An Evaluation of Turbocharging and Supercharging Options for High-Efficiency Fuel Cell Electric Vehicles

Mass-produced, off-the-shelf automotive air compressors cannot be directly used for boosting a fuel cell vehicle (FCV) application in the same way that they are used in internal combustion engines, since the requirements are different. These include a high pressure ratio, a low mass flow rate, a high efficiency requirement, and a compact size. From the established fuel cell types, the most promising for application in passenger cars or light commercial vehicle applications is the proton exchange membrane fuel cell (PEMFC), operating at around 80 ◦C. In this case, an electric-assisted turbocharger (E-turbocharger) and electric supercharger (single or two-stage) are more suitable than screw and scroll compressors. In order to determine which type of these boosting options is the most suitable for FCV application and assess their individual merits, a co-simulation of FCV powertrains between GT-SUITE and MATLAB/SIMULINK is realised to compare vehicle performance on the Worldwide Harmonised Light Vehicle Test Procedure (WLTP) driving cycle. The results showed that the vehicle equipped with an E-turbocharger had higher performance than the vehicle equipped with a two-stage compressor in the aspects of electric system efficiency (+1.6%) and driving range (+3.7%); however, for the same maximal output power, the vehicle’s stack was 12.5% heavier and larger. Then, due to the existence of the turbine, the E-turbocharger led to higher performance than the single-stage compressor for the same stack size. The solid oxide fuel cell is also promising for transportation application, especially for a use as range extender. The results show that a 24-kWh electric vehicle can increase its driving range by 252% due to a 5 kW solid oxide fuel cell (SOFC) stack and a gas turbine recovery system. The WLTP driving range depends on the charge cycle, but with a pure hydrogen tank of 6.2 kg, the vehicle can reach more than 600 km.


Introduction
The Intergovernmental Panel on Climate Change (IPCC) study from 2014 showed that 14% of global greenhouse gas emissions are due to transportation [1]. Since 65% of greenhouse gas emissions are related to CO 2 , it has become crucial to decrease their global warming impact. Taking well-to-wheel emissions into consideration, electric vehicles reach 180 g CO 2 eq/km (because of a global 68% electricity production still coming from oil, gas, and coal) whereas fuel cell vehicles (FCVs) reach 127 g CO 2 eq/km [2,3]. Even if current regulations only take into account tank-to-wheel emissions, which are null for both of these types of vehicle, some car manufacturers such as Toyota (Mirai), Honda (Clarity Fuel Cell), or Daimler Group (GLC F-cell) are investing in fuel cell technology to power density challenges. For instance, the Hyundai Tucson Fuel Cell edition is 300 kg heavier than the gasoline version for the same output power. To decrease the weight of the fuel cell vehicle means less fuel consumption, and thus a higher driving range.
There is a large potential for increasing the power density by using a boosting system for the air supply. A higher pressure of air means a higher output power and efficiency. As seen in Figure 1, a recent paper from Honda underlined that increasing the pressure ratio from 1.0 to 1.7 provided 10% more output power [4]. As a consequence, it is possible to reduce the number of cells and thus the weight of the fuel cell stack for the same output power. Given that the requirements differ from those of an internal combustion engine (ICE), the choice of compressor type must be adapted to fuel cell vehicle application.
In order to determine which type of compressor to use, a literary survey was conducted to identify which types of fuel cell are relevant to transportation application. This was followed by the development of fuel cell vehicle powertrain models, employing co-simulation between GT-SUITE and MATLAB/SIMULINK. Finally, simulations have included driving cycle simulations to analyse the impact of the air supply system on vehicle performances.

Proton Exchange Membrane Fuel Cell (PEMFC) Model
A polarisation curve model has been used to model the operation of a monocell pure hydrogen PEMFC with MATLAB/SIMULINK. The model, which was proposed by Pukrushpan [5], and was used in the MATLAB/SIMULINK environment, is described by the following equations:

Proton Exchange Membrane Fuel Cell (PEMFC) Model
A polarisation curve model has been used to model the operation of a monocell pure hydrogen PEMFC with MATLAB/SIMULINK. The model, which was proposed by Pukrushpan [5], and was used in the MATLAB/SIMULINK environment, is described by the following equations: E nerst = 1.229 − 0.85 * 10 −3 (T − 298.15) + RT 2F log P H2 * P 0.5
The total output power of the N-cells' stack is calculated as: The electrochemical reaction is considered as stoichiometric. The system is supposed to run with an excess of air. The current is calculated from the hydrogen mass flow rate, and the excess of air is included in the calculation of oxygen partial pressure. As a result, the PO2 and PH2 from previous equations are calculated by taking the average between the inlet and outlet stack pressure as follows: P H2 = 0.5 * P H,in * 1 + Dm H,out Dm H,in (11) where Dm O,in and Dm H,in are the inlet mass flow rates, and Dm O,out and Dm H,out are the outlet mass flow rates of oxygen and hydrogen, respectively. P A,in and P H,in are the inlet pressures of air and hydrogen. As seen in Figure 2, the MATLAB/SIMULINK model runs as a black box in the GT-SUITE environment. The "PEMFCs_model" refers to the MATLAB function using the model described. The inputs are the inlet mass flow rates (Dm A,in , Dm H,in ), the inlet pressures (P A,in , P H,in ), and the required power by the air supply system (P comp ). The outputs include the outlet mass flow rates ((Dm A,out , Dm H,out ), the outlet air pressure (P A,out ), the output produced power, the current, and the electric efficiencies (P, I, R eff , R eff,system ). There are different ways of calculating the electric efficiency. In this paper, it is the electric stack efficiency and the electric system efficiency that are considered and calculated as follows [4,7,8]: where N is the number of cells, and 1.481 is the theoretical voltage at the terminals of a hydrogen fuel cell. As seen in Figure 3, the GT-SUITE model takes into consideration the air consumed through the stack. Dm_eject is the part of air consumed during the electrochemical reaction. It is used to model the decrease of air mass flow rate through the stack due to the oxygen consumption. Coeff_pressure, which is calculated with an equation from GT-SUITE, is used to take into consideration the pressure loss through the stack due to oxygen consumption. The GT-SUITE equation is a simplified model of pressure loss. So, a gain has been added to consider the compressible character of the air.
where N is the number of cells, and 1.481 is the theoretical voltage at the terminals of a hydrogen fuel cell. As seen in Figure 3, the GT-SUITE model takes into consideration the air consumed through the stack. Dm_eject is the part of air consumed during the electrochemical reaction. It is used to model the decrease of air mass flow rate through the stack due to the oxygen consumption. Coeff_pressure, which is calculated with an equation from GT-SUITE, is used to take into consideration the pressure loss through the stack due to oxygen consumption. The GT-SUITE equation is a simplified model of pressure loss. So, a gain has been added to consider the compressible character of the air.
The potential advantages of a hybrid system are given as follows in Han et al [9], Jeong [10] and Rodatz et al [11] reducing the cost and weight of the global system; overcoming the relatively slow fuel cell system transient response; improving the hydrogen economy; and reducing the warm-up time of the fuel cell system to reach full power. Another significant advantage is the reduction of the physical constraints applied on the fuel cell, leading to an increase of the fuel cell stack system durability. Also, the degradation mechanism is still being investigated; it is possible to assure that the degradation of Pt catalysts is higher with high cell voltages Feroldi et al [12].

Solid Oxide Fuel Cell (SOFC) Model
A polarisation curve model has been also used to model the operation of a monocell pure hydrogen solid oxide fuel cell (SOFC) with MATLAB/SIMULINK. The model used has been presented in a recent paper written by Zhu et al [13]. This model takes into consideration the physical parameters of the cell such as diffusion coefficient and electrode thicknesse. It includes the Nerst potential, ohmic, activation, and mass transport losses, which are calculated as follows: The potential advantages of a hybrid system are given as follows in Han et al. [9], Jeong [10] and Rodatz et al. [11] reducing the cost and weight of the global system; overcoming the relatively slow fuel cell system transient response; improving the hydrogen economy; and reducing the warm-up time of the fuel cell system to reach full power. Another significant advantage is the reduction of the physical constraints applied on the fuel cell, leading to an increase of the fuel cell stack system durability. Also, the degradation mechanism is still being investigated; it is possible to assure that the degradation of Pt catalysts is higher with high cell voltages Feroldi et al. [12].

Solid Oxide Fuel Cell (SOFC) Model
A polarisation curve model has been also used to model the operation of a monocell pure hydrogen solid oxide fuel cell (SOFC) with MATLAB/SIMULINK. The model used has been presented in a recent paper written by Zhu et al. [13]. This model takes into consideration the physical parameters of the cell such as diffusion coefficient and electrode thicknesse. It includes the Nerst potential, ohmic, activation, and mass transport losses, which are calculated as follows: where i_(0,cathode) and i_(0,cathode) are the limiting current densities at the cathode and the anode, respectively. The mass transport losses are given by: where P H,in , P W,in and P O,in are the stack inlet pressures of hydrogen, water, and oxygen, respectively. P H2 , P water and P O2 are the hydrogen, water, and oxygen pressures on the electrode's surface. They are given by the following equations: where l a(1) and l a (2) are the anode support and the anode functional layer thicknesses, respectively. O 2 −N 2 are respectively the effective binary diffusivities through the cathode current collector and the cathode functional layer. The ohmic losses are still given by Equation (8).
As seen in Figure 4, the MATLAB/SIMULINK model reiterated the principles of black box testing that were seen in the proton exchange membrane fuel cell (PEMFC) model. The efficiency R_eff was still the electric efficiency of the stack, whereas the efficiency R eff,GT was the thermodynamic efficiency of the system {burner + gas turbine + heat exchanger}, which was calculated as follows: R eff, GT = P generator + P heat Dm A,in * C p * (T burner,out − T burner,in ) (20) where C p is the inlet burner air's calorific capacity. T burner,out and T burner,in are the outlet and inlet burner temperatures, respectively, P generator is the electric power produced by the motor generator, and P heat is the power transferred to the stack inlet air through the heat exchanger. Many papers have referred to "system efficiency". It must be noticed that R eff,GT is a thermodynamic efficiency, whereas R eff is not. Nevertheless, it is possible to use a formulation as the ratio of the useful power and the theoretical maximum power. As a result, system efficiency can be formulated as follows: R eff,system = P + P generator + P heat (1.481 * N * I) + Dm A,in * C p * (T burner,out − T burner,in ) (21) As seen in Figure 5, the GT-SUITE model of the hybrid system {SOFC + gas turbine} was similar to the PEMFC stack model. It must be noticed that this model included three proportional-integral-derivative (PID) controllers. The first one controlled the output power by taking into consideration the output power of the SOFC stack and the recovered power through the turbine. The second PID controlled the injection of the fuel into the burner. It adjusted the hydrogen mass flow rate to reach the targeted temperature. In an actual SOFC system, the hydrogen is not injected; rather, it is collected at the stack's output [14]. Nevertheless, this model assumed a total consumption of the hydrogen at inlet. So, in order to consider the global consumption of hydrogen, an injector equipped with a controller was used. A classical burner output temperature for an SOFC stack using such a system is 1200 • C [14]. Finally, the target of 1130 • C was enough for the stack's inlet temperature to reach more than 530 • C. The heat exchanger was based on the GT-SUITE example of a charge air cooler. Concerning PID 3, it controlled the pressure loss through the stack.

Compressor and Turbine Scaling Method
Air compressors must be adapted to the fuel cell application at hand and the requirements vary significantly compared to equivalent internal combustion engine systems. The compressors that were Input parameters Output parameters Figure 5. GT-SUITE model of the 5 kW SOFCs stack.

Compressor and Turbine Scaling Method
Air compressors must be adapted to the fuel cell application at hand and the requirements vary significantly compared to equivalent internal combustion engine systems. The compressors that were used in this study were derived from an Aeristech electric supercharger, which is able to reach a pressure ratio of 2.8 [15]. The experimental data that were used were adapted to this configuration by applying a reliable scaling method to adapt the compressor and the turbine to the size of the stack and the requirement of air mass flow [16][17][18].

Drive Cycle Simulation
Each PEMFC and SOFC powertrain has been optimised for the given required power. The optimisation included the adjustment of the backpressure, the hydrogen mass flow, the compressor speed, and the turbine geometry. The use of interpolation blocks of the optimised parameters enables proceeding to simulations of the Worldwide Harmonised Light Vehicle Test Procedure (WLTP) driving cycle. As seen in Figure 6, this 23.3-km driving cycle includes realistic urban and extra-urban driving conditions with credible acceleration and deceleration times.
Each PEMFC and SOFC powertrain has been optimised for the given required power. The optimisation included the adjustment of the backpressure, the hydrogen mass flow, the compressor speed, and the turbine geometry. The use of interpolation blocks of the optimised parameters enables proceeding to simulations of the Worldwide Harmonised Light Vehicle Test Procedure (WLTP) driving cycle. As seen in Figure 6, this 23.3-km driving cycle includes realistic urban and extra-urban driving conditions with credible acceleration and deceleration times.

Types of Fuel Cells
Fuel cells can be classified according to the type of electrolyte that they employ. It determines the type of catalysis necessary, the operating temperature, and reactions into the cell such as steam reforming. Finally, fuel cells are classified as a function of the temperature at which the stack operates [19,20].
As seen in Table 1, a high operating temperature fuel cell does not require expensive catalysis such as platinum, and allows steam reforming (internal transformation of light fuels into hydrogen). The major issue with this type of cell is that quick starts are not allowed, which makes application to transportation impractical. To solve this problem, electrical resistances can be used, but this is a huge waste of energy. For instance, 4 Wh are necessary for a 200-W SOFCs stack to warm up from 20 °C to 700 °C in five minutes [21].
]. Nissan managed to build the first SOFC vehicle in 2016, using a 5 kW stack as an extender for the 24-kWh battery [22].
Low operating temperature fuel cells allow quick start, but they do not allow steam reforming, which limits the usable fuel type. Due to the high power density, low operating temperature condition, lower environmental impact than Phosphoric Acid Fuel Cell (PAFCs), and non-sensitivity to the CO2 present in the air, the PEMFC is the most suitable fuel cell type for a transportation application. This includes personal and mass transit vehicles. As an example, Toyota sells the Sora, which is a fuel cell bus using two 114 kW PEMFC stacks of the same type as found on the Toyota Mirai fuel cell passenger car [23].

Types of Fuel Cells
Fuel cells can be classified according to the type of electrolyte that they employ. It determines the type of catalysis necessary, the operating temperature, and reactions into the cell such as steam reforming. Finally, fuel cells are classified as a function of the temperature at which the stack operates [19,20].
As seen in Table 1, a high operating temperature fuel cell does not require expensive catalysis such as platinum, and allows steam reforming (internal transformation of light fuels into hydrogen). The major issue with this type of cell is that quick starts are not allowed, which makes application to transportation impractical. To solve this problem, electrical resistances can be used, but this is a huge waste of energy. For instance, 4 Wh are necessary for a 200-W SOFCs stack to warm up from 20 • C to 700 • C in five minutes [21]. Nissan managed to build the first SOFC vehicle in 2016, using a 5 kW stack as an extender for the 24-kWh battery [22].
Low operating temperature fuel cells allow quick start, but they do not allow steam reforming, which limits the usable fuel type. Due to the high power density, low operating temperature condition, lower environmental impact than Phosphoric Acid Fuel Cell (PAFCs), and non-sensitivity to the CO 2 present in the air, the PEMFC is the most suitable fuel cell type for a transportation application. This includes personal and mass transit vehicles. As an example, Toyota sells the Sora, which is a fuel cell bus using two 114 kW PEMFC stacks of the same type as found on the Toyota Mirai fuel cell passenger car [23].
When PEMFCs are supplied with ethanol or methanol, the chemical reaction releases CO 2 as follows [24]: Finally, pure hydrogen PEMFCs are more suitable than direct ethanol or methanol PEMFCs to comply with standards regarding CO 2 emissions, since the chemical reaction only releases water as follows: The high operating temperature of a SOFC allows the internal reforming of light fuels into hydrogen, but it produces CO 2 . In the case of pure hydrogen as fuel, even if the chemical reactions at the cathode and the anode are different than the PEMFC's ones, the global reaction is the same as that of Equation (23). Nevertheless, the compactness of a SOFC stack is far lower than that of a PEMFC. For instance, the SteelCell ® , developed by CeresPower to extend the driving range of an electric vehicle, reaches 500 W/L, which is six times less than the new Toyota Mirai's stack [25,26]. The 1 kW CeresPower stack weight is 9.3 kg (107 W/kg) [27] which means that, for the same output power, a SOFC stack is almost 19 times heavier than the PEMFC one, which reaches 2 kW/kg. As a result, SOFC technology seems to be only relevant for use as a range extender.

Boosting Options for PEMFCs
Similarly to Internal Combustion Engines (ICEs) using boosting systems (air compressors (superchargers) or turbochargers) to increase their power density and efficiency, a boosting system can be used with a fuel cell stack to increase its performance. However, the requirements are not the same. Firstly, an air compressor for fuel cells needs a high pressure with a low air mass flow rate. Secondly, because of the battery, the stack, the control power unit, and the hydrogen storage tanks, the size of the boosting system needs to be considered in a transportation application. In most ICE applications, a turbocharger is used to recover the energy from high-temperature exhaust gas. Even if an expander is used, the operating temperature of the PEMFC (80 • C) is too low to recover enough power to drive the compressor. It implies that the air supply system uses power from the stack. As a consequence, a high efficiency is an important requirement.
As seen in Table 2, centrifugal and Roots compressors are the most suitable for fuel cell application [28][29][30][31][32]. They are smaller and cheaper than screw and scroll compressors, and help to reduce the weight and the cost of PEMFCs vehicle, which is already increased by the use of platinum.
Daimler, General Motor, and SAIC as an example use centrifugal compressors, as part of their electric-assisted turbochargers (E-turbochargers) [28]. The Honda FCX Clarity uses a screw compressor, but the new Honda Clarity fuel cell is now equipped with a two-stage centrifugal compressor, which has a 50% smaller sound absorber than the FCX screw compressor [4]. Toyota remains the only FCV manufacturer to use a Roots compressor. This type of compressor has a lower efficiency and pressure ratio, but higher power density than the centrifugal compressor. However, the pulsation noise implies the use of a bigger sound absorber. As a result, FCV manufacturers have adopted centrifugal compressors as the most suitable compressor type for fuel cell applications.
Two-stage compressors and E-turbochargers are currently used for FCV applications. The Honda Clarity fuel cell two-stage compressor reaches a 4:1 pressure ratio [4]. An estimated pressure ratio value of 2.8:1 is given by a recent paper for an E-turbocharger [33]. Figure A1 in the Appendices provides an illustration of this two-stage system. This paper also proposed a mixed architecture with a two-stage compressor and a turbine generator to reduce the energy consumption of the boosting system.

Boosting Options for SOFCs
The most promising boosting option for SOFC application is a compressor coupled to a E-turbocharger in order to recover the wasted energy [10,34,35].
Many different architectures can be considered to build a hybrid system between a SOFC stack and an E-turbocharger. As seen in Figure 7, the SOFC stack can be placed before the turbine [36]. As a result, the air pressure into the stack is higher than the ambient pressure. This type of architecture is called a pressurised cycle. Some systems, which are called atmospheric cycles, place the stack after the turbine [37], forcing the SOFC stack to operate at ambient pressure. The atmospheric cycle is simpler and more reliable than the pressurised one. However, given that the efficiency of the SOFC increases with pressure, it is expected to achieve less electric efficiency than the pressurised configuration. Plus, the latter is also cheaper, since it needs fewer components [38]. As a result, the choice of the architecture depends on the application requirements. For a high electric efficiency system, the pressurised cycle must be chosen, whereas the atmospheric cycle may be used for its reliability.

Type of Compressors
a result, the air pressure into the stack is higher than the ambient pressure. This type of architecture is called a pressurised cycle. Some systems, which are called atmospheric cycles, place the stack after the turbine [37], forcing the SOFC stack to operate at ambient pressure. The atmospheric cycle is simpler and more reliable than the pressurised one. However, given that the efficiency of the SOFC increases with pressure, it is expected to achieve less electric efficiency than the pressurised configuration. Plus, the latter is also cheaper, since it needs fewer components [38]. As a result, the choice of the architecture depends on the application requirements. For a high electric efficiency system, the pressurised cycle must be chosen, whereas the atmospheric cycle may be used for its reliability.

PEMFC Powertrain Simulation
To compare air supply systems, two different PEMFC stacks have been considered. Both have a 350 cm² active area and reach a 78 kW maximum output power. The first one is a 360-cell stack Centrifugal a result, the air pressure into the stack is higher than the ambient pressure. This type of architecture is called a pressurised cycle. Some systems, which are called atmospheric cycles, place the stack after the turbine [37], forcing the SOFC stack to operate at ambient pressure. The atmospheric cycle is simpler and more reliable than the pressurised one. However, given that the efficiency of the SOFC increases with pressure, it is expected to achieve less electric efficiency than the pressurised configuration. Plus, the latter is also cheaper, since it needs fewer components [38]. As a result, the choice of the architecture depends on the application requirements. For a high electric efficiency system, the pressurised cycle must be chosen, whereas the atmospheric cycle may be used for its reliability.

PEMFC Powertrain Simulation
To compare air supply systems, two different PEMFC stacks have been considered. Both have a 350 cm² active area and reach a 78 kW maximum output power. The first one is a 360-cell stack Roots a result, the air pressure into the stack is higher than the ambient pressure. This type of architecture is called a pressurised cycle. Some systems, which are called atmospheric cycles, place the stack after the turbine [37], forcing the SOFC stack to operate at ambient pressure. The atmospheric cycle is simpler and more reliable than the pressurised one. However, given that the efficiency of the SOFC increases with pressure, it is expected to achieve less electric efficiency than the pressurised configuration. Plus, the latter is also cheaper, since it needs fewer components [38]. As a result, the choice of the architecture depends on the application requirements. For a high electric efficiency system, the pressurised cycle must be chosen, whereas the atmospheric cycle may be used for its reliability.

PEMFC Powertrain Simulation
To compare air supply systems, two different PEMFC stacks have been considered. Both have a 350 cm² active area and reach a 78 kW maximum output power. The first one is a 360-cell stack Screw a result, the air pressure into the stack is higher than the ambient pressure. This type of architecture is called a pressurised cycle. Some systems, which are called atmospheric cycles, place the stack after the turbine [37], forcing the SOFC stack to operate at ambient pressure. The atmospheric cycle is simpler and more reliable than the pressurised one. However, given that the efficiency of the SOFC increases with pressure, it is expected to achieve less electric efficiency than the pressurised configuration. Plus, the latter is also cheaper, since it needs fewer components [38]. As a result, the choice of the architecture depends on the application requirements. For a high electric efficiency system, the pressurised cycle must be chosen, whereas the atmospheric cycle may be used for its reliability.

PEMFC Powertrain Simulation
To compare air supply systems, two different PEMFC stacks have been considered. Both have a 350 cm² active area and reach a 78 kW maximum output power. The first one is a 360-cell stack Many different architectures can be considered to build a hybrid system between a SOFC stack and an E-turbocharger . As seen in Figure 7, the SOFC stack can be placed before the turbine [36]. As a result, the air pressure into the stack is higher than the ambient pressure. This type of architecture is called a pressurised cycle. Some systems, which are called atmospheric cycles, place the stack after the turbine [37], forcing the SOFC stack to operate at ambient pressure. The atmospheric cycle is simpler and more reliable than the pressurised one. However, given that the efficiency of the SOFC increases with pressure, it is expected to achieve less electric efficiency than the pressurised configuration. Plus, the latter is also cheaper, since it needs fewer components [38]. As a result, the choice of the architecture depends on the application requirements. For a high electric efficiency system, the pressurised cycle must be chosen, whereas the atmospheric cycle may be used for its reliability.

PEMFC Powertrain Simulation
To compare air supply systems, two different PEMFC stacks have been considered. Both have a 350 cm² active area and reach a 78 kW maximum output power. The first one is a 360-cell stack

PEMFC Powertrain Simulation
To compare air supply systems, two different PEMFC stacks have been considered. Both have a 350 cm 2 active area and reach a 78 kW maximum output power. The first one is a 360-cell stack equipped with either an E-turbocharger or a single-stage compressor. The second one is a 315-cell stack equipped with a two-stage compressor. As a result, vehicles equipped with the 315-cell stack weigh 1850 kg, whereas the 360-cell stack vehicles have a five-kg excess weight [39].
The stack provides the entire power to propel the car and drive the air supply system. In each case, the air supply system has been optimised to reach the highest system electric efficiency, and thus it has the highest driving range with a 5.6-kg hydrogen storage tank [40]. Both stacks operate with a constant 3 bar pressure for the hydrogen supply system and operate at 80 • C. The overall model layout of the FCV is provided in Figure A3 in the appendices.
The same compressor has been used for configurations 1 and 2. Only the performance map has been adapted for each configuration. The map is provided in the appendices ( Figure A2). The single-stage compressor uses a backpressure, whereas the E-turbocharger has a turbine at the stack outlet. As seen in Table 3, the E-turbocharger system reaches a higher system electric efficiency average, and thus a 3.5% higher driving range. Due to the turbine, the average power that is required to drive the compressor in the E-turbocharger is 46% lower than the required average power for the single-stage compressor. During the maximum acceleration phase, the turbine recovers 2.4 kW, and thus required a relative power difference of 20%. By reducing the number of cells, the mass transfer losses increase, since it is harder for reactants to reach the catalysis area. As seen in Figure 8, the stack electric efficiency decreases. The two-stage compressor has been designed to reach 4.0 bar. During the WLTP driving cycle, the two-stage compressor average pressure is 4.9% higher than the E-turbocharger one, which could have compensated for the increase of mass transfer losses. However, the average power required for the two-stage compressor is 43% higher than the power required for the E-turbocharger. This leads to a 1.6% absolute change in the lower system electric efficiency average, and a 3.5% lower driving range than the E-turbocharger configuration.
Appl. Sci. 2018, 8, x 12 of 21 equipped with either an E-turbocharger or a single-stage compressor. The second one is a 315-cell stack equipped with a two-stage compressor. As a result, vehicles equipped with the 315-cell stack weigh 1850 kg, whereas the 360-cell stack vehicles have a five-kg excess weight [39].
The stack provides the entire power to propel the car and drive the air supply system. In each case, the air supply system has been optimised to reach the highest system electric efficiency, and thus it has the highest driving range with a 5.6-kg hydrogen storage tank [40]. Both stacks operate with a constant 3 bar pressure for the hydrogen supply system and operate at 80 °C. The overall model layout of the FCV is provided in Figure A3 in the appendices.
The same compressor has been used for configurations 1 and 2. Only the performance map has been adapted for each configuration. The map is provided in the appendices ( Figure A2). The singlestage compressor uses a backpressure, whereas the E-turbocharger has a turbine at the stack outlet. As seen in Table 3, the E-turbocharger system reaches a higher system electric efficiency average, and thus a 3.5% higher driving range. Due to the turbine, the average power that is required to drive the compressor in the E-turbocharger is 46% lower than the required average power for the single-stage compressor. During the maximum acceleration phase, the turbine recovers 2.4 kW, and thus required a relative power difference of 20%. By reducing the number of cells, the mass transfer losses increase, since it is harder for reactants to reach the catalysis area. As seen in Figure 8, the stack electric efficiency decreases. The two-stage compressor has been designed to reach 4.0 bar. During the WLTP driving cycle, the two-stage compressor average pressure is 4.9% higher than the E-turbocharger one, which could have compensated for the increase of mass transfer losses. However, the average power required for the two-stage compressor is 43% higher than the power required for the E-turbocharger. This leads to a 1.6% absolute change in the lower system electric efficiency average, and a 3.5% lower driving range than the E-turbocharger configuration. As seen in Figure 9, the model used for the PEMFC underestimated the output power when the operating pressure was between 1.0-1.7 bar, with an overestimation above this value. However, the results of the comparison between the different air supply systems were valid, even if the influence of the operating pressure was underestimated or overestimated.
The single-stage compressor map outcome is provided in the appendices, in Figures A4 and A5.
Appl. Sci. 2018, 8, x 13 of 21 As seen in Figure 9, the model used for the PEMFC underestimated the output power when the operating pressure was between 1.0-1.7 bar, with an overestimation above this value. However, the results of the comparison between the different air supply systems were valid, even if the influence of the operating pressure was underestimated or overestimated.
The single-stage compressor map outcome is provided in the appendices, in figures A4 and A5. Figure 9. Comparison between Honda's data and the model's data of the operating pressure influence on the output power.

SOFC Powertrain Simulation
The purpose of this part was to study an electric vehicle using the SOFC technology as a range extender, based on the Nissan e-NV200 van equipped with a 5 kW SOFC stack.
The SOFC model was a 5 kW stack using pure hydrogen as fuel. The internal ohmic resistance in the polarisation curve model has been adapted to match the power density of a metal-supported SOFC operating at 550 °C that was found in the literature. Since the stack reached only 5 kW, the required air mass flow rate was very low. As a result, the compressor that was used in this model was derived from the Aeristech electric supercharger by reducing the compressor and the turbine wheels diameters. The motor-generator model was based on a literature review of a high-speed motor generator for a microturbine [41] [42]. The electric version of the Nissan EV-200N weighed 1685 kg [38], while the vehicle used for the simulations weighed 1740 kg.
Concerning the fuel cell system, when it operated at 5 kW, the system efficiency R_(eff,system) reached 67%. The SOFCs stack provided 4.6 kW, and the generator produced 0.4 kW. As seen in Figure 10, the inlet air mass flow was 15.7 g·s −1 under 1.48 bar. The total hydrogen mass flow rate was 0.159 g·s −1 , of which 39% was used in the SOFC stack under 3 bar, and 61% was released into the burner to increase the turbine inlet temperature to 1130 °C.
Simulations were conducted through the WLTP driving cycle (described by Figure 6) for an increase in the initial state of charge (SOC) from 10% to 90%. The driving calculation was based on the Nissan SOFC vehicle specifications: the ethanol tank capacity is 30 litres [38]. With a density of 0.789, the ethanol was transformed into 6.2 kg of hydrogen.
The first power management strategy tried to find a compromise between hydrogen consumption and driving range. When the operating SOC was between 0-60%, the range extender output power was 3 kW in order to maximise the driving range. From 60% to 80%, the output power was 3 kW; then, the range extender was turned off above 90% to reduce the hydrogen consumption.
As seen in Figure 11, a vehicle equipped with the range extender, a hydrogen tank capacity of 6.2 kg, and an initial SOC of 100%, reached 590 km. This was 236% higher than the pure electric vehicle (driving range for an initial SOC of 100%: 178 km). It must be noticed that when the power management strategy was n°1, 551 km was driven before the hydrogen tank emptied. Model's data Figure 9. Comparison between Honda's data and the model's data of the operating pressure influence on the output power.

SOFC Powertrain Simulation
The purpose of this part was to study an electric vehicle using the SOFC technology as a range extender, based on the Nissan e-NV200 van equipped with a 5 kW SOFC stack.
The SOFC model was a 5 kW stack using pure hydrogen as fuel. The internal ohmic resistance in the polarisation curve model has been adapted to match the power density of a metal-supported SOFC operating at 550 • C that was found in the literature. Since the stack reached only 5 kW, the required air mass flow rate was very low. As a result, the compressor that was used in this model was derived from the Aeristech electric supercharger by reducing the compressor and the turbine wheels diameters. The motor-generator model was based on a literature review of a high-speed motor generator for a microturbine [41,42]. The electric version of the Nissan EV-200N weighed 1685 kg [38], while the vehicle used for the simulations weighed 1740 kg.
Concerning the fuel cell system, when it operated at 5 kW, the system efficiency R_(eff,system) reached 67%. The SOFCs stack provided 4.6 kW, and the generator produced 0.4 kW. As seen in Figure 10, the inlet air mass flow was 15.7 g·s −1 under 1.48 bar. The total hydrogen mass flow rate was 0.159 g·s −1 , of which 39% was used in the SOFC stack under 3 bar, and 61% was released into the burner to increase the turbine inlet temperature to 1130 • C.
Simulations were conducted through the WLTP driving cycle (described by Figure 6) for an increase in the initial state of charge (SOC) from 10% to 90%. The driving calculation was based on the Nissan SOFC vehicle specifications: the ethanol tank capacity is 30 litres [38]. With a density of 0.789, the ethanol was transformed into 6.2 kg of hydrogen.
The first power management strategy tried to find a compromise between hydrogen consumption and driving range. When the operating SOC was between 0-60%, the range extender output power was 3 kW in order to maximise the driving range. From 60% to 80%, the output power was 3 kW; then, the range extender was turned off above 90% to reduce the hydrogen consumption.
As seen in Figure 11, a vehicle equipped with the range extender, a hydrogen tank capacity of 6.2 kg, and an initial SOC of 100%, reached 590 km. This was 236% higher than the pure electric vehicle (driving range for an initial SOC of 100%: 178 km). It must be noticed that when the power management strategy was n • 1, 551 km was driven before the hydrogen tank emptied.  With half of the hydrogen tank's capacity and an initial SOC of 100%, the driving range reached 379 km, which was 113% higher than the pure electric vehicle driving range.
It was possible to increase the driving range per tank of hydrogen by recharging the vehicle when the SOC was under 60%. With five charge cycles from 60% to 100% every 156 km, the vehicle reached 759 km with only one full tank of hydrogen.
Then, it was also possible to increase the driving range with only one charge cycle by using the maximum output power of the range extender all of the time. Previously, the power unit control reduced the power of the range extender from 5 kW to 3 kW when the SOC exceeded the limit of 60% in order to reduce the hydrogen consumption. By keeping the output power at 5 kW enabled the reduction of ΔSOC per kilometre. As a result, the driving range was increased by 6.1% compared to the original power management strategy, to reach 626 km. Nevertheless, the driving range per tank of hydrogen decreased by 9.1%, to reach 501 km.
According to a Nissan report [43], the driving range of their solid oxide fuel cell vehicle using a 5 kW range extender was 600 km. So, the previous simulations results matched with the Nissan vehicle's specification well.  With half of the hydrogen tank's capacity and an initial SOC of 100%, the driving range reached 379 km, which was 113% higher than the pure electric vehicle driving range.
It was possible to increase the driving range per tank of hydrogen by recharging the vehicle when the SOC was under 60%. With five charge cycles from 60% to 100% every 156 km, the vehicle reached 759 km with only one full tank of hydrogen.
Then, it was also possible to increase the driving range with only one charge cycle by using the maximum output power of the range extender all of the time. Previously, the power unit control reduced the power of the range extender from 5 kW to 3 kW when the SOC exceeded the limit of 60% in order to reduce the hydrogen consumption. By keeping the output power at 5 kW enabled the reduction of ΔSOC per kilometre. As a result, the driving range was increased by 6.1% compared to the original power management strategy, to reach 626 km. Nevertheless, the driving range per tank of hydrogen decreased by 9.1%, to reach 501 km.
According to a Nissan report [43], the driving range of their solid oxide fuel cell vehicle using a 5 kW range extender was 600 km. So, the previous simulations results matched with the Nissan vehicle's specification well. With half of the hydrogen tank's capacity and an initial SOC of 100%, the driving range reached 379 km, which was 113% higher than the pure electric vehicle driving range.
It was possible to increase the driving range per tank of hydrogen by recharging the vehicle when the SOC was under 60%. With five charge cycles from 60% to 100% every 156 km, the vehicle reached 759 km with only one full tank of hydrogen.
Then, it was also possible to increase the driving range with only one charge cycle by using the maximum output power of the range extender all of the time. Previously, the power unit control reduced the power of the range extender from 5 kW to 3 kW when the SOC exceeded the limit of 60% in order to reduce the hydrogen consumption. By keeping the output power at 5 kW enabled the reduction of ∆SOC per kilometre. As a result, the driving range was increased by 6.1% compared to the original power management strategy, to reach 626 km. Nevertheless, the driving range per tank of hydrogen decreased by 9.1%, to reach 501 km.
According to a Nissan report [43], the driving range of their solid oxide fuel cell vehicle using a 5 kW range extender was 600 km. So, the previous simulations results matched with the Nissan vehicle's specification well.
Since the driving range depends on the initial SOC and amount of hydrogen, two strategies can be used: optimising the driving range of the vehicle per tank of fuel (strategy n • 1) or per charge cycle (strategy n • 2). In addition, this also depends on the frequency at which the battery is charged. There is also an aspect of electric vehicles that cannot be ignored: to conserve the battery as long as possible, the best range of usable SOC is 40% to 70%. During the first discharge cycle from 70% to 40%, the first strategy of power management led to a driving range of 327 km. As a result, 37% of the usable hydrogen remained. During the second discharge cycle from 70% to 40%, the driving range was 211 km (of which 193 km were achieved with the range extender mode). This led to a global driving range of 538 km after two charge cycles from 40% to 70%.

Conclusions
The literature review and the co-simulations between MATLAB/SIMULINK and GT-SUITE underlined that two types of fuel cells are really promising for transportation application: the PEMFC and the SOFC.
The first one is a fuel cell operating at 80 • C, which allows a fast and simple start-up. Nevertheless, in this operating condition, the compressor must be powered by the stack, which decreased the useful power transmitted to the wheels. The use of a turbine, coupled with the compressor, reduced the power that the air supply system required by 45.8%, on average. As a result, the driving range of the vehicle increased by 3.5% and reached 706 km with an average electric efficiency of 32.1%. This was 11.5% better than the single-stage configuration's electric efficiency. However, to deal with the compactness of the PEMFC stack, the two-stage compressor emerged as a real asset. By increasing the maximum pressure ratio from 2.8 bar to 4.0 bar, it decreased the number of cells that were necessary to reach the same output power by 12.5%. Unfortunately, this downsising operation had an impact on voltage losses. Finally, the two-stage compressor reached a similar driving range to the single-stage configuration. It can be interesting to compare these results with a roots compressor, such as the one used by Toyota for their FCVs.
The second one is a fuel cell operating between 550-1000 • C. The low power density (about 9.3 kg·kW −1 ) and the impossibility of a quick start-up make the use of this technology as a pure propulsion system irrelevant at the moment. Nevertheless, the high operating temperature allows combining a SOFC stack and a gas turbine together into a hybrid system. The use of this technology as a range extender for an electric vehicle is truly promising. It allows extending the driving range by 252%. The driving range, with an initial SOC of 100% and a 6.2-kg tank full of pure hydrogen, reached more than 600 kilometres. It must be noticed that this result depended on the power management strategy. With an optimisation of the driving range per charge cycle, the vehicle reached 626 kilometres. A different strategy can also be used to optimise the driving range per tank of hydrogen. In this case, it reached 759 km due to five charge cycles from 60% to 100%.
The use of PEMFC and SOFC technologies are fundamentally different. The first is used as a propulsion system, whereas the second is used as a range extender. The development and the optimisation of the latter is more complex in term of power management. Plus, the driving range really depends on the driver's behaviour on the road and the frequency at which the battery is charged. In 2015, the kWh European average price was 0.205 € [44]. In 2017, the kilogram of hydrogen price was 15 € in an Air Liquide station [45]. As a result, the first strategy of power management described in the previous paragraph leads to a price of 0.166€ per kilometre for a SOFC/electric hybrid vehicle, whereas the optimised driving range per tank of hydrogen leads to 0.135 € per kilometre. For a PEMFC vehicle using an E-turbocharger, the price per kilometre is 0.119 €. This difference is partially due to the consumed hydrogen into the burner to warm the inlet air through the heat exchanger. As a result, it could be interesting to evaluate the performances of a vehicle using a PEMFC stack as a range extender instead of a SOFC one. This result matches with most of the fuel cell vehicles using the PEMFC technology, which is simpler and cheaper to use. However, this result must be nuanced, since the production of hydrogen is not as developed as power generation, which explains the high price of the fuel.
Author Contributions: A.K. was the student who carried out the modelling effort at Brunel University London and his work was checked by A.M., also a research student at Brunel, who also drafted the paper. A.P., is the turbomachinery group leader in the Centre of Advanced Powertrains and Fuels (CAPF) at Brunel University London, who conceived of the project, the layout of the investigations and checked the computational outcome of the resultant modelling effort and subsequent discussion. In this he was assisted by D.C., who was A.K.'s supervisor at his home institution of Ecole Centrale de Nantes.
Funding: This research received no external funding. Internal combustion engine i Current density i 0,anode Anode limiting current density i 0,cathode Cathode limiting current density i L Limiting current density l a (1) Anode support thickness l a (2) Anode functional layer thickness l c (1) Cathode current collector thickness l c (2) Cathode

E-turbocharger
To model this type of air supply system, a conventional turbocharger coupled with an additional input shaft power control module (to replicate the electric motor) was used as seen in Figure A2. The turbine was a Variable Nozzle Geometry (VNT) type.

E-turbocharger
To model this type of air supply system, a conventional turbocharger coupled with an additional input shaft power control module (to replicate the electric motor) was used as seen in Figure A2. The turbine was a Variable Nozzle Geometry (VNT) type.