Lithium-Ion Capacitor Lifetime Extension through an Optimal Thermal Management System for Smart Grid Applications

: A lithium-ion capacitor (LiC) is one of the most promising technologies for grid applications, which combines the energy storage mechanism of an electric double-layer capacitor (EDLC) and a lithium-ion battery (LiB). This article presents an optimal thermal management system (TMS) to extend the end of life (EoL) of LiC technology considering different active and passive cooling methods. The impact of different operating conditions and stress factors such as high temperature on the LiC capacity degradation is investigated. Later, optimal passive TMS employing a heat pipe cooling system (HPCS) is developed to control the LiC cell temperature. Finally, the effect of the proposed TMS on the lifetime extension of the LiC is explained. Moreover, this trend is compared to the active cooling system using liquid-cooled TMS (LCTMS). The results demonstrate that the LiC cell temperature can be controlled by employing a proper TMS during the cycle aging test under 150 A current rate. The cell’s top surface temperature is reduced by 11.7% using the HPCS. Moreover, by controlling the temperature of the cell at around 32.5 and 48.8 ◦ C, the lifetime of the LiC would be extended by 51.7% and 16.5%, respectively, compared to the cycling of the LiC under natural convection (NC). In addition, the capacity degradation for the NC, HPCS, and LCTMS case studies are 90.4%, 92.5%, and 94.2%, respectively.


Introduction
Recently, the growth of electric vehicles (EVs) and hybrid electric vehicles (HEVs) has been significantly enhanced due to the reduction of emissions and the beneficial impacts on global warming [1]. Electrical energy storage systems that are known as batteries are the most crucial part of EVs and HEVs [2]. Among all types of batteries, lithium-ion batteries (LiB) are popular due to their high energy density and long cyclic life [3]. However, LiBs produce excessive heat during charging/discharging, and their capacities are highly temperature-dependent [4]. Therefore, LiBs suffer from lifetime degradation when used as a simultaneously efficient energy source in high temperatures [5].
On the other hand, electric double-layer capacitors (EDLC) are high power energy storage systems with long lifetime, but they suffer from low energy density [6]. Therefore, lithium-ion capacitors (LiC) have been revealed and commercialized by several manufacturers that combine favorable properties of EDLCs and LiBs [7]. Generally, the LiC has longer cycle life and higher power density compared to LiBs [8]. The LiC is an ideal choice for many applications, comprising HEVs and EVs for peak power shaving [9], regenerative braking [10], and grid applications [11]. the degradation of the LiCs is the empirical approach in which real-life tests would be performed at various operating conditions. Then, the capacity fade of the cell is estimated by extrapolation employing curve fitting techniques. The fitted capacity degradation trend can be a logarithmic, exponential, or polynomial equation, which is an acceptable fit for the current state, but the prediction of the future state might be unacceptable for some cases [33]. The impact of active and passive TMSs on the lifetime of the LiC cell is studied in this work, and evaluation of the degradation behavior in three use cases is analyzed using the curve fitting technique to accurately predict the capacity degradation trend for the current state and the future state of all three use cases.
In this research article, the proposed TMS is a heat pipe cooling system (HPCS) designed to control the temperature evolution of the LiC. To the authors' best knowledge, this is the first time that HPCS is cooling a LiC cell. Therefore, the paper's novelty lies in the proposed TMS to keep the LiC temperature at the desired range. Besides, in the current study, the lifetime of the LiC has been investigated using the HPCS.
Moreover, a compact and optimized liquid-cooled TMS (LCTMS) from our previous work is utilized to investigate the impact of an active cooling system on the capacity degradation of the LiC. The lifetime testing of the cell is performed using a 150 A charge/discharge current rate without pause. Hence, three scenarios are studied: cycling the cell under natural convection (NC), cycling the cell when the cell is being cooled by HPCS, and cycling the cell when the LCTMS is employed. The influence of these three scenarios on the end of life (EoL) degradation of the LiC is studied and compared to understand how the lifetime of the LiC can be extended using an optimal TMS.

Experimental Methodology
A passive TMS is employed for this study to absorb the generated heat of the LiC cell during the continuous 150 A charge/discharge current rate, which can be considered as a high-duty driving cycle. The LiC cell is a commercial 2300 F prismatic cell manufactured by JSR Company, promising energy storage for grid applications. It should be mentioned that F is the Faraday constant, which is the magnitude of electric charge per mole of electrons.

Lithium-Ion Capacitor (LiC) Technology
The LiC technology is a hybrid energy storage system consisting of doped graphite similar to LiBs anode material, activated carbon (AC) like EDLCs cathode material, and an organic electrolyte [12]. Based on this hybridization, the benefits of EDLCs such as long life and high specific power, and advantages of LiBs such as high specific Energy make LiCs a promising technology for grid applications. Anode and cathode materials, pre-lithiation of the anode, electrode configurations, and electrolyte types are among the main factors that affect the performance of LiCs [34]. Thermo-physical properties of the investigated LiC cell are listed in Table 1.  Figure 1 exhibits the HPCS for the prismatic 2300 F LiC cell and the related dimensions. In this cooling system, four flat heat pipes manufactured by Digi-Key Electronics are used, in which two heat pipes are utilized on each side of the LiC cell (four heat pipes in total) because the most heat generation zones are close to the cell tabs. The characteristics of the utilized heat pipe are listed in Table 2. The proposed TMS using HPCS absorbs the generated heat by the LiC and transfers it to the ambient. Moreover, since the heat pipes are in direct contact with the cell, a thin layer of thermal interface material (TIM) is applied to fill the gaps between the cell and the heat pipes. Using the TIM decreases the thermal contact resistance and avoids the production of substantial thermal barriers. The proposed TMS is developed to cool down the LiC cell during an intense 150 A charge/discharge cycling regime.
When the cell is cycled, the heat is generated inside the LiC cell. This generated heat is transferred from the evaporator to the condenser section of the heat pipes through conduction. Then, the heat is removed from the condenser section to the ambient through convection. To investigate the performance of the proposed TMS, two scenarios have been conducted. The first scenario deals with analyzing the LiC cell's thermal behavior under NC without using any cooling system. The second scenario investigates the thermal behavior of the LiC cell considering the proposed TMS using HPCS. After evaluating the positive impacts of the second scenario, the effect of the proposed TMS on the cell's lifetime is studied.  Figure 1 exhibits the HPCS for the prismatic 2300 F LiC cell and the related dimensions. In this cooling system, four flat heat pipes manufactured by Digi-Key Electronics are used, in which two heat pipes are utilized on each side of the LiC cell (four heat pipes in total) because the most heat generation zones are close to the cell tabs. The characteristics of the utilized heat pipe are listed in Table 2. The proposed TMS using HPCS absorbs the generated heat by the LiC and transfers it to the ambient. Moreover, since the heat pipes are in direct contact with the cell, a thin layer of thermal interface material (TIM) is applied to fill the gaps between the cell and the heat pipes. Using the TIM decreases the thermal contact resistance and avoids the production of substantial thermal barriers. The proposed TMS is developed to cool down the LiC cell during an intense 150 A charge/discharge cycling regime.
When the cell is cycled, the heat is generated inside the LiC cell. This generated heat is transferred from the evaporator to the condenser section of the heat pipes through conduction. Then, the heat is removed from the condenser section to the ambient through convection. To investigate the performance of the proposed TMS, two scenarios have been conducted. The first scenario deals with analyzing the LiC cell's thermal behavior under NC without using any cooling system. The second scenario investigates the thermal behavior of the LiC cell considering the proposed TMS using HPCS. After evaluating the positive impacts of the second scenario, the effect of the proposed TMS on the cell's lifetime is studied.

Experimental Test Bench
The prismatic LiC cell is embedded with HPCS to develop a passive cooling system with high-temperature uniformity. The main investigation on the HPCS is carried out as follows. Four flat heat pipes were used, in which there are an evaporator section and two condenser sections. It has been proven that heat pipes' thermal performance would be enhanced by increasing the number of condenser sections [35]. The experimental test bench was developed to study the cooling effect of the TMS using HPCS to extend the LiC cell's lifetime when being charged/discharged at 150 A current rate.
The schematic of the experimental test bench is exhibited in Figure 2. The experimental test bench comprises a prismatic LiC cell, four flat heat pipes, the PEC SBT05250L tester, a data logger, a thermal camera, three k-type thermocouples, and a computer to monitor and save the data from the data logger. The thermocouples are calibrated with an error of ±0.2 • C. The PEC SBT05250L tester is cycling the cell to gather the needed data thanks to the connected computer. Employing this experimental test bench allows monitoring the current, voltage, and temperature of the cell. The thermocouples were placed in three different parts of the cell to sense the temperature. Moreover, the cell is put inside a room with a controlled constant temperature of 23 • C. The cycling of the LiC cell is conducted at a high current rate of 150 A.
Moreover, based on the Schultz and Cole method, the uncertainty of the experimental test can be expressed as follows [36]: where U V I denotes the error of every single factor and U R stands for total errors. The maximum uncertainty is expressed in percentage, which was calculated as 2.01%. Operating temperature 30 to 120 °C Effective length 125 mm

Experimental Test Bench
The prismatic LiC cell is embedded with HPCS to develop a passive cooling system with high-temperature uniformity. The main investigation on the HPCS is carried out as follows. Four flat heat pipes were used, in which there are an evaporator section and two condenser sections. It has been proven that heat pipes' thermal performance would be enhanced by increasing the number of condenser sections [35]. The experimental test bench was developed to study the cooling effect of the TMS using HPCS to extend the LiC cell's lifetime when being charged/discharged at 150 A current rate.
The schematic of the experimental test bench is exhibited in Figure 2. The experimental test bench comprises a prismatic LiC cell, four flat heat pipes, the PEC SBT05250L tester, a data logger, a thermal camera, three k-type thermocouples, and a computer to monitor and save the data from the data logger. The thermocouples are calibrated with an error of ±0.2 °C. The PEC SBT05250L tester is cycling the cell to gather the needed data thanks to the connected computer. Employing this experimental test bench allows monitoring the current, voltage, and temperature of the cell. The thermocouples were placed in three different parts of the cell to sense the temperature. Moreover, the cell is put inside a room with a controlled constant temperature of 23 °C. The cycling of the LiC cell is conducted at a high current rate of 150 A.
Moreover, based on the Schultz and Cole method, the uncertainty of the experimental test can be expressed as follows [36]: where denotes the error of every single factor and stands for total errors. The maximum uncertainty is expressed in percentage, which was calculated as 2.01%.

Test Definition and Setup
The characterization is the first essential step to identify the LiC cell parameters. Therefore, some tests should be carried out to characterize the cell under some predefined conditions. The electro-thermal tests are conducted employing the battery cycler and the climate chamber. The experimental process consists of a pre-conditioning test, capacity test, open-circuit voltage (OCV) test, hybrid pulse power characterization (HPPC) test, and validation test [7]. Figure 3 presents one period of the load profile used for the cycle aging test of the LiC under 150 A current rate.

Test Definition and Setup
The characterization is the first essential step to identify the LiC cell parameters. Therefore, some tests should be carried out to characterize the cell under some predefined conditions. The electro-thermal tests are conducted employing the battery cycler and the climate chamber. The experimental process consists of a pre-conditioning test, capacity test, open-circuit voltage (OCV) test, hybrid pulse power characterization (HPPC) test, and validation test [7]. Figure 3 presents one period of the load profile used for the cycle aging test of the LiC under 150 A current rate.

Experimental Results
The experimental results of the tested scenarios are explained in this section. The first scenario deals with the temperature profile of the cell under NC at an initial temperature of 23 °C. Therefore, in this scenario, the cell's temperature contour is achieved under NC (buoyancy-driven convection) without employing any TMS. This method is regularly used for cooling systems of electronic devices. Moreover, utilizing this method would mean no additional tools that save the system's energy, volume, and cost by eliminating the maintenance cost. Nonetheless, this method's thermal performance is relatively low and needs to be further improved. To investigate the performance of this scenario, the LiC cell is cycled under NC with 150 A current rate at room temperature of 23 °C.
The temperature variation of the LiC cell in the NC method is illustrated in Figure 4. One thermocouple is placed in the top center of the cell (T1), while two other thermocouples are placed in the edge and center middle of the LiC cell (T2 and T3). As is evident, the temperature evolution of the T1 thermocouple is higher than the T2 and T3 thermocouples, which shows that the temperature is higher near the top and center of the cell compared to the other lower parts of the cell. According to Figure 4, the maximum LiC cell temperature through NC in 1400 s reaches 55.3, 52.3, and 51.7 °C for T1, T2, and T3 thermocouples, respectively. This high temperature goes beyond the recommended temperature announced by the manufacturer. Therefore, there is a crucial need to propose a proper TMS to extend the cell's lifetime.

Experimental Results
The experimental results of the tested scenarios are explained in this section. The first scenario deals with the temperature profile of the cell under NC at an initial temperature of 23 • C. Therefore, in this scenario, the cell's temperature contour is achieved under NC (buoyancy-driven convection) without employing any TMS. This method is regularly used for cooling systems of electronic devices. Moreover, utilizing this method would mean no additional tools that save the system's energy, volume, and cost by eliminating the maintenance cost. Nonetheless, this method's thermal performance is relatively low and needs to be further improved. To investigate the performance of this scenario, the LiC cell is cycled under NC with 150 A current rate at room temperature of 23 • C.
The temperature variation of the LiC cell in the NC method is illustrated in Figure 4. One thermocouple is placed in the top center of the cell (T 1 ), while two other thermocouples are placed in the edge and center middle of the LiC cell (T 2 and T 3 ). As is evident, the temperature evolution of the T 1 thermocouple is higher than the T 2 and T 3 thermocouples, which shows that the temperature is higher near the top and center of the cell compared to the other lower parts of the cell. According to Figure 4, the maximum LiC cell temperature through NC in 1400 s reaches 55.3, 52.3, and 51.7 • C for T 1 , T 2 , and T 3 thermocouples, respectively. This high temperature goes beyond the recommended temperature announced by the manufacturer. Therefore, there is a crucial need to propose a proper TMS to extend the cell's lifetime.  In the second scenario, the cell is placed between four heat pipes to investigate the thermal performance of the HPCS. The initial temperature is 23 °C, the same as the NC. Figure 5 demonstrates the temperature distribution of the cell during the 150 A charge/discharge cycling regime. In practice, the HPCS has a relatively good impact on the temperature contour of the cell. The T1 thermocouple reaches 48.8 °C, while T2 and T3 thermocouples monitor 47.5 and 48.4 °C, respectively. Moreover, the temperature evolution trend for all the thermocouples is almost the same. Table 3 illustrates the comparison study of the thermocouples' cell temperatures for both the scenarios with TMS and without TMS under NC. As can be seen, the proposed HPCS can cool down the temperature between 7.5% and 11.7%, depending on the thermocouples' position. Moreover, the temperature uniformity of the cell was enhanced. The temperature difference between T1 and T3 for the first scenario (the cell temperature under NC) is about 3.6°C, but in the second scenario (the cell temperature after being cooled by the HPCS TMS) is about 1.3 °C. Thus, a significant improvement in the temperature uniformity in the cell surface can be observed. The reason behind this is the continuous absorption of the generated heat by the HPCS. This absorbed heat is transferred to the environment immediately.   In the second scenario, the cell is placed between four heat pipes to investigate the thermal performance of the HPCS. The initial temperature is 23 • C, the same as the NC. Figure 5 demonstrates the temperature distribution of the cell during the 150 A charge/discharge cycling regime. In practice, the HPCS has a relatively good impact on the temperature contour of the cell. The T 1 thermocouple reaches 48.8 • C, while T 2 and T 3 thermocouples monitor 47.5 and 48.4 • C, respectively. Moreover, the temperature evolution trend for all the thermocouples is almost the same. Table 3 illustrates the comparison study of the thermocouples' cell temperatures for both the scenarios with TMS and without TMS under NC. As can be seen, the proposed HPCS can cool down the temperature between 7.5% and 11.7%, depending on the thermocouples' position. Moreover, the temperature uniformity of the cell was enhanced. The temperature difference between T1 and T3 for the first scenario (the cell temperature under NC) is about 3.6 • C, but in the second scenario (the cell temperature after being cooled by the HPCS TMS) is about 1.3 • C. Thus, a significant improvement in the temperature uniformity in the cell surface can be observed. The reason behind this is the continuous absorption of the generated heat by the HPCS. This absorbed heat is transferred to the environment immediately.  In the second scenario, the cell is placed between four heat pipes to investigate the thermal performance of the HPCS. The initial temperature is 23 °C, the same as the NC. Figure 5 demonstrates the temperature distribution of the cell during the 150 A charge/discharge cycling regime. In practice, the HPCS has a relatively good impact on the temperature contour of the cell. The T1 thermocouple reaches 48.8 °C, while T2 and T3 thermocouples monitor 47.5 and 48.4 °C, respectively. Moreover, the temperature evolution trend for all the thermocouples is almost the same. Table 3 illustrates the comparison study of the thermocouples' cell temperatures for both the scenarios with TMS and without TMS under NC. As can be seen, the proposed HPCS can cool down the temperature between 7.5% and 11.7%, depending on the thermocouples' position. Moreover, the temperature uniformity of the cell was enhanced. The temperature difference between T1 and T3 for the first scenario (the cell temperature under NC) is about 3.6°C, but in the second scenario (the cell temperature after being cooled by the HPCS TMS) is about 1.3 °C. Thus, a significant improvement in the temperature uniformity in the cell surface can be observed. The reason behind this is the continuous absorption of the generated heat by the HPCS. This absorbed heat is transferred to the environment immediately.

The LiC Cycle Life Analysis and Results
The cycling test for the LiC cell is performed using a 150 A charge/discharge current rate in three different use cases. The first case study is cycling the cell when there is no cooling system and the cell is under NC. The second case study is to cycle the cell when HPCS is employed as TMS, and the third case study uses the results of our last work [7] that used the LCTMS to control the LiC temperature during 150 A cycling regime. Therefore, in this work, the authors studied three case studies that two of which are novel, and one of them is from the previous work [7].
The long-term aging investigation has been performed for more than a year under controlled environmental conditions. The intermediate check-up responses are tracked to understand the LiC cell degradation. The effect of these three case studies on the capacity face is studied to investigate the influence of controlling the temperature using a proper TMS on the lifetime extension of the LiC.

Equivalent Number of Cycles
One of the most acceptable methods to convert the capacity loss results to a standard scale is the equivalent number of cycles, which can be explained as the number of effective cycles at nominal conditions when the cell is fresh [37]: where N eq−cycles , E discharge_actual , and E discharge_nominal denote the equivalent number of cycles, actual discharge energy during 150 A charge/discharge cycling regime, and nominal discharge energy at nominal current when the cell is fresh, respectively.

Capacity Degradation
The capacity degradation trend for three different case studies is shown in Figure 6. As is evident, capacity degradation depends on the temperature of the cell. The monitored temperature for the NC case study, the HPCS case study, and the LCTMS case study at the end of experimental test studies are 55.3, 48.8, and 32.5 • C, respectively. Therefore, a lower temperature is more favorable for a high current rate of 150 A charge/discharge load profile since cycling at such a low operating temperature exhibits better performance than higher working temperatures in terms of capacity degradation.
Considering the effects of temperature on the electrochemical performance of the cell components, it can be explained that the application of a more efficient TMS has decreased the operational temperature further and consequently the progression of disruptive mechanisms, which has led to lower capacity degradation within the performed cycles.
Moreover, the capacity degradation for the NC, HPCS, and LCTMS case studies are 90.4%, 92.5%, and 94.2%, respectively. This trend shows that using the passive cooling system (HPCS) as a proper TMS can significantly enhance the capacity retention around 2.1% for 4 × 10 5 equivalent number of cycles. Moreover, employing the active cooling system (LCTMS) can improve the capacity retention up to 3.8% for 4 × 10 5 equivalent number of cycles. The table proves that a robust active/passive TMS that can keep the temperature of the cell in a safe working limit is vital to extend the lifetime of the LiC technology. Table 4 lists the capacity degradation for three case studies.   Lifetime testing of LiCs under real-time conditions is impractical due to these energy storage systems' long cycle life. Therefore, the best method based on an empirical approach would be testing the cell under different working conditions and estimating the end of life of the LiC using fitting techniques. The curve fitting techniques employ the cell's current state to estimate the future state using different equations such as Gaussian, Fourier, the sum of sine, exponential, logarithmic, and polynomial equations. After fitting the degradation trend with the mentioned equations, the most trustable prediction trend should be selected for the degradation behavior's future state.
There are two standard methods for curve fitting. The first method fits the curve based on all the experimental data from the first point to the endpoint, while the second method fits the curve on the part of a trend that the curve becomes stable. The first method is not practical since the fitted equation may mis-predict the end of life (EoL). The second method is more trustable because the predicted EoL would be based on the steady-state conditions. As shown in Figure 6, the LiC experiences two clear phases during the cycle aging tests. The first phase has a steep degradation trend when the capacity drops drastically in a short period. This could result from the loss of lithium inventory due to the initial solid electrolyte interface (SEI) formation at the electrode/electrolyte interface. Gassing formation is also reported to be one of the reasons for degradation in the LTO-based cells. The second phase is steadier, in which loss of active material and the loss of lithium inventory take control slowly, and the capacity degradation trend becomes linear. This phase is more favorable for the EoL estimation since the capacity degradation trend corresponds to the typical long-life cycle of lithium capacitors.
An exponential equation is used to predict the end of life degradation of the LiC. The MATLAB software is employed to fit the curve based on the averaged parameters a, b, Lifetime testing of LiCs under real-time conditions is impractical due to these energy storage systems' long cycle life. Therefore, the best method based on an empirical approach would be testing the cell under different working conditions and estimating the end of life of the LiC using fitting techniques. The curve fitting techniques employ the cell's current state to estimate the future state using different equations such as Gaussian, Fourier, the sum of sine, exponential, logarithmic, and polynomial equations. After fitting the degradation trend with the mentioned equations, the most trustable prediction trend should be selected for the degradation behavior's future state.
There are two standard methods for curve fitting. The first method fits the curve based on all the experimental data from the first point to the endpoint, while the second method fits the curve on the part of a trend that the curve becomes stable. The first method is not practical since the fitted equation may mis-predict the end of life (EoL). The second method is more trustable because the predicted EoL would be based on the steady-state conditions. As shown in Figure 6, the LiC experiences two clear phases during the cycle aging tests. The first phase has a steep degradation trend when the capacity drops drastically in a short period. This could result from the loss of lithium inventory due to the initial solid electrolyte interface (SEI) formation at the electrode/electrolyte interface. Gassing formation is also reported to be one of the reasons for degradation in the LTO-based cells. The second phase is steadier, in which loss of active material and the loss of lithium inventory take control slowly, and the capacity degradation trend becomes linear. This phase is more favorable for the EoL estimation since the capacity degradation trend corresponds to the typical long-life cycle of lithium capacitors.
An exponential equation is used to predict the end of life degradation of the LiC. The MATLAB software is employed to fit the curve based on the averaged parameters a, b, and c. The parameters a and b are utilized to model the capacity degradation curve, and the parameter c is the constant term. The mathematical exponential equation explains the capacity fade characteristics of the LiC cell from the beginning of life (BoL) to the EoL. The exponential equation can be described as follows: where the exponential equation coefficients with 95% confidence bounds are presented in Table 5. The comprehensive experimental data from Figure 6 has been extended to the EoL degradation obtained from the curve fitting equation on the steady-state phase of the curve. A periodic exponential capacity degradation is revealed from Figure 7, fitted with the exponential capacity degradation equation, explained in equation 2. This trend is used for the life expectancy to estimate the end-of-life degradation of the LiC cell. The fitted curve and the predicted end of life degradation are exhibited in Figure 7. The experimental linear capacity degradation curve provided by the LiC manufacturer is in perfect match with the linear curve fitting of this work (for NC) [38]. Thus, it can be assumed that the longer lifetime claims for HPCS and LCTMS due to better thermal performance would match the reality accordingly.
The extrapolated EoL results are in accordance with what was observed from the experiment, and it could be explained that the temperature-dependent degradative mechanisms which had been started during the earlier cycles would happen further following the same trend within the upcoming cycles and the system in which the temperature is managed more efficiently would face slower capacity degradation and consequently can present a longer lifetime.
It is revealed from Figure 7 that EoL at 32.5 • C for 150 A charge/discharge cycle aging test in terms of capacity degradation is around 3.69 million eq-cycles. The LCTMS is used to maintain the temperature in such a good condition. For higher operating temperature at 48.8 • C, with the same load profile, the EoL in terms of capacity fade would be 2.13 million eq-cycles. The HPCS is employed to control the temperature in the desired range. Based on Table 6, if the cell is cycled under NC without using any cooling system, the cell's temperature goes beyond the safe limit (55.3 • C). In such a harsh condition, the cell is degraded faster, and the lifetime would be jeopardized (1.78 million cycles). In conclusion, the best operating temperature for the used load profile is 32.5 °C, which the lowest capacity fade can be observed. It is evident from the results that the end of life degradation in terms of capacity fade highlights the significance of controlling the temperature to extend the LiC cell lifetime. It can be concluded that by controlling the temperature of the cell at around 32.5 and 48.8 °C, the lifetime of the LiC would be extended by 51.7% and 16.5%, respectively, compared to the cycling of the LiC at 55.3 °C.

Conclusions
In this paper, an optimal TMS using a heat pipe cooling system (HPCS) has been developed for a prismatic 2300 F LiC technology to extend its lifetime and manage EoL degradation. The HPCS is able to control the temperature evolution of the cell during a 150 A charge/discharge current rate. Besides, a compact liquid-cooled TMS (LCTMS) was used to investigate the influence of temperature on LiC capacity fade. Three thermocouples (T1, T2, and T3) were employed to monitor the cell's temperature. The cell was cycled in three different scenarios: under natural convection (NC), using HPCS, and using LCTMS.
The results demonstrate that the LiC cell temperature through the NC scenario reaches 55.3, 52.3, and 51.7 °C for T1, T2, and T3 thermocouples, respectively. For the second scenario using HPCS as the TMS, the T1 thermocouple reaches 48.8 °C, while T2 and T3 thermocouples show 47.5 and 48.4 °C, respectively. The third scenario (LCTMS) keeps the temperature around 32.5 °C. The monitored temperatures in the three scenarios prove the need for an optimal TMS to control the LiC temperature in the desired range and manage the cell's life.
Furthermore, the capacity fade for the NC, HPCS, and LCTMS scenarios are meas- In conclusion, the best operating temperature for the used load profile is 32.5 • C, which the lowest capacity fade can be observed. It is evident from the results that the end of life degradation in terms of capacity fade highlights the significance of controlling the temperature to extend the LiC cell lifetime. It can be concluded that by controlling the temperature of the cell at around 32.5 and 48.8 • C, the lifetime of the LiC would be extended by 51.7% and 16.5%, respectively, compared to the cycling of the LiC at 55.3 • C.

Conclusions
In this paper, an optimal TMS using a heat pipe cooling system (HPCS) has been developed for a prismatic 2300 F LiC technology to extend its lifetime and manage EoL degradation. The HPCS is able to control the temperature evolution of the cell during a 150 A charge/discharge current rate. Besides, a compact liquid-cooled TMS (LCTMS) was used to investigate the influence of temperature on LiC capacity fade. Three thermocouples (T 1 , T 2 , and T 3 ) were employed to monitor the cell's temperature. The cell was cycled in three different scenarios: under natural convection (NC), using HPCS, and using LCTMS.
The results demonstrate that the LiC cell temperature through the NC scenario reaches 55.3, 52.3, and 51.7 • C for T 1 , T 2 , and T 3 thermocouples, respectively. For the second scenario using HPCS as the TMS, the T 1 thermocouple reaches 48.8 • C, while T 2 and T 3 thermocouples show 47.5 and 48.4 • C, respectively. The third scenario (LCTMS) keeps the temperature around 32.5 • C. The monitored temperatures in the three scenarios prove the need for an optimal TMS to control the LiC temperature in the desired range and manage the cell's life.
Furthermore, the capacity fade for the NC, HPCS, and LCTMS scenarios are measured 90.4%, 92.5%, and 94.2%, respectively, for 4 × 10 5 equivalent number of cycles. This trend explains that employing the HPCS improves the capacity retention around 2.1% for 4 × 10 5 equivalent number of cycles than the NC scenario. Besides, using the LCTMS enhances the capacity retention up to 3.8% for the same equivalent number of cycles. Estimation of the EoL degradation of the LiC was conducted using curve fitting techniques. Therefore, an exponential equation was employed to fit a curve based on the averaged parameters. At the end of the LiC cycle aging test, the fitted EoL in terms of capacity fade was 1.78 million cycles for the NC scenario. But EoL for HPCS and LCTMS scenarios was 2.13 and 3.69 million cycles, respectively, which proves that using a robust TMS can significantly extend the lifetime of the LiC by controlling the desired temperature range.
Future work should be adding the impact of the calendar life test to the cycling test for the LiC in different temperature conditions. This would be a time-consuming process since the degradation of the LiC by calendar test needs some years to be done.