Electric Turbocharging for Energy Regeneration and Increased Efficiency at Real Driving Conditions

Modern downsized internal combustion engines benefit from high-efficiency turbocharging systems for increasing their volumetric efficiency. However, despite the efficiency increase, turbochargers often lack fast transient response due to the nature of the energy exchange with the engine, which deteriorates the vehicle’s drivability. An electrically-assisted turbocharger can be used for improving the transient response without any parasitic losses to the engine while providing energy recovery for increasing overall system efficiency. The present study provides a detailed numerical investigation on the potential of e-turbocharging to control load and if possible replace the wastegate valve. A parametric study of the optimum compressor/turbine sizing and wastegate area was performed for maximum torque, fast response time and energy regeneration across the real driving conditions speed/load area of the engine. The results showed that the implementation of a motor-generator could contribute to reducing the response time of the engine by up to 90% while improving its thermal efficiency and generating up to 6.6 kWh of energy. Suppressing the wastegate can only be achieved when a larger turbine is implemented, which as a result deteriorates the engine’s response and leads to energy provision demands at low engine speeds.


Introduction
The demand for low fuel consumption and CO 2 generation vehicles over the last few years has popularly increased the necessity of downsizing and increasing the overall thermal efficiency of Internal Combustion (IC) engines.Downsizing is the process of reducing the volumetric capacity of an engine for reduced throttling and friction losses while its boosting capabilities need to be increased for higher specific heat.This can be achieved by the implementation of a boosting device (turbocharger or supercharger) for increased air pressure at the intake of the engine and therefore higher volumetric efficiency.
A turbocharger is a device that recovers the waste energy from the engine's exhaust gasses and uses it to compress the air at the engine's intake.The level of compression is directly linked to the amount of air passing through the turbine, and it can be controlled by either bypassing part of the flow through a Wastegate (WG) or by changing the nozzle position of the turbine (VGT, Variable-geometry turbocharger).The proportion of the waste-gated flow can be up to 50% for high speed and load conditions, which imply a vast amount of unexploited energy.The drawback of this device is that due to the nature of the energy exchange between the engine and the turbocharger (filling of the intake and exhaust manifolds and low exhaust energy at low speeds/loads), the transient performance during Over the last few years, keen interest has been shown in the numerical and experimental investigation of the motor-generator technology application in high-duty engines by several research groups.Terdich and Martinez-Botas [12] experimentally characterized a variable geometry turbocharger with a motor-generator technology.The authors found that the motor-generator is capable of delivering a maximum shaft power of 3.5 kW in motoring mode and 5.4 kW in generating mode.The peak electrical efficiency was more than 90% in both modes and occurred at 120,000 revs/min.Airse et al. [13] developed a comprehensive powertrain model to evaluate the benefits of an electric turbo-compound, working in both generator and motor mode, in reducing CO 2 emissions from small diesel passenger cars.The simulations showed a reduction in CO 2 and fuel consumption of over 4% for the New European Driving Cycle (NEDC).Algrain [14] developed an advanced control system for a motor-generator fitted in a heavy-duty diesel engine for improving the overall fuel efficiency.The simulation results showed that at the rated power, the fuel consumption of a Class-8 on-highway truck engine could be reduced by almost 10%, while the overall reduction in fuel consumption was estimated to be around 5%. Pasini et al. [15] focused on the evaluation of the benefits resulting from the application of an Electric Turbo Compound (ETC) to a small-sized twin-cylinder Spark-Ignition (SI) engine and to a four-cylinder Compression-Ignition (CI) engine with the same power rating.They found that by absorbing electrical energy from the battery, the ETC can lead to significant Brake-Specific Fuel Consumption (BSFC) reductions of up to 4% at the highest engine speeds and loads for the SI engine and up to 6% for the CI engine at 4000 rpm half load.Furthermore, calculations have shown that in the case of the CI engine, the maximum electric power that can be recovered by the ETC is around 4 kW at 4000 rpm full load, while in the case of the SI engine, the maximum power is 1.5 kW.
Tavcar et al. [16] presented a comprehensive study on engine performance improvement attributable to the application of different electrically-assisted turbocharger topologies, including a single-stage turbocharger, an electrically-assisted turbocharger, a turbocharger with an additional electrically-driven compressor and an electrically-split turbocharger (supercharger and turbo-generator).The results revealed that all of the electrically-assisted turbocharger topologies improve the transient response of the engine and, thus, the drivability of the vehicle.However, no electrically-assisted turbocharger topology could clearly be favoured in general.
In this paper, a detailed investigation of the potential of e-turbocharging to control load while providing energy recovery for increasing the overall system efficiency and if possible replace the wastegate boost control is provided.The current approach of e-turbocharging requires larger turbine systems that do not build up backup pressure and provide electrical assistance at low engine speeds.However, with this configuration, the energy regeneration occurs only at high speed and load areas of the engine, as shown in Figure 1a.The proposed study focusses on shifting the energy regeneration towards the low-speed area, which represents more realistic driving conditions, as shown in Figure 1b.Energy assistance is provided to the engine when the maximum power characteristics of the engine need to be met.The study is performed on a 2.0 L turbocharged SI engine under steady-state and transient driving conditions.The research work focuses on the availability of energy and the effects of component sizing, the transient behaviour for eliminating turbo lag and the overall system energy balance during various driving conditions.
After a comprehensive introduction in this section, Section 2 outlines the engine model used for the study and any relatively small modifications occurring for the purpose of electrifying the turbocharger.A detailed model validation against experimental data is also presented in Model Validation.Section 3 describes the methodology followed for all of the simulation studies conducted under steady-state and transient conditions.The simulation results for all of the studies performed are analysed and discussed in Section 4. Finally, Section 5 summarizes the main findings of this work and proposes future work in the area of the electrification of turbocharging systems.

Computational Model
The present numerical study was performed on a 1D gas dynamic environment using the GT-Power software tool (v7.5.0,Gamma Technologies, LLC., Westmont, IL, USA, 2014).The model used for this study, shown in Figure 2, represents a 2.0 L spark-ignition turbocharged engine.The model, previously used in [17], was provided by the engine supplier, and it has been validated against experimental data in both steady-state and transients by POWERTECH Engineering (see Section 2.1).

Computational Model
The present numerical study was performed on a 1D gas dynamic environment using the GT-Power software tool (v7.5.0,Gamma Technologies, LLC., Westmont, IL, USA, 2014).The model used for this study, shown in Figure 2, represents a 2.0 L spark-ignition turbocharged engine.The model, previously used in [17], was provided by the engine supplier, and it has been validated against experimental data in both steady-state and transients by POWERTECH Engineering (see Model Validation).

Computational Model
The present numerical study was performed on a 1D gas dynamic environment using the GT-Power software tool (v7.5.0,Gamma Technologies, LLC., Westmont, IL, USA, 2014).The model used for this study, shown in Figure 2, represents a 2.0 L spark-ignition turbocharged engine.The model, previously used in [17], was provided by the engine supplier, and it has been validated against experimental data in both steady-state and transients by POWERTECH Engineering (see Section 2.1).The baseline 2.0 L engine model was used only for the Phase 1 study of the steady-state simulations, which included a wastegate enthalpy loss study for quantifying the energy availability across the speed/load map of the engine.
For the Phase 2 and Phase 3 of the steady-state simulations, as well as the transient simulations included in this paper, the model was modified by implementing a motor/generator (M/G) component model.The motor/generator was connected directly to the turbocharger's shaft, as shown in Figure 3.The baseline 2.0 L engine model was used only for the Phase 1 study of the steady-state simulations, which included a wastegate enthalpy loss study for quantifying the energy availability across the speed/load map of the engine.
For the Phase 2 and Phase 3 of the steady-state simulations, as well as the transient simulations included in this paper, the model was modified by implementing a motor/generator (M/G) component model.The motor/generator was connected directly to the turbocharger's shaft, as shown in Figure 3.The original model was fitted with a wastegate/boost pressure and a throttle/brake mean effective pressure proportional-integral-derivative (BMEP PID) controllers for achieving the targeted boost pressure and BMEP.The target values for different engine speeds and loads were provided to the model using look-up tables.For the electrically-assisted model, two new PID controllers were introduced or replaced the original controllers as necessary, depending on the type of study.These are:

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A motor/generator (M/G)/boost pressure controller for achieving the desired intake pressure • A WG/pre-turbine pressure controller for achieving the desired pre-turbine pressure The compressor and turbine mass flow multipliers were modified and spanned in the range of 0.7 to 1.3 for the purpose of undertaking parametric studies with different component sizing, as shown in Equation (1).By restricting or enhancing the mass flow rate within a component, the size of the component can be simulated.

Average mass flow rate
where ṁ is the mass flow rate through the part (in the case of the turbine, the wastegate mass flow is excluded).Although this approach would not promise a high level of accuracy, it is deemed to be reliable to predict the trend of the overall system's behaviour when the turbine or compressor sizing is increased or decreased compared to the original components based on a highly-calibrated engine.Furthermore, the wastegate area was modified from completely closed to diameters larger than the baseline engine.However, due to the change of the size of critical components, the operation of the engine and its main parameters needs to be closely monitored to ensure realistic performance.For this reason, the parameters limits shown in Table 1 were set and established, which were not violated during the parametric studies.The original model was fitted with a wastegate/boost pressure and a throttle/brake mean effective pressure proportional-integral-derivative (BMEP PID) controllers for achieving the targeted boost pressure and BMEP.The target values for different engine speeds and loads were provided to the model using look-up tables.For the electrically-assisted model, two new PID controllers were introduced or replaced the original controllers as necessary, depending on the type of study.These are:

•
A motor/generator (M/G)/boost pressure controller for achieving the desired intake pressure • A WG/pre-turbine pressure controller for achieving the desired pre-turbine pressure The compressor and turbine mass flow multipliers were modified and spanned in the range of 0.7 to 1.3 for the purpose of undertaking parametric studies with different component sizing, as shown in Equation (1).By restricting or enhancing the mass flow rate within a component, the size of the component can be simulated.

Average mass flow rate
where ṁ is the mass flow rate through the part (in the case of the turbine, the wastegate mass flow is excluded).Although this approach would not promise a high level of accuracy, it is deemed to be reliable to predict the trend of the overall system's behaviour when the turbine or compressor sizing is increased or decreased compared to the original components based on a highly-calibrated engine.Furthermore, the wastegate area was modified from completely closed to diameters larger than the baseline engine.However, due to the change of the size of critical components, the operation of the engine and its main parameters needs to be closely monitored to ensure realistic performance.For this reason, the parameters limits shown in Table 1 were set and established, which were not violated during the parametric studies.

Model Validation
A high fidelity engine model validated against experimental data for a conventional layout, in both steady-state and transients, has been applied in this study.The calibration of the combustion model (SI Wiebe) was performed by isolating Cylinder 1 of the engine and performing a Three Pressure Analysis (TPA).Figure 4 represents the comparison between measurements and simulation results for all engine cylinders at low loads.

Model Validation
A high fidelity engine model validated against experimental data for a conventional layout, in both steady-state and transients, has been applied in this study.The calibration of the combustion model (SI Wiebe) was performed by isolating Cylinder 1 of the engine and performing a Three Pressure Analysis (TPA).Figure 4 represents the comparison between measurements and simulation results for all engine cylinders at low loads.The small cylinder-to-cylinder variations observed in the measured data were difficult to capture in the 1D simulation.These variations may be a result of several factors, such as 3D air and gas flow behaviours at the intake and exhaust or different thermal conditions.Although there were slight variations, a good agreement between measured and simulated mass air flow and averaged indicated mean effective pressure (IMEP) (error of less than 2%) was observed for full load conditions, as shown in Table 2.For part-load cases, the discrepancy between measured and simulated results was slightly larger, as can be found in Table 3.However, despite the 9.37% error in the averaged IMEP for the low-load case, the averaged absolute error in net IMEP was below 0.3 bar.Therefore, the modelling of the scavenging system and combustion system at low engine load is satisfactory.The small cylinder-to-cylinder variations observed in the measured data were difficult to capture in the 1D simulation.These variations may be a result of several factors, such as 3D air and gas flow behaviours at the intake and exhaust or different thermal conditions.Although there were slight variations, a good agreement between measured and simulated mass air flow and averaged indicated mean effective pressure (IMEP) (error of less than 2%) was observed for full load conditions, as shown in Table 2.For part-load cases, the discrepancy between measured and simulated results was slightly larger, as can be found in Table 3.However, despite the 9.37% error in the averaged IMEP for the low-load case, the averaged absolute error in net IMEP was below 0.3 bar.Therefore, the modelling of the scavenging system and combustion system at low engine load is satisfactory.The overall shape of the port pressures at three operating points was captured.Figure 5 outlines the measured and simulated instantaneous pressure at the exhaust port of Cylinder 1 for medium engine loads.As can be seen from the figure, the magnitude of the pressure wave reflections was well predicted.The overall shape of the port pressures at three operating points was captured.Figure 5 outlines the measured and simulated instantaneous pressure at the exhaust port of Cylinder 1 for medium engine loads.As can be seen from the figure, the magnitude of the pressure wave reflections was well predicted.The validation of the transient performance of the model was also performed against experimental data collected from transient tests performed with various wastegate positions.The calibration was performed for three different boost pressures and the comparison between measured and simulated mass air flow is presented in Figure 6.The experimental and simulation results show a good agreement with small variations (5%) that could be a result of the scavenging model in the 1D engine simulation.

Methodology
The simulations performed in this paper are divided into two main subsections of steady-state and transient analysis.Each of the subsections is further divided into smaller segments to represent The validation of the transient performance of the model was also performed against experimental data collected from transient tests performed with various wastegate positions.The calibration was performed for three different boost pressures and the comparison between measured and simulated mass air flow is presented in Figure 6.The experimental and simulation results show a good agreement with small variations (5%) that could be a result of the scavenging model in the 1D engine simulation.The overall shape of the port pressures at three operating points was captured.Figure 5 outlines the measured and simulated instantaneous pressure at the exhaust port of Cylinder 1 for medium engine loads.As can be seen from the figure, the magnitude of the pressure wave reflections was well predicted.The validation of the transient performance of the model was also performed against experimental data collected from transient tests performed with various wastegate positions.The calibration was performed for three different boost pressures and the comparison between measured and simulated mass air flow is presented in Figure 6.The experimental and simulation results show a good agreement with small variations (5%) that could be a result of the scavenging model in the 1D engine simulation.

Methodology
The simulations performed in this paper are divided into two main subsections of steady-state and transient analysis.Each of the subsections is further divided into smaller segments to represent

Methodology
The simulations performed in this paper are divided into two main subsections of steady-state and transient analysis.Each of the subsections is further divided into smaller segments to represent different types of studies.A detailed flowchart of all of the simulations performed in this paper is shown in Figure 7.  Finally, it needs to be highlighted that all of the studies presented in this paper show the potential available energy in the system.Any electrical losses such as alternator, converter and battery losses have not been considered at this point.

Steady-State Simulations
The steady state analysis of the model was performed in the area of three axes, compressor and turbine size and WG area, as shown in Figure 8.The purpose of the study was to understand the effects of the compressor and turbine sizing on the amount of energy that needs to be provided/harvested by the motor/generator and to identify any regions where the e-turbo can replace the wastegate for load control.Finally, it needs to be highlighted that all of the studies presented in this paper show the potential available energy in the system.Any electrical losses such as alternator, converter and battery losses have not been considered at this point.

Steady-State Simulations
The steady state analysis of the model was performed in the area of three axes, compressor and turbine size and WG area, as shown in Figure 8.The purpose of the study was to understand the effects of the compressor and turbine sizing on the amount of energy that needs to be provided/harvested by the motor/generator and to identify any regions where the e-turbo can replace the wastegate for load control.Finally, it needs to be highlighted that all of the studies presented in this paper show the potential available energy in the system.Any electrical losses such as alternator, converter and battery losses have not been considered at this point.

Steady-State Simulations
The steady state analysis of the model was performed in the area of three axes, compressor and turbine size and WG area, as shown in Figure 8.The purpose of the study was to understand the effects of the compressor and turbine sizing on the amount of energy that needs to be provided/harvested by the motor/generator and to identify any regions where the e-turbo can replace the wastegate for load control.The steady-state simulations are divided into three phases based on the type of investigation.
• Phase 1: Assessment of the amount of enthalpy loss for the baseline engine across the speed/load map and how this is affected by the compressor and turbine's size.

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Phase 2: Investigation of the potential of suppressing WG and using e-turbo to control boosting.

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Phase 3: Reinstatement of the WG to control exhaust manifold pressure and explore the trade-off between WG and turbine size.

Phase 1: WG Enthalpy Loss Study
The first phase of the study was performed to calculate the amount of energy that is lost through the wastegate of a modern 2.0 L turbocharged gasoline engine.The amount of power loss was calculated using the equation: where Q is the amount of heat to the system (power), m is the mass flow rate through the wastegate, c p is the specific heat of the gas and ∆T is the temperature difference.
A Design of Experiment (DoE) analysis was performed to evaluate the effects of the compressor and turbine's size on the amount of enthalpy loss, combustion limiting parameters and maximum engine power.The nine cases studied are described in Table 4. Phase 2 of the steady-state simulations section involves the application of a motor/generator, which is directly linked to the shaft of the turbocharger.The purpose of the motor/generator is to provide or harvest energy, as needed, to/by the compressor for achieving the boosting demands of the engine.For this phase, the WG has been completely suppressed and the model run once with the original size of the compressor and turbine.However due, to the shut off of the WG valve, extremely high pre-turbine pressures violating the limits at high loads were noticed.
A sweep study was performed for five different turbine sizes (10% to 50% larger) to evaluate the optimum turbine size for the model without a WG valve.Then, the optimum turbine was tested for different compressor sizes (20% smaller to 20% larger) to evaluate its effect on the energy harvesting/provision requirements.

Phase 3: Reinstating WG to Control Exhaust Manifold Pressure
Phase 3 of the steady-state simulations involves the reinstatement of the WG valve for reducing the required size of the turbine and enhancing the energy performance across the low speeds area of the engine's speed/load map.This section is divided into four studies, as shown below:

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Turbine size: WG area balance study • Smaller turbine: increased WG area study • Smaller turbine: increased pre-turbine pressure study (smaller WG area)

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Smaller turbine: variable pre-turbine pressure study (smaller and larger WG area)

Transient Simulations
The findings in the steady-state simulations section (see the Results Section) demonstrated that a model fitted with a motor-generator and a turbine 10% smaller than the original could provide energy harvesting and thermal efficiency gain across the speed/load map of the engine.The transient behaviour of the model with this configuration, an original size compressor and increased pre-turbine pressures was tested by performing three different types of simulations, as shown below: Energy balance study for various driving cycles and real driving conditions The purpose of the transient study was to reveal the response time improvement under different levels of energy provision to the compressor, as well as to perform an energy balance review.This is required in order to identify whether the e-turbocharger can operate without energy consumption from the engine and if any excess on the total energy generated.

Load Step Transient Simulations
The load tip-in study was performed for two engine speeds of interest, 1600 and 1100 rpm, close to the surge limit of the compressor.The load tip-in step requested was from 2 bar BMEP to full load BMEP (19 bar).However, due to the engine speeds at which the tests were performed, the requested BMEP could not be achieved.
The study was initially performed for the model with all of the PID controllers.However, for ensuring that the results are not affected by the tuning of the controllers, the study was repeated in an open-loop environment (no PID controllers).The PID controllers in the model were removed and replaced by look-up tables for controlling the boost pressure and throttle position of the engine, as shown in Table 5.This allows a hardware capability investigation to be performed by eliminating any effects of the PID controllers.The energy provided to the compressor was divided into four sections of 0.25 seconds, and different levels of power (1, 3 and 5 kW) were provided in each section.

Fixed Gear Vehicle Speed Transient Simulations
The purpose of this study was to represent the vehicle's driving conditions and test the model for a fixed gear (third) vehicle speed transient.For this reason, a driving resistance load of 30 Nm was applied to represent the rolling resistance along with the flywheel's inertia given by the following formula: I eq = I eq,eng + I eq,prop + I eq,axle + I eq,veh , where I eq is the total inertia (kg•m 2 ), I eq,eng is the engine's inertia, I eq,prop is the prop shaft inertia, I eq,axle is the axle inertia and I eq,veh is the vehicle mass equivalent inertia, as shown in Figure 9.
for a fixed gear (third) vehicle speed transient.For this reason, a driving resistance load of 30 Nm was applied to represent the rolling resistance along with the flywheel's inertia given by the following formula: where Ieq is the total inertia (kg•m 2 ), Ieq,eng is the engine's inertia, Ieq,prop is the prop shaft inertia, Ieq,axle is the axle inertia and Ieq,veh is the vehicle mass equivalent inertia, as shown in Figure 9.The study was performed for four different levels of targeted BMEP, as shown in Figure 10, representing the aggressiveness with which a vehicle's pedal can be pressed.The tests were repeated twice for different pre-turbine pressures, which were controlled by implementing a pre-turbine pressure/WG PID controller.The study was performed for four different levels of targeted BMEP, as shown in Figure 10, representing the aggressiveness with which a vehicle's pedal can be pressed.The tests were repeated twice for different pre-turbine pressures, which were controlled by implementing a pre-turbine pressure/WG PID controller.

Energy Balance Simulations
The studies performed in the previous sections highlight the significant improvement on the transient response time of the engine during load and speed tip-in conditions (see Results Section).The work performed in this section investigates whether the power harvested by the generator is enough to cover the motor demands.The energy balance study for a specific vehicle was conducted for the following driving cycles with the pre-turbine pressure target set at 15% higher than the baseline engine for the low to medium loads and 5% for the full load conditions:

Energy Balance Simulations
The studies performed in the previous sections highlight the significant improvement on the transient response time of the engine during load and speed tip-in conditions (see Results Section).The work performed in this section investigates whether the power harvested by the generator is enough to cover the motor demands.The energy balance study for a specific vehicle was conducted for the following driving cycles with the pre-turbine pressure target set at 15% higher than the baseline engine for the low to medium loads and 5% for the full load conditions: Combined driving conditions: including equal amounts of various realistic driving conditions, such as low speed, start-stop, highway, motorway, uphill, downhill and dangerous overtaking conditions.
The engine speed and BMEP demands for the four driving cycles are shown in Figure 11.
with suitable weighting factors.3. US06: representing aggressive, high-speed and/or high acceleration driving behaviour, rapid speed fluctuations and driving behaviour following startup.4. Combined driving conditions: including equal amounts of various realistic driving conditions, such as low speed, start-stop, highway, motorway, uphill, downhill and dangerous overtaking conditions.
The engine speed and BMEP demands for the four driving cycles are shown in Figure 11.

Results and Discussion
The results of the simulation studies performed in this paper are categorized in a similar manner to that of the Methodology Section.The results in Figure 12 show that the energy loss through the wastegate for the model with the original size of compressor and turbine (Case 9) can reach the amount of 5 kW at high engine speeds and loads.The amount of the potential energy dismissed at medium load and engine speed conditions is of lower magnitude, up to 2 kW.At low loads and speeds, there is no wasted energy, as the WG is completely closed.

Results and Discussion
The results of the simulation studies performed in this paper are categorized in a similar manner to that of the Methodology Section.The results in Figure 12 show that the energy loss through the wastegate for the model with the original size of compressor and turbine (Case 9) can reach the amount of 5 kW at high engine speeds and loads.The amount of the potential energy dismissed at medium load and engine speed conditions is of lower magnitude, up to 2 kW.At low loads and speeds, there is no wasted energy, as the WG is completely closed.Figure 12 highlights the effect of a smaller turbine and compressor on the amount of waste-gated flow and the maximum power of the engine.As can be seen, a smaller compressor (Cases 7 and 8) cannot provide the boosting requirements needed to achieve maximum engine's power at medium and high engine speeds.On the other hand, a smaller turbine (Cases 3 and 6) can slightly increase the amount of waste-gated flow at medium engine speed and load conditions.However, a smaller turbine leads to increased pre-turbine pressure, in some cases violating the maximum limit set, and reduces the maximum torque of the engine.Figure 12 highlights the effect of a smaller turbine and compressor on the amount of waste-gated flow and the maximum power of the engine.As can be seen, a smaller compressor (Cases 7 and 8) cannot provide the boosting requirements needed to achieve maximum engine's power at medium and high engine speeds.On the other hand, a smaller turbine (Cases 3 and 6) can slightly increase the amount of waste-gated flow at medium engine speed and load conditions.However, a smaller turbine leads to increased pre-turbine pressure, in some cases violating the maximum limit set, and reduces the maximum torque of the engine.4.1.2.Phase 2: Suppressing WG and Using e-Turbo to Control Boosting Suppressing the wastegate of an engine leads to extremely high pre-turbine pressures at medium to high loads.Figure 13 presents the pre-turbine pressures and peak engine torques achieved for various turbine sizes and the wastegate valve closed.As shown from the figure, a turbine 30% larger than the original size can provide or even increase the maximum power targets of the baseline engine without violating the pre-turbine pressure limit.A torque deficit occurs at 1000 rpm, but this is mainly due to a poor model convergence at this specific engine speed near the surge line and not the incapacity of the engine to achieve the targeted torque.Suppressing the wastegate of an engine leads to extremely high pre-turbine pressures at medium to high loads.Figure 13 presents the pre-turbine pressures and peak engine torques achieved for various turbine sizes and the wastegate valve closed.As shown from the figure, a turbine 30% larger than the original size can provide or even increase the maximum power targets of the baseline engine without violating the pre-turbine pressure limit.A torque deficit occurs at 1000 rpm, but this is mainly due to a poor model convergence at this specific engine speed near the surge line and not the incapacity of the engine to achieve the targeted torque.The results in Figure 14 show that with this configuration, extremely high amounts of energy, more than 15 kW, can be harvested at high engine speeds and loads.The system can harvest energy up to 10 kW at medium to high engine speeds.However, as can be seen, the larger turbine results in considerable amounts of energy that need to be provided by the motor for meeting, if possible, the targeted maximum torque at low engine speed conditions.This is happening due to the lower pre-turbine pressures and increased turbocharger's inertia at a non-boosting area of the engine's map.The results in Figure 14 show that with this configuration, extremely high amounts of energy, more than 15 kW, can be harvested at high engine speeds and loads.The system can harvest energy up to 10 kW at medium to high engine speeds.However, as can be seen, the larger turbine results in considerable amounts of energy that need to be provided by the motor for meeting, if possible, the targeted maximum torque at low engine speed conditions.This is happening due to the lower pre-turbine pressures and increased turbocharger's inertia at a non-boosting area of the engine's map.

Steady-State Analysis
The next stage in this phase was to investigate the potential of reducing the amount of energy needs to be provided by changing the compressor's size.For this reason, five different compressors (multipliers of 0.8 to 1.2) were tested, and the results are presented in Figure 15.
It is clearly shown in Figure 15 that a small compressor could reduce the power level needs to be provided by the motor from 0.6 down to 0.2 kW at 1600 rpm with no effect on the engine's maximum torque.However, a smaller compressor would also reduce the amount of energy that can be harvested (from 18.5 down to 17 kW) at high engine speeds; but foremost, it would struggle to meet the maximum engine's torque demands.
The results in Figure 14 show that with this configuration, extremely high amounts of energy, more than 15 kW, can be harvested at high engine speeds and loads.The system can harvest energy up to 10 kW at medium to high engine speeds.However, as can be seen, the larger turbine results in considerable amounts of energy that need to be provided by the motor for meeting, if possible, the targeted maximum torque at low engine speed conditions.This is happening due to the lower pre-turbine pressures and increased turbocharger's inertia at a non-boosting area of the engine's map.The next stage in this phase was to investigate the potential of reducing the amount of energy needs to be provided by changing the compressor's size.For this reason, five different compressors (multipliers of 0.8 to 1.2) were tested, and the results are presented in Figure 15.The results in Figure 14 show that w more than 15 kW, can be harvested at high up to 10 kW at medium to high engine spe considerable amounts of energy that need targeted maximum torque at low engine pre-turbine pressures and increased turboc It is clearly shown in Figure 15 that a small compressor could reduce the power level needs to be provided by the motor from 0.6 down to 0.2 kW at 1600 rpm with no effect on the engine's maximum torque.However, a smaller compressor would also reduce the amount of energy that can be harvested (from 18.5 down to 17 kW) at high engine speeds; but foremost, it would struggle to meet the maximum engine's torque demands.

Phase 3: Reinstating WG to Control Exhaust Manifold Pressure Turbine Size: WG Area Balance Study
The first part of this phase includes a DoE study for investigating the benefits on the engine's maximum power and energy recovery for a smaller turbine (multipliers less than 1.3) and the WG valve open at different positions (smaller than the original model), as shown in Table 6.The results in Figure 16 show that with a 20% larger turbine (rather than 30%) and the WG valve open at half the size as the baseline engine, maximum engine torque can be achieved.The smaller turbine and the open WG reduced the maximum amount of energy harvested at high speeds from 18 down to 12 kW.However, the benefit on the low-speed side of the map was relatively low, as the amount of energy that needs to be provided by the motor at 1600 rpm went from 0.6 down to 0.45 kW.The first part of this phase includes a DoE study for investigating the benefits on the engine's maximum power and energy recovery for a smaller turbine (multipliers less than 1.3) and the WG valve open at different positions (smaller than the original model), as shown in Table 6.The results in Figure 16 show that with a 20% larger turbine (rather than 30%) and the WG valve open at half the size as the baseline engine, maximum engine torque can be achieved.The smaller turbine and the open WG reduced the maximum amount of energy harvested at high speeds from 18 down to 12 kW.However, the benefit on the low-speed side of the map was relatively low, as the amount of energy that needs to be provided by the motor at 1600 rpm went from 0.6 down to 0.45 kW.

Turb×1.2-WG/3
The results in Figure 16 show that with a 20% larger turbine (rather than 30%) and the WG valve open at half the size as the baseline engine, maximum engine torque can be achieved.The smaller turbine and the open WG reduced the maximum amount of energy harvested at high speeds from 18 down to 12 kW.However, the benefit on the low-speed side of the map was relatively low, as the amount of energy that needs to be provided by the motor at 1600 rpm went from 0.6 down to 0.45 kW.Smaller Turbine: Increased WG Area Study Despite the fact that a large turbine allows energy harvesting within the pre-turbine pressure limit at the high speed and load conditions, it also leads to low speeds and loads' poor performance.This could be theoretically resolved by implementing a small turbine and controlling the pre-turbine pressure limits by increasing the wastegate area.The following DoE study results show the effects of three compressors smaller than the original (multipliers of 0.7 to 0.9) and the WG area open at values 10% to 50% larger (multipliers of 1.1 to 1.5) than in the baseline engine.
The results in Figure 17 illustrate that a small turbine can lead to lower energy demands and power generation at low speed/load conditions.However, the smaller the turbine, the higher the pre-turbine pressures, which deteriorate the engine's power output at full load conditions.By increasing the WG area, the pre-turbine pressure drops, and therefore, the full load performance of the engine increases.However, even a 10% increase in the WG area leads to high levels of energy requirements for meeting the baseline engine's power characteristics.Despite the fact that a large turbine allows energy harvesting within the pre-turbine pressure limit at the high speed and load conditions, it also leads to low speeds and loads' poor performance.This could be theoretically resolved by implementing a small turbine and controlling the pre-turbine pressure limits by increasing the wastegate area.The following DoE study results show the effects of three compressors smaller than the original (multipliers of 0.7 to 0.9) and the WG area open at values 10% to 50% larger (multipliers of 1.1 to 1.5) than in the baseline engine.
The results in Figure 17 illustrate that a small turbine can lead to lower energy demands and power generation at low speed/load conditions.However, the smaller the turbine, the higher the pre-turbine pressures, which deteriorate the engine's power output at full load conditions.By increasing the WG area, the pre-turbine pressure drops, and therefore, the full load performance of the engine increases.However, even a 10% increase in the WG area leads to high levels of energy requirements for meeting the baseline engine's power characteristics.Suppressing the wastegate of an engine leads to extremely high pre-turbine pre to high loads.Figure 13 presents the pre-turbine pressures and peak engine tor various turbine sizes and the wastegate valve closed.As shown from the figure, a t than the original size can provide or even increase the maximum power targets of t without violating the pre-turbine pressure limit.A torque deficit occurs at 1000 rpm due to a poor model convergence at this specific engine speed near the surge incapacity of the engine to achieve the targeted torque.The results in Figure 14 show that with this configuration, extremely high am more than 15 kW, can be harvested at high engine speeds and loads.The system c up to 10 kW at medium to high engine speeds.However, as can be seen, the larger considerable amounts of energy that need to be provided by the motor for meetin targeted maximum torque at low engine speed conditions.This is happening pre-turbine pressures and increased turbocharger's inertia at a non-boosting area of The next stage in this phase was to investigate the potential of reducing the needs to be provided by changing the compressor's size.For this reason, five diffe (multipliers of 0.8 to 1.2) were tested, and the results are presented in Figure 15.
indicates energy provision area.The next study in phase 3 focuses on the effects of a smaller turbine with a reduced WG area compared to the baseline engine for benefiting from a good energy balance across the low and high load areas of the engine's speed/load map.For this study, the WG area is controlled indirectly by setting up a PID controller between the WG valve and the pre-turbine pressure.The targeted value is the pre-turbine pressure, which is set to increased values of 5%, 10% and 15% (multipliers of 1.05 to 1.15) compared to the baseline engine, but always within the set pre-turbine pressure limit.
Figure 18 shows that for a 10% smaller turbine (multiplier of 0.9) than the baseline engine, the e-turbo can harvest energy (up to 4 kW) at most points of the map, except the 1000 rpm speed, where the results are not highly trusted due to non-convergence of the model.Although, the increased pre-turbine pressure leads to increased energy harvesting levels, it also, as expected, reduces the maximum power output of the engine.A 5% pre-turbine pressure increase leads to a 5% penalty on the engine's maximum torque, while for the case with the pre-turbine pressure set at 15% higher, the torque penalty is around 10%. is the pre-turbine pressure, which is set to increased values of 5%, 10% and 15% (multipliers of 1.05 to 1.15) compared to the baseline engine, but always within the set pre-turbine pressure limit.
Figure 18 shows that for a 10% smaller turbine (multiplier of 0.9) than the baseline engine, the e-turbo can harvest energy (up to 4 kW) at most points of the map, except the 1000 rpm speed, where the results are not highly trusted due to non-convergence of the model.Although, the increased pre-turbine pressure leads to increased energy harvesting levels, it also, as expected, reduces the maximum power output of the engine.A 5% pre-turbine pressure increase leads to a 5% penalty on the engine's maximum torque, while for the case with the pre-turbine pressure set at 15% higher, the torque penalty is around 10%.The previous study showed that with the right component sizing, energy harvesting could be achieved across most of the speed/load map area of the engine.However, this leads to torque sacrifice at full load conditions.This penalty can be reduced or even eliminated by adjusting the targeted pre-turbine pressure of the engine when running at full load conditions.The present study shows the effects of various pre-turbine targeted values, larger and smaller than the baseline engine, to the maximum power output of the engine and the average power harvested or that needs to be provided by the motor-generator.Suppressing the wastegate of an engine leads to extreme to high loads.Figure 13 presents the pre-turbine pressures various turbine sizes and the wastegate valve closed.As show than the original size can provide or even increase the maxim without violating the pre-turbine pressure limit.A torque def due to a poor model convergence at this specific engine incapacity of the engine to achieve the targeted torque.The results in Figure 14 show that with this configurat more than 15 kW, can be harvested at high engine speeds an up to 10 kW at medium to high engine speeds.However, as considerable amounts of energy that need to be provided by targeted maximum torque at low engine speed conditions pre-turbine pressures and increased turbocharger's inertia at The next stage in this phase was to investigate the pote needs to be provided by changing the compressor's size.Fo (multipliers of 0.8 to 1.2) were tested, and the results are pres indicates energy provision area.

Smaller Turbine: Variable Pre-Turbine Pressure Study
The previous study showed that with the right component sizing, energy harvesting could be achieved across most of the speed/load map area of the engine.However, this leads to torque sacrifice at full load conditions.This penalty can be reduced or even eliminated by adjusting the targeted pre-turbine pressure of the engine when running at full load conditions.The present study shows the effects of various pre-turbine targeted values, larger and smaller than the baseline engine, to the maximum power output of the engine and the average power harvested or that needs to be provided by the motor-generator.
As is shown in Figure 19, at full load conditions, the maximum power output of the baseline engine can be met by running the engine at the original pre-turbine pressures or slightly lower.However, this leads to energy provision demands by the e-turbo of up to 2 kW.Higher power outputs, which often work as selling points for automotive manufacturers, can be achieved by running at lower pressures and providing significant amounts of power to the compressor.As is shown in Figure 19, at full load conditions, the maximum power output of the baseline engine can be met by running the engine at the original pre-turbine pressures or slightly lower.However, this leads to energy provision demands by the e-turbo of up to 2 kW.Higher power outputs, which often work as selling points for automotive manufacturers, can be achieved by running at lower pressures and providing significant amounts of power to the compressor.

Overall Engine Efficiency
The overall efficiency of the baseline engine, which is calculated using the brake power achieved over the total fuel power, can reach levels higher than 35% at medium to high load conditions.On the other hand, the overall efficiency of the electrically-assisted turbocharged engine is given by the brake power achieved plus the energy harvested or provided by the e-turbo divided by the total fuel power.Figure 20 shows the comparison charts between the overall efficiency of the baseline engine and four cases studied in Phase 2 and Phase 3 of the steady-state simulations.
It is evident in Figure 20 that the implementation of a motor-generator linked to the turbocharger leads to an overall engine efficiency increase at medium and high loads and engine speeds for all of the cases.The cases with a reduced turbine size (multiplier of 0.9) benefit from an increased overall efficiency across the whole map.Finally, the high pre-turbine pressures show a significant effect on the overall efficiency gain of the model.
By assessing the work presented in the three phases of the steady-state simulations, the ideal engine layout can be summarized as shown in Figure 21.

Overall Engine Efficiency
The overall efficiency of the baseline engine, which is calculated using the brake power achieved over the total fuel power, can reach levels higher than 35% at medium to high load conditions.On the other hand, the overall efficiency of the electrically-assisted turbocharged engine is given by the brake power achieved plus the energy harvested or provided by the e-turbo divided by the total fuel power.Figure 20 shows the comparison charts between the overall efficiency of the baseline engine and four cases studied in Phase 2 and Phase 3 of the steady-state simulations.
It is evident in Figure 20 that the implementation of a motor-generator linked to the turbocharger leads to an overall engine efficiency increase at medium and high loads and engine speeds for all of the cases.The cases with a reduced turbine size (multiplier of 0.9) benefit from an increased overall efficiency across the whole map.Finally, the high pre-turbine pressures show a significant effect on the overall efficiency gain of the model.
By assessing the work presented in the three phases of the steady-state simulations, the ideal engine layout can be summarized as shown in Figure 21.
It is evident in Figure 20 that the implementation of a motor-generator linked to the turbocharger leads to an overall engine efficiency increase at medium and high loads and engine speeds for all of the cases.The cases with a reduced turbine size (multiplier of 0.9) benefit from an increased overall efficiency across the whole map.Finally, the high pre-turbine pressures show a significant effect on the overall efficiency gain of the model.
By assessing the work presented in the three phases of the steady-state simulations, the ideal engine layout can be summarized as shown in Figure 21.

Transient Analysis
The results in the steady-state simulations section demonstrated that a model fitted with a motor-generator and a turbine 10% smaller than the original could provide energy harvesting and thermal efficiency gain across the speed/load map of the engine.The transient behaviour of the model with this configuration, an original size compressor and increased pre-turbine pressures were tested by performing three different types of simulations.

Model with PID Controllers
The load step transient study was repeated five times for 1600 and 1100 engine speeds by limiting the amount of power (from 1 to 5 kW) provided as electrical assistance to the compressor, as shown in Figure 22.

Transient Analysis
The results in the steady-state simulations section demonstrated that a model fitted with a motor-generator and a turbine 10% smaller than the original could provide energy harvesting and thermal efficiency gain across the speed/load map of the engine.The transient behaviour of the model with this configuration, an original size compressor and increased pre-turbine pressures were tested by performing three different types of simulations.

Model with PID Controllers
The load step transient study was repeated five times for 1600 and 1100 engine speeds by limiting the amount of power (from 1 to 5 kW) provided as electrical assistance to the compressor, as

Transient Analysis
The results in the steady-state simulations section demonstrated that a model fitted with a motor-generator and a turbine 10% smaller than the original could provide energy harvesting and thermal efficiency gain across the speed/load map of the engine.The transient behaviour of the model with this configuration, an original size compressor and increased pre-turbine pressures were tested by performing three different types of simulations.

Model with PID Controllers
The load step transient study was repeated five times for 1600 and 1100 engine speeds by limiting the amount of power (from 1 to 5 kW) provided as electrical assistance to the compressor, as shown in Figure 22.It is clear that the maximum power limit set for the 1100 rpm case exceeds the model requirement, based on the current PID tuning, for achieving the fastest possible response.
The results in Figure 23 reveal that an electrical assistance of 1 kW can reduce the transient response time of the engine by 70% while higher levels of power can lead to a reduction of more than 85%.As shown in Figure 23a, power levels of more than 3 kW have almost a negligible effect on the response time of the engine.It is obvious by looking at Figure 23b that the improvement in response time is due to the rapid increase of the turbocharger's shaft speed.The fact that the initial shaft speed is higher, as a result of the smaller turbine, also contributes to a fast transient change.Moreover, Figure 23c shows that the electrical assistance provided to the turbocharger pushes the operation of the compressor towards the right side of the mass flow/pressure ratio map, which leads to a more efficient operation of the compressor.It is clear that the maximum power limit set for the 1100 rpm case exceeds the model requirement, based on the current PID tuning, for achieving the fastest possible response.
The results in Figure 23 reveal that an electrical assistance of 1 kW can reduce the transient response time of the engine by 70% while higher levels of power can lead to a reduction of more than 85%.As shown in Figure 23a, power levels of more than 3 kW have almost a negligible effect on the response time of the engine.It is obvious by looking at Figure 23b that the improvement in response time is due to the rapid increase of the turbocharger's shaft speed.The fact that the initial shaft speed is higher, as a result of the smaller turbine, also contributes to a fast transient change.Moreover, Figure 23c shows that the electrical assistance provided to the turbocharger pushes the operation of the compressor towards the right side of the mass flow/pressure ratio map, which leads to a more efficient operation of the compressor.It is clear that the maximum power limit set for the 1100 rpm case exceeds the model requirement, based on the current PID tuning, for achieving the fastest possible response.
The results in Figure 23 reveal that an electrical assistance of 1 kW can reduce the transient response time of the engine by 70% while higher levels of power can lead to a reduction of more than 85%.As shown in Figure 23a, power levels of more than 3 kW have almost a negligible effect on the response time of the engine.It is obvious by looking at Figure 23b that the improvement in response time is due to the rapid increase of the turbocharger's shaft speed.The fact that the initial shaft speed is higher, as a result of the smaller turbine, also contributes to a fast transient change.Moreover, Figure 23c shows that the electrical assistance provided to the turbocharger pushes the operation of the compressor towards the right side of the mass flow/pressure ratio map, which leads to a more efficient operation of the compressor.On the other hand, the transient improvement at very low engine speeds is of higher magnitude, as shown in Figure 24a,b.This happens due to the very low pre-turbine pressures occurring at 1100 rpm.Moreover, as illustrated in Figure 24c, the electrical assistance provided to the turbocharger pushes the operation of the compressor towards the surge line of the map.On the other hand, the transient improvement at very low engine speeds is of higher magnitude, as shown in Figure 24a,b.This happens due to the very low pre-turbine pressures occurring at 1100 rpm.Moreover, as illustrated in Figure 24c, the electrical assistance provided to the turbocharger pushes the operation of the compressor towards the surge line of the map.On the other hand, the transient improvement at very low engine speeds is of higher magnitude, as shown in Figure 24a,b.This happens due to the very low pre-turbine pressures occurring at 1100 rpm.Moreover, as illustrated in Figure 24c, the electrical assistance provided to the turbocharger pushes the operation of the compressor towards the surge line of the map.

Open-Loop Study (No PID Controllers)
The open-loop study was performed for investigating the hardware capabilities without any effects from the tuning of the PID controllers.Figure 25 reveals the importance of the initial level of power, as well as the average power provided to the compressor.Cases with the maximum amount of power provided during the first section benefit from the fastest response and highest BMEP levels.On the other hand, Figure 25b shows that the power distribution is equally important as the average power provided to the compressor for a fast transient response time.The open-loop study was performed for investigating the hardware capabilities without any effects from the tuning of the PID controllers.Figure 25 reveals the importance of the initial level of power, as well as the average power provided to the compressor.Cases with the maximum amount of power provided during the first section benefit from the fastest response and highest BMEP levels.On the other hand, Figure 25b shows that the power distribution is equally important as the average power provided to the compressor for a fast transient response time.

Fixed Gear Vehicle Speed Transient
The results in Figure 26 illustrate the required time for increasing the vehicle's speed from 1100 to 3000 rpm.As is expected, an aggressive tip-in leads to a fast vehicle speed transient.The preturbine pressure has almost a negligible effect on the required time.The comparison between the eturbo and the baseline engine for the 2-16 BMEP shows the improvement in transient response for the electrically-assisted model.On the other hand, the comparison for the 2-4 BMEP tip-in shows no difference at all due to operating at the non-boosted area of the engine.Figure 26b demonstrates the amount of energy provided or harvested by the motor during the transient period of interest.It is clear that during the first phase of the tip-in, the motor provides a high amount of power (limited to 5 kW) to the compressor for meeting the BMEP demands.Once the targeted boost pressure is achieved, the e-turbo starts harvesting energy for most of the cases.The overall average energy demand is negative (energy generation) for most of the cases, except the most aggressive one, as shown in Figure 26b, where the BMEP is increasing for the whole duration of the transient as presented in Figure 26c.The Brake-Specific Fuel Consumption (BSFC) of the engine is slightly deteriorated when higher pre-turbine pressures than the baseline model are applied, as shown in Figure 26d.

Fixed Gear Vehicle Speed Transient
The results in Figure 26 illustrate the required time for increasing the vehicle's speed from 1100 to 3000 rpm.As is expected, an aggressive tip-in leads to a fast vehicle speed transient.The pre-turbine pressure has almost a negligible effect on the required time.The comparison between the e-turbo and the baseline engine for the 2-16 BMEP shows the improvement in transient response for the electrically-assisted model.On the other hand, the comparison for the 2-4 BMEP tip-in shows no difference at all due to operating at the non-boosted area of the engine.Figure 26b demonstrates the amount of energy provided or harvested by the motor during the transient period of interest.It is clear that during the first phase of the tip-in, the motor provides a high amount of power (limited to 5 kW) to the compressor for meeting the BMEP demands.Once the targeted boost pressure is achieved, the e-turbo starts harvesting energy for most of the cases.The overall average energy demand is negative (energy generation) for most of the cases, except the most aggressive one, as shown in Figure 26b, where the BMEP is increasing for the whole duration of the transient as presented in Figure 26c.The Brake-Specific Fuel Consumption (BSFC) of the engine is slightly deteriorated when higher pre-turbine pressures than the baseline model are applied, as shown in Figure 26d.The open-loop study was performed for investigating the hardware capabilities without any effects from the tuning of the PID controllers.Figure 25 reveals the importance of the initial level of power, as well as the average power provided to the compressor.Cases with the maximum amount of power provided during the first section benefit from the fastest response and highest BMEP levels.On the other hand, Figure 25b shows that the power distribution is equally important as the average power provided to the compressor for a fast transient response time.

Fixed Gear Vehicle Speed Transient
The results in Figure 26 illustrate the required time for increasing the vehicle's speed from 1100 to 3000 rpm.As is expected, an aggressive tip-in leads to a fast vehicle speed transient.The preturbine pressure has almost a negligible effect on the required time.The comparison between the eturbo and the baseline engine for the 2-16 BMEP shows the improvement in transient response for the electrically-assisted model.On the other hand, the comparison for the 2-4 BMEP tip-in shows no difference at all due to operating at the non-boosted area of the engine.Figure 26b demonstrates the amount of energy provided or harvested by the motor during the transient period of interest.It is clear that during the first phase of the tip-in, the motor provides a high amount of power (limited to 5 kW) to the compressor for meeting the BMEP demands.Once the targeted boost pressure is achieved, the e-turbo starts harvesting energy for most of the cases.The overall average energy demand is negative (energy generation) for most of the cases, except the most aggressive one, as shown in Figure 26b, where the BMEP is increasing for the whole duration of the transient as presented in Figure 26c.The Brake-Specific Fuel Consumption (BSFC) of the engine is slightly deteriorated when higher pre-turbine pressures than the baseline model are applied, as shown in Figure 26d.

Energy Balance Study
The energy balance study was performed for the NEDC, WLTC, US06 cycles, as well as real driving conditions cycles shown in the Methodology Section.
Figure 27 reveals that all of the driving cycles tested provide a negative average power, which indicates energy harvesting.Energy is provided to the compressor during transient load and speed conditions.The motor-generator is almost inactive when running at low to medium load steady-state conditions.Finally, at extra-urban driving conditions, the generators can harvest a high amount of energy.The average amount of energy harvested is highly dependent on the driving behaviour.The combined driving conditions and the US06 cycle, which represents aggressive driving conditions, demonstrated the maximum amounts of energy gain (6.6 and 5.9 kWh, respectively).The NEDC and WLTC cycles that represent mild driving behaviour provided energy gains between 0.4 and 0.9 kW.The fuel consumption of the model in transient mode cannot be highly trusted, as it may be affected by the tuning of the different PID controllers used for the baseline and the electricallyassisted models, as shown in Figure 28.

Energy Balance Study
The energy balance study was performed for the NEDC, WLTC, US06 cycles, as well as real driving conditions cycles shown in the Methodology Section.
Figure 27 reveals that all of the driving cycles tested provide a negative average power, which indicates energy harvesting.Energy is provided to the compressor during transient load and speed conditions.The motor-generator is almost inactive when running at low to medium load steady-state conditions.Finally, at extra-urban driving conditions, the generators can harvest a high amount of energy.The average amount of energy harvested is highly dependent on the driving behaviour.The combined driving conditions and the US06 cycle, which represents aggressive driving conditions, demonstrated the maximum amounts of energy gain (6.6 and 5.9 kWh, respectively).The NEDC and WLTC cycles that represent mild driving behaviour provided energy gains between 0.4 and 0.9 kW.

Energy Balance Study
The energy balance study was performed for the NEDC, WLTC, US06 cycles, as well as real driving conditions cycles shown in the Methodology Section.
Figure 27 reveals that all of the driving cycles tested provide a negative average power, which indicates energy harvesting.Energy is provided to the compressor during transient load and speed conditions.The motor-generator is almost inactive when running at low to medium load steady-state conditions.Finally, at extra-urban driving conditions, the generators can harvest a high amount of energy.The average amount of energy harvested is highly dependent on the driving behaviour.The combined driving conditions and the US06 cycle, which represents aggressive driving conditions, demonstrated the maximum amounts of energy gain (6.6 and 5.9 kWh, respectively).The NEDC and WLTC cycles that represent mild driving behaviour provided energy gains between 0.4 and 0.9 kW.The fuel consumption of the model in transient mode cannot be highly trusted, as it may be affected by the tuning of the different PID controllers used for the baseline and the electricallyassisted models, as shown in Figure 28.The fuel consumption of the model in transient mode cannot be highly trusted, as it may be affected by the tuning of the different PID controllers used for the baseline and the electrically-assisted models, as shown in Figure 28.The obtained results for the transient cycles show that with the implementation of the e-turbocharger, the fuel economy of the engine is deteriorated by up to 1.8% (Table 7) due to the increased pre-turbine pressures.However, this fuel consumption increase is compensated by the generated power of the e-turbocharger.The combined driving cycle demonstrates the maximum net gain of 5.5 kWh, followed by the US06 cycle with 3.8 kWh.The WLTC is the only cycle that provides a marginally negative energy gain when considering the increased fuel consumption.

Conclusions
The present paper provides a detailed theoretical analysis on the potential of e-turbocharging to control load while providing energy recovery for increasing the overall system efficiency and if possible replacing wastegate boost control.The initial results show that at medium to high loads, significant amounts of enthalpy, up to 5 kW, are lost through the WG valve of a 2.0 L turbocharged spark-ignition engine at medium to high loads.A significant amount of this enthalpy loss can be recovered by the implementation of a motor-generator directly linked to the shaft of the turbocharger.
The study reveals that replacing the wastegate is only achievable when a 30% larger turbine is used for non-violating the pre-turbine pressure limit of the engine.However, a large turbine leads to very poor performance and energy provision needs at the low loads and speeds.A 10% smaller turbine when combined with increased pre-turbine pressures was found to provide efficiency gains and energy harvesting conditions across the whole area of the engine's load/speed map.However, this energy harvesting and efficiency gain come with a 5% penalty on the maximum power output of the engine.Increased power outputs are still achievable by reducing the pre-turbine pressure (opening the WG) and providing extra energy to the compressor.
The transient response time of the electrically-assisted engine showed an improvement between 70% and 90% depended on the engine speed and the power provided to the compressor (~1 to 5 kW).The obtained results for the transient cycles show that with the implementation of the e-turbocharger, the fuel economy of the engine is deteriorated by up to 1.8% (Table 7) due to the increased pre-turbine pressures.However, this fuel consumption increase is compensated by the generated power of the e-turbocharger.The combined driving cycle demonstrates the maximum net gain of 5.5 kWh, followed by the US06 cycle with 3.8 kWh.The WLTC is the only cycle that provides a marginally negative energy gain when considering the increased fuel consumption.

Conclusions
The present paper provides a detailed theoretical analysis on the potential of e-turbocharging to control load while providing energy recovery for increasing the overall system efficiency and if possible replacing wastegate boost control.The initial results show that at medium to high loads, significant amounts of enthalpy, up to 5 kW, are lost through the WG valve of a 2.0 L turbocharged spark-ignition engine at medium to high loads.A significant amount of this enthalpy loss can be recovered by the implementation of a motor-generator directly linked to the shaft of the turbocharger.
The study reveals that replacing the wastegate is only achievable when a 30% larger turbine is used for non-violating the pre-turbine pressure limit of the engine.However, a large turbine leads to very poor performance and energy provision needs at the low loads and speeds.A 10% smaller turbine when combined with increased pre-turbine pressures was found to provide efficiency gains and energy harvesting conditions across the whole area of the engine's load/speed map.However, this energy harvesting and efficiency gain come with a 5% penalty on the maximum power output of the engine.Increased power outputs are still achievable by reducing the pre-turbine pressure (opening the WG) and providing extra energy to the compressor.
The transient response time of the electrically-assisted engine showed an improvement between 70% and 90% depended on the engine speed and the power provided to the compressor (~1 to 5 kW).Testing the system under various driving cycles showed that the average amount of energy generated exceeds by up to 1 kW on average (6.6 kWh) the energy required by the motor during the transient events.The e-turbocharged engine demonstrated a fuel deterioration of up to 1.8% during the transient due to the increased pre-turbine pressures.However, this was compensated by the additional generated power.The maximum net energy gain of 5.5 kWh when considering the fuel consumption increase was for the combined driving cycle followed by the US06 cycle with a net gain of 3.8 kWh.
Finally, it needs to be mentioned again that none of the results presented in this study take into account any electrical losses, such as alternator, converter and battery losses, which will obviously reduce the net amount of harvested energy.Future work will include investigations on gasoline and multi-turbo systems with a comprehensive turbine/compressor matching and the electrification of VGT turbocharging systems.Finally, the simulation studies can be supported by experimental investigations with actual hardware testing and e-turbocharger emulation studies (using an externally-boosted engine transient facility located at the University of Bath) for a comprehensive in-cylinder combustion analysis.

Figure 1 .
Figure 1.Energy regeneration areas over the load/speed map of an engine: (a) current approach; (b) desired operation.

Figure 2 .
Figure 2. 1D model of the baseline 2.0 L turbocharged engine used in the present study.

Figure 1 .
Figure 1.Energy regeneration areas over the load/speed map of an engine: (a) current approach; (b) desired operation.

Figure 1 .
Figure 1.Energy regeneration areas over the load/speed map of an engine: (a) current approach; (b) desired operation.

Figure 2 .
Figure 2. 1D model of the baseline 2.0 L turbocharged engine used in the present study.Figure 2. 1D model of the baseline 2.0 L turbocharged engine used in the present study.

Figure 2 .
Figure 2. 1D model of the baseline 2.0 L turbocharged engine used in the present study.Figure 2. 1D model of the baseline 2.0 L turbocharged engine used in the present study.

Figure 3 .
Figure 3. Motor/generator component model used for converting the model to an e-turbo engine.

Figure 3 .
Figure 3. Motor/generator component model used for converting the model to an e-turbo engine.

Figure 6 .
Figure 6.Comparison between measurement and simulation results of transient performance for different boost targets with imposed turbocharger rotational speed.

Figure 6 .
Figure 6.Comparison between measurement and simulation results of transient performance for different boost targets with imposed turbocharger rotational speed.

Figure 6 .
Figure 6.Comparison between measurement and simulation results of transient performance for different boost targets with imposed turbocharger rotational speed.
Appl.Sci.2017, 7, 350 8 of 25 different types of studies.A detailed flowchart of all of the simulations performed in this paper is shown in Figure 7.

Figure 8 .
Figure 8. Area of investigation for the steady-state simulations.
Appl.Sci.2017, 7, 350 8 of 25 different types of studies.A detailed flowchart of all of the simulations performed in this paper is shown in Figure 7.

Figure 8 .
Figure 8. Area of investigation for the steady-state simulations.

Figure 8 .
Figure 8. Area of investigation for the steady-state simulations.

Figure 9 .
Figure 9. Schematic of total inertia applied to the engine.

Figure 9 .
Figure 9. Schematic of total inertia applied to the engine.

1 .
New European Driving Cycle (NEDC): designed to represent the typical usage of a car in Europe, but often criticized for delivering unrealistic economy figures.2. Worldwide harmonized Light vehicles Test Cycle (WLTC): a harmonized driving cycle representing realistic driving conditions data in different regions around the world, combined with suitable weighting factors.3. US06: representing aggressive, high-speed and/or high acceleration driving behaviour, rapid speed fluctuations and driving behaviour following startup.4. Combined driving conditions: including equal amounts of various realistic driving conditions, such as low speed, start-stop, highway, motorway, uphill, downhill and dangerous overtaking conditions.The engine speed and BMEP demands for the four driving cycles are shown in Figure 11.

1 .
New European Driving Cycle (NEDC): designed to represent the typical usage of a car in Europe, but often criticized for delivering unrealistic economy figures.2. Worldwide harmonized Light vehicles Test Cycle (WLTC): a harmonized driving cycle representing realistic driving conditions data in different regions around the world, combined with suitable weighting factors.3. US06: representing aggressive, high-speed and/or high acceleration driving behaviour, rapid speed fluctuations and driving behaviour following startup.4.

Figure 12 .
Figure 12.Phase 1: DoE analysis of the waste-gated enthalpy loss for the different compressor and turbine sizes; the blue line represents the maximum torque line of the baseline engine's model as provided by the manufacturer (λ < 1); the ○ symbols indicate data points; the ⨂ symbol indicates a limit violation at specific points.

Figure 12 .
Figure 12.Phase 1: DoE analysis of the waste-gated enthalpy loss for the different compressor and turbine sizes; the blue line represents the maximum torque line of the baseline engine's model as provided by the manufacturer (λ < 1); the symbols indicate data points; the symbol indicates a limit violation at specific points.

2 .
Phase 2: Suppressing WG and Using e-Turbo to Control Boosting

Figure 13 .
Figure 13.Engine's performance results for various turbines sizes and the wastegate completely shut: (a) pre-turbine pressure; (b) engine torque.

Figure 14 .
Figure 14.Phase 2: Motor-generator average energy for the case with original compressor, 30% larger turbine and the WG valve completely shut; negative values indicate energy harvesting; positive values indicate the need for energy provision; the blue line represents the maximum torque line of the baseline engine's model as provided by the manufacturer (λ < 1); the ⨂ symbol indicates limit

Figure 13 .
Figure 13.Engine's performance results for various turbines sizes and the wastegate completely shut: (a) pre-turbine pressure; (b) engine torque.

Figure 14 .
Figure 14.Phase 2: Motor-generator average energy for the case with original compressor, 30% larger turbine and the WG valve completely shut; negative values indicate energy harvesting; positive values indicate the need for energy provision; the blue line represents the maximum torque line of the baseline engine's model as provided by the manufacturer (λ < 1); the ⨂ symbol indicates limit violation; ⌼ indicates energy provision area.

Figure 14 .
Figure 14.Phase 2: Motor-generator average energy for the case with original compressor, 30% larger turbine and the WG valve completely shut; negative values indicate energy harvesting; positive values indicate the need for energy provision; the blue line represents the maximum torque line of the baseline engine's model as provided by the manufacturer (λ < 1); the symbol indicates limit violation;

Figure 14 .Figure 15 .
Figure 14.Phase 2: Motor-generator avera turbine and the WG valve completely s values indicate the need for energy provi the baseline engine's model as provided violation; ⌼ indicates energy provision arThe next stage in this phase was to in needs to be provided by changing the com (multipliers of 0.8 to 1.2) were tested, and

Figure 16 .
Figure 16.Balance study for different turbine sizes and wastegate areas for meeting the baseline engine's maximum torque.

Figure 16 .
Figure 16.Balance study for different turbine sizes and wastegate areas for meeting the baseline engine's maximum torque.

Figure 17 .Figure 17 .
Figure 17.Phase 3: DoE analysis of the motor-generator average energy for different turbine sizes and WG areas; negative values indicate energy harvesting; positive values indicate need for energy provision; blue line represents the maximum torque line of the baseline engine's model as provided by the manufacturer (λ < 1); ⨂ symbol indicates limit violation; ⌼ indicates energy provision area.Smaller Turbine: Increased Pre-Turbine Pressure Study The next study in phase 3 focuses on the effects of a smaller turbine with a reduced WG area compared to the baseline engine for benefiting from a good energy balance across the low and high load areas of the engine's speed/load map.For this study, the WG area is controlled indirectly by setting up a PID controller between the WG valve and the pre-turbine pressure.The targeted value Figure 17.Phase 3: DoE analysis of the motor-generator average energy for different turbine sizes and WG areas; negative values indicate energy harvesting; positive values indicate need for energy provision; blue line represents the maximum torque line of the baseline engine's model as provided by the manufacturer (λ < 1); symbol indicates limit violation;

Figure 13 .
Figure 13.Engine's performance results for various turbines sizes and the wastegate co (a) pre-turbine pressure; (b) engine torque.

Figure 14 .
Figure 14.Phase 2: Motor-generator average energy for the case with original compres turbine and the WG valve completely shut; negative values indicate energy harve values indicate the need for energy provision; the blue line represents the maximum the baseline engine's model as provided by the manufacturer (λ < 1); the ⨂ symbol violation; ⌼ indicates energy provision area.

Figure 18 .
Figure 18.Phase 3: DoE analysis of the motor-generator average energy for different turbine sizes and pre-turbine pressures; negative values indicate energy harvesting; positive values indicate the need for energy provision; the blue line represents the maximum torque line of the baseline engine's model as provided by the manufacturer (λ < 1); the ⨂ symbol indicates limit violation; ⌼ indicates energy provision area.Smaller Turbine: Variable Pre-Turbine Pressure Study

Figure 18 .
Figure 18.Phase 3: DoE analysis of the motor-generator average energy for different turbine sizes and pre-turbine pressures; negative values indicate energy harvesting; positive values indicate the need for energy provision; the blue line represents the maximum torque line of the baseline engine's model as provided by the manufacturer (λ < 1); the symbol indicates limit violation;

Figure 13 .
Figure 13.Engine's performance results for various turbines si (a) pre-turbine pressure; (b) engine torque.

Figure 14 .
Figure 14.Phase 2: Motor-generator average energy for the cas turbine and the WG valve completely shut; negative value values indicate the need for energy provision; the blue line r the baseline engine's model as provided by the manufacture violation; ⌼ indicates energy provision area.

Figure 19 .
Figure 19.Effect of pre-turbine pressure % change on: (a) engine's torque at full load; (b) M/G performance at full load; negative values indicate energy harvesting.

Figure 19 .
Figure 19.Effect of pre-turbine pressure % change on: (a) engine's torque at full load; (b) M/G performance at full load; negative values indicate energy harvesting.

Figure 20 .
Figure 20.Absolute difference in overall efficiency between four different e-turbo configurations and the baseline engine; negative values indicate efficiency loss; positive values indicate efficiency gain; the area in red circle indicates non-convergence of the model: (a) model with 30% larger turbine and WG completely shut; (b) model with 20% larger turbine and WG half opened compared to the baseline engine; (c) model with 10% smaller turbine and 5% increased pre-turbine pressure compared to the baseline engine; (d) model with 10% smaller turbine and 15% increased pre-turbine pressure compared to the baseline engine.

Figure 21 .
Figure 21.Ideal component sizing for maximum power and energy harvesting.

Figure 20 .
Figure 20.Absolute difference in overall efficiency between four different e-turbo configurations and the baseline engine; negative values indicate efficiency loss; positive values indicate efficiency gain; the area in red circle indicates non-convergence of the model: (a) model with 30% larger turbine and WG completely shut; (b) model with 20% larger turbine and WG half opened compared to the baseline engine; (c) model with 10% smaller turbine and 5% increased pre-turbine pressure compared to the baseline engine; (d) model with 10% smaller turbine and 15% increased pre-turbine pressure compared to the baseline engine.

Figure 20 .
Figure 20.Absolute difference in overall efficiency between four different e-turbo configurations and the baseline engine; negative values indicate efficiency loss; positive values indicate efficiency gain; the area in red circle indicates non-convergence of the model: (a) model with 30% larger turbine and WG completely shut; (b) model with 20% larger turbine and WG half opened compared to the baseline engine; (c) model with 10% smaller turbine and 5% increased pre-turbine pressure compared to the baseline engine; (d) model with 10% smaller turbine and 15% increased pre-turbine pressure compared to the baseline engine.

Figure 21 .
Figure 21.Ideal component sizing for maximum power and energy harvesting.

Figure 21 .
Figure 21.Ideal component sizing for maximum power and energy harvesting.

Figure 22 .
Figure 22.Limits and level of power provided to the compressor during tip-in transient: (a) 1600 rpm; (b) 1100 rpm.

Figure 22 .
Figure 22.Limits and level of power provided to the compressor during tip-in transient: (a) 1600 rpm; (b) 1100 rpm.

Figure 22 .
Figure 22.Limits and level of power provided to the compressor during tip-in transient: (a) 1600 rpm; (b) 1100 rpm.

Figure 24 .
Figure 24.Load tip-in results at 1100 rpm engine speed; the two peaks highlighted in the red circle are a result of the mass flow rate fluctuation when the throttle valve opens: (a) BMEP response time; (b) turbocharger speed response time; (c) compressor performance.

Figure 24 .
Figure 24.Load tip-in results at 1100 rpm engine speed; the two peaks highlighted in the red circle are a result of the mass flow rate fluctuation when the throttle valve opens: (a) BMEP response time; (b) turbocharger speed response time; (c) compressor performance.

Figure 24 .
Figure 24.Load tip-in results at 1100 rpm engine speed; the two peaks highlighted in the red circle are a result of the mass flow rate fluctuation when the throttle valve opens: (a) BMEP response time; (b) turbocharger speed response time; (c) compressor performance.
Study (No PID Controllers)

Figure 25 .
Figure 25.Open-loop load tip-in results at 1600 rpm engine speed: (a) BMEP vs. time; (b) average power vs. time to torque; colour and symbol categorization indicates the amount of power provided during the first section.

Figure 25 .
Figure 25.Open-loop load tip-in results at 1600 rpm engine speed: (a) BMEP vs. time; (b) average power vs. time to torque; colour and symbol categorization indicates the amount of power provided during the first section.

Figure 25 .
Figure 25.Open-loop load tip-in results at 1600 rpm engine speed: (a) BMEP vs. time; (b) average power vs. time to torque; colour and symbol categorization indicates the amount of power provided during the first section.

Figure 26 .
Figure 26.Fixed gear vehicle speed transient results; % values represent pre-turbine pressure increase compared to the baseline engine: (a) engine speed vs. time; (b) motor-generator power vs. engine speed; (c) BMEP vs. time; (d) Brake-Specific Fuel Consumption (BSFC) vs. engine speed.

Figure 27 .
Figure 27.Average power provided/harvested by the motor-generator; negative values indicate energy harvesting.

Figure 26 .
Figure 26.Fixed gear vehicle speed transient results; % values represent pre-turbine pressure increase compared to the baseline engine: (a) engine speed vs. time; (b) motor-generator power vs. engine speed; (c) BMEP vs. time; (d) Brake-Specific Fuel Consumption (BSFC) vs. engine speed.

Figure 26 .
Figure 26.Fixed gear vehicle speed transient results; % values represent pre-turbine pressure increase compared to the baseline engine: (a) engine speed vs. time; (b) motor-generator power vs. engine speed; (c) BMEP vs. time; (d) Brake-Specific Fuel Consumption (BSFC) vs. engine speed.

Figure 27 .
Figure 27.Average power provided/harvested by the motor-generator; negative values indicate energy harvesting.

Figure 27 .
Figure 27.Average power provided/harvested by the motor-generator; negative values indicate energy harvesting.

Figure 28 .
Figure 28.Fuel flow mass flow rate comparison between e-turbo and baseline model for the WLTC cycle; highlighted area indicates the disturbance of PID tuning on the accuracy of the results.

Figure 28 .
Figure 28.Fuel flow mass flow rate comparison between e-turbo and baseline model for the WLTC cycle; highlighted area indicates the disturbance of PID tuning on the accuracy of the results.

Table 1 .
Maximum limits set for the parametric studies.

Table 1 .
Maximum limits set for the parametric studies.

Table 2 .
Measured data and simulation results at full loads.IMEP, indicated mean effective pressure.

Table 2 .
Measured data and simulation results at full loads.IMEP, indicated mean effective pressure.

Table 3 .
Summary of combustion model validation at 2000 rpm.

Table 3 .
Summary of combustion model validation at 2000 rpm.

Table 3 .
Summary of combustion model validation at 2000 rpm.

Table 4 .
Phase 1: Design of Experiment (DoE) analysis for different compressor and turbine sizes.

Table 5 .
Control of basic process parameters for the model with proportional-integral-derivative (PID) controllers and the open-loop model.BMEP, brake mean effective pressure; M/G, motor/generator.

Table 6 .
Phase 3: DoE analysis for different turbine sizes and WG areas.

Table 6 .
Phase 3: DoE analysis for different turbine sizes and WG areas.

Table 7 .
Fuel consumption difference between baseline and e-turbo models for various cycles; energy gain = average power values − heat loss (Q) due to increased fuel consumption, Q (kJ) = Calorific value of fuel (CV) (kJ/kg) × fuel (kg), CV of gasoline = 47,300 kJ/kg; * considering the increased fuel consumption.

Table 7 .
Fuel consumption difference between baseline and e-turbo models for various cycles; energy gain = average power values − heat loss (Q) due to increased fuel consumption, Q (kJ) = Calorific value of fuel (CV) (kJ/kg) × fuel (kg), CV of gasoline = 47,300 kJ/kg; * considering the increased fuel consumption.