Experimental Study on Heating Performances of Integrated Battery and HVAC System with Serial and Parallel Circuits for Electric Vehicle

The objective of the present study is to conduct experiments for investigating heating performances of integrated system with serial and parallel circuits for battery and heating ventilation and air conditioning system (HVAC) of electric vehicles under various operating conditions. In addition, the artificial neural network (ANN) model is proposed to accurately predict the heating performances of integrated system with serial and parallel circuits for battery and HVAC. A test bench of integrated system with serial and parallel circuits has been developed for establishing the trade-off between battery heating and HVAC heating. The heating performances namely, battery out temperature, battery temperature rise rate, battery heating capacity, HVAC heating capacity and total heating capacity are evaluated experimentally for the integrated system with serial and parallel circuits. The behavior of various heating performances is evaluated under influence of flow rate and heater power. Battery out temperature reaches 40 ◦C within 10 min with rise rate of 2.17 ◦C/min for the integrated system with serial circuit and that within 20 min with rise rate of 1.22 ◦C/min for the integrated system with parallel circuit. Integrated system with serial circuit shows higher HVAC heating capacity than integrated system with parallel circuit which are 5726.33 W and 3869.15 W, respectively. ANN model with back-propagation algorithm, Levenberg-Marquardt training variant, Tan-sigmoidal transfer function and 20 hidden neurons presents the accurate prediction of heating performances of the integrated system with serial and parallel circuits for battery and HVAC.


Introduction
In recent times, increasing demand of high energy efficiency and zero emission has resulted into shifting the major means of transportation towards the electric vehicle [1]. The low driving range and battery life are two major hurdles in the development of electric vehicles. The cabin is heated in winter using electric energy of the battery, which results into reduction in driving range of vehicle [2]. The charge-discharge performances of the batteries are degrading significantly as the temperature reduces. In cold weather conditions, to maintain the battery performance and battery life, effective battery thermal management in form of preheating of battery is essential [3]. Numerous studies have been conducted focusing on cabin heating and battery heating in cold weather conditions to improve the driving range and battery performance. Guo et al. presented effective heating for battery cell and battery pack using echelon internal heating strategy [4]. Ruan et al. developed an optimal internal heating strategy

Experimental Method
The experimental set-up of the integrated system with serial and parallel circuits is shown in Figure 1. To control the experimental ambient conditions, the experimental set-up is housed inside the psychrometric calorimeter which is controlled using PID controller. The experimental set-up comprises of serial and parallel circuits with components namely, battery, HVAC heater core, heater, water pump, working fluid tank, radiator, temperature sensors, flow meters and valves. The specifications of various components of experimental set-up are presented in Table 1. Both the circuits are operated using three valves, named valve1, valve2 and valve3. For the integrated system with serial circuit, valve1 and valve3 are cutoff and only valve2 is operated. Whereas, for the integrated system with parallel circuit, valve2 is cutoff and valve1 and valve3 are operated. The valve1 supplies working fluid for the battery heating and valve3 supplies working fluid for HVAC heating in the integrated system with parallel circuit. The battery is not the actual battery but the mimic of GM Volt (2010) battery model whose specifications are: weight = 198 kg, specific heat = 143 J/kg K and battery capacity = 16 kWh. The total working fluid flow rate of 24 L/min is divided for battery heating and HVAC heating in the integrated system with parallel circuit using valve1 and valve3. For the integrated system with parallel circuit, the flow ratio term is defined which is the ratio of battery flow rate to HVAC flow rate. In the case of an integrated system with serial circuit, full working fluid flow rate of 24 L/min is either supplied for battery heating or HVAC heating using valve2. The working of the integrated system with serial and parallel circuits involves a supply of working fluid using water pumped to a heater, where it is heated to higher temperature. From the heater, the heated working fluid is divided between the battery and HVAC in the case of an integrated system with a parallel circuit, and totally supplied for either the battery or HVAC in the case of an integrated system with serial circuit. The collected heated working fluid in tank is transferred through the radiator where it is cooled and again transferred to the heater using a water pump. To analyze the heating performances of the battery and HVAC, two modes (serial and parallel) of operation are employed. In addition, the heater power is varied as 2 kW, 4 kW and 6 kW in both the modes, and the flow ratio is varied as 2/8, 3/7, 5/5, 7/3 and 8/2 in a parallel mode of operation, to investigate the behavior of battery and HVAC heating performances. Battery out temperature, battery temperature rise rate, battery heating capacity, HVAC heating capacity and total heating capacity are investigated under various operating conditions. The accuracy of various experimental devices and instruments is shown in Table 2. Additionally, Figure 1b shows the picture of an experimental set-up of the integrated system with serial and parallel circuits.

Device/Instrument Accuracy
The poor calibration, instrumental errors, positional errors of probes, environmental error etc., are responsible for the uncertainty in the experimental results [33]. Therefore, the uncertainty analysis is conducted on the experimental results of the integrated system with serial and parallel circuits, to ensure the accuracy and reliability of the experimental test results [34]. The errors in experimental data of temperature and flow rate measurements cause uncertainties in the heating performances of battery and HVAC of the integrated system with serial and parallel circuits. The uncertainties in the output parameter due to uncertainties in the input parameters are calculated using Equation (1) [35]. The uncertainties in various parameters for the experimental study on integrated system with serial and parallel circuits could be calculated using the concept of linear fraction approximation [36].
Here, X 1 , X 2 , . . . X n are the input parameters, U 1 , U 2 , . . . U n are the uncertainties in the input parameters, F is the output parameter and U F is the uncertainty in the output parameter. Using Equation (1), the uncertainties in flow rate, battery out temperature and HVAC heating capacity are calculated as 1.50%, 0.75% and 1.68%, respectively.

Artificial Neural Network (ANN)
In recent times, ANNs are used for the performance prediction, forecasting, modeling, simulation and optimization of various physical systems. The working principle of ANN is based on a biological neural network [37]. When the input and output parameters with a larger data set is interrelated in a nonlinear relationship with each other, in those cases the ANN is the efficient tool to relate these parameters with less complexity than the conventional mathematical techniques [38]. The structure of the ANN model includes three layers namely, an input layer, a hidden layer and an output layer [39]. Each layer comprises a suitable number of neurons: the number of neurons in the input layer is equal to the number of input parameters, the number of neurons in the output layer is equal to the number output parameters and the number of neurons in the hidden layer is adjusted based on the training error [40]. Neurons in one layer are connected with the other layer's neurons using weights and two neurons are connected by a single weight value [41]. The structure of the ANN model including layers, neurons and weights is trained using a training algorithm. The construction of training algorithm includes training variant and transfer function [39]. The maximum training error and maximum number of epochs are set as stopping criteria for training. The structure of the ANN model is trained using the selected training algorithm until the desired output or permissible error is obtained [42]. In the training process, the weights assigned between neurons are adjusted to achieve the Symmetry 2021, 13, 93 6 of 25 desired output. If the desired output or the permissible errors is not achieved, then the different combination of training algorithm, training variant, transfer function, number of hidden layers and hidden neurons is used for further training. The trained ANN model that shows a higher prediction accuracy, with a predicted output closer to the actual results, is suggested as the optimum ANN model.
In the present study, an ANN model with various algorithms is developed for the prediction of battery and HVAC heating performances of the integrated system with a serial circuit and with a parallel circuit. The formulated structure of an ANN model for the integrated system with serial and parallel circuits is presented in Figure 2. The aim of the development of ANN models is to predict the battery and HVAC heating performances, which are indicated by battery out temperature and HVAC temperature difference. The battery out temperature and HVAC temperature difference are most affected by heater power and flow rate, which vary in real time. Therefore, the ANN model for the integrated system with serial and parallel circuits is formulated to predict the battery out temperature and HVAC temperature difference as the output parameters, for various conditions of heater power, flow rate and time as the input parameters. The training algorithm comprises of back-propagation algorithm, Levenberg-Marquardt (LM) training variant, Tan-Sigmoidal (Tan) and Log-Sigmoidal (Log) transfer functions, one hidden layer and 10, 15 and 20 number of hidden neurons [38]. The maximum training error and maximum number of epochs are set to 10 −6 and 1000, respectively. The ANN model is trained for the selected algorithm with various combinations, until the maximum training error and the maximum epochs are reached. In the present study, an ANN model with various algorithms is developed for the prediction of battery and HVAC heating performances of the integrated system with a serial circuit and with a parallel circuit. The formulated structure of an ANN model for the integrated system with serial and parallel circuits is presented in Figure 2. The aim of the development of ANN models is to predict the battery and HVAC heating performances, which are indicated by battery out temperature and HVAC temperature difference. The battery out temperature and HVAC temperature difference are most affected by heater power and flow rate, which vary in real time. Therefore, the ANN model for the integrated system with serial and parallel circuits is formulated to predict the battery out temperature and HVAC temperature difference as the output parameters, for various conditions of heater power, flow rate and time as the input parameters. The training algorithm comprises of back-propagation algorithm, Levenberg-Marquardt (LM) training variant, Tan-Sigmoidal (Tan) and Log-Sigmoidal (Log) transfer functions, one hidden layer and 10, 15 and 20 number of hidden neurons [38]. The maximum training error and maximum number of epochs are set to 10 −6 and 1000, respectively. The ANN model is trained for the selected algorithm with various combinations, until the maximum training error and the maximum epochs are reached.

Data Reduction
The battery temperature rise rate is calculated using Equation (2). The battery temperature rise rate is presented in °C/min [4].

=
(2) The battery heating capacity is calculated using the battery temperature rise rate,

Data Reduction
The battery temperature rise rate is calculated using Equation (2). The battery temperature rise rate is presented in • C/min [4].
Battery temperature rise rate = End time temperature − Initial time temperature total time The battery heating capacity is calculated using the battery temperature rise rate, mass of battery and specific heat of battery, as presented by Equation (3).
Battery heating capacity = m B × C pB × Battery temperature rise rate Here, m B is mass of battery and C pB is specific heat of battery. The HVAC heating capacity is calculated using the temperature difference of working fluid at the inlet and outlet of HVAC, flow rate of working fluid in HVAC and specific heat of working fluid, as presented by Equation (4).
Here, ρ is density of working fluid, . Q HVAC is flow rate of working fluid in HVAC, C p f is specific heat of working fluid, T HVAC,in and T HVAC,out are the temperatures of the working at the inlet and outlet of HVAC, respectively.
Here, n presents number of data points, X pre,m presents predicted value of output parameter at data point m, Y mea,m presents experimental (actual) value of output parameter at data point m and Y mea presents the average value of all experimental data points.

Results and Discussion
The experimental results of battery and HVAC heating performances for the integrated system with serial and parallel circuits are comprehensively discussed in this section. Battery and HVAC heating performances of the integrated system with parallel circuit are discussed in Sections 5.1 and 5.2 elaborates the battery and HVAC heating performances of the integrated system with serial circuit. The comparison of integrated system with serial and parallel circuits for battery and HVAC heating performances is presented in Section 5.3. Section 5.4 discusses the results of ANN model for prediction of battery and HVAC heating performances in the case of an integrated system with serial and parallel circuits.

Heating Performances of Battery and HVAC for Integrated System with Parallel Circuit
The experimental results for battery and HVAC heating performances of the integrated system with parallel circuit namely, battery out temperature, battery temperature rise rate, battery heating capacity and HVAC heating capacity at various heater powers and flow ratios are elaborated in this section. The variation of battery out temperature with time for the integrated system with parallel circuit at various heater powers and flow ratios is presented in Figure 3a. The maximum battery heating temperature is cutoff at 40 • C because battery functions effectively below this temperature [8]. Therefore, the stopping criteria for the experiment at each flow rate and various heater powers is set as 40 • C, as shown in Figure 3a. The purpose of battery heating is to reach the maximum cut off temperature (40 • C) in minimum time using the proposed integrated heating system. If the experiment reaches the cut off temperature at any flow ratio and heater power, then it is stopped. However, if the experiments fail to reach cutoff temperature or the increasing gradient of temperature curve at any flow ratio and heater power is low then the experiment is stopped. For all flow ratios, as the heater power increases from 2 to 6 kW, the battery out temperature increases. This means higher heater power enables higher and faster heating of battery. A higher flow ratio indicates higher flow rate of working fluid for battery heating. Therefore, as the flow ratio increases from 2/8 to 8/2, the battery out temperature enhances towards the higher heating temperature. In the case of heater power of 2 kW, the battery heating temperature reaches to only 35 • C after 3000 s. The increasing gradient for each temperature curve increases slowly with time, hence, experiments are stopped on or before 3000 s, because, from the trends of temperature curve, it is not expected that they could reach to cutoff temperature. Whereas the battery heating temperature reaches to 40 • C within 2000 s for heater power of 4 kW and within 1000 s for heater power of 6 kW. any flow ratio and heater power is low then the experiment is stopped. For all flow ratios, as the heater power increases from 2 to 6 kW, the battery out temperature increases. This means higher heater power enables higher and faster heating of battery. A higher flow ratio indicates higher flow rate of working fluid for battery heating. Therefore, as the flow ratio increases from 2/8 to 8/2, the battery out temperature enhances towards the higher heating temperature. In the case of heater power of 2 kW, the battery heating temperature reaches to only 35 °C after 3000 s. The increasing gradient for each temperature curve increases slowly with time, hence, experiments are stopped on or before 3000 s, because, from the trends of temperature curve, it is not expected that they could reach to cutoff temperature. Whereas the battery heating temperature reaches to 40 °C within 2000 s for heater power of 4 kW and within 1000 s for heater power of 6 kW. The variation of the battery temperature rise rate with flow ratio for the integrated system with parallel circuit at various heater powers is shown in Figure 3b. Due to an increase in the battery out temperature with increase in the heater power, the battery temperature rise rate enhances with heater power. In addition, the higher flow rate of working fluid for battery heating increases the battery temperature rise rate as the flow ratio increases. As the flow ratio increases from 2/8 to 8/2, the battery temperature rise rate increases by 48.20% for heater power of 2 kW, 38.90% for heater power of 4 kW and 53.90% for heater power of 6 kW. The maximum battery temperature rise rate for heater powers of 2 kW, 4 kW and 6 kW are observed 0.39 °C/min, 0.66 °C/min and 1.17 °C/min, respectively, at the flow ratio of 8/2.
(a) Battery out temperature

Battery and HVAC Heating Capacities
The behavior of battery heating capacity with flow ratio for the integrated system with a parallel circuit at various heater powers is shown in Figure 4a. The battery heating capacity increases with increase in flow ratio as well as heater power, due to an increase in the battery out temperature and the battery temperature rise rate with heater power and flow ratio. The battery heating capacity curves are less steep with the flow ratio for the lower heater powers of 2 kW and 4 kW, compared with the higher heater power of 6 kW. The battery heating capacities increase from 124.14 to 183.99 W, 224.62 to 311.65 W and 456.36 to 702.43 W for heater powers of 2 kW, 4 kW and 6 kW, respectively, when the flow ratio increases from 2/8 to 8/2. The maximum battery heating capacities for heater powers of 4 kW and 6 kW are higher by 69.30% and 281.70%, respectively, than that for heater power of 2 kW.
The effect of flow ratio and heater power on HVAC heating capacity of the integrated system with parallel circuit is presented in Figure 4b. The lower flow ratio indicates higher flow rate of working fluid through HVAC and vice versa. Therefore, the HVAC heating capacity is higher at the lower flow ratio and lower at the higher flow ratio. This means HVAC heating capacity decreases as the flow ratio increases for all heater powers. The HVAC heating capacities decrease by 26.50%, 39.40% and 50.00% for heater powers of 2 kW, 4 kW and 6 kW, respectively, as the flow ratio increases from 2/8 to 8/2. The decreasing curve of HVAC heating capacity are steeper at higher heater power compared with lower heater power. The maximum HVAC heating capacities for heater powers of 2 kW, 4 kW and 6 kW are observed at flow ratio of 2/8 which are 1315.50 W, 1915.22 W and The variation of the battery temperature rise rate with flow ratio for the integrated system with parallel circuit at various heater powers is shown in Figure 3b. Due to an increase in the battery out temperature with increase in the heater power, the battery temperature rise rate enhances with heater power. In addition, the higher flow rate of working fluid for battery heating increases the battery temperature rise rate as the flow ratio increases. As the flow ratio increases from 2/8 to 8/2, the battery temperature rise rate increases by 48.20% for heater power of 2 kW, 38.90% for heater power of 4 kW and 53.90% for heater power of 6 kW. The maximum battery temperature rise rate for heater powers of 2 kW, 4 kW and 6 kW are observed 0.39 • C/min, 0.66 • C/min and 1.17 • C/min, respectively, at the flow ratio of 8/2.

Battery and HVAC Heating Capacities
The behavior of battery heating capacity with flow ratio for the integrated system with a parallel circuit at various heater powers is shown in Figure 4a. The battery heating capacity increases with increase in flow ratio as well as heater power, due to an increase in the battery out temperature and the battery temperature rise rate with heater power and flow ratio. The battery heating capacity curves are less steep with the flow ratio for the lower heater powers of 2 kW and 4 kW, compared with the higher heater power of 6 kW. The battery heating capacities increase from 124.14 to 183.99 W, 224.62 to 311.65 W and 456.36 to 702.43 W for heater powers of 2 kW, 4 kW and 6 kW, respectively, when the flow ratio increases from 2/8 to 8/2. The maximum battery heating capacities for heater powers of 4 kW and 6 kW are higher by 69.30% and 281.70%, respectively, than that for heater power of 2 kW.
The effect of flow ratio and heater power on HVAC heating capacity of the integrated system with parallel circuit is presented in Figure 4b. The lower flow ratio indicates higher flow rate of working fluid through HVAC and vice versa. Therefore, the HVAC heating capacity is higher at the lower flow ratio and lower at the higher flow ratio. This means HVAC heating capacity decreases as the flow ratio increases for all heater powers. The HVAC heating capacities decrease by 26.50%, 39.40% and 50.00% for heater powers of 2 kW, 4 kW and 6 kW, respectively, as the flow ratio increases from 2/8 to 8/2. The decreasing curve of HVAC heating capacity are steeper at higher heater power compared with lower heater power. The maximum HVAC heating capacities for heater powers of 2 kW, 4 kW and 6 kW are observed at flow ratio of 2/8 which are 1315.50 W, 1915.22 W and 3482.23 W, respectively. Min et al. have proposed fuzzy logic based electric vehicle thermal management system to maintain the desire temperatures of battery and cabin [44]. Seo et al. have investigated heat transfer characteristics of an integrated heating system for thermal management of cabin and battery of electric vehicle [45]. In the case of the integrated system with a parallel circuit, the sum of heating capacities for battery and HVAC are not equivalent to the supplied input for all heater powers of 2 kW, 4 kW and 6 kW. The heat losses occurred in experimental components, valves, pipes, pipe fittings/connections and ambient from the heated working fluid.  [45]. In the case of the integrated system with a parallel circuit, the sum of heating capacities for battery and HVAC are not equivalent to the supplied input for all heater powers of 2 kW, 4 kW and 6 kW. The heat losses occurred in experimental components, valves, pipes, pipe fittings/connections and ambient from the heated working fluid.
(a) Battery heating capacity

Heating Performances of Battery and HVAC for Integrated System with Serial Circuit
The experimental results for battery and HVAC heating performances of the integrated system with serial circuit, such as battery out temperature, battery temperature rise rate, battery heating capacity and HVAC heating capacity at various heater powers are discussed in this section.

Battery out Temperature and Battery Temperature Rise Rate
The variation of battery out temperature with time for the integrated system with serial circuit at various heater powers is presented in Figure 5a. As the heater power increases from 2 kW to 6 kW, the battery out temperature increases. Hence, higher heater power shows faster battery heating performance compare with lower heater power. In the case of an integrated system with a serial circuit, full flow rate of working fluid is used in battery heating, therefore, the time needed to reach 40 °C is shorter than the integrated system with parallel circuit for all heater powers. The battery out temperature reaches to 40 °C within 400s for 6 kW heater power, which is within 600 s for 4 kW heater power and that within 1200 s for 2 kW heater power. Ruan et al. have also shown the heating temperature behavior of single cell battery over the time. The battery heating from temperature of −30 °C to 2.1 °C is achieved within 103 s [5].
The variation of battery temperature rise rate of the integrated system with serial circuit for various heater powers is shown in Figure 5b. As a result of the increase in the battery out temperature with increase in the heater power, the battery temperature rise rate is higher at higher heater power. The battery temperature rise rates are 102.90% and 204.60% higher for heater powers of 4 kW and 6 kW, respectively, compared to the battery

Heating Performances of Battery and HVAC for Integrated System with Serial Circuit
The experimental results for battery and HVAC heating performances of the integrated system with serial circuit, such as battery out temperature, battery temperature rise rate, battery heating capacity and HVAC heating capacity at various heater powers are discussed in this section.

Battery out Temperature and Battery Temperature Rise Rate
The variation of battery out temperature with time for the integrated system with serial circuit at various heater powers is presented in Figure 5a. As the heater power increases from 2 kW to 6 kW, the battery out temperature increases. Hence, higher heater power shows faster battery heating performance compare with lower heater power. In the case of an integrated system with a serial circuit, full flow rate of working fluid is used in battery heating, therefore, the time needed to reach 40 • C is shorter than the integrated system with parallel circuit for all heater powers. The battery out temperature reaches to 40 • C within 400 s for 6 kW heater power, which is within 600 s for 4 kW heater power and that within 1200 s for 2 kW heater power. Ruan et al. have also shown the heating temperature behavior of single cell battery over the time. The battery heating from temperature of −30 • C to 2.1 • C is achieved within 103 s [5].
The variation of battery temperature rise rate of the integrated system with serial circuit for various heater powers is shown in Figure 5b. As a result of the increase in the battery out temperature with increase in the heater power, the battery temperature rise rate is higher at higher heater power. The battery temperature rise rates are 102.90% and 204.60% higher for heater powers of 4 kW and 6 kW, respectively, compared to the battery temperature rise rate at heater power of 2 kW. The battery temperature rise rate is higher for the integrated system with serial circuit compare to the integrated system with parallel circuit for all heater powers because full flow rate of working fluid is used for battery heating in the integrated system with serial circuit which significantly enhances the battery out temperature for the integrated system with serial circuit compared with the integrated system with parallel circuit. The battery temperature rise rates in the case of an integrated system with serial circuit are higher by 83.20%, 119.20% and 94.60% for heater powers of 2 kW, 4 kW and 6 kW, respectively, compared to the integrated system with parallel circuit. Guo et al. have achieved the battery cell heating from temperature of −20.30 • C to 10.02 • C within 13.70 min at an average temperature rise of 2.21 • C/min and battery pack heating from a temperature of −20.84 • C to 10 • C is achieved within 12.40 min at an average temperature rise of 2.47 • C/min [4].
Symmetry 2021, 13, x FOR PEER REVIEW 12 o temperature rise rate at heater power of 2 kW. The battery temperature rise rate is hig for the integrated system with serial circuit compare to the integrated system with para circuit for all heater powers because full flow rate of working fluid is used for batt heating in the integrated system with serial circuit which significantly enhances the b tery out temperature for the integrated system with serial circuit compared with the in grated system with parallel circuit. The battery temperature rise rates in the case of integrated system with serial circuit are higher by 83.20%, 119.20% and 94.60% for hea powers of 2 kW, 4 kW and 6 kW, respectively, compared to the integrated system w parallel circuit. Guo  (a) Battery out temperature

Battery and HVAC Heating Capacities
The effect of heater power on battery heating capacity of the integrated system with serial circuit is shown in Figure 6a. Due to higher battery heating performance at higher heater power, the battery heating capacity increases with increase in the heater power. The battery heating capacities at heater powers of 2 kW, 4 kW and 6 kW are 336.37 W, 682.75 W and 1025.16 W, respectively. As a result of higher battery heating temperature of the integrated system with serial circuit compare to integrated system with parallel circuit for all heater powers, the battery heating capacities of integrated system with serial circuit for the heater powers of 2 kW, 4 kW and 6 kW are higher by 82.80%, 119.10% and 45.90%, respectively, than those of integrated system with parallel circuit.
The effect of heater power on HVAC heating capacity of the integrated system with serial circuit is shown in Figure 6b. As whole flow rate of working fluid is used for HVAC heating in the case of an integrated system with serial circuit, the HVAC heating capacity of integrated system with serial circuit is higher than that of integrated system with parallel circuit for all heater powers. The HVAC heating capacities of integrated system with serial circuit for heater powers of 2 kW, 4 kW and 6 kW are higher by 46.50%, 93.60% and 64.40%, respectively, than those of integrated system with parallel circuit. The HVAC heating capacity of integrated system with serial circuit also increases as the heater power increases. The HVAC heating capacities at heater powers of 4 kW and 6 kW are enhanced by 92.30% and 196.90%, compared to that of 2 kW. Zhang [11,20].

Battery and HVAC Heating Capacities
The effect of heater power on battery heating capacity of the integrated system with serial circuit is shown in Figure 6a. Due to higher battery heating performance at higher heater power, the battery heating capacity increases with increase in the heater power. The battery heating capacities at heater powers of 2 kW, 4 kW and 6 kW are 336.37 W, 682.75 W and 1025.16 W, respectively. As a result of higher battery heating temperature of the integrated system with serial circuit compare to integrated system with parallel circuit for all heater powers, the battery heating capacities of integrated system with serial circuit for the heater powers of 2 kW, 4 kW and 6 kW are higher by 82.80%, 119.10% and 45.90%, respectively, than those of integrated system with parallel circuit.
The effect of heater power on HVAC heating capacity of the integrated system with serial circuit is shown in Figure 6b. As whole flow rate of working fluid is used for HVAC heating in the case of an integrated system with serial circuit, the HVAC heating capacity of integrated system with serial circuit is higher than that of integrated system with parallel circuit for all heater powers. The HVAC heating capacities of integrated system with serial circuit for heater powers of 2 kW, 4 kW and 6 kW are higher by 46.50%, 93.60% and 64.40%, respectively, than those of integrated system with parallel circuit. The HVAC heating capacity of integrated system with serial circuit also increases as the heater power increases. The HVAC heating capacities at heater powers of 4 kW and 6 kW are enhanced by 92.30% and 196.90%, compared to that of 2 kW. Zhang [11,20].

Total Heating Capacity of Integrated System with Serial and Parallel Circuits
The total heating capacities comparison of the integrated system with serial and parallel circuits for various heater powers is presented in Figure 7. In addition, in the case of an integrated system with parallel circuit, the effect of flow ratio on total heating capacity is also included. As presented in Figure 7, the total heating capacity for parallel circuit is the sum of heating capacities of battery and HVAC at all heater powers and flow ratios, whereas the total heating capacity for the serial circuit is the heating capacity of the battery when the battery only heated using an entire flow rate, and that is the heating capacity of HVAC when only HVAC is heated using a full flow rate of working fluid. In the integrated system with parallel circuit, the total flow rate of working fluid (24 L/min) is divided to heat up the battery and HVAC therefore, the total heating capacity is the sum of heating capacities of battery and HVAC. While, in the case of an integrated system with serial circuit, the total flow rate of working fluid is used for heating of battery or heating of HVAC, therefore, the heating capacity of the battery or heating capacity of HVAC is only the total heating capacity. In total, the heating capacity of the integrated system with parallel circuit, the heating capacity of HVAC is more dominant compare with heating capacity of battery. Therefore, the total heating capacity of the integrated system with parallel circuit decreases as the flow ratio increases for all heater powers because of decrease in the heating capacity of HVAC. The maximum total heating capacities for the integrated system with parallel circuit are found at flow ratio of 2/8 for heater powers of 2 kW, 4 kW and 6 kW, which are 1439.66 W, 2139.60 W and 3938.59 W, respectively. For the integrated system with serial and parallel circuits, the total heating capacity increases as the heater power increases. The total heating capacity increases by 173.50% for the integrated system with parallel circuit, 204.80% for battery heating of integrated system with serial circuit and 197% for HVAC heating of the integrated system with serial circuit, as the heater power increases from 2 kW to 6 kW. For heater power of 2 kW, the maximum total heating capacity of the integrated system with parallel circuit is 327.90% higher than total battery heating capacity of the integrated system with serial circuit, and that is 25.30% lower than total HVAC heating capacity of the integrated system serial circuit. At heater power of 4 kW, the total heating capacity of the integrated system with parallel circuit is 212.30% higher and 42.30% lower than the total battery heating capacity and total HVAC heating capacity of the integrated system with serial circuit, respectively. In the same way, at a heater power of 6 kW, the total heating capacity of integrated system with parallel circuit is 284.20% higher and 31.20% lower than the total battery heating capacity and total HVAC heating capacity of the integrated system with serial circuit, respectively. As shown in Figure 7, the output as the sum of heating capacities of battery and HVAC in the case of parallel circuit and heating capacity of battery or HVAC in the case of serial circuit are lower than the input as heater power. The heat losses for the integrated system with serial and parallel circuits are occurred into experimental components. as well as three valves, pipes and pipe fittings/connections. In addition, some heat loss occurs from working fluid to ambient. The integrated system with serial circuit shows rapid heating performance compared with the integrated system with parallel circuit, but the tradeoff heating between battery and HVAC is not possible in the case of the integrated system with serial circuit. However, the integrated system with parallel circuit enables the tradeoff between the heating of HVAC and that of the battery. Despite of slow heating performance of the integrated system with parallel circuit, the desired heating performance could be achieved.

ANN Model for Battery and HVAC Heating Performances
The battery and HVAC heating performances of the integrated system with serial and parallel circuits predicted by ANN model with various algorithm are compared with corresponding experimental (actual) results. The comparison of predicted results and actual results is done in terms of three statistical parameters namely, coefficient of determination (R 2 ), root mean square error (RMSE) and coefficient of variance (COV). The algorithm with highest value of R 2 and lowest values of RMSE and COV are suggested as the optimum algorithm for ANN model.

Integrated System with Parallel Circuit
The battery out temperature of the integrated system with parallel circuit for various heater powers, flow ratios and time is predicted using various algorithms of ANN models. The experimental data of battery out temperature of the integrated system with parallel circuit at various time, flow rates and heater powers are used for the training, testing and validation of ANN models with various algorithms. The prediction accuracy of various algorithms of ANN model for battery out temperature at flow ratio of 5/5 and all heater powers is presented in Table 3. A higher prediction accuracy is obtained for other flow ratios as well. For all heater powers and hidden neurons, LM with Tan training variant shows better prediction accuracy compared to LM with Log training variant. In addition, prediction accuracy increases as the number of hidden neurons increases for all heater powers. Therefore, in respective case of each heater power, LM-Tan with 20 hidden neurons shows highest prediction accuracy for battery out temperature of the integrated system with parallel circuit. The prediction accuracy of ANN model with LM-Tan-20 algorithm for battery out temperature of the integrated system with parallel circuit is R 2 with 0.999971, 0.999979 and 0.999979, RMSE with 0.154166, 0.183539 and 0.201043, as well as COV with 0.536230, 0.460489 and 0.472796 for heater powers of 2 kW, 4 kW and 6 kW, respectively. The comparison of battery out temperature of the integrated system with parallel circuit for experiment and ANN model with LM-Tan-20 algorithm at various heater powers is also presented in Figure 8a. Figure 8a shows the prediction capability of

ANN Model for Battery and HVAC Heating Performances
The battery and HVAC heating performances of the integrated system with serial and parallel circuits predicted by ANN model with various algorithm are compared with corresponding experimental (actual) results. The comparison of predicted results and actual results is done in terms of three statistical parameters namely, coefficient of determination (R 2 ), root mean square error (RMSE) and coefficient of variance (COV). The algorithm with highest value of R 2 and lowest values of RMSE and COV are suggested as the optimum algorithm for ANN model.

Integrated System with Parallel Circuit
The battery out temperature of the integrated system with parallel circuit for various heater powers, flow ratios and time is predicted using various algorithms of ANN models. The experimental data of battery out temperature of the integrated system with parallel circuit at various time, flow rates and heater powers are used for the training, testing and validation of ANN models with various algorithms. The prediction accuracy of various algorithms of ANN model for battery out temperature at flow ratio of 5/5 and all heater powers is presented in Table 3. A higher prediction accuracy is obtained for other flow ratios as well. For all heater powers and hidden neurons, LM with Tan training variant shows better prediction accuracy compared to LM with Log training variant. In addition, prediction accuracy increases as the number of hidden neurons increases for all heater powers. Therefore, in respective case of each heater power, LM-Tan with 20 hidden neurons shows highest prediction accuracy for battery out temperature of the integrated system with parallel circuit. The prediction accuracy of ANN model with LM-Tan-20 algorithm for battery out temperature of the integrated system with parallel circuit is R 2 with 0.999971, 0.999979 and 0.999979, RMSE with 0.154166, 0.183539 and 0.201043, as well as COV with 0.536230, 0.460489 and 0.472796 for heater powers of 2 kW, 4 kW and 6 kW, respectively. The comparison of battery out temperature of the integrated system with parallel circuit for experiment and ANN model with LM-Tan-20 algorithm at various heater powers is also presented in Figure 8a. Figure 8a shows the prediction capability of suggested algorithm and closeness of predicted results by suggested algorithm with the experimental results.
The same algorithms of the ANN model are used to predict the HVAC temperature difference of the integrated system with parallel circuit. The ANN model with various algorithms is trained, tested and validated for the experimental HVAC temperature difference data at various flow rates, heater powers and time. The prediction accuracy of various algorithms of ANN models is presented at flow ratio of 5/5 and all heater powers for HVAC temperature difference in Table 3. For other flow ratios, a higher prediction accuracy is also obtained. In the case of HVAC temperature difference of the integrated system with parallel circuit, the LM with Tan training variant also shows superior prediction accuracy than the LM with Log training variant for all heater powers. Additionally, higher number of hidden neurons shows higher prediction performance for all heater powers. For the HVAC temperature difference of the integrated system with parallel circuit, the LM-Tan-20 shows R 2 of 0.803624, 0.956737 and 0.994077, RMSE of 0.631449, 0.549005 and 0.245819, as well as COV of 44.75612, 21.27336 and 7.909049 for heater powers of 2 kW, 4 kW and 6 kW, respectively. The prediction accuracy of the LM-Tan-20 algorithm is better for the battery out temperature than the HVAC temperature difference, because of linear trends of battery out temperature and zigzag trends of HVAC temperature difference for all heater powers. Figure 8b shows the closeness of LM-Tan-20 algorithm predicted HVAC temperature difference and corresponding actual results for all heater powers. For some points deviation between the predicted and actual results is larger because of zigzag trend of HVAC temperature difference curves at all heater powers, the suggested algorithm is not able to follow all points accurately. However, the minimum prediction accuracy is 0.8, which is an acceptable prediction performance for the suggested ANN model. Mohanraj et al. have suggested the Levenberg-Marquardt training algorithm as the optimum for the accurate performance prediction with maximum R 2 of 0.999 and lowest values of RMSE and COV [39]. (a) Battery out temperature

Integrated System with Serial Circuit
The battery out temperature of the integrated system with serial circuit is predicted for various algorithms of ANN model using heater power, flow rates and time as the input conditions. The experimental battery out temperature, heater powers and flow rates at various time are considered to train, test and validate the various algorithms of ANN model. The prediction accuracy of ANN model with various algorithms for battery out temperature of the integrated system with serial circuit at various heater powers is presented in Table 4 Figure 9a. A higher degree of closeness between the actual and predicted results could be observed for the suggested algorithm of ANN model.
The experimental results of HVAC temperature difference, heater power, flow rates and time are used to train, test and validate the same algorithms of the ANN models. Trained ANN models are used to predict the HVAC temperature difference for various heater powers with time. Table 4 shows the prediction accuracy of various algorithms of

Integrated System with Serial Circuit
The battery out temperature of the integrated system with serial circuit is predicted for various algorithms of ANN model using heater power, flow rates and time as the input conditions. The experimental battery out temperature, heater powers and flow rates at various time are considered to train, test and validate the various algorithms of ANN model. The prediction accuracy of ANN model with various algorithms for battery out temperature of the integrated system with serial circuit at various heater powers is presented in Table 4. The prediction accuracy of ANN model with LM-Tan-20 algorithm is superior for all heater powers. LM-Tan-20 algorithm shows R 2 , RMSE and COV values of 0.999970, 0.205704 and 0.554591, respectively, at a heater power of 2 kW, those values of 0.999980, 0.170831 and 0.479862, respectively, at a heater power of 4 kW, and those values of 0.999982, 0.158077 and 0.431001, respectively, at heater power of 6 kW. The battery out temperatures predicted by the LM-Tan-20 algorithm for various time and heater powers are compared with the corresponding experimental values in Figure 9a. A higher degree of closeness between the actual and predicted results could be observed for the suggested algorithm of ANN model.
The experimental results of HVAC temperature difference, heater power, flow rates and time are used to train, test and validate the same algorithms of the ANN models. Trained ANN models are used to predict the HVAC temperature difference for various  Table 4 shows the prediction accuracy of various algorithms of the ANN model for HVAC temperature difference of the integrated system with serial circuit at various heater powers. ANN model with LM-Tan-20 algorithm is suggested as the optimum model, which shows higher value of R 2 and lowest values of RMSE and COV. ANN model with LM-Tan-20 algorithm shows R 2 , RMSE and COV values of 0.987539, 0.128786 and 11.30589, respectively, at 2 kW heater power, those of 0.998338, 0.132884 and 4.164997, respectively, at 4 kW heater power and those of 0.998081, 0.134271 and 4.444122, respectively, at 6 kW heater power. Figure 9b shows the comparison of experimental HVAC temperature difference and LM-Tan-20 algorithm predicted HVAC temperature difference for various heater powers. For all heater powers, the predicted results show closer agreement with corresponding experimental results.

Conclusions
An experimental study is conducted on the integrated system with serial and parallel circuits to investigate the heating performances of battery and HVAC for an electric vehicle. In addition, ANN models are developed to predict the battery and HVAC heating performances of the integrated system with serial and parallel circuits. The following findings are summarized from the present study.
(a) The effect of heater power on heating performances of the integrated system with serial and parallel circuits and effect of flow ratio on heating performances of the integrated system with parallel circuit are analyzed. As the heater power increases, the heating performances increases for the integrated system with serial and parallel circuits. With an increase in the flow ratio to the battery, battery heating performance enhances, whereas HVAC heating performance decreases. (b) In the case of integrated system with parallel circuit, battery out temperature reaches 40

Conclusions
An experimental study is conducted on the integrated system with serial and parallel circuits to investigate the heating performances of battery and HVAC for an electric vehicle. In addition, ANN models are developed to predict the battery and HVAC heating performances of the integrated system with serial and parallel circuits. The following findings are summarized from the present study.
(a) The effect of heater power on heating performances of the integrated system with serial and parallel circuits and effect of flow ratio on heating performances of the integrated system with parallel circuit are analyzed. As the heater power increases, the heating performances increases for the integrated system with serial and parallel circuits. With an increase in the flow ratio to the battery, battery heating performance enhances, whereas HVAC heating performance decreases. (b) In the case of integrated system with parallel circuit, battery out temperature reaches 40 • C within 20 min at the rate of 1.22 • C/min. Battery heating capacity is evaluated as 764.99 W and HVAC heating capacity is evaluated as 3869.15 W. (c) The battery out temperature reaches to 40 • C within 10 min at the rate of 2.17 • C/min for the integrated system with serial circuit. The battery and HVAC heating capacities for the integrated system with serial circuit are evaluated as 1025.16 W and 5726.33 W, respectively. (d) The integrated system with serial circuit enables faster heating performance than the integrated system with parallel circuit for both battery and HVAC. However, the integrated system with parallel circuit enables the tradeoff heating between battery and HVAC at the desired level with the slower rate. (e) The battery and HVAC heating performances of the integrated system with serial and parallel circuits are accurately predicted using the developed ANN models with back-propagation training algorithm, Levenberg-Marquardt training variant, Tan-sigmoidal transfer function and 20 hidden neurons. (f) The effects of various operating conditions on the heating performances of battery and HVAC using the proposed integrated system with serial and parallel circuits could be investigated and optimized, to find the optimum point for tradeoff heating of battery and HVAC under various conditions. The extracted results could be used in practical applications such as under cold weather conditions, the extracted optimum point for tradeoff heating of battery and HVAC could successfully achieve the efficient battery and HVAC heating performances of full size commercial electric vehicles with increased driving range and improved battery performance and life. The integrated system with serial circuit could be used for applications where rapid heating of battery or HVAC is needed, whereas the integrated system with parallel circuit could be used for applications where tradeoff simultaneous heating of battery and HVAC is needed. Thus, the proposed integrated system with serial and parallel circuits has the practical applicability to enable rapid, as well as tradeoff heating for both battery and HVAC in electric vehicles. Informed Consent Statement: Not applicable.

Data Availability Statement:
The data presented in this study will be available on request to the corresponding author.