Abstract With the trend of low emissions and sustainable development, the demand for hybrid electric vehicles (HEVs) has increased rapidly. By combining a conventional internal combustion engine with one or more electric motors powered by a battery, HEVs have the advantages over traditional vehicles in better fuel economy and lower tailpipe emissions. Nevertheless, the power management strategies (PMSs) for conventional vehicles which mainly focus on the efficiency of internal combustion engine are no longer applicable due to the complex internal structure of HEVs. Hence, a large number of novel strategies appropriate for HEVs have been surveyed, but most of the researches concentrate on discussing the classifications of PMSs and comparing their cons and pros. This paper presents a comprehensive review of power management strategies adopted in HEVs aiming at specific challenges for the first time. The categories of the existing PMSs are presented based on the different algorithms, followed by a brief study of each type including the analysis of its pros and cons. Afterwards, the implementation and optimization of power management strategies aiming at proposed challenges are introduced in detail with the description of their optimization objectives and optimized results. Finally, future directions and open issues of PMSs in HEVs are discussed. 1. Introduction As the world's population and economy grow at an unprecedented pace, the number of private cars on the road is rapidly increasing, putting a strain on energy distribution and environmental protection. [1]. To be more specific, More specifically, conventional cars are mainly powered by fossil fuels (diesel and gasoline), both of which are limited and nonrenewable resources [2]. Furthermore, poisonous gases emitted by vehicles not only pollute the air and endanger human health, but they also exacerbate the greenhouse effect, increasing the risk of global climate disasters (e.g., hurricane, tsunami, and rise of sea level). One of the most innovative solutions to the problems listed above is hybrid electric vehicles (HEVs). Unlike traditional gasoline-powered vehicles, which have a single power structure, HEVs have a power supply system that includes a generator, an internal combustion engine, and a converter [3]. The HEV's energy sources are enriched by such an internal structure, allowing it to run on both electricity and heat, reducing fossil fuel consumption and emissions. Power management strategies for conventional vehicles, which primarily focus on the efficiency of internal combustion engines, are no longer applicable due to the complex internal structure of HEVs. New strategies are needed not only to optimize the internal combustion engine, but also to consider the battery's power, the flow and distribution of energy, and the collaboration of internal components (such as the generator and the internal combustion engine) [4]. The complexity is greatly increased when multiple management objectives are pursued. The following are the four major issues in HEV power management: (1) Real time optimization, as compared to static optimization, it allows the power management strategy to be adjusted based on driving conditions, significantly improving the strategy's timeliness [5]. However, existing technologies (e.g., GPS and BIMS) make it impossible to accurately predict, analyze, and assess future driving conditions, such as road conditions, traffic flow, and the surrounding environment. As a result, adapting real-time optimization to changing driving conditions is difficult [6]. (2)Battery durability is significantly reduced under dynamic loading conditions when compared to constant load conditions [7]. Furthermore, frequent charging and discharging process, switching voltages, and the flow of energy tend to accelerate battery aging. (3) Computation load with the expansion of optimal objectives, the computation load generated by some power management strategies, such as dynamic programming (DP), is likely to increase significantly [8]. Furthermore, because current vehicular networks have limited computation capabilities, they may struggle to process such large amounts of data in real time. As a result, the majority of these strategies are restricted to theoretical analysis rather than actual implementation [9]. (4)Multiple energy sources unlike traditional fuel-powered vehicles, HEVs with multiple power sources have a variety of internal energy flows and transitions. As a result, under a variety of driving conditions, internal component cooperation (e.g., motor and internal combustion engine) and energy distribution become more complicated [10]. Although a large number of HEV power management strategies (PMSs) have been studied, the current research is primarily focused on discussing PMS classifications and comparing their benefits and drawbacks [11, 12]. There hasn't been a comprehensive and thorough review of power management strategies aimed at specific challenges presented by academics. To close this gap, this paper conducts a comprehensive and detailed survey of recent research performance of HEV and power management strategies in terms of the aforementioned challenges, providing explicit research directions for future scholars [13]. The paper is organized as follows. Part II introduces the internal system framework of HEV, including power supply system, the generation of energy, and the cooperation of each part. Part III presents an overview of power management strategies of HEVs, providing their classifications and comparisons. After that, part IV reviews the implementation and optimization of power management strategies according to specific challenges raised above. Finally, part V discusses future trends and open issues of power management strategies in HEVs. 2. Classification of Hybrid Electric Vehicles The classification of hybrid power systems differs depending on the standard used. This section summarizes and analyzes the classification of HEVs based on various criteria such as the degree of hybridization, The position of the motor and on The powertrain configurations 2.1. Based on Degree of Hybridization In general, HEVs can be divided into four types according to the electrification level: micro, mild, and full, HEVs as well as plug-in HEVs (PHEVs) [39]. Table 1 shows their main distinctions. Micro HEV : A micro HEV is a vehicle powered by an electric motor that is connected to an integrated alternator/starter that uses start/stop technology[40] which allows it to shut down the engine upon stopping, and restart it when the brake pedal is released. At cruising speeds, the vehicle is only propelled by the ICE. Examples of micro hybrids on the road today include the BMW 1 and 3 series, Fiat 500, SMART car, Peugeot Citroen C3, Ford Focus and Transit, and Mercedes-Benz A-class. Mild HEVs:Mild hybrid electric vehicles have many similarities to micro hybrid electric vehicles, but they have a larger integrated alternator/starter motor and a battery that provide power assist to the vehicle during propulsion [41]. Typical gains in fuel efficiency for mild hybrid electric vehicles are around 20% to 25% in real-world conditions. Examples of mild HEVs on the market include the BMW 7 Series Active Hybrid, Buick La Crosse with e-Assist, Chevrolet Malibu with e-Assist, Honda Civic and Insight Hybrid, and the Mercedes-Benz S400 Blue Hybrid[42,43]. Full HEVs have larger batteries and stronger electric motors than those in micro and mild hybrids, which are often high in cost [9]. They enable the usage of the pure electric (EV) mode for a short duration in city driving. PHEVs essentially have similar characteristics as those of full HEVs but include a larger battery package that can be charged by plugging into the grid [44,45]. This allows PHEVs to be operated in EV mode for extended periods. Two types of PHEVs are available in the market: extendedrange electric vehicles (EREVs) and blended PEHVs. The former generally use series configuration, in which the gasoline engine only generates electricity and the electric machine drives the vehicle; an example is the BMW i3 with a range extender. The engine is not fired until the battery is depleted. In the latter, the engine is usually engaged to directly power the vehicle. An electric machine acts as a motor/generator (MG) based on the driving demand and battery SOC level, such as that installed in the Chevrolet Volt. Fig. 1 shows typical battery SOC ranges and cycling ranges of all four types. The SOC range increases with the hybridization degree. Micro, mild, and full HEVs usually have a narrower SOC window to avoid over-charging or over-discharging 2.2. Based on the Position of the Motor At present, based on the position of the motor in the powertrain with single motor of HEV is mainly classified into five categories named P0, P1, P2, P3, and P4 (Figure 1) [14,15]. In simple terms, the word “P” is the position of the motor, which is placed in a different position with a different number code. In Figure 2, the two clutches can separate and engage the engine and motor separately. When the torque is transmitted from the motor to the engine to start the engine, it is transmitted by the K0 clutch (The letter "K" represents clutch). Subtype P0 refers to the configuration in which a motor is installed before the ICE and is connected to ICE by a belt. Therefore, it is also known as a belt-driven starter/generator HEV. Owing to the torque limitation of the belt, the starter/generator is always small and can fulfill only the start–stop function [48]. The P1 subtype refers to the configuration in which the motor is mounted on the crankshaft of the engine. Here, the motor is always referred to as an integrated starter generator (ISG) [49,50]. The installation position of the ISG always restricts its size; this limitation does not allow ISG to provide high torque to operate the vehicle. Only some functions can be fulfilled such as start–stop, regenerative braking and acceleration assistance. The P4 subtype refers to a parallel hybrid in which the motor is mounted directly on the drive shaft or is incorporated into the hub of a wheel using in-wheel motor technology (Fig. 3 (e)). P4 is generally not used independently but is combined with other parallel subtypes, P2 and P3, particularly in four-wheel drive (4WD) vehicles [54]. Previous studies [55] and [56] have compared the performance of different parallel HEVs. A comparative study through DP was also conducted [57] in which P2 is shown to have better fuel economy than P1 owing to its larger motor, and P2 and P3 have similar fuel economy benefits Fig. 3. Configurations of subtypes P0 to P4 in parallel HEVs 14. Bao, R.; Avila, V.; Baxter, J. Effect of 48V Mild Hybrid System Layout on Powertrain System Efficiency and Its Potential of Fuel Economy Improvement. In Proceedings of the Wcx™ 17th Sae World Congress Experience, Detroit, MI, USA, 4–6 April 2017. 15. Zhou, W.; Yang, L.; Cai, Y.; Ying, T. Dynamic programming for New Energy Vehicles based on their work modes part I: Electric Vehicles and Hybrid Electric Vehicles. J. Power Sources 2018, 406, 151–166. [CrossRef] 2.3 Based on the powertrain configurations The main challenge in HEV design is to control energy transfer from sources to loads with minimal energy loss, which is dependent on driving cycles. In comparison to conventional internal combustion engine vehicles (ICEVs), HEVs have more electrical apparatus such as electric machines, power electronics, electronic continuously variable transmissions, embedded powertrain controllers, advanced energy storage devices, and energy converters [17]. There are three types of HEV powertrain configurations: series, parallel, and series-parallel combination HEVs [10]. [10] Lo EWC. Review on the configurations of hybrid electric vehicles. In: 3rd international conference power electronics systems and applications; 2009. p. 1–4. [17] Katrašnik Tomazˇ. Analytical framework for analyzing the energy conversion efficiency of different hybrid electric vehicle topologies. Energy Convers Manage 2009;50(8):1924–38. 2.1. Series Hybrid Electric Vehicles A series hybrid is like a battery electric vehicle (BEV) in design. In this case, the combustion engine does not provide propulsive torque to drive the vehicle. Its main function is to convert potential energy from fuel to mechanical energy which is then converted to electrical energy using a generator. The electrical energy is used to propel the motor via an inverter. As a result of this configuration, the engine speed can be independently controlled from the vehicle speed, so that the engine can run at the optimal speed to minimize losses incurred in the electricity generation process [26]. A series hybrid electric vehicle's power system is made up of multiple batteries, a decoupled-from-wheel engine, an electric generator, and a motor [16]. Figure 1 show that the structure as well as the energy flow. Rather than the engine, the battery pack provides the primary driving power for the wheels. The engines of SHEVs are also used to power electric generators, which charge the battery pack. The motor will then be driven by the power released by the battery pack to provide the necessary energy and torque for the wheels [17]. Figure 1. Series hybrid electric vehicle. 2.1.2. Operation mechanism Typical series HEVs have traction motors that operate the vehicle alone, whereas an ICE is connected to a generator (Figure 1). The motors are powered by the battery and the generator, and they can be placed on either the front or rear axle to achieve electric all-wheel drive. Since there no mechanical coupling exists between the ICE and vehicle drive axle, the ICE could operate in its best efficiency area regardless of the vehicle speed and power required by the driver. Moreover, the traction motor has a wider operating range and higher efficiency than the ICE. Series HEVs generally use traction motors to operate the vehicle alone, whereas the ICE is connected to a generator (Fig. 4). The motors are powered by the battery and the generator and can be placed on both front and rear axles to realize electric all-wheel-drive functionality. Since there no mechanical coupling exists between the ICE and vehicle drive axle, the ICE could operate in its best efficiency area regardless of the vehicle speed and power required by the driver. Moreover, the traction motor has a wider operating range and higher efficiency than the ICE. Therefore, a transmission, which is a necessary component in a conventional vehicle, might not be necessary in series HEVs. Thus, the series hybrid powertrain is simpler compared with other types, including configuration and energy management [58]. 2.1.2. Typical models Only a few HEVs in the market use the series configuration expect range-extended HEVs [59]. The most successful model of this type in the market is the BMW i3, which provides an optional gasoline-powered range extender auxiliary power unit [60]. Recently, some OEMs have developed electric cars with range extended technique. A typical example is the Nissan e-Power, which has a 1.2 L gasoline engine that acts solely as a generator for battery charging [61]. 2.1.3. Limitations and challenges The fuel economy of series HEVs can be better than that of conventional vehicles. However, high energy conversion losses can occur because 100% of the engine power must first be converted into electricity. Part of the electricity is stored in the battery, and the remainder powers the motors to propel the vehicle. Even though the MGs have relatively high efficiency and the ICE operates at high efficiency, the multiple energy conversions still result in low overall efficiency. Additionally, the series configuration requires a large traction motor to meet the torque requirement because the motor is the only traction device. As for the parallel topology, the engine is connected to the powertrain by a mechanical coupling device while the motor propels the vehicle. Either engine or motor could propel the vehicle according to different load conditions, which makes it possible to greatly increase the fuel economy. The motor provides the power when the vehicle operates at lower speed to reduce fuel consumption. Thus, this configuration is capable of maintaining a higher efficiency and better fuel economy. The power summation is mechanical rather than electrical, and the engine and the electric machines (one or more) are connected with a gear set, a chain, or a belt; thus, their torques are summed and transmitted to the wheels [8]. In this configuration, there is no need to size one of the two electromechanical energy converters to meet the maximum power demand for parallel hybrid powertrain; however, unless it is significant oversize, the electric motors have less power than those used in a series hybrid powertrain (since not all the mechanical power goes through them), thus reducing the possibility of regenerative braking. Meanwhile, the engine operating conditions cannot be regulated as freely as in a series hybrid powertrain, since the engine speed is mechanically related (via the transmission system) to the vehicular velocity [2,8]. The parallel topology is illustrated in Figure 2. 2.2. Parallel hybrid electric vehicles (PHEV) In PHEV, both the mechanical power output and the electrical power output are connected in parallel to drive the transmission as shown in Fig. 3. There are various control strategies used for parallel configuration. In the most common strategy, ICE is basically always in on mode and operates at almost constant power output at maximum efficiency point. If the power requested from transmission is higher than the output power of ICE, the electric motor is turned on, ICE and electric motor supply power to the transmission. If the power requested from transmission is less than the output power of the ICE, the remaining power is used for charging the battery packs. In this configuration, regenerative braking power on a down slope driving is used to charge the battery. Insight model introduced by Honda is a specific implementation of parallel HEV (PHEV). Other examples for PHEV applications are Ford Escape Hybrid SUV and Lexus Hybrid SUV. Figure 2. Parallel hybrid electric vehicle. 3.1.1. Operation mechanism In parallel HEVs, both the ICE and MG are connected mechanically with the output shaft (Fig. 2) and can simultaneously provide power to operate the vehicle. The available MG is used to shift the engine operating points to a higher-efficiency area. It acts as a generator at low power demand and as a motor at high power demand. In this way, the engine can work at higher efficiency than that in a conventional vehicle. In addition, parallel hybrids must include a transmission to match high engine speed and low vehicle speed [46]. 3.1.2. Sub-types and typical models The parallel configuration can be considered as an incremental add on to a traditional powertrain and its design requires relatively little investment and engineering effort. Parallel hybrid powertrains can be further classified into five subtypes according to the location and size of the MG: P0, P1, P2, P3, and P4 (Fig. 3) [47]. Subtype P0 refers to the configuration in which a motor is installed before the ICE and is connected to ICE by a belt. Therefore, it is also known as a belt-driven starter/generator HEV. Owing to the torque limitation of the belt, the starter/generator is always small and can fulfill only the start–stop function [48]. The P1 subtype refers to the configuration in which the motor is mounted on the crankshaft of the engine. Here, the motor is always referred to as an integrated starter generator (ISG) [49,50]. The installation position of the ISG always restricts its size; this limitation does not allow ISG to provide high torque to operate the vehicle. Only some functions can be fulfilled such as start–stop, regenerative braking and acceleration assistance. Subtypes P2 and P3 are the two most popular variations of parallel HEVs. In these configurations, the motor is mounted on the input and output of the transmission, respectively. The motor in P2 and P3 is much larger than that in P0 and P1 and has the ability to operate the vehicle at relatively high speeds [46]. Recapturing more regenerative braking and eliminating engine drag result in better energy efficiency than that in other subtypes.Many European and Korean automakers have released P2-type HEVs such as the Volkswagen Passat hybrid [51] and the Hyundai Sonata Hybrid [52]. In China, BYD used the P3 subtype in the BYD Qin [53]. The P4 subtype refers to a parallel hybrid in which the motor is mounted directly on the drive shaft or is incorporated into the hub of a wheel using in-wheel motor technology (Fig. 3 (e)). P4 is generally not used independently but is combined with other parallel subtypes, P2 and P3, particularly in four-wheel drive (4WD) vehicles [54]. Previous studies [55] and [56] have compared the performance of different parallel HEVs. A comparative study through DP was also conducted [57] in which P2 is shown to have better fuel economy than P1 owing to its larger motor, and P2 and P3 have similar fuel economy benefits. 3.1.3. Limitations and challenges Parallel HEVs are efficient during city stop-and-go conditions. However, this might not be the most efficient configuration because a mechanical connection still exists between the ICE and the output shaft. In addition, because MG cannot be used to simultaneously charge battery and assist in powering the engine, the power assist and EV operations must be controlled carefully to avoid battery depletion. This problem is exacerbated during city driving, in which frequent start–- stops can consume a significant amount of battery energy and force the engine to generate power in its low efficiency area. Because of these drawbacks, parallel HEVs have a smaller market share percentage even a variety of models have become available. 2.3. Combination of parallel and series HEVs Combination of parallel and series hybrid configurations into a single package is quickly becoming the standard in passenger vehicle hybridization [27]. As the name implies the combination hybrid configuration is neither fully parallel nor series configuration. Fig. 4 shows the essential of the combination architecture. The combination architecture has features of both series and parallel hybrid configurations. Parallel and series HEVs are mostly used in small automobiles, such as passenger cars [13]. They conjugate with power split devices (planetary gear set) allowing for power path from ICE to wheels. A planetary gearbox connects two electric machines and the ICE as shown in Fig. 5. Owing to the connection of the sun gear and the planet gears, the speed of the engine can simply be adjusted by varying the speed of the generator [28]. Figure 3. Power-split hybrid electric vehicle 3.3.1. Operation mechanism Power-split HEVs usually employ one or multiple planetary gear (PG) sets to couple the ICE, two MGs and the driveshaft together (Fig. 5) [62,63]. The PG sets are the heart of the power-split hybrid powertrain, which is usually referred to as a power split device (PSD). The PSD decouples the ICE from the vehicle speed and acts as a continuously variable transmission (CVT), which results in efficient engine operation regardless of the vehicle speed. Therefore, the PSD in power-split HEVs is also referred to as an electronic-CVT (E-CVT) [64]. Because of this decoupling function, power-split HEVs generally show better fuel economy than both series and parallel HEVs, particularly in city driving conditions. The PSD allows for power flows from the engine to the driveshaft: either through the mechanical path or the electrical path (Fig. 6) [64,65]. In electrical path, the PSD operates like a series HEV. Part of the ICE power is converted into electricity first by a generator, which drives the motor or charges the battery. In the mechanical path, the PSD also enables the system to operate like a parallel HEV, in which the ICE engine can generate power flow to the driveshaft directly. Therefore, the power-split HEV combines the advantages of both series and parallel hybrids. 3.3.2. Sub-types and typical models The power-split hybrid powertrain can be further classified into three subtypes according to the point of the power split execution: i.e., input-split, output-split and compound-split [64]. In an input-split HEV, the ICE power is split at the input to the transmission by collocating an MG with the output shaft and sometimes with an additional set of gears in between. In an output-split vehicle, the ICE power is split at the output to the transmission by collocating an MG with the ICE, also sometimes with an additional set of gears in between. In a compound split vehicle, no MG collocation occurs with the output shaft or the engine. The most successful power-split hybrid on the market is the input split subtype, such as the Toyota Hybrid System (THS) or Hybrid Synergy Drive (HSD), introduced by the Toyota Motor Corporation[66]. This subtype was first implemented in the Toyota Prius in Japan in 1997 and was then extended to the company’s Camry and Lexus hybrid vehicles in the following years. The second-generation THS was announced in 2004, offering increased system efficiency, enhanced power, and improved scalability [67]. Scalability enables the THS to adapt to different vehicle sizes by changing the reduction paths of ICE/ MG1 and MG2. A similar input-split concept was adopted by the Ford Motor Company in its Fusion Hybrid and C-max models. However, General Motor developed two classes of powersplit powertrains by using the other two subtypes in a power-split configuration, the Voltec Hybrid Powertrain with an output-split mode [68] and the Allison Hybrid System (AHS) with both an input-split and a compound-split mode [69]. Power-split HEVs have a variety of design variations by changing the locations of the employed components [70]. To explore all possible designs, Liu and Peng proposed an automated modeling method to efficiently build the dynamics of a power-split HEV and identified a design with optimal fuel economy [71]. Barak et al. enumerated all feasible powertrain by using a bond graph and generated complete sets of feasible designs based on an exhaustive search [72]. Kim et al. reorganized all the possible single PG configurations into a compound lever design space and screened the optimal design by balancing the fuel benefits and the drivability [73,74]. 3.3.3. Limitations and challenges As discussed in Section 3.3.1, the electrical path incurs higher energy loss than the mechanical path because of the extra energy conversion. More ICE power delivered through the electrical path indicates more energy loss caused by the PSD. When the speed of either MG is equal to zero, the engine–generator–motor path has zero power transmission, and the energy transition is the most efficient. This condition is known as the mechanical point. The energy dissipation in the electrical path might cause power-split HEVs to have greater energy losses than those in parallel HEV in some situations, particularly in high-speed cruising [64]. 3.4. Multi-mode hybrid powertrain 3.4.1. Operation mechanism The multi-mode hybrid powertrain system can be developed by adding clutches to parallel or power-split powertrain systems, which can become any of the three hybrid configurations (series, parallel and power split) in the same powertrain. Its subtype is also referred to as the operating mode. The freedom to choose from different modes makes it possible to achieve higher energy efficiency and performance than that realized by using the other HEV configuration types introduced above. Table 4. summarises the main advantages and disadvantages of the three HEV powertrains in more detail. Powertrain Series Advantages Disadvantages • Efficient operation of the ICE • Many components • Good performance at low speeds.. • Bad performance at high speeds • Simpler control of the ICE • Low efficiency • Long operational life • Multiple energy conversions Application: Larger vehicles such as heavy-duty buses, trucks and locomotives Parallel.. • No necessity of electric generator • Control of the ICE is more complex • ICE reduced size Mixed. • Great flexibility. • Very complex architecture • High efficiency.. involving many components • Economic gain at high cost • High voltages needed for efficiency Application: urban passenger cars Series –parallel • • Zero emission operation possible • Very expensive system Control complexity • Very expensive system • Larger traction drive system • Optimised efficient traction driveline (engine downsizing) • Modular power plant possibilities (space packaging advantages) • Excellent transient response • Zero emission operation possible Application: Larger vehicles such as heavy-duty buses, trucks and locomotives. • Zero emission operation possible • Complex space packaging • Zero emission operation possible • Very expensive system • Control complexity • Complex space packaging Application: passenger cars, light duty vehicles. 3. Power management strategy The PMS mainly aims to divide the demanded power among different energy sources to sustain the battery SOC, optimize the drivetrain efficiency, and decrease the fuel consumption and emissions or other concerned objectives. In this section, the PMSs are divided into two classes (i.e. offline and online) in accordance with the criterion of use in real-time implementation because the purpose of designing any PMS is to apply it in realworld applications or to be used as a benchmark to verify the effectiveness of other methods. 3.1. Offline PMS Usually, this type of PMSs cannot be used in real-time application because it requires prior knowledge of global information such as the whole drive cycle, and the algorithms take too much computational effort before finding the solution. However, the main benefit of such methods is to verify the optimality of others. They generally refer to the global optimization algorithms or stochastic search methods such as genetic algorithm (GA), simulated annealing (SA), particle swarm optimization (PSO), parallel chaos optimization algorithm (PCOA), bee algorithm (BA), etc. More information about their exclusive features can be found in reference [11]. 4. The Implementation and Optimization of PMSS Although the HEVs have made great progress in improving fuel economy, reducing emissions, and achieving better vehicle performance, they still face significant challenges in power management. The challenges include real-time optimization, battery durability, computational load, and the power allocation among multienergy sources. To this endeavor, with the continuously advancing investigations, the novel power management strategies have been proposed. In this section, the advanced power management strategies aiming to address these challenges are discussed. 4.1. The Real-Time Optimization In the real-time optimization, the optimal solution is often obtained based on the forecast of future conditions. It indicates that the future driving conditions, such as traffic conditions, road grade, and surrounding environment, are prerequisites for the real-time optimization. Accordingly, the methods utilized for the prediction of the future information are essential for the optimization of the power management strategy in real time. 4.2. The Battery Durability The HEV system requires high energy capacities for long driving distances and high power capacities for accelerating, climbing, or braking. These requirements (high energy capacities and high power capacities) keep the battery in frequent discharge-charge condition. Nevertheless, the battery durability is impaired by the high discharge-charge rates, leading to a reduction in fuel economy. Hence, a proper power management for HEV is required to fulfill the durability of the battery. To deal with the battery durability, a system-level design is essential. Capasso et al. [51] developed an optimal control strategy, which exploits the off-line solution of an isoperimetric problem and dynamically optimizes the battery durability via reducing peak current. The results showed the effectiveness of the strategy in reducing the high charging/discharging current peaks to increase the battery durability. In addition, Zhang et al. [52] proposed a hysteresis control strategy for HEV with three fuel cell stacks, where each fuel cell stack works at a fixed operating point, and its active time is shortened by on-off switching control. Combined with the power capability and SOC states, Wang et al. [53] designed a finite state machine-based management strategy and presented an optimal oxygen excess ratio control to maximize the net power of fuel cell. The simulated results indicated that the method guarantees the required power during the driving cycles. Additionally, by taking the battery durability into consideration, the power management strategies can obtain the near-optimal solution. Zhang et al. [54] proposed an optimal power management strategy based on the DP algorithm and verified by the different battery SOC and battery state-of-health (SOH) conditions, which guarantees a better strategy control performance. To optimize the control of the fuel cell system, Robin et al. [55] designed a mechanistic catalyst dissolution model to predict the lifetime of fuel cell and utilized a model inversion to forecast the performance loss. The mechanistic catalyst dissolution model successfully passed the battery durability test in dynamic operation conditions. 4.3. Computational Load Due to the curse of dimensions, the data required to support a reliable result tends to multiply exponentially with the increase in variables. A mass of data leads to a high computation load or even an inability to calculate. Consequently, some power management strategies (e.g., dynamic programming) fail to be applied for the power management of HEV without the optimization for computational complexity in practice. Larsson et al. [56] put forward a method based on local approximation of the gridded cost-to-go and utilized local approximations at the appropriate control signal to reduce the quantized interpolation. Combined with the particle swarm optimization (PSO), Yang et al. [57] proposed a rapid-DP optimization strategy to select the optimal control state of the motor and further improved fuel economy of the vehicle. With the proposal of level-set DP in [58], the computing time of DP was decreased by 300 times. Nevertheless, more challenges, e.g., the Markov and standardization problems, were raised. To deal with these problems, Zhou et al. [59] proposed a unified solution method, where the Markov characteristics of DP were utilized to construct a unified equation of state. A massive amount of data in the computing was reduced by filters based on state variables and control variables. This method was faster than the conventional DP, reducing computation time by 96.48% and 23.44% compared with basic DP and level-set DP. Due to the low computational complexity of neural network, Li et al. [60] presented a power management strategy based on reinforcement learning without worrying curse of dimensionality in complex environments, where stochastic gradient descent and experience replay were adopted to guarantee the accuracy and stability of the method. The strategies to address the computational load discussed are listed in Table 3. 4.4. The Power Allocation of Multiple Energy Sources Compared with EVs, PHEVs have longer driving ranges. On the one hand, the engine allows the vehicle to work when the battery SOC is at a low state, which is similar to the situation of conventional vehicles. On the other hand, the engine will be turned off, and the vehicle will be driven by the electric power system when the speed or the power demand is low. Therefore, the driving performance depends on the power allocation among multienergy sources. Many valuable works related to power management for HEVs with multienergy sources, where intelligent strategies (e.g., fuzzy logic, dynamic programming, and particle swarm optimization [48]) are utilized to optimize energy allocation among multiple sources, have been widely conducted. Nevertheless, most of the works investigate power management strategies for the HEVs powered by the battery and engine or the battery and ultracapacitor, and few of them aim at the power management strategies of vehicles with more than two sources. 5. Open Issues and Challenges This section puts forwards some remaining challenges of power management strategies in HEVs that should be taken into account, and the open issues and future trends will also be discussed. 5.1. System Stability The power system in HEVs consists of multienergy sources (e.g., motor, engine, and battery), power switching unit, and converters. These components tend to be affected by the changes in parameters such as temperature, discharge-charge rate, and load variation [10]. Consequently, the disturbance from the parameters leads to changing power demands, battery overload, and low power quality, which eventually results in the instability of the vehicle power system [65]. To deal with the challenge for system stability, the design of the power management strategies is ought to take the terminal cost and stability constraints into account to guarantee the stable system operation [66, 67]. 5.5. Battery Aging Battery aging is a common issue in many types of batteries. During the charging and discharging process, chemical reactions take place inside the battery constantly which corrodes the cathode of the battery until the cathode completely deteriorates. Batteries should be replaced regularly if the aging issue is serious. Thus, battery exerts an important influence on the overall cost of HEVs. Although many studies have been conducted on power management strategies of HEV, only a few of them take this issue into consideration [79]. One promising solution is to combine a supercapacitor with the battery. Compared to supercapacitor, battery has better energy density but poor power density to release energy sharply. Moreover, the cycling life of battery is much shorter. On the other hand, although supercapacitor has lower energy density, it generally has much higher power density. The combination of the both can play a complementary role. 5. Conclusions The decreasing of fossil fuel energy sources and the increasing of the carbon emission force the technology to the systems which have renewable energy sources as a design philosophy. Among several technologies, hybrid electric vehicles are a hot subject today that has the advantages of lower fuel consumption, lower operating costs, lower noise pollution, low emissions, smaller engine size and long operating life. Hybrid electric vehicle studies are expected to be more popular in future years with development of battery technology, control techniques and government support to the automobile owners and manufacturers. This paper has presented an overview of HEV with a focus on general hybrid power train configurations and energy management strategies . The practical vehicle applications and patents are also exhibited to illustrate the current state of HEV technologies. Different strategies and future trends have been critically discussed. The review of published articles, research projects and patents show that the engine size on the vehicle will get smaller and/or disappear in the next future. HEV topologies can also change in near future with the decrease in the cost price of other renewable energy sources. Finally, the comprehensive overview of studies in the literature helps to document present trends and explore future trends of HEV. 3. Conclusion Environment protection and energy crisis have urged the development of EV. However, PEV is not widely used currently. The main reason is that they could not satisfy the consumers’ need due to high initial cost and short driving range. Thus, BEV will be designed mainly for short range, such as community transportation. Although FCEV has longterm potential for future main stream vehicles due to zero emission and comparable driving range with conventional vehicles, the major challenge for developing FCEV is how to investigate low-cost FC and refueling system. Consequently, HEV can meet consumers’ need currently and will grow in faster rate. The main issue of HEV is how to optimize the multiple energy sources to obtain best fuel economy or low emission at lower cost. This paper has presented an overview of HEV with focus on the configurations, main issues, especially the control of HEV, and it elaborates the EM approaches. The EM problem is the hot research area until now, and it is also the critical technology for HEV. Global optimization approach can obtain global optimum, but it requires substantial amount of computational time and does not implement real time, so the global optimization approach, such as DP, usually serves as a benchmark for evaluating other EM strategies. Instantaneous 4. Power management strategy The PMS mainly aims to divide the demanded power among different energy sources to sustain the battery SOC, optimize the drivetrain efficiency, and decrease the fuel consumption and emissions or other concerned objectives. In this section, the PMSs are divided into two classes (i.e. offline and online) in accordance with the criterion of use in real-time implementation because the purpose of designing any PMS is to apply it in real-world applications or to be used as a benchmark to verify the effectiveness of other methods. 3.1. Offline PMS Usually, this type of PMSs cannot be used in real-time application because it requires prior knowledge of global information such as the whole drive cycle, and the algorithms take too much computational effort before finding the solution. However, the main benefit of such methods is to verify the optimality of others. They generally refer to the global optimization algorithms or stochastic search methods such as genetic algorithm (GA), simulated annealing (SA), particle swarm optimization (PSO), parallel chaos optimization algorithm (PCOA), bee algorithm (BA), etc. More information about their exclusive features can be found in reference [11]. 3.2. Online PMS Differing from the offline PMS, the online PMS consists of rule-based and optimization-based PMS as shown in Fig. 4 3. Powertrain control techniques for HEV The most important criteria in HEV design is to get most effective results with controlling conversion of energy on the powertrain. This overall effectiveness is usually checked against one of the so-called standard drive cycles in the EU, USA or Japan to enable fair comparisons to be made. Therefore the controller design is the key point of the design process. The aim of this section is to review powertrain control strategies for HEVs and to discuss their performances. The control strategies aim to satisfy a number of goals for HEVs. There are four key goals [31]: Maximum fuel economy. Minimum emissions. Minimum system cost. Good driving performance. To achieve these goals, hardware configurations and powertrain control strategies are designed together [32]. The hardware configuration dictates to some extent what control strategies make sense. 3.1. Energy management strategies for HEV The electric motors in HEV systems are powered by battery pack throughout electronic devices. The discharged battery is recharged by ICE or from regenerative braking. The electric drive mode is very limited according to battery power. If a more powerful battery is applied to the vehicle, it will increase electric drive range of the vehicle and it improves the fuel efficiency. However, the battery packs need to be recharged using an electric outlet since the regenerative braking and limited engine usage will not be sufficient to fully recharge the larger battery packs. The operation modes of the HEV fed from battery and ICE are described in Fig. 6. When the vehicle is started, ICE warms up [33]. If necessary, the electrical motor works as a generator and it converts mechanical energy to the electrical energy. The produced electrical energy is stored in the battery. The ICE supplies energy to the powertrain and, if needed, to the battery when the vehicle is at cruising speed. If the vehicle needs more power such as in ‘‘Passing Mode”, the ICE and battery supply energy to the powertrain. Nonetheless, the regenerative braking converts otherwise wasted energy from braking into electricity and stores it in the battery when the vehicle is in ‘‘Braking Mode”. When the vehicle is in neutral position, such as at a red light, the ICE and electric motor shut off automatically, so that energy is not wasted in idling. The battery continues to supply power auxiliary systems, such as air conditioner, warning indicators and audio system. The operation modes of HEV are determined by energy management strategies which are philosophy behind the power controller as shown in Fig. 7. Energy management control strategies can be divided into the two main topics as shown in Fig. 8: Rule Based (RB) Control Strategy and Optimization Based Control Strategy [35]. Fig. 8. Energy management control strategies for HEV. 3.1.1. Rule Based Control Strategy The main aspect involved in rule-based energy management approaches is their effectiveness in real time supervisory control of power flow in a hybrid powertrain. The rules are designed based on heuristics, intuition, human expertise and even mathematical models and generally, without a priori knowledge of a predefined driving cycle. These strategies can be classified into deterministic and fuzzy rule based methods. The main idea of rule based strategies is commonly based on the concept of load-leveling [35]. The idea behind load-leveling an ‘‘IC-dominated hybrid” is to move the actual ICE operating point as close as possible to some predetermined value for every instant in time during the vehicle operation. If the best efficiency is needed, the vehicle operation points will be forced in the vicinity of the best point of efficiency at a particular engine speed. If the best fuel economy is needed, then vehicle operation points will be forced in the vicinity of that point. The resulting power difference will be used or contributed by the electric machine (EM). Since the EM has a considerably smaller power rating than the ICE and the degree of hybridization (DOH) is on the ICE side, it can be reasonably assumed that the efficiencies of the EM and the battery pack will have a smaller influence on the overall efficiency [36]. 3.1.1.1. Fuzzy rule based methods Looking into a hybrid powertrain as a multi domain, nonlinear and time varying plant, fuzzy logic seems to be the most logical approach to the problem. In fact, instead of using deterministic rules, the decision making property of fuzzy logic can be adopted to realize a real time and suboptimal power split. In other words, the fuzzy logic controller is an extension of the conventional rule based controller. The main advantages of fuzzy rule based methods are the following: (1) robustness, since they are tolerant to imprecise measurements and component variations and (2) adaptation, since the fuzzy rules can be easily tuned, if necessary [35]. Fuzzy rule based methods are composed of Conventional Fuzzy Strategy [37], Fuzzy Adaptive Strategy [38] and Fuzzy Predictive Strategy [38]. 3.1.1.2. Deterministic rule based methods Heuristics based on analysis of power flow in a hybrid powertrain, efficiency/fuel or emission maps of an ICE and human experiences are utilized to design deterministic rules, generally implemented via lookup tables, to split requested power between power converters [35]. Deterministic rule based methods consist of Thermostat (on/off) Strategy [39], Power Follower (Baseline) Control Strategy [40], Modified Power Follower (Base Line) Strategy [41] and State Machine Based Strategy [42]. 3.1.2. Optimization Based Control Strategy These control strategies maximize the efficiency of the powertrain while minimizing the loss [43]. The optimal reference torques for power converters and optimal gear ratios are calculated by minimization of a cost function generally representing the fuel consumption or emissions. If this optimization is performed over a fixed driving cycle, a global optimum solution can be found. In fact, the global optimal solution is no casual in that it finds the minimum fuel consumption using knowledge of future and past power demands. Obviously, this approach cannot be used directly for real time energy management; however, it might be a basis of designing rules for online implementation or comparison for evaluating the quality of other control strategies [35]. 3.1.2.1. Global optimization. A global optimization algorithm on the powertrain flows has been developed on the basis of the Bellman optimality principle and applied to fuel cell HEVs. The global optimization aims at minimizing the cumulative energy loss throughout the cycle [44]. There are several reported solutions to achieve performance targets by optimization of a cost function representing efficiency and emissions over a drive cycle, yielding to global optimal operating points [35]. Global optimization control strategies can be divided into Linear Programming [45], Control Theory Approach [46], Dynamic Programming [47], Stochastic DP [48], Game Theory [49] and Genetic Algorithm [50]. 3.1.2.2. Real time optimization. The global optimization techniques are not directly application for real time development, considering the fact that they are casual solutions. In order to develop a cost function used in instantaneous optimization, in addition to a measure for fuel consumption, variations of the stored electrical energy should also be taken into account to guarantee electrical self-sustainability [35]. Real time optimization control strategies can be divided into Real Time Control Based on Equivalent Fuel Consumption [51,52], Decoupling Control [53], Robust Control Approach [54] and Optimal Predictive Control [55]. 3.2. Electronic controller units in HEVs Electronic controller unit is the embedded system that manages electrical systems or subsystems in a conventional vehicle such as the energy conversion, the air conditioner, vehicle speed and the warnings on the instrument panel. The electronic controller units of the hybrid system can be classified as battery management unit (BMU), ultra capacitor control unit (UCU), electronic vehicle control unit (EVCU), engine control unit (ECU), electronic braking system control unit (EBSCU) and drive system control unit (DSCU) as shown in Fig. 9. Fig. 5.1 Rear-wheel-drive series HEV: a schematic diagram, b energy flow diagram Table 2 Benefits of the series hybrid configuration [26]. Features Optimized efficient power plant Modular power plant possibilities Optimized efficient traction drive line Engine down sizing Space packaging advantages Fast ‘‘black box” service exchange possible Long operational life Mature well proven technology Excellent transient response Zero emission operation possible Disadvantages Larger traction drive system Careful design algorithms a prerequisite Multiple energy conversions Vehicles systems/ applications TEMSA Avenue Hybrid Tesla ultra light rail Orion VII Conventional light rail Wrightbus electrocity New Tesla buses 1. R. Dominguez, J. Solano, and A. Jacome, “Sizing of fuel cell - ultracapacitors hybrid electric vehicles based on the energy management strategy,” in 2018 IEEE Vehicle Power and Propulsion Conference (VPPC), pp. 1–5, Chicago, IL, 2018.View at: Google Scholar 2. A. Rezaei, J. B. Burl, M. Rezaei, and B. Zhou, “Catch energy saving opportunity in charge-depletion mode, a realtime controller for plug-in hybrid electric vehicles,” IEEE Transactions on Vehicular Technology, vol. 67, no. 11, pp. 11234–11237, 2018.View at: Publisher Site | Google Scholar 3. J. Guan and B. Chen, “Adaptive power management strategy based on equivalent fuel consumption minimization strategy for a mild hybrid electric vehicle,” in 2019 IEEE Vehicle Power and Propulsion Conference (VPPC), pp. 1–4, Hanoi, Vietnam, 2019.View at: Google Scholar 4. S. S. George and M. O. Badawy, “A modular multi-level converter for energy management of hybrid storage system in electric vehicles,” in 2018 IEEE Transportation Electrification Conference and Expo (ITEC), pp. 336–341, Long Beach, CA, 2018.View at: Google Scholar 5. R. Ghaderi, M. Kandidayeni, M. Soleymani, and L. Boulon, “Investigation of the battery degradation impact on the energy management of a fuel cell hybrid electric vehicle,” in 2019 IEEE Vehicle Power and Propulsion Conference (VPPC), pp. 1–6, Hanoi, Vietnam, 2019.View at: Google Scholar 6. D. He, Y. Zou, J. Wu, X. Zhang, Z. Zhang, and R. Wang, “Deep Q-learning based energy management strategy for a series hybrid electric tracked vehicle and its adaptability validation,” in 2019 IEEE Transportation Electrification Conference and Expo (ITEC), pp. 1–6, Detroit, MI, USA, 2019.View at: Google Scholar 7. J. Guo, H. He, and C. Sun, “ARIMA-based road gradient and vehicle velocity prediction for hybrid electric vehicle energy management,” IEEE Transactions on Vehicular Technology, vol. 68, no. 6, pp. 5309–5320, 2019.View at: Publisher Site | Google Scholar 8. J. Oncken and B. Chen, “Real-time model predictive powertrain control for a connected plug-in hybrid electric vehicle,” IEEE Transactions on Vehicular Technology, vol. 69, no. 8, pp. 8420–8432, 2020.View at: Publisher Site | Google Scholar 9. J. Wu, J. Ruan, N. Zhang, and P. D. Walker, “An optimized real-time energy management strategy for the power-split hybrid electric vehicles,” IEEE Transactions on Control Systems Technology, vol. 27, no. 3, pp. 1194–1202, 2019.View at: Publisher Site | Google Scholar 10. S. Zhou, Z. Chen, D. Huang, and T. Lin, “Model prediction and rule based energy management strategy for a plug-in hybrid electric vehicle with hybrid energy storage system,” IEEE Transactions on Power Electronics, 2020.View at: Publisher Site | Google Scholar 11. H. H. Nguyen, J. Kim, G. Hwang, S. Lee, and M. Kim, “Research on novel concept of hybrid electric vehicle using removable engine-generator,” in 2019 IEEE Vehicle Power and Propulsion Conference (VPPC), pp. 1– 5, Hanoi, Vietnam, 2019.View at: Google Scholar 12. Q. Sun, J. Wu, C. Gan, J. Si, J. Guo, and Y. Hu, “Cascaded multiport converter for SRM-based hybrid electrical vehicle applications,” IEEE Transactions on Power Electronics, vol. 34, no. 12, pp. 11940–11951, 2019.View at: Publisher Site | Google Scholar 13. L. Zhang, X. Hu, Z. Wang, F. Sun, J. Deng, and D. G. Dorrell, “Multi-objective optimal sizing of hybrid energy storage system for electric vehicles,” IEEE Transactions on Vehicular Technology, vol. 67, no. 2, pp. 1027–1035, 2018.View at: Publisher Site | Google Scholar 65. Q. Zhang, W. Deng, and G. Li, “Stochastic control of predictive power management for battery/supercapacitor hybrid energy storage systems of electric vehicles,” IEEE Transactions on Industrial Informatics, vol. 14, no. 7, pp. 3023–3030, 2018.View at: Publisher Site | Google Scholar 66. Z. Zhang, C. Guan, and Z. Liu, “Real-time optimization energy management strategy for fuel cell hybrid ships considering power sources degradation,” IEEE Access, vol. 8, pp. 87046–87059, 2020. View at: Publisher Site | Google Scholar 67. O. Salari, K. H. Zaad, A. Bakhshai, and P. Jain, “Filter design for energy management control of hybrid energy storage systems in electric vehicles,” in 2018 9th IEEE International Symposium on Power Electronics for Distributed Generation Systems (PEDG), pp. 1–7, Charlotte, NC, 2018. View at: Google Scholar [13] Ehsani M, Gao Yimin, Miller JM. In: Hybrid electric vehicles: architecture and motor drives proceedings of the IEEE, vol. 95(4); 2007. p. 719–28. [18] Sun C, Sun F, He H. Investigating adaptive-ECMS with velocity forecast ability for hybrid electric vehicles. Appl Energy 2017;185:1644–53. [19] Hu X, Murgovski N, Johannesson L, Bo E. Energy efficiency analysis of a series plug-in hybrid electric bus with different energy management strategies and battery sizes. Appl Energy 2013;111(4):1001–9. [20] Xie S, Hu X, Xin Z, Brighton J. Pontryagin’s minimum principle based model predictive control of energy management for a plug-in hybrid electric bus. Appl Energy 2019;236:893–905. [21] Borhan H, Vahidi A, Phillips AM, Kuang ML, Kolmanovsky IV, Phillips A, Cairano SD. MPC-based energy management of a power-split hybrid electric vehicle. IEEE T Contr Syst T 2012;20(3):593–603. [22] Li L, You SX, Yang C, Yan B, Song J, Chen Z. Driving-behavior-aware stochastic model predictive control for plug-in hybrid electric buses. Appl Energy 2016;162:868–79. [23] Li L, You SX, Yang C. Multi-objective stochastic MPC-based system control architecture for plug-in hybrid electric buses. IEEE T Ind Electron 2016;99(1):1–12. [24] Hou C, Ouyang M, Xu L, Wang H. Approximate Pontryagin’s minimum principle applied to the energy management of plug-in hybrid electric vehicles. Appl Energy 2014;115:174–89. [25] Onori S, Tribioli L. Adaptive Pontryagin’s minimum principle supervisory controller design for the plug-in hybrid GM chevrolet volt. Appl Energy 2015;147:224–34. [26] HILTech Developments Limited (application notes) vehicle hybrid powertrain architectures; 2006. [27] Emadi Ali. Handbook of automotive power electronics and motor drives. Taylor & Francis Inc.; 2005. [28] Tian H, Li SE, Wang X, Huang Y, Tian G. Data driven hierarchical control for online energy management of plug-in hybrid electric city bus. Energy 2018;142:55–67. [31] Chan CC, Wong YS. Electric vehicles charge forward. IEEE Power Energy Mag 2004;2(6):24–33. [32] Katsargyri G-E, Kolmanovsky I, Michelini J, Kuang M, Phillips A, Rinehart M, Dahleh M. Optimally controlling hybrid electric vehicles using path forecasting. In: Proceedings of 2009 American control conference; 2009. p. 4613–7. [33] http://www.fueleconomy.gov; 2010. [34] Salman M, Schouten NJ, Kheir NA. Control strategies for parallel hybrid vehicles. American control conference, vol. 1(6); 2000. p. 524–8. [35] Salmasi FR. Control strategies for hybrid electric vehicles: evolution, classification, comparison and future trends vehicular technology. IEEE Trans 2007;56(5 part 1):2393–404. [36] Baumann Bernd M, Washington Gregory G, Glenn Bradley C, Rizzoni Giorgio. Mechatronic design and control of hybrid electric vehicles member. IEEE, IEEE/ ASME Trans Mechatron 2000;5(1):58–72. [37] Lee HD, Sul SK. Fuzzy-logic-based torque control strategy for parallel-type hybrid electric vehicle. IEEE Trans Ind Electron 1998;45(4):625–32. [38] Rajagopalan A, Washington G, Rizzoni G, Guezennec Y. Development of fuzzy logic control and advanced emissions modeling for parallel hybrid vehicles. NREL report SR-540-32919; 2003. [39] Sadegh N, Khan B, Meisel J. Optimization of the fuel consumption of a parallel hybrid electric vehicle, advanced intelligent mechatronics. In: Proceedings, IEEE/ASME international conference; 2005. p. 128–33. [40] Gao J-P, Zhu G-MG, Strangas EG, Sun F-C. Equivalent fuel consumption optimal control of a series hybrid electric vehicle. In: Proceedings of the institution of mechanical engineers, part D. J Autom Eng; 2009;223:1003–18. [41] Hajimiri Mir Hesam, Salmasi Farzad Rajaei. A predictive and battery protective control strategy for series HEV. J Asian Electric Veh 2008;6(2):1159–65. [42] Phillips AM, Jankovic M, Bailey KE. Vehicle system controller design for a hybrid electric vehicle control applications. In: Proceedings of the 2000 IEEE international conference; 2000. p. 297–302. [43] Amiri Meisam, Esfahanian Mohsen, Hairi-Yazdi Mohammad Reza, Esfahanian Vahid. Minimization of power losses in hybrid electric vehicles in view of the prolonging of battery life. J Power Sources 2009;190(2):372–9. [44] Karbowski D, Rousseau A, Pagerit S, Sharer P. Plug-in vehicle control strategy: from global optimization to real time application. In: 22th international electric vehicle symposium; 2006. [45] Tate ED, Boyd SP. Finding ultimate limits of performance for hybrid electric vehicles. SAE technical paper 2000-01-3099; 2000. [46] Delpar S, Lauber J, Guerra TM, Rimaux J. Control of a parallel hybrid powertrain: optimal control. IEEE Trans Veh Technol 2004;53(3):872–81. [47] Lin CC, Peng H, Grizzle JW, Kang J-M. Power management strategy for a parallel hybrid electric truck. IEEE Trans Control Syst Technol 2003;11(6):839–48. [48] Lin CC, Peng H, Grizzle JW. A stochastic control strategy for hybrid electric vehicles. In: Proceedings of Am control conf, Boston, MA; 2004. p. 4710–5. [49] Gielniak MJ, Shen ZJ. Power management strategy based on game theory for fuel cell hybrid electric vehicles. In: Proceedings of 60th IEEE Veh Technol Conf; 2004. p. 4422–6. [50] Piccolo A, Ippolito L, Galdi V, Vaccaro A. Optimization of energy flow management in hybrid electric vehicles via genetic algorithms. In: Proceedings of IEEE/ASME Int Conf Adv Intell Mechatron; 2001. p. 434–9. [51] Sciarretta A, Back M, Guzzella L. Optimal control of parallel hybrid electric vehicles. IEEE Trans Control Syst Technol 2004;12(3):352–63. [52] Xu Liangfei, Li Jianqiu, Hua Jianfeng, Li Xiangjun, Ouyang Minggao. Optimal vehicle control strategy of a fuel cell/battery hybrid city bus. Int J Hydrogen Energy 2009;34(17):7323–33. [53] Pisu P, Koprubasi K, Rizzoni G. Energy management and drivability control problems for hybrid electric vehicles. In: Proceedings of 44th IEEE conf decision control; 2005. p. 1824–30. [54] Pisu P, Rizzoni G, Control for hybrid electric vehicles. In: Proceedings of 43rd IEEE conf decision control; 2004. p. 3497–502. [55] Salman M, Chang M-F, Chen J-S. Predictive energy management strategies for hybrid vehicles. In: Proc. 44th IEEE conf decision control; 2005. p. 21–5. [56] Katrasnik T. Analytical framework for analyzing the energy conversion efficiency of different hybrid electric vehicle topologies. Energ Convers Manage 2009;50(8):1924–38. [57] Sundström O, Guzzella L, Soltic P. Optimal hybridization in two parallel hybrid electric vehicles using dynamic programming. IFAC Proc Volumes 2008;41(2):4642–7. [58] Rezaei A, Burl JB, Solouk A, Zhou B, Rezaei M, Shahbakhti M. Catch energy saving opportunity (CESO), an instantaneous optimal energy management strategy for series hybrid electric vehicles. Appl Energy 2017;208:655–65. [62] Liu JM, Peng HE. Modeling and control of a power-split hybrid vehicle. IEEE T Contr Syst T 2008;16(6):1242–51. [63] Pei H, Hu X, Yang Y, Tang X, Hou C, Cao D. Configuration optimization for improving fuel efficiency of power split hybrid powertrains with a single planetary gear. Appl Energy 2018;214:103–16. [64] Miller JM. Hybrid electric vehicle propulsion system architectures of the e-CVT type. IEEE T Power Electr 2006;21(3):756–67. [65] Zhang X, Peng H, Sun J. A near-optimal power management strategy for rapid component sizing of multimode power split hybrid vehicles. IEEE T Contr Syst T 2015;23(2):609–18. [66] Hashimoto T, Yamaguchi K, Matsubara T, Yaguchi H, Takaoka T, Jinno K. Development of new hybrid system for compact class vehicles. SAE Technical Paper 2009-01-1332; 2009. doi:10.4271/2009-01-1332. [67] Vasilash GS. A lexus like no other but like the rest: introducing the RX 400h luxury, not economy. Automotive Design & Production 2005;2:38–41. [68] Duhon AN, Sevel KS, Tarnowsky SA, Savagian PJ. Chevrolet volt electric utilization. SAE Int J Alternative Powertrains 2015;4(2):269–76. [69] Holmes AG, Schmidt MR. Hybrid electric powertrain including a two-mode electrically variable transmission. United States patent US 6,478,705; 2001 Jul 19. [70] Ngo HT, Yan HS. Novel configurations for hybrid transmissions using a simple planetary gear train. J Mech and Robot 2016;8(2):021020–21110. https://doi.org/ 10.1115/1.4031952. [71] Liu JM, Peng HE. A systematic design approach for two planetary gear split hybrid vehicles. Vehicle Syst Dyn 2010;48(11):1395–412. [72] Bayrak AE, Kang N, Papalambros PY. Decomposition-based design optimization of hybrid electric powertrain architectures: simultaneous configuration and sizing. Design. J Mech Design 2015;138(7). [73] Kang M, Kim H, Kum D. Systematic configuration selection methodology of powersplit hybrid electric vehicles with a single planetary gear. In: ASME 2014 dynamic systems and control conference. 2014. American Society of Mechanical Engineers. San Antonio, USA, October 22–24; 2014. p. V001T15A001. [74] Kim H, Kum D. Comprehensive design methodology of input- and output-split hybrid electric vehicles. In search of optimal configuration. IEEE-ASME T Mech 2016;21(6):2912–23. [9] Malikopoulos AA. Supervisory power management control algorithms for hybrid electric vehicles: a survey. IEEE T Intell Transp 2014;15(5):1869–85. [39] Chau KT, Chan CC. Emerging energy-efficient technologies for hybrid electric vehicles. P IEEE 2007;95(4):821–35. [40] Albers J, Meissner E, Shirazi S. Lead-acid batteries in micro-hybrid vehicles. J Power Sources 2011;196(8):3993– 4002 [41] Stienecker AW, Stuart T, Ashtiani C. An ultracapacitor circuit for reducing sulfation in lead acid batteries for mild hybrid electric vehicles. J Power Sources 2006;156(2):755–62. [42] Lee BH, Shin DH, Kim BW, Kim HJ, Lee BK, Won CY, et al. A study on hybrid energy storage system for 42V automotive power-net. In: 2006 IEEE power and propulsion conference, Windsor, Canada, Sep 6-8; 2006. p. 1–5. doi: 10.1109/ VPPC.2006.364310. [43] Liu Z, Ivanco A, Filipi ZS. Impacts of real-world driving and driver aggressiveness on fuel consumption of 48V mild hybrid vehicle. SAE Int J Alternative Powertrains 2016;5(2):249–58. [44] Martinez CM, Hu X, Cao D, Velenis E, Gao B. Energy management in plug-in hybrid electric vehicles: recent progress and a connected vehicles perspective. IEEE T Veh Technol 2017;66(6):4534–49. [45] Zhou X, Qin D, Hu J. Multi-objective optimization design and performance evaluation for plug-in hybrid electric vehicle powertrains. Appl Energy 2017;208:1608–25. 7. Conclusion and Future Direction As HEVs are gaining more popularity, the role of the energy management system in the hybrid drive train is escalating. A thorough description and comparison of all the control strategies to optimize the power split between the primary and secondary sources of HEVs/PHEVs used are given here. Evolution of control strategies from thermostat to advanced intelligent methods is included in the study. Rule-based controllers are easily implementable, but the resultant operation may be quite far from optimal; that is, the power consumption is not optimized for the whole trip. In order to achieve the global optimality a priori information of trip is required. Although real-time energy management is not directly possible using optimization-based methods, an instantaneous cost function based strategy may result in real-time optimization. The strategies discussed in this paper are real-time implementable and are robust in nature. Table 1 is the concluding table and serves as a guide to choose the correct method of optimization. It is suggested that strategies should take less computational time, provide global optimal results, and get fit to the dynamic simulation environment. To obtain reduced liquid fuel consumption and larger electric operating range without compromising with the speed and performance of vehicle, a new technology, that is, a PHEV, is in practice globally. PHEVs’ charge depletion mode of operation is desirable, but a blended mode of operation