A Boom Energy Regeneration System of Hybrid Hydraulic Excavator Using Energy Conversion Components

: In this paper, a novel design of an energy regeneration system was proposed for recovering as well as reusing potential energy in a boom cylinder. The proposed system included a hydraulic pump/motor and an electrical motor/generator. When the boom moved down, the energy regeneration components converted the hydraulic energy to electrical energy and stored in a battery. Then, the regenerated energy was reused at subsequent cycles. In addition, an energy management strategy has been designed based on discrete time-optimal control to guarantee position tracking performance and ensure component safety during the operation. To verify the effectiveness of the proposed system, a co-simulation (using MATLAB and AMESim) was carried out. Through the simulation results, the maximum energy regeneration efﬁciency could achieve up to 44%. Besides, the velocity and position of the boom cylinder achieved good performance with the proposed control strategy.


Introduction
Hydraulic excavators are indispensable equipment in the field of construction due to the many tasks that it does such as the transportation of heavy objects, dig, and demolition. However, it is also machinery that consumes a lot of energy and emits toxic emissions into the environment [1][2][3][4][5][6][7][8]. Therefore, the problems of recovering energy as well as reducing energy consumption in an excavator are necessary, especially in boom systems where 51% of the potential energy is stored [9].
There are many boom energy recovery systems (ERSs) that have been proposed which could be divided into 3 main types: hydraulic ERSs, mechanical ERSs and electrical ERSs [10][11][12]. The hydraulic ERSs use a hydraulic accumulator to store the energy and reuse it via some auxiliary devices such as hydraulic pump or motor. The advantages of hydraulic ERSs are high efficiency and low power consumption. Shen et al. [13] used a Common Pressure Rail (CPR) which integrated a hydraulic transformer connect two-port of cylinder to analyze the influences of different control methods on a hybrid hydraulic excavator. The fuel consumption could be reduced using dynamic programming (DP), and DP also provided a standard to compare different control methods. Ge et al. [14,15] proposed a gravitational potential energy (GPE) recovery scheme with a hydraulic accumulator and an energy conversion cylinder. Their results demonstrated that under the lowering process, more than 75.9% of the GPE can be recovered into the accumulator. However, the problem of the hydraulic ERSs is that the pressure of the accumulator increases during the moving down process of the boom cylinder. Then, it hinders the velocity of the cylinder [16].
The mechanical ERSs integrate a flywheel to store the energy. The flywheel has a large inertia torque and resists changes in rotation speed. The amount of energy stored pump by using the stored energy from the battery, and then, the energy consumption was reduced by up to 88.74 kJ.
The rest of this paper is organized as follows: Section 2 studies the structure and working principle of the proposed system. The energy management strategy is presented in Section 3. The simulation results are given in Section 4. Some conclusions are presented in the final section.

Proposed System Structure
A regenerative boom system in our previous research is shown in Figure 1 [11], in which Internal Combustion Engine (ICE) 1 and hydraulic pump 2 in combination with a check valve 3 are the main hydraulic source supplying power for the system. Driven by this engine, fixed-displacement pump 2 provides hydraulic flow toward the proportional directional valve 4, whose function is to purposely control the oil direction as desired. Clearly from the circuit, an energy recovery block is presented at the piston chamber line, in which several hydraulic as well as electrical components are installed to ensure the functionality of the system. Firstly, the combination of battery-inverter 5, generator 6 and variable displacement motor 7 helps to convert hydraulic energy into electrical energy. Secondly, proportional flow control valve 8 guarantees the safety and performance of the system in case of large load and high velocity. Besides, check valve 9 at the outermost allows boom 10 to move up smoothly but blocks the opposite direction so that no energy is lost during boom-up operation while during the boom-down period, oil is forced to flow through the hydraulic motor to regenerate energy. management strategy reduced the chattering and the error of the cylinder displacemen and the reference signal was 0.08 m. The maximum energy regeneration efficiency coul reach up to 44%. In addition, the cylinder could lift up without the power from the mai pump by using the stored energy from the battery, and then, the energy consumption wa reduced by up to 88.74 kJ.
The rest of this paper is organized as follows: Section 2 studies the structure an working principle of the proposed system. The energy management strategy is presente in Section 3. The simulation results are given in Section 4. Some conclusions are presente in the final section.

Proposed System Structure
A regenerative boom system in our previous research is shown in Figure 1 [11], i which Internal Combustion Engine (ICE) 1 and hydraulic pump 2 in combination with check valve 3 are the main hydraulic source supplying power for the system. Driven b this engine, fixed-displacement pump 2 provides hydraulic flow toward the proportiona directional valve 4, whose function is to purposely control the oil direction as desired Clearly from the circuit, an energy recovery block is presented at the piston chamber lin in which several hydraulic as well as electrical components are installed to ensure th functionality of the system. Firstly, the combination of battery-inverter 5, generator 6 an variable displacement motor 7 helps to convert hydraulic energy into electrical energy Secondly, proportional flow control valve 8 guarantees the safety and performance of th system in case of large load and high velocity. Besides, check valve 9 at the outermo allows boom 10 to move up smoothly but blocks the opposite direction so that no energ is lost during boom-up operation while during the boom-down period, oil is forced t flow through the hydraulic motor to regenerate energy. To further extend this idea, a modified boom energy regeneration system is propose in this paper that not only inherits the novelty of the previous research but also possesse a strategy to utilize the energy captured. Figure 2 vividly depicts the proposed system i which a couple of modifications have been made to the previous circuit. Specifically, a 3 To further extend this idea, a modified boom energy regeneration system is proposed in this paper that not only inherits the novelty of the previous research but also possesses a strategy to utilize the energy captured. Figure 2 vividly depicts the proposed system in which a couple of modifications have been made to the previous circuit. Specifically, a 3-way directional valve V3 is located on the rod chamber line to increase the control strategies of the system. Different from the former circuit, a combination of an electrical generator/motor and a hydraulic motor/pump is installed at the return line of the boom cylinder. This integration introduces a new operating mode to the system so that now, it is capable of running in three different modes including normal working, energy regeneration and energy reuse. gies of the system. Different from the former circuit, a combination of an electrical generator/motor and a hydraulic motor/pump is installed at the return line of the boom cylinder. This integration introduces a new operating mode to the system so that now, it is capable of running in three different modes including normal working, energy regeneration and energy reuse.

Working Principles
In the first working mode, the proposed system operates normally as a conventional valve-controlled hydraulic system as shown in Figure 3. Since the 3-way 3 positions directional valve V2 is closed and the 3-way directional valve V3 is set in the left position, the direction, as well as the amount of flow, is both managed by the 4-way directional valve V1. As the result, operations of the boom cylinder are totally governed by the operator by controlling this valve. Although no energy is saved during this period, this mode ensures that the system can still function properly in case of unexpected failures from energy recovery components. Moreover, it is well known that the valve-controlled system provides the fastest response which can be crucial in different real-life scenarios.

Working Principles
In the first working mode, the proposed system operates normally as a conventional valve-controlled hydraulic system as shown in Figure 3. Since the 3-way 3 positions directional valve V2 is closed and the 3-way directional valve V3 is set in the left position, the direction, as well as the amount of flow, is both managed by the 4-way directional valve V1. As the result, operations of the boom cylinder are totally governed by the operator by controlling this valve. Although no energy is saved during this period, this mode ensures that the system can still function properly in case of unexpected failures from energy recovery components. Moreover, it is well known that the valve-controlled system provides the fastest response which can be crucial in different real-life scenarios. The energy regeneration mode is described graphically via Figure 4. During boomdown operation, since arm and bucket weight as well as possibly heavy load are exerting considerable pressure on the boom cylinder, the retraction process can occur naturally as a result of gravity. As the rod goes down, oil being pushed out of the piston chamber flows  The energy regeneration mode is described graphically via Figure 4. During boomdown operation, since arm and bucket weight as well as possibly heavy load are exerting considerable pressure on the boom cylinder, the retraction process can occur naturally as a result of gravity. As the rod goes down, oil being pushed out of the piston chamber flows toward the hydraulic motor via the valve V2, which is at its left connection. The amount of hydraulic energy existing as the potential energy of the piston rod is converted into electrical energy by the generator and after that stored in a battery unit. In this mode, the main valve is set right in the middle position such that the main motor and pump can run idly. The retraction speed can be regulated by adjusting the torque of the electric generator. Under the large-load and high-velocity condition, the flow control valve F1 is then activated to rapidly alleviate the load with the hydraulic motor, as a result, ensuring good performance of the system. The energy regeneration mode is described graphically via Figure 4. During boom down operation, since arm and bucket weight as well as possibly heavy load are exertin considerable pressure on the boom cylinder, the retraction process can occur naturally a a result of gravity. As the rod goes down, oil being pushed out of the piston chamber flow toward the hydraulic motor via the valve V2, which is at its left connection. The amoun of hydraulic energy existing as the potential energy of the piston rod is converted int electrical energy by the generator and after that stored in a battery unit. In this mode, th main valve is set right in the middle position such that the main motor and pump can ru idly. The retraction speed can be regulated by adjusting the torque of the electric genera tor. Under the large-load and high-velocity condition, the flow control valve F1 is the activated to rapidly alleviate the load with the hydraulic motor, as a result, ensuring goo performance of the system.   Figure 5 illustrates how regenerated energy can be effectively utilized by the reuse mode. In this mode, the functionalities of the energy recovery unit are switched. Specifically, the electrical motor/generator now is working as a motor, and the hydraulic pump/motor now is operating as a pump to lift the load. Similar to the energy regeneration mode, the main valve V1 blocks flow from both sides of the valve; whereas the 3-way direction valve V3 is at its right position allowing oil to travel back to tank immediately. The flow is supplied to the boom cylinder via the valve V2 working in the right positions. mode. In this mode, the functionalities of the energy recovery unit are switched. Specif cally, the electrical motor/generator now is working as a motor, and the hydraul pump/motor now is operating as a pump to lift the load. Similar to the energy regenera tion mode, the main valve V1 blocks flow from both sides of the valve; whereas the 3-wa direction valve V3 is at its right position allowing oil to travel back to tank immediatel The flow is supplied to the boom cylinder via the valve V2 working in the right position

Energy Management Strategy
In the previous chapter, the details of the structure and working principle were pr sented. The proposed system is divided into 3 operation functions: normal mode, energ regeneration mode and energy reuse mode. With different working modes, the system needs a control strategy to operate the system safely and effectively.
The control strategy for the proposed system is shown in Figure 6. When the system starts to operate, the system initial parameters are set to keep the current state. The ope ator controls the boom cylinder by using the joystick signal. We assume that the negativ and positive joystick signal corresponds to the boom cylinder moving down and up, r spectively.

Energy Management Strategy
In the previous chapter, the details of the structure and working principle were presented. The proposed system is divided into 3 operation functions: normal mode, energy regeneration mode and energy reuse mode. With different working modes, the system needs a control strategy to operate the system safely and effectively.
The control strategy for the proposed system is shown in Figure 6. When the system starts to operate, the system initial parameters are set to keep the current state. The operator controls the boom cylinder by using the joystick signal. We assume that the negative and positive joystick signal corresponds to the boom cylinder moving down and up, respectively.

Control Strategy of Boom down Process
In the boom moving down the process, the control strategy is designed based on the state of charge of the battery (SOC bat ). During this operation, the battery works in the charging mode. Therefore, the overcharge phenomenon should be avoided because of damaging and reducing the lifetime of the device. The maximum SOC bat is chosen to be 0.9 to have a remaining capacity amount of the battery. If the SOC bat is lower than the maximum value, the energy regeneration mode is activated. The hydraulic power in the bore chamber is converted to the electrical power and stored in the battery. If the SOC bat is higher than the maximum value, the overcharge phenomenon may occur. Therefore, the normal mode is set to work.

Control Strategy of Boom up Process
In the boom moving up the process, the control strategy is designed based on the state of charge of the battery (SOC bat ) and load condition. If the load condition is too high, the big size of the electrical motor/generator has to be integrated to provide enough torque requirement to lift the load. Besides, the battery supplies more power to the system. The SOC bat is quickly decreased and may result in insufficient energy to be reused for subsequent cycles. Based on these reasons, without load condition and if the SOC bat is higher than 0.2, the energy reuse mode is activated. In the case of load condition or SOC bat being lower than 0.2, the boom moves up in the normal mode.

Control Strategy of Boom down Process
In the boom moving down the process, the control strategy is designed based on the state of charge of the battery (SOCbat). During this operation, the battery works in the charging mode. Therefore, the overcharge phenomenon should be avoided because of damaging and reducing the lifetime of the device. The maximum SOCbat is chosen to be 0.9 to have a remaining capacity amount of the battery. If the SOCbat is lower than the maximum value, the energy regeneration mode is activated. The hydraulic power in the bore chamber is converted to the electrical power and stored in the battery. If the SOCbat is higher than the maximum value, the overcharge phenomenon may occur. Therefore, the normal mode is set to work.

Control Strategy of Boom up Process
In the boom moving up the process, the control strategy is designed based on the state of charge of the battery (SOCbat) and load condition. If the load condition is too high, the big size of the electrical motor/generator has to be integrated to provide enough torque requirement to lift the load. Besides, the battery supplies more power to the system. The SOCbat is quickly decreased and may result in insufficient energy to be reused for subsequent cycles. Based on these reasons, without load condition and if the SOCbat is higher

Displacement Tracking Control Based on Discrete Time-Optimal Control
Although a typical working cycle of excavators is approximately 20 s, the amount of time available to harvest the potential energy of the boom cylinder is just about 3 s [20]. Therefore, it is evident that both tracking accuracy and convergence time are crucial in automatic control scenarios. A famous solution to the problem of time-optimal control is the Continuous Time-Optimal Control (CTOC) also well-known as the Bang-Bang control algorithm. It regulates the target system in such way that the setpoint could be efficiently reached in the shortest time possible. Its formula is as simple as below.
where u, e and .
x are the control signal, position tracking error and velocity, respectively. However, this control strategy exhibits serious chattering in the control signal that, consequently, hinders its potential in practical applications. To overcome this shortcoming, a remedy was then given in [24], namely Discrete Time-Optimal Control (DTOC) [25,26]. The controller is believed to successfully resolve the undesired chattering issue without making a compromise with the system performance. Two DTOC controllers were designed for controlling the main valve V1 and electric motor/generator corresponding to the normal and regeneration/reuse modes as shown in Figure 7. The DTOC algorithm, which can be easily accomplished by a digital computer, is briefly presented as follows.
where r is actuator saturation limit, h is the sampling period, and d, d 0 , a, a 0 are temporary variables.

Displacement Tracking Control Based on Discrete Time-optimal Control
Although a typical working cycle of excavators is approximately 20 s, the amount of time available to harvest the potential energy of the boom cylinder is just about 3 s [20]. Therefore, it is evident that both tracking accuracy and convergence time are crucial in automatic control scenarios. A famous solution to the problem of time-optimal control is the Continuous Time-Optimal Control (CTOC) also well-known as the Bang-Bang control algorithm. It regulates the target system in such way that the setpoint could be efficiently reached in the shortest time possible. Its formula is as simple as below.
, 2 x x u r sign e u r r where u , e and x  are the control signal, position tracking error and velocity, respectively. However, this control strategy exhibits serious chattering in the control signal that, consequently, hinders its potential in practical applications. To overcome this shortcoming, a remedy was then given in [24], namely Discrete Time-Optimal Control (DTOC) [25,26]. The controller is believed to successfully resolve the undesired chattering issue without making a compromise with the system performance. Two DTOC controllers were designed for controlling the main valve V1 and electric motor/generator corresponding to the normal and regeneration/reuse modes as shown in Figure 7. The DTOC algorithm, which can be easily accomplished by a digital computer, is briefly presented as follows.
where r is actuator saturation limit, h is the sampling period, and  With the designed control strategy, the system can operate safely and effectively. The devices in the system are selected with a suitable size to avoid the high cost of the system. The battery is maintained operating in the ideal area to prevent damage and shorten life. Besides, the displacement and velocity of the boom cylinder can achieve good tracking performance.

Simulation Results
In order to completely validate the effectiveness of the proposed ERS, the co-simulation model was built in the LMS AMESim software (2019a) and Matlab 2017a as shown in Figure 8. In details, the hydraulic components are presented in blue blocks, the mechanical parts are simulated by the green blocks and the electrical devices are illustrated in the purple block, the control signals are expressed via the red functions. Two simulation software were communicated via S-Function. The configuration parameters of the proposed system are shown in Table 1. The used electric motor/generator is reversible; it can work either as a motor or as a generator. Using the motor convention, the rotor relative speed can be measured with W as an output speed at the mechanical port, and the torque can be measured with T as an output torque at the mechanical port. When W and T are of same sign, the machine is working as a motor, and the output mechanical power P is positive. When W and T are of opposite sign, the machine is working as a generator and the output mechanical power P is negative as shown in Figure 9. To meet the requirements of the energy management strategy, the initial SOC of battery is chosen 0.6. This parameter will vary depending on the energy regeneration mode or energy reuse mode during operation. The number of cells in series determines the current and voltage of the battery. If the voltage and current are too big, they can damage the device and endanger the operator. The number of cells in parallel determines the capacity of the battery. This parameter is selected to suit the excavator operating for a long period of time without exceeding the threshold limit in energy management strategy.
The displacement, displacement error, and load force condition of the boom cylinder are shown in Figure 10. From the 0 s to 8 s, the system run in the normal mode. The boom cylinder took three seconds to reach 0.9 m and took more than 3 s to fully retract. In the next cycle, the boom cylinder worked in the energy regeneration mode. During the extension process, the cylinder was supplied the flow rate from the main pump. From 15 s, the boom cylinder moved down, and the potential energy in the bore chamber was converted to electrical energy via the energy conversion components. In the final cycles, the hydraulic power was supplied by the electrical motor/generator and hydraulic pump/motor. Besides, to show the effectiveness of the proposed energy management strategy based on the DTOC controller, a simulation comparison with energy management strategy based on the CTOC controller was made. The CTOC controller could achieve a smaller error than DTOC controller during the normal mode operation. However, DTOC controller reduced the chartering phenomenon and helped the boom cylinder smoothly moving which clearly be shown in the control signal in Figure 10a. During the regeneration mode, the DTOC could give a more suitable signal, making the cylinder closer to the desired position from 41 s to 43 s. In addition, it could be seen that the control by the main valve helped the cylinder have better performance than the control by the generator. However, the error when controlled by the generator was also small in about 6% as shown in Figure 10b. This was an acceptable error in the boom system. The control signals were within the allowable working range of each device as shown in Figure 11. Therefore, these results proved that the control strategy could ensure the system to operate safely and accurately.
With the designed control strategy, the system can operate safely and effectively devices in the system are selected with a suitable size to avoid the high cost of the sy The battery is maintained operating in the ideal area to prevent damage and shorte Besides, the displacement and velocity of the boom cylinder can achieve good tra performance.

Simulation Results
In order to completely validate the effectiveness of the proposed ERS, the co-sim tion model was built in the LMS AMESim software (2019a) and Matlab 2017a as sho Figure 8. In details, the hydraulic components are presented in blue blocks, the mecha parts are simulated by the green blocks and the electrical devices are illustrated i purple block, the control signals are expressed via the red functions. Two simulation ware were communicated via S-Function. The configuration parameters of the prop system are shown in Table 1. The used electric motor/generator is reversible; it can either as a motor or as a generator. Using the motor convention, the rotor relative s can be measured with W as an output speed at the mechanical port, and the torque c measured with T as an output torque at the mechanical port. When W and T are of sign, the machine is working as a motor, and the output mechanical power P is pos When W and T are of opposite sign, the machine is working as a generator and the o mechanical power P is negative as shown in Figure 9. To meet the requirements o energy management strategy, the initial SOC of battery is chosen 0.6. This paramete vary depending on the energy regeneration mode or energy reuse mode during oper The number of cells in series determines the current and voltage of the battery. If the age and current are too big, they can damage the device and endanger the operator number of cells in parallel determines the capacity of the battery. This parameter lected to suit the excavator operating for a long period of time without exceedin threshold limit in energy management strategy.  Pm>0 Nm rev/min  The displacement, displacement error, and load force condition of the bo are shown in Figure 10. From the 0 s to 8 s, the system run in the normal mod cylinder took three seconds to reach 0.9 m and took more than 3 s to fully r next cycle, the boom cylinder worked in the energy regeneration mode. Duri  from 41 s to 43 s. In addition, it could be seen that the control by the main valve helped the cylinder have better performance than the control by the generator. However, the error when controlled by the generator was also small in about 6% as shown in Figure 10b. This was an acceptable error in the boom system. The control signals were within the allowable working range of each device as shown in Figure 11. Therefore, these results proved that the control strategy could ensure the system to operate safely and accurately.    Figure 12 showed the pressure and flow rate of the boom cylinder. During the operation, the maximum volume that flows into the chamber was 38 lpm. The pressure of the boom cylinder was 135 bar in the load condition. The speed and torque of the electrical motor/generator were presented in Figure 13. The speed and torque were different signs when the electric motor/generator operated in the generator mode to recover energy. From the 32 s to 43 s, the electrical motor/generator worked in the motor function. There-  Figure 12 showed the pressure and flow rate of the boom cylinder. During the operation, the maximum volume that flows into the chamber was 38 lpm. The pressure of the boom cylinder was 135 bar in the load condition. The speed and torque of the electrical motor/generator were presented in Figure 13. The speed and torque were different signs when the electric motor/generator operated in the generator mode to recover energy. From the 32 s to 43 s, the electrical motor/generator worked in the motor function. Therefore, the speed and torque were the same signs. The highest torque and speed of the electrical motor/generator were 400 rpm and 200 Nm in the energy reuse mode. In addition, the voltage and current of the battery were shown in Figure 14. Then, the regenerated energy of the proposed system could be estimated.
(a) (b) Figure 11. Comparison control signal of each valve (a) and torque command (b). Figure 12 showed the pressure and flow rate of the boom cylinder. During the operation, the maximum volume that flows into the chamber was 38 lpm. The pressure of the boom cylinder was 135 bar in the load condition. The speed and torque of the electrical motor/generator were presented in Figure 13. The speed and torque were different signs when the electric motor/generator operated in the generator mode to recover energy. From the 32 s to 43 s, the electrical motor/generator worked in the motor function. Therefore, the speed and torque were the same signs. The highest torque and speed of the electrical motor/generator were 400 rpm and 200 Nm in the energy reuse mode. In addition, the voltage and current of the battery were shown in Figure 14. Then, the regenerated energy of the proposed system could be estimated.   The potential energy can be calculated as shown in Equation (3).
where the Ep, pc and qc are the potential energy, pressure and flow rate of the bore chamber, respectively. The hydraulic energy was converted to the electrical energy and stored in the battery. The regenerated energy can be calculated as shown in Equation (4). The potential energy can be calculated as shown in Equation (3).
where the E p , p c and q c are the potential energy, pressure and flow rate of the bore chamber, respectively. The hydraulic energy was converted to the electrical energy and stored in the battery. The regenerated energy can be calculated as shown in Equation (4).
where the E r , U r , and I r are the regenerated energy, voltage and current of the battery. The energy efficiency of the proposed ERS can be calculated as follows: Based on the above equations, Figure 15 showed the energy analysis of the proposed ERS. From the simulation results, the potential energy and regenerated energy were 24.9 kJ and 10.956 kJ. Then, the energy regeneration efficiency of the system could achieve 44%. Based on the above equations, Figure 15 showed the energy analysis of the proposed ERS. From the simulation results, the potential energy and regenerated energy were 24.9 kJ and 10.956 kJ. Then, the energy regeneration efficiency of the system could achieve 44%. A comparison energy consumption of the conventional ERS and proposed ERS was shown in Figure 16. The result showed that with the reuse mode, the proposed ERS could lift up the boom cylinder without flow rate from the main pump by using the stored energy in the battery through the energy conversion components in case of no load. The A comparison energy consumption of the conventional ERS and proposed ERS was shown in Figure 16. The result showed that with the reuse mode, the proposed ERS could lift up the boom cylinder without flow rate from the main pump by using the stored energy in the battery through the energy conversion components in case of no load. The energy that could be saved through the use of regenerated energy from the boom cylinder was 88.74 kJ. Through all the results, it can be seen that the proposed system could work in different operation modes with each working requirement to be able to recover and reuse energy efficiently, along with accuracy and stable based on the proposed energy management strategy. A comparison energy consumption of the conventional ERS and proposed ERS w shown in Figure 16. The result showed that with the reuse mode, the proposed ERS cou lift up the boom cylinder without flow rate from the main pump by using the stored e ergy in the battery through the energy conversion components in case of no load. Th energy that could be saved through the use of regenerated energy from the boom cylind was 88.74 kJ. Through all the results, it can be seen that the proposed system could wo in different operation modes with each working requirement to be able to recover an reuse energy efficiently, along with accuracy and stable based on the proposed energ management strategy.

Conclusions
This paper presented a boom energy regeneration system which regenerated the potential energy from the bore chamber of the boom cylinder and reused the stored energy in the next cycles. The proposed ERS used energy conversion components which included an electrical motor/generator, and a hydraulic pump/motor could work in three operation modes: normal mode, energy regeneration mode, and especially the energy reuse mode which is often neglected in previous studies. To operate the system safely and accurately, an energy management strategy with DTOC controllers is designed based on the load condition and SOC of battery. An AMESim simulation model was built to validate the effectiveness of the proposed system. The results proved that the system could work well with the proposed energy management strategy. The error of the cylinder displacement and the reference signal was in the range 0.08 m. The energy regeneration efficiency of the system could reach 44%. Moreover, the energy reuse mode has also been proven, the cylinder can lift in the no-load condition without power from the main pump by using the stored energy in the battery through the energy conversion components. Then, the energy consumption of the system was reduced up to 88.74 kJ. In future work, a real test bench will be built. Besides, an energy management strategy with optimization methods will be applied to the proposed system to enhance energy efficiency.  Data Availability Statement: Thank you very much. We have understood and agreed to the policies of the MDPI publisher.

Conflicts of Interest:
The authors declare no conflict of interest.