An Investigation of Opportunity Charging with Hybrid Energy Storage System on Electric Bus with Two-Speed Transmission

: As one of the most popular and important forms of massive transit, the public bus con-tributes to a healthier environment compared to private vehicles. Through the electriﬁcation of the public bus, energy consumption, carbon emission, and air pollution can be signiﬁcantly reduced. However, the limited driving range and high battery replacement cost put signiﬁcant barriers to its large-scale commercialization. Thanks to the development of wireless charging technology and opportunity charging strategy, the driving range can be improved. However, the battery has to suffer additional impulse current generated by opportunity wireless charging. In this paper, a hybrid energy storage system (HESS) that combines battery and supercapacitor and related energy control strategy is proposed to smoothen the impulse current and extend the battery lifespan. A comprehensive investigation of the combined impacts of the opportunity charging and HESS is carried out in terms of driving range extension and battery lifespan improvement. The detailed HESS model and powertrain model are built. A global optimizing method, dynamic programming, is adopted as the energy management strategy under the Chinese heavy-duty commercial vehicle test cycle-bus (CHTC-B). A battery degradation model is employed to evaluate its health with 60 kW wireless charging. The results demonstrate that the proposed energy control strategy for HESS could improve battery health and extend bus driving range concurrently via opportunity charging.


Introduction
The transportation sector is one of the major contributors to greenhouse emissions (GHE) and air pollution. It accounts for 29% of total GHG emissions in the USA [1] and 45% of the particulate matter pollution in Beijing [2]. Since the diesel engine-powered public bus is the major contributor to transportation pollutant emissions, including SO 2 , SO 3 , PM2.5, NOX, CO, VOC, etc. [3] Replacing conventional diesel buses with new energy vehicles, such as electric buses, would reduce the local GHE significantly at a reasonable cost [4]. As a consequence, many cities in China, e.g., Beijing, Shen Zhen, and Hang Zhou have announced their plan to use electric buses to replace internal combustion buses. Since public buses generally have a higher usage hour compared to private cars, batteries in electrified public buses require a larger capacity and are charged more frequently. However, the performance of electrochemical batteries decays with increasing charging cycles [5]. Furthermore, frequent start-stop of running cycles with considerable vehicle mass require relative high-power discharging/charging currents, which leads to a faster decay rate [6]. Compared to the electrochemical battery, the supercapacitor (SC) shows higher power density with far fewer sensitivities to charging cycles and time regarding capacity degradation, though its low energy density blocks the possibility to be the sole energy storage system in electric vehicles (EVs).
Hence, combining battery and SC into a hybrid energy storage system (HESS) will both benefit from the high-energy density of the battery and the high power density& (1) The combination of the HESS and WPT and the two-speed transmission system is investigated. The collaboration between the systems is analyzed in detail; (2) A power flow control strategy is proposed, where the battery health protection and range extension are considered; (3) As a practical bus powertrain model and driving cycle are employed, the analysis result would be a good reference for industry application. Therefore, in this paper, the combined implementation of opportunity WPT and HESS for EVs has been investigated in terms of battery health improvement and driving range extension. First, an electric bus powertrain model is built and China heavy-duty commercial vehicle test cycle-bus (CHTC-B) is employed for the analysis. Then, the driving range extension by opportunity charging is demonstrated and verified in CHTC-B. Next, the battery health improvement is evaluated through a Lithium-ion battery decay model. Finally, conclusions are summarized with a comprehensive analysis of the findings in this study.

Wireless Charging System for Electric Bus
The public buses generally travel on regular routes and stop at fixed spots where the opportunity charging could be implemented and buses could pick up power from it. To supplement energy to a vehicle within a limited stop time, the power rating of the opportunity charging is supposed to be high.
SIEMENS developed a top-down pantograph-based opportunity charging system for electric buses with three power ratings: 150, 300, and 450 kW [18]. With the mechanical pantograph, the EVs could be recharged at the stop where these charging facilities are available, however, there are conductors in the open air with high voltage, which may lead to possible safety issues.
Wireless charging offers an alternative way for EV opportunity charging. It uses a highfrequency electromagnetic field to transfer power across the air gap. The electromagnetic field could be established within a millisecond, therefore, power transfer could be started and stopped without affecting the running of the bus.

Wireless Charging System
The general structure of the wireless charging system is shown in Figure 1.
(2) A power flow control strategy is proposed, where the battery health protection and range extension are considered; (3) As a practical bus powertrain model and driving cycle are employed, the analysis result would be a good reference for industry application.
Therefore, in this paper, the combined implementation of opportunity WPT and HESS for EVs has been investigated in terms of battery health improvement and driving range extension. First, an electric bus powertrain model is built and China heavy-duty commercial vehicle test cycle-bus (CHTC-B) is employed for the analysis. Then, the driving range extension by opportunity charging is demonstrated and verified in CHTC-B. Next, the battery health improvement is evaluated through a Lithium-ion battery decay model. Finally, conclusions are summarized with a comprehensive analysis of the findings in this study.

Wireless Charging System for Electric Bus
The public buses generally travel on regular routes and stop at fixed spots where the opportunity charging could be implemented and buses could pick up power from it. To supplement energy to a vehicle within a limited stop time, the power rating of the opportunity charging is supposed to be high.
SIEMENS developed a top-down pantograph-based opportunity charging system for electric buses with three power ratings: 150, 300, and 450 kW [18]. With the mechanical pantograph, the EVs could be recharged at the stop where these charging facilities are available, however, there are conductors in the open air with high voltage, which may lead to possible safety issues.
Wireless charging offers an alternative way for EV opportunity charging. It uses a high-frequency electromagnetic field to transfer power across the air gap. The electromagnetic field could be established within a millisecond, therefore, power transfer could be started and stopped without affecting the running of the bus.

Wireless Charging System
The general structure of the wireless charging system is shown in Figure 1. The AC power from the grid is rectified into DC and then inverted into high-frequency (HF) current for the coupler. The power is transferred across the air gap from the primary side of the coupler to the secondary side through the electromagnetic field. To enhance the power transfer capacity, compensation circuits are added for both the primary and secondary sides of the coupler. The received high-frequency power is rectified into DC to recharge the onboard batteries. The AC power from the grid is rectified into DC and then inverted into high-frequency (HF) current for the coupler. The power is transferred across the air gap from the primary side of the coupler to the secondary side through the electromagnetic field. To enhance the power transfer capacity, compensation circuits are added for both the primary and secondary sides of the coupler. The received high-frequency power is rectified into DC to recharge the onboard batteries.

Hybrid Energy Storage Electric Bus
The most widely used energy storage for vehicular applications is electrochemical batteries, such as lithium-ion and nickel-metal hydride. Both of them offer a high energy density, but a poor power density and relatively short lifespan compared to other major components such as SC. For the duty cycle with frequent acceleration and braking, the battery cannot absorb full regenerative braking power. Therefore, the power from braking regeneration cannot be fully used and overall energy efficiency would be affected. The opportunity charging generally is active after the vehicle deceleration during which the braking regeneration is employed. The high-power charging would also aggravate the degradation of the battery. SC has a higher power density and a longer lifecycle. SC can absorb regenerative and opportunity charging power, however, due to the limitation in energy density, the SC energy storage system does not satisfy the energy consumption required for continuous running without quick charging. For an energy system of the same size, the HESS which combines battery and SC has higher energy and peak power, while it can balance the needs of energy and power.
There are several types of HESS topologies, such as passive topology, semi-active topology, and active topology, as shown in Figure 2. The passive topology could not utilize the SOC of SC as it is directly connected to the DC bus without a converter. As the voltage of SC is limited by battery voltage, the variation of SC's SOC is limited.

Hybrid Energy Storage Electric Bus
The most widely used energy storage for vehicular applications is electrochemical batteries, such as lithium-ion and nickel-metal hydride. Both of them offer a high energy density, but a poor power density and relatively short lifespan compared to other major components such as SC. For the duty cycle with frequent acceleration and braking, the battery cannot absorb full regenerative braking power. Therefore, the power from braking regeneration cannot be fully used and overall energy efficiency would be affected. The opportunity charging generally is active after the vehicle deceleration during which the braking regeneration is employed. The high-power charging would also aggravate the degradation of the battery. SC has a higher power density and a longer lifecycle. SC can absorb regenerative and opportunity charging power, however, due to the limitation in energy density, the SC energy storage system does not satisfy the energy consumption required for continuous running without quick charging. For an energy system of the same size, the HESS which combines battery and SC has higher energy and peak power, while it can balance the needs of energy and power.
There are several types of HESS topologies, such as passive topology, semi-active topology, and active topology, as shown in Figure 2. The passive topology could not utilize the SOC of SC as it is directly connected to the DC bus without a converter. As the voltage of SC is limited by battery voltage, the variation of SC's SOC is limited. An active HESS control strategy is employed in this paper as shown in Figure 3. The active topology has a bidirectional DC/DC converter for both battery and SC. The regenerated power could be distributed between the battery and SC. The power output of the WPT is connected with the DC bus of the active HESS, therefore, the power could be distributed between the battery and SC by controlling the bidirectional converters.  An active HESS control strategy is employed in this paper as shown in Figure 3. The active topology has a bidirectional DC/DC converter for both battery and SC. The regenerated power could be distributed between the battery and SC. The power output of the WPT is connected with the DC bus of the active HESS, therefore, the power could be distributed between the battery and SC by controlling the bidirectional converters.

Hybrid Energy Storage Electric Bus
The most widely used energy storage for vehicular applications is electrochemical batteries, such as lithium-ion and nickel-metal hydride. Both of them offer a high energy density, but a poor power density and relatively short lifespan compared to other major components such as SC. For the duty cycle with frequent acceleration and braking, the battery cannot absorb full regenerative braking power. Therefore, the power from braking regeneration cannot be fully used and overall energy efficiency would be affected. The opportunity charging generally is active after the vehicle deceleration during which the braking regeneration is employed. The high-power charging would also aggravate the degradation of the battery. SC has a higher power density and a longer lifecycle. SC can absorb regenerative and opportunity charging power, however, due to the limitation in energy density, the SC energy storage system does not satisfy the energy consumption required for continuous running without quick charging. For an energy system of the same size, the HESS which combines battery and SC has higher energy and peak power, while it can balance the needs of energy and power.
There are several types of HESS topologies, such as passive topology, semi-active topology, and active topology, as shown in Figure 2. The passive topology could not utilize the SOC of SC as it is directly connected to the DC bus without a converter. As the voltage of SC is limited by battery voltage, the variation of SC's SOC is limited. An active HESS control strategy is employed in this paper as shown in Figure 3. The active topology has a bidirectional DC/DC converter for both battery and SC. The regenerated power could be distributed between the battery and SC. The power output of the WPT is connected with the DC bus of the active HESS, therefore, the power could be distributed between the battery and SC by controlling the bidirectional converters.

Multi-Speed Transmission
Single-speed transmission, i.e., speed reducer, is popular and dominant in the EV market. In contrast, the alternative multi-speed transmissions attract great attention as they can significantly boost the motor operating efficiency, ultimately, improving overall powertrain efficiency [19]. There are plural studies on structures, control methods, and shifting strategies for EV-based multi-speed transmission [20][21][22][23]. For example, an automatic transmission (AT) was customized by involving two brakes to balance shifting quality, vehicle dynamics, and fuel economy for BEVs [24]. To compare the performance of a multi-speed EV powertrain with different gear numbers, the 4-speed transmission was proposed and optimized to investigate the overall system efficiency [25]. As the ultimate solution in terms of increasing gear number to improve motor efficiency, half toroidal Variable Transmissions (CVTs) and electrified full toroidal CVTs were specially designed for EV [26,27]. Regarding the control strategy of the proposed multi-speed transmission for EV, various optimal gear-shifting control strategies were proposed to improve the performance of conventional transmission on EV [23,28,29]. Most of the mentioned multi-speed transmission systems still rely on a hydraulic system, which is an auxiliary system and benefits from the constant pressure generated by the drive engine. However, the hydraulic system turns into a burden to the motor since the motor runs from time to time when necessary, which leads to the requirement of an additional pump to generate constant pressure.
In this paper, an electrified two-speed automatic manual transmission is proposed considering the cost, control complexity, driving experience, and application background. Furthermore, a hybrid energy storage system with the opportunity for wireless charging is implemented in a benchmarking electric bus to replace the conventional battery & cable charging system. A comprehensive investigation of the proposed powertrain will be carried out in the following sections, followed by a conclusion at last.

The Powertrain Model
A market-ready battery-electric public bus is selected as the benchmark with specifications in Table 1. The battery energy storage system is replaced by a hybrid energy storage system that combines battery and SC. The China heavy-duty commercial vehicle test cycle-bus (CHTC-B) is employed in this study [30]. This driving cycle is specially designed for heavy-duty public buses which weigh over 3500 kg and operate in metropolitan areas. This cycle comprises two-speed zones, i.e., a low-speed zone accounting for 30.5% and a high-speed zone accounting for 69.5% of the total time, which together make up a 5.49 km cycle range. The driving cycle is shown in Figure 4. The CHTC-B is slightly modified to form six stops, i.e.,199-215 s, 357-399 s, 589-604 s, 823-838 s, 1020-1038 s,1279-1319 s, which can be used for opportunity charging. The EV is propelled by a permanent magnet synchronous motor, which has 2800 Nm peak torque and 3000 RPM maximum rotational speed. The efficiency map of the adopted motor is shown in Figure 5. The CHTC-B is slightly modified to form six stops, i.e.,199-215 s, 357-399 s, 589-604 s, 823-838 s, 1020-1038 s,1279-1319 s, which can be used for opportunity charging. The EV is propelled by a permanent magnet synchronous motor, which has 2800 Nm peak torque and 3000 RPM maximum rotational speed. The efficiency map of the adopted motor is shown in Figure 5.  The CHTC-B is slightly modified to form six stops, i.e.,199-215 s, 357-399 s, 589-604 s, 823-838 s, 1020-1038 s,1279-1319 s, which can be used for opportunity charging. The EV is propelled by a permanent magnet synchronous motor, which has 2800 Nm peak torque and 3000 RPM maximum rotational speed. The efficiency map of the adopted motor is shown in Figure 5.

Battery Degradation Model
Both opportunity wireless charging and regeneration braking could generate ads impulse current and damage the energy storage system. By adopting HESS, battery State of Charge (SoC) can be stabilized, and ultimately, the battery life span can be extended. To evaluate the performance of HESS in improving battery degradation, a semi-empirical battery degradation model [31] is applied in the model, which is based on the Arrhenius degradation model and determined by four parameters: where Qloss represents the capacity loss of battery, A stands for pre-exponential factor, the air constant 8.314 J/mol/K −1 is represented by R in this equation, Tbat is the absolute temperature (K), CRate stands for the discharging rate of the battery, the activation energy, 78.06 (J), is represented by Ea, Ah is the Ah-throughput, z is a time factor, and B is a compensation factor for CRate.

Battery Degradation Model
Both opportunity wireless charging and regeneration braking could generate ads impulse current and damage the energy storage system. By adopting HESS, battery State of Charge (SoC) can be stabilized, and ultimately, the battery life span can be extended. To evaluate the performance of HESS in improving battery degradation, a semi-empirical battery degradation model [31] is applied in the model, which is based on the Arrhenius degradation model and determined by four parameters: where Q loss represents the capacity loss of battery, A stands for pre-exponential factor, the air constant 8.314 J/mol/K −1 is represented by R in this equation, T bat is the absolute temperature (K), C Rate stands for the discharging rate of the battery, the activation energy, 78.06 (J), is represented by E a , Ah is the Ah-throughput, z is a time factor, and B is a compensation factor for C Rate . In this study, this capacity fade model of the LiFePO 4 battery is adopted to investigate the battery dynamic degradation based on cumulative damage theory. The equation of the dynamic degradation discrete model can be expressed as: where Q loss,p+1 and Q loss,p are the accumulated battery capacity loss at t (p + 1) and tp, ∆Ah stands for the A h-throughput from tp to t (p + 1), which can be expressed as: Then, through experimental verification, the above function is simplified [32] and the parameters were calibrated as shown in This section may be divided into subheadings. It should provide a concise and precise description of the experimental results, their interpretation, as well as the experimental conclusions that can be drawn.

The Energy Management Strategy of the Hybrid Energy Storage System with Opportunity Wireless Charging
To evaluate the most beneficial potential of HESS on opportunity wireless charging based EV in terms of battery health improvement, a global optimizing method, Dynamic Programming (DP), is adopted for CHTC-B.
Although the requirement of routing information in advance excludes the possibility of practical use, the DP-based results present the most potential to support other practical battery degradation reduction methods, which can be used in online applications, e.g., Rule-Based, via using SC more efficiently. Given that battery voltage variation is normally less than 1 V, it is taken as constant during the whole cycle to simplify the calculation with satisfying precision. In each time period k, the accumulated SC power P SC,total can be derived by [32]: The capacity loss of battery at any time period k is expressed by the following cost function: Sample time T S is set to 1 s to relieve the computational burden, and J bat,loss (k) stands for the system cost, which can be derived through Equations (4)- (7), which presents the capacity loss from k − 1 to k. The initial voltage of SC, represented as V SC,initial , is set to 0.9V SC,max in all DP processes. Figure 6 schematically presents the process of searching for the optimal solution by DP for above process from T 0 to T 3 . The topology of the energy management strategy is shown in Figure 7. During the brake regeneration and WPT stage, electric power goes to the HESS system. The power flows to the SC and then the battery. During the bus acceleration or running stage, the energy from SC is used first, followed by that from the battery.

Two-Speed Automatic Transmission
Considering the enormous load, driving comfort requirement, and manufacturing cost, a motor-assisted electrified two-speed automated manual transmission (AMT), as shown in Figure 8, is proposed in this paper. The synchronizer is controlled by a motor, rather than a conventional hydraulic system, to realize the shift between 1st (left) and 2nd gear (right). Since an electrified powertrain does not need to keep constant pressure to maintain the hydraulic system running, unlike an internal combustion engine, the exclusion of a hydraulic system in an EV will effectively boost the overall powertrain efficiency.

Two-Speed Automatic Transmission
Considering the enormous load, driving comfort requirement, and manufacturing cost, a motor-assisted electrified two-speed automated manual transmission (AMT), as shown in Figure 8, is proposed in this paper. The synchronizer is controlled by a motor, rather than a conventional hydraulic system, to realize the shift between 1st (left) and 2nd gear (right). Since an electrified powertrain does not need to keep constant pressure to maintain the hydraulic system running, unlike an internal combustion engine, the exclusion of a hydraulic system in an EV will effectively boost the overall powertrain efficiency.    Figure 7. Schematic topology of energy management strategy.

Two-Speed Automatic Transmission
Considering the enormous load, driving comfort requirement, and manufacturing cost, a motor-assisted electrified two-speed automated manual transmission (AMT), as shown in Figure 8, is proposed in this paper. The synchronizer is controlled by a motor, rather than a conventional hydraulic system, to realize the shift between 1st (left) and 2nd gear (right). Since an electrified powertrain does not need to keep constant pressure to maintain the hydraulic system running, unlike an internal combustion engine, the exclusion of a hydraulic system in an EV will effectively boost the overall powertrain efficiency.

Results Analysis The Performance of Multi-Speed Transmission in Terms of Powertrain Efficiency
The extra gear keeps the motor from extreme working conditions and low-efficiency zones and increases the possibility of working in high-efficiency zone for the motor. As shown in Figure 9, the blue circle mark stands for the motor operating tracks of a singlespeed transmission-based powertrain while the red star marks represent the motor tracks with 2-speed AMT over the motor efficiency map.

The Performance of Multi-Speed Transmission in Terms of Powertrain Efficiency
The extra gear keeps the motor from extreme working conditions and low-efficiency zones and increases the possibility of working in high-efficiency zone for the motor. As shown in Figure 9, the blue circle mark stands for the motor operating tracks of a singlespeed transmission-based powertrain while the red star marks represent the motor tracks with 2-speed AMT over the motor efficiency map. Compared to the single-speed one, the 2-speed AMT assisted motor tracks to avoid the low-efficiency & high-speed zone and work closer to the high-efficiency area. The lifespan of the motor also benefits from the relatively low working speed. An average 7% improvement is recorded in CHTC-B through the adoption of 2-speed AMT. The performance of HESS and the opportunity for wireless charging It has been known that SC can work as a 'buffer' to reduce the negative effect of 'impulse' current on battery health, nevertheless, wireless charging provides a similar function to a hybrid energy storage system in terms of keeping the battery from large-current charging/discharging. Compared to fast cable charging, opportunity wireless charging transfers the same amount of energy from the grid to the vehicle in a longer period with a relatively low current. However, compared to directly charging the battery transferring energy to SC first, then, SC to the battery is a better option in terms of battery health. Based on the battery degradation model in Section 2.1, the improvement of battery capacity loss Compared to the single-speed one, the 2-speed AMT assisted motor tracks to avoid the low-efficiency & high-speed zone and work closer to the high-efficiency area. The lifespan of the motor also benefits from the relatively low working speed. An average 7% improvement is recorded in CHTC-B through the adoption of 2-speed AMT. The performance of HESS and the opportunity for wireless charging It has been known that SC can work as a 'buffer' to reduce the negative effect of 'impulse' current on battery health, nevertheless, wireless charging provides a similar function to a hybrid energy storage system in terms of keeping the battery from largecurrent charging/discharging. Compared to fast cable charging, opportunity wireless charging transfers the same amount of energy from the grid to the vehicle in a longer period with a relatively low current. However, compared to directly charging the battery transferring energy to SC first, then, SC to the battery is a better option in terms of battery health. Based on the battery degradation model in Section 2.1, the improvement of battery capacity loss per CHTC-B cycle is shown in Figure 10.
lifespan of the motor also benefits from the relatively low working speed. An average 7% improvement is recorded in CHTC-B through the adoption of 2-speed AMT. The performance of HESS and the opportunity for wireless charging It has been known that SC can work as a 'buffer' to reduce the negative effect of 'impulse' current on battery health, nevertheless, wireless charging provides a similar function to a hybrid energy storage system in terms of keeping the battery from large-current charging/discharging. Compared to fast cable charging, opportunity wireless charging transfers the same amount of energy from the grid to the vehicle in a longer period with a relatively low current. However, compared to directly charging the battery transferring energy to SC first, then, SC to the battery is a better option in terms of battery health. Based on the battery degradation model in Section 2.1, the improvement of battery capacity loss per CHTC-B cycle is shown in Figure 10. Regarding the energy consumption of the battery, there is no doubt that energy from the opportunity charging system eliminates part of the energy depleted from the battery. However, adoption of HESS or not shows different patterns of behavior. Although the Regarding the energy consumption of the battery, there is no doubt that energy from the opportunity charging system eliminates part of the energy depleted from the battery. However, adoption of HESS or not shows different patterns of behavior. Although the final battery energy consumption of HESS and battery-only-based powertrain are almost the same (little different from the SC capacity), the fluctuation of HESS-based battery energy consumption is relatively low, as shown in the green curve in Figure 11, compared to battery-only one, shown in red curve. The reason is that the opportunity for wireless charging powertrain transfers energy to SC first, then, SC gradually transfers to the battery at a low power rate, while energy transfers directly from the grid to the battery at a high-power rate in the battery-only powertrain.  Figure 11, compared to battery-only one, shown in red curve. The reason is that the opportunity for wireless charging powertrain transfers energy to SC first, then, SC gradually transfers to the battery at a low power rate, while energy transfers directly from the grid to the battery at a high-power rate in the battery-only powertrain. The dynamic performance of the system is shown in Figure 12. As can be seen from Figure 12a, the WPT system is enabled when the bus is at the bus stop from which a 60 kW power is transferred. The transferred power is charged to the SC, and the SC is capable to store the WPT power. When the bus leaves the bus stop, the energy in SC is consumed by the acceleration, as can show in Figure 12b at 400 s. The SOC of the SC and battery, during the driving cycle, are shown in Figure 12c. The SOC of the battery kept decreasing, and the SOC of the SC varies with the acceleration of the bus as shown in Figure 12d. The dynamic performance of the system is shown in Figure 12. As can be seen from Figure 12a, the WPT system is enabled when the bus is at the bus stop from which a 60 kW power is transferred. The transferred power is charged to the SC, and the SC is capable to store the WPT power. When the bus leaves the bus stop, the energy in SC is consumed by the acceleration, as can show in Figure 12b at 400 s. The SOC of the SC and battery, during the driving cycle, are shown in Figure 12c. The SOC of the battery kept decreasing, and the SOC of the SC varies with the acceleration of the bus as shown in Figure 12d.
The dynamic performance of the system is shown in Figure 12. As can be seen from Figure 12a, the WPT system is enabled when the bus is at the bus stop from which a 60 kW power is transferred. The transferred power is charged to the SC, and the SC is capable to store the WPT power. When the bus leaves the bus stop, the energy in SC is consumed by the acceleration, as can show in Figure 12b at 400 s. The SOC of the SC and battery, during the driving cycle, are shown in Figure 12c. The SOC of the battery kept decreasing, and the SOC of the SC varies with the acceleration of the bus as shown in Figure 12d To quantify the performance of HESS and opportunity charging, Table 2 summarizes the energy consumption per CHTC-B cycle, the driving range, and related extension between wireless and cable chargers in a unit of CHTC-B cycle. To quantify the performance of HESS and opportunity charging, Table 2 summarizes the energy consumption per CHTC-B cycle, the driving range, and related extension between wireless and cable chargers in a unit of CHTC-B cycle. As shown in Table 2, compared to the bus operation scenario without wireless charging, the energy transferred from the grid by wireless opportunity charging can save 1.27 kWh onboard energy per CHTC-B cycle while HESS can help the electric bus further save 0.11 kWh. In other words, 16.7% (1.27/7.67) of the required energy per CHTC-B cycle can be provided by wireless charging. Then, HESS can help wireless charging transfer an additional 1.7% (0.11/6.4) of electricity to the EV. Assuming the SOC of the EV is not allowed to lower than 10%, each powertrain configuration-based EV can finish 19, 23, and 23 CHTC-B cycles, respectively. In other words, with the help of opportunity wireless charging, the EV can run extra 4 cycles.
Given the distance of the CHTC-B cycle is 5.49 km, the energy consumption per 100 km of each powertrain configuration can be expressed as:    E cable = 7.67 × 100 ÷ 5.45 = 140.7 kWh E wireless = 6.4 × 100 ÷ 5.45 = 117.4 kWh E wireless+HESS = 6.29 × 100 ÷ 5.45 = 115.4 kWh (7) Compared to the cable fast charging strategy, opportunity wireless charging not only saves the battery energy but also extends battery lifespan through a gentler charging current, compared to fast charging by cable at a bus station. Take cable fast charging as an example, it can charge the battery from empty to 100% in 1.5 h, which results in 1.3 Wh capacity loss per charge.
According to Equation (7), fast cable charging from empty to full will leads to a 1.3 Wh battery capacity loss. Therefore, the capacity loss per CHTC-B cycle for the non-wireless charging strategy consists of loss from battery discharging and each cycle share of full cable charging (1.3 Wh/19), which is shown in Table 3.

Conclusions
A hybrid energy storage system with an opportunity wireless charging strategy is proposed for a 2-speed EV in this study. The 2-speed automated manual transmission effectively boosts the overall powertrain efficiency by 7% through moving motor tracks to a higher efficiency zone, compared to a single-speed EV powertrain. The opportunity wireless charging, which is implemented during six stops of CHTC-B in this study, gives the EV another 4 CHTC-B cycles between two cable charging, which equals to 21.96 km driving range extension. By adding SC to the conventional battery to make up a hybrid energy storage system, the negative effect of impulse current during wireless charging can be further reduced. Specifically, 14% improvement has been achieved by wireless charging in terms of battery capacity degradation, and a further 7% improvement is made by the HESS through the charging strategy, i.e., grid-SC battery. To sum up, the effectiveness of the proposed control strategy for HESS and the opportunity of wireless charging on improving battery health and extend driving range per charge have been verified. The combination of a 2-speed AMT, HESS, and opportunity wireless charging system is a suitable powertrain configuration for EVs.