Research Article

Design of DC-DC Converter for a Bifacial PV-Powered Stand-Alone Electric Vehicle Charging Station Using Secretary Bird Optimization Algorithm

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DOI:

10.3791/71079

August 18th, 2026

In This Article

Summary

This study develops a battery-storage-supported ANN-based MPPT system for a standalone electric vehicle charging station powered by a bifacial photovoltaic system. Additionally, the Secretary Bird Optimization Algorithm (SBOA) optimizes DC–DC converter, filter, and PI controller parameters to minimize total harmonic distortion (THD) and DC-bus voltage deviation.

Abstract

In response to the growing emphasis on sustainable mobility, this study presents a renewable-energy-based electric vehicle (EV) charging system incorporating a station battery energy storage (BES). The system employs a bifacial photovoltaic (PV) array with an artificial neural network (ANN)-assisted maximum power point tracking (MPPT) scheme. Additionally, the Secretary Bird Optimization Algorithm (SBOA) is used to optimize the DC–DC converter, filter, and PI controller parameters to minimize THD while maintaining a stable DC-bus voltage. Five EV models were evaluated, including one lead-acid battery-based model (BMW i3) and four lithium-ion battery-based models (Fiat 500e, Mercedes EQA 250, Volkswagen e-Golf, and Hyundai Kona Electric). The proposed MPPT configuration extracts maximum energy from the bifacial PV system while maintaining a stable DC-bus voltage under variable environmental and loading conditions. Validation through MATLAB/Simulink simulations under three operating scenarios (irradiance = 800–1000 W/m2; temperature = 20–25 °C) demonstrates high conversion efficiency, THDs of 2.85%, 2.26%, and 2.23%, and robust power management suitable for off-grid EV charging stations.

Introduction

Nowadays, integrating renewable sources, primarily solar, and EV charging stations into the distribution system is key. However, this integration leads to PQ issues and a need for advanced MPPT to extract power from renewable sources. However, due to the rapid growth in EV adoption, it became essential to have a fast, reliable charging infrastructure. The use of traditional grid-connected charging stations results in carbon emissions, stress, and power quality (PQ) issues. Additionally, integrating renewable energy sources, such as solar, with EVs can help reduce carbon emissions. However, battery storage is considered alongside solar energy, as solar energy is inherently inconsistent. AI-based MPPT techniques yield higher solar output than conventional perturb-and-observe (P & O).

A new damped fifth-order generalized integrator control algorithm for grid-integrated PV systems was proposed to accurately transfer solar power to the grid at unity PF using Human Psychology optimization1. Besides, a learning-based hill-climbing optimal control strategy, augmented by an adaptive optimal-M Kalman filter, was employed to enhance power extraction from the PV system2. On the other hand, a predictive algorithm was employed to efficiently manage and regulate power for the microgrid-integrated PV system. The system is configured with a double-stage 3φ setup3.

Meanwhile, a new voltage sensor with a lower-power-consumption approach was developed to extract the maximum output power from a solar PV system connected to an EV charging station, with a focus on efficiency and speed 4. However, a novel command authentication approach was devised to identify fraudulent data injection attacks that specifically target the system's centralized economic dispatch control signals5. Additionally, an advanced approach was introduced to derive saliency maps from interconnected solar panel arrangements and to assess the surroundings for the presence of shading6. A control strategy was presented to successfully manage PQ issues in the UPQC with a superconducting magnetic energy storage system, specifically with respect to load from EV charging stations7.

Furthermore, the bifacial PV module poses a significant challenge to the financial viability of PV. While forecasting methods for monofacial PV performance are well established, adapting these models to bifacial systems is still in progress8,9. Moreover, multiple studies have shown that bifacial PV energy production is influenced by geometric factors. It is important to consider these elements when assessing the operation of bifacial technologies10,11,12,13,14,15. On the other hand, P & O and AI-based MPPT were developed for PV power extraction in addition to the design of controllers with optimization methods16,17,18. Modeling and simulation of bifacial PV with monofacial PV is discussed in detail19. Meanwhile, P & O and ANN-based MPPT for PV systems were suggested for EV charging station design20,21. The PV power EV charging station was designed to support various models with the P & O MPPT22. Next, the behavior of the secretary bird for its survival, such as searching and hunting prey, is mathematically modeled for SBOA23. A new fuzzy-logic-regulated DC-DC converter was presented for constant charging of a solar-supported house24. The direct flow and torque control diagram introduced fuzzy logic to cover the vehicle's torque demand and optimized training performance25.

Besides, a comprehensive review of emerging trends, including vehicle-to-grid (V2G) technology and AI-controlled energy management systems, as well as the role of renewable sources in grid-responsive EV operations, was conducted26. Furthermore, a new method was developed to address uncertainties in renewable power generation, EV charging behavior, and market pricing27. However, the key differences between EVs and SAEVs in V2G technology, with SAEVs' novel method with distinct features, were discussed, which enhanced their role in V2G integration28.

Several studies have been conducted on monofacial PV-powered grid-connected EV charging stations using conventional MPPT methods, such as P & O (listed in Table 1), I & C, Fuzzy, and metaheuristic optimization methods. They focused either on the PV power extraction system or on controller parameter selection. However, only a few monofacial PV systems with AI-based MPPT and optimal parameter selection for DC-DC converters, filters, and PI control gains, all within a single framework, are available to maintain DC bus voltage stability and reduce THD. Therefore, this research gap motivates the development of an ANN-based MPPT for Bifacial PV and optimized controllers for converters and filters to enhance PQ in a standalone EV charging station operating under dynamic conditions. This study presents a stand-alone bifacial PV charging architecture integrated with an artificial neural network-driven MPPT controller, designed for highway-based EV stations. The system is configured to charge five EV battery types22, including four lithium-ion models: Hyundai Kona Electric, Volkswagen e-Golf, Fiat 500e, Mercedes EQA 250, and BMW i3, and one lead-acid configuration, supported by an auxiliary battery-storage module that ensures stable operation under fluctuating solar conditions.

The major contributions of the proposed work can be mentioned as follows: (1) Development of a BES-supported bifacial PV arrangement operating in isolated mode to deliver energy to multiple EVs and to a station-level AC demand through coordinated DC/AC interfaces. Bifacial PV harvests more energy from both the front and rear surfaces than monofacial PV. (2) Implementation of an ANN-based MPPT algorithm that adaptively regulates the boost-converter duty ratio to extract maximum available solar power. (3) Optimization of DC-DC converter parameters, R L values of filter, and PI-controller gains via the Secretary Bird Optimization Algorithm (SBOA), targeting low THD and steady DC-bus voltage during irradiance and temperature variations.(4) Validation through three operating scenarios involving variable environmental and load conditions to evaluate controller robustness and system efficiency.

Protocol

In this research, a stand-alone bifacial PV- and battery energy storage system (BESS)-fed EV charging system is developed, as shown in Figure 1, using an ANN-controlled MPPT method. A single-diode equivalent circuit is used to model the bifacial PV array, accounting for temperature, series resistance, shunt resistance, solar irradiance, and rear-side irradiance. The PV output is supplied to the EV charging station through a DC–DC boost converter, while the BESS supports DC-bus voltage regulation. The Secretary Bird Optimization Algorithm (SBOA) is used to optimize the PI controller gains and filter parameters. The modeling of the system components and the proposed methodology are described in the following subsections.

Modeling of Components

1. Bifacial PV system

The PV modules help to achieve the required current and voltage output. In the present study, two monofacial PV modules were used to emulate the energy generation characteristics of bifacial arrays under different surface-albedo conditions9. The bifacial gain of irradiance BGg is determined by Equation (1)

Formula for calculating background gain; demonstrates BG_q=100×G_r/G_f.   (1)

Here, front irradiation is Gf, and rear irradiance is Gr. Maximum bifacial PV current is Imp, and voltage is Vmp. Finally, the output produced by the bifacial system with the chosen number of series Ns and parallel Np modules are given by Equation (2). The control of PV is given in Figure 2

Photovoltaic power equation Pmp=Ns×Np×Vmp×Imp.   (2)

2. Battery storage system (BSS)

Batteries are a crucial means of storing electrical energy18 . This work uses Li-ion batteries as the energy storage system. Among the available rechargeable battery options, this work focuses on Li-ion batteries, which are considered optimal for EVs due to their efficiency and power density. Equations (3) and (4) describe the Li-ion battery with constraints.

Static equilibrium equation SOC_OB=70(1+∫i_BSS dtQ); formula for electrical charge balance.  (3)

The specifications of the PV, storage battery, and converter are summarized in Table 2, while Table 3 presents the power-flow allocation among the PV array, energy-storage unit, and connected loads.

SOC optimization formula, SOCOB min ≤ SOCOB ≤ SOCOB max, mathematical equation.   (4)

3. DC –AC converter

The Neutral-Point-Clamped (NPC) inverter is widely adopted in modern power conversion systems for renewable energy. Compared with the conventional two-level structure, the NPC configuration offers reduced total harmonic distortion (THD), lower electromagnetic interference, and lower voltage stress on semiconductor devices. The DC link of this topology is divided into three potential levels +Vdc/2, 0, and -Vdc/2, by means of paired capacitors and clamping diodes forming the neutral junction. By appropriately controlling the switching, the inverter generates three discrete voltage states at the output terminals, thereby improving waveform quality and power conversion efficiency. The neutral point of the DC bus in an NPC inverter plays a key role in balancing capacitor voltages and ensuring proper inverter operation. The inverter's control scheme is shown in Figure 3.

4. DC-DC Boost Converter

DC-DC converters step up the input DC voltage to a higher output voltage by controlling the duty cycle of a high-frequency switching device while maintaining efficiency. It has two operating modes. During the ON state, the diode is reverse-biased, and the input source supplies energy to the inductor, which stores it as a magnetic field, while the output capacitor supplies energy to the load. During the OFF state, the diode becomes forward-biased. Here, energy stored in the inductor is released through the diode to the capacitor connected at the output and load, combining with the input source to produce an output greater than the input voltage. By varying the PWM duty cycle, the converter's output voltage varies according to the relation Static equilibrium, formula V0=Vn/(1-D), equations, educational research, physics concept., where D is the duty cycle. It is used in solar, fuel cell, EV, and storage systems.

ANN control scheme for MPPT

In this work, an ANN-based MPPT is selected to collect the maximum power generated from the solar system17. Irradiation and temperature datasets used for ANN training were generated in MATLAB/Simulink under varying environmental operating conditions, corresponding to solar irradiance levels of 800–1000 W/m2 and temperature ranges of 20–25 °C, with a duty cycle (D). The ANN is trained to minimize the MSE between the obtained and required outputs (Op, Static equilibrium, ΣFx=0 diagram, illustrating forces in balance for educational use.) to extract maximum power from the bifacial PV system. Here, the solar irradiation and temperature are used as inputs to the ANN, and the duty cycle is the output to control the boost converter. The structure of the developed ANN model for MPPT, as given in Figure 4, is considered in the work. Supplementary Table 1 presents the advantages and disadvantages of the proposed method compared with other standard methods.

An ANN consists of three main layers: an output layer (OPL), an input layer (IPL), and a hidden layer (HIL). This helps to transfer the data between the IPL and HIL. Subsequently, it is produced by the weights in the links connecting the IPL and HIL. In this context, computations are executed with a certain bias applied to the HL variable, and the resulting outcomes are accumulated in the OPL variable. Here, the LMBP-type ANN [17] is selected. The connection weights are tuned throughout training by measuring the error to achieve the target output. Here, LMBP is used to train ANNs with the MSE as the performance function. The LMBP algorithm utilizes the derived derivatives to update the weights, which exhibit the properties of effective learning and accelerated convergence

Every neuron in a multilayer perceptron network has a summation and an activation function. Nevertheless, there are certain numerical weights (wpk) that connect these neurons across the levels. When inputs are multiplied by weights as specified in Equation (5). The nonlinear sigmoid function is considered with MSE minimization given in Equation (6).

Mathematical formula for data fitting; sums weighted variables; statistical analysis.   (5)

Mean Squared Error equation for error analysis; statistical diagram, MSE formula.    (6)

SBOA optimized the filter and control parameters of the proposed system

These days, metaheuristic algorithms play a key role in solving engineering problems. Figure 5 gives a classification of algorithms. SBOA algorithm23 mimics the behavior of the SB to survive in its natural habitat. The exploration and exploitation stages of the Secretary Bird's hunting behavior are modeled in SBOA. The algorithm's exploration phase mimics the SB behavior of catching snakes, while its exploitation phase mimics their behavior of dodging predators like eagles. The solution process begins by generating random values within their respective limits for each SB in the population, and by calculating the objective function value by running the Simulink model, treating each SB's value as a design parameter. Based on the objective value, each SB changes its position to represent a better solution. The SBOA mathematical modeling is discussed below:

Initial preparation phase

First, it is necessary to identify the initial solutions that were utilized to begin the search for a typical minimization of the objective function F(Y). In this case, the initial random population Y = [Y1, Y2, ......YN] of SB‘s is formed via N initial solutions. Equation (7) initializes the population and Yi in the represents a solution.

Random sampling equation, formula Y_i=lb+r.(ub-lb), mathematical analysis method.   (7)

Where the choice variables' lower and upper bounds are denoted by lb and ub. In [0, 1], r is a random number. N Is the problem's dimension. Furthermore, the solution's fitness value Fi = F(Yi) is used to quantify the quality of Yi.

Hunting strategy of SB’s

Finding, eating, and assaulting the prey are the three main phases of SB hunting. The entire hunting process has been divided into three equal time intervals, t < 1/3T, 1/3T < t < 2/3T, and 2/3T < t < T. Here, t is the current iteration, and T is the maximum number of iterations. These intervals correspond to the three phases of the SB's predation: searching, consuming, and attacking prey. These divisions are based on the biological statistics of the bird's hunting phases and the time durations of each phase. Consequently, the following is how each SBOA phase is modeled:

Searching for prey

The SB must hunt prey from a safe distance during this phase. To gather sufficient data across the entire search region, the first step in optimization algorithms requires stronger exploration. By using the locations of the other two SB’s as a guide, the SB can investigate additional possible regions. To further increase algorithm diversity, differential mutation processes are thus introduced. When t is less than 1/3rd of T, Equation (8) is used to update the position of each individual. It will search for, consume, and assault prey. Consequently, the following is how each SBOA phase is modeled:

Equations of dynamic balancing in statistical analysis; mathematical expression; Y_{new}(t) formula. (8)

Where, Yi(t) is the current position of the ith SB, Ynewi(t) gives the updated solution, two individuals Yi(t), Yr2(t) were randomly chosen from the existing population. A random vector, for the parameter-selection strategy, R1 has 1 × N randomly chosen from [0, 1] for effective balance among exploitation and exploration phases. The updated solution is considered only if it results in an improved objective value compared to the previously obtained solution.

Consuming prey

SB uses nimble agility and moves to hover around the snake after spotting possible prey. The prey's patience will be used to lower its defenses by observing and enticing opponents as they circle. Other SB’s adjust their posture near the prey. Hunting success will be significantly increased with this approach. Equation (9) illustrates how the Brownian motion (B) is used to simulate the SB’s random movement when 1/3 T < t < 2/3 T.

Equation showing matrix definition: B=r(1,M). (9)

Where the B is implemented in MATLAB using the standard normal distribution by the randomly generated vector r(1,M). SB’s then use Equation (10) to update their positions.

Equation illustrating dynamic analysis; mathematical formula with exponential function in model prediction. (10)

Where, Ybest(t) is the best solution and the exponential scaling factor exp((t/T)4) is chosen to increase the exploitation capacity for every iteration.

Attacking prey

After consuming continuously, the victim will run out of energy. The secretary birds should launch the assault now. Here, different attack methods, such as incessant steps /sporadic long jumps over a short time period, are simulated using the Lévy flight technique. The characteristics are described by Equations (11) and (12). Candidate options are near the optimal answer at the moment because SB’s swiftly approach the prey. This plan will be implemented when t > 2/3T.

Equation depicting a mathematical interpolation process using time-based variables. (11)

Levy Flight formula: \(LF = 0.5 \times Levy(M)\), mathematical equation. (12)

Where, LF represents the Levy flight strategy and Equation symbolizing Levy process, Levy(M)=s×(μ×σ/|v|^(1/φ)), relevant to stochastic analysis., s= 0.01, and φ = 1.5 fixed values. μ and υ are arbitrary values that lie in [0, 1]. Where, τ denotes gamma and η = 0.5, the weighting factor 0.5 was adopted, as proposed in the original SBOA formulation, to regulate the step size and maintain a balance between large exploratory jumps and local refinement. Table 4 presents the values used for the ANN and the SB algorithm in the developed system.

Escape strategy for SB

When hunting other prey in the wild, SBs risk being hunted. Eagles, hawks, foxes, and jackals are the primary adversaries they must contend with. They must use a variety of evasion techniques to safeguard themselves or their prey when they perceive danger. This algorithm simulates the escape methods by modeling running modes (D2) and camouflage (D1). When facing adversaries, secretary birds initially blend into their surroundings to stay safe. Here, secretary birds strive to avoid local optima in the algorithms by updating their positions around the prey (the best individual). They will use flight or rapid-running tactics to stay safe if they are unable to evade the enemy. For reference, a random individual Yrand is chosen as the leader to avoid being restricted to a local optimum. Equations (13) and (14) are used by secretary birds to update their positions. The SBOA flowchart is shown in Figure 6.

Static equilibrium formula; equation diagram; ΣFx=0, MA=0; educational math concept.    (13)

Equation of dynamic system behavior, featuring variables and constants in mathematical formula.   (14)

Representation of design variables

The problem variables in this study include the design parameters, such as the PI controller gains of DC-DC converters, as well as the resistances and inductances of filters and converters. Equation (15) gives the representation of control variables. The control parameter bonds are listed in Supplementary Table 2.

Static equilibrium equation, ΣFx=0, electrical circuit parameters formula, research diagram.    (15)

Fitness function (FF)

The minimization of THD is selected as the objective function (Obj) in this study. The maximum value of FF is the minimum value of Obj, given in Equation (16) and (17).

MaxFF formula; static equilibrium equation; scientific calculations; diagram for educational use.    (16)

THD formula, Total Harmonic Distortion equation, used in electrical systems analysis.     (17)

Results

The proposed stand-alone Bifacial PV system with ANNC-based MPPT for an EV charging station was constructed in Simulink/Matlab 2022b and executed on an Intel Core i7 with 16GB RAMS. The selected system and EV load ratings are displayed in Table 2 and Supplementary Table 3. In this work, three cases listed in Table 5 with various permutations of solar irradiation (G), temperature (T), AC loads, and five EV cars from different models and ratings are used to demonstrate the system's performance. This work primarily focuses on improving the performance of a standalone EV system without grid connection, using an ANN to maximize power extraction from a PV system supported by battery storage while reducing THD.

In case 1, for the developed system, standard irradiation and temperatures were considered for the selected number of series- and parallel-connected modules at the front and rear ends of the Bifacial PV system, with EV cars and a station-based AC load. Here, the solar voltage, current, and power generated by the proposed ANN-trained MPPT system are used to feed the load Figure 7A. Besides, the effective power disbursement, as shown in Figure 7B, among the PV, storage battery, AC station-based load, and EV loads is carried out according to the Table 3 scenario. At 0.7 sec, the EV cars are in charging mode, acting as a load along with the station base active power load. Here, the PV power is sufficient to meet demand; hence, the storage battery is in an ideal state. Meanwhile, at 1.2 sec, the EV and AC loads are drawing power from both the PV and the battery storage system (discharging), as solar power alone is not sufficient to meet the demand. Next, the state of charge of batteries of EV cars (charging mode) and storage batteries (discharging mode), as in 7(c) gives a clear analysis of the working of the storage battery during peak requirements. It is evident that the system successfully maintains a stable DC bus voltage of 470V with lower deviation and overshoots. Additionally, Figure 7D shows that the SBOA-optimized filter minimizes waveform imperfections at PCC and reduces the current THD to 2.85% with an EV and an active power load.

In case 2, for the selected number of strings in series and parallel and for the specified ratings under variable irradiation, the PV voltage, current, and power are shown in Figure 8A. Here, the EV loads, in combination with a nonlinear rectifier bridge, are considered a system load. Besides, the excess PV power generated in Figure 8B after satisfying the load is supplied to the storage battery for charging. However, the SOCB of battery systems and EVs is shown in Figure 8C and operated as per the power management. It is also evident that the proposed system effectively reduces deviation in the DC bus voltage during load and irradiation variations. The SBOA-optimized filter reduces current imperfections and lowers THD to IEEE standards.

In case 3, variable irradiation and temperature, the maximum PV voltage, current, and power were similar to those in case 2 (Figure 9A). In addition to the EV loads, the rectifier-bridge and active power load, both acting simultaneously, were considered as the base station load. Additionally, Figure 9B shows that the storage battery is charging, as the PV system's power exceeds the load demand. Figure 9C shows the state of charge of the battery systems in EVs and storage. It is also evident that the proposed system performs well in balancing the DC bus voltage under load, irradiation, and temperature variations. The proposed method, THD and MSE, is much lower than other methods that are available in the literature, Table 6, with lower computation time. It is also evident that the developed method has high performance efficiency with a much higher success rate.

Data Availability:

The datasets used and/or analyzed during the current study are available from https://doi.org/10.6084/m9.figshare.32894939

Photovoltaic system diagram with converters and solar car charging station setup.
Figure 1. Stand-Alone Bifacial PV-Powered EV charging station. (A) Block diagram of the proposed standalone bifacial photovoltaic (PV)-Powered Electric Vehicle (EV) charging system showing the PV generation unit, Battery Energy Storage System (BESS), DC–DC converters, Inverter, Station AC Load, and EV Charging Units. (B) Representative image of a PV-Powered EV charging station. Please click here to view a larger version of this figure.

Solar controller and storage battery system diagram, MPPT algorithm, buck-boost converter setup.
Figure 2. Control System for the Bifacial PV Array and Battery Energy Storage System. Control architecture of the bifacial PV array with ANN-based maximum power point tracking (MPPT) and the Battery Energy Storage System (BESS). The upper panel shows the ANN-controlled boost converter for PV power extraction, while the lower panel shows the buck-boost converter and battery controller used for DC-bus voltage regulation. Please click here to view a larger version of this figure.

NPC 3-level inverter diagram with EV control setup for AC load conversion and management via PWM.
Figure 3. Control System for the Inverter, Station AC Load, and EV Charging units. Control architecture of the three-level neutral-point-clamped inverter supplying the station AC load and multiple EV charging units. The figure also shows the inverter control strategy, filter configuration, phase-locked loop (PLL), and individual DC–DC converter control for EV charging. Please click here to view a larger version of this figure.

Neural network diagram, Σ symbol, input-output pathway, depicting feedforward connections.
Figure 4. Artificial neural network architecture for MPPT. An artificial neural network (ANN) architecture is used for Maximum Power Point Tracking (MPPT). Solar irradiance (G) and temperature (T) are provided as inputs to the hidden layer, and the network generates the output used to determine the operating point for maximum power extraction. Please click here to view a larger version of this figure.

Optimization algorithms flowchart: deterministic, heuristic, special algorithms; metaheuristics, local search.
Figure 5. Classification of Optimization Algorithms. Classification of optimization algorithms into deterministic, metaheuristic, and other specialized optimization approaches, together with representative examples within each category. Please click here to view a larger version of this figure.

Optimization process with hunting strategy; equations (Σ), flowchart, strategy diagram.
Figure 6. Flowchart of the Secretary Bird Optimization Algorithm (SBOA). Flowchart illustrating the SBOA optimization procedure, including population initialization, fitness evaluation, hunting strategy (searching, consuming, and attacking prey), escape strategy, solution updating, and convergence to the optimal solution. Please click here to view a larger version of this figure.

Time series analysis graphs showing voltage and frequency variations over time; chart data study.
Figure 7. Simulation results for Case 1. (A) PV voltage, current, and output power under standard operating conditions. (B) Power distribution among the PV array, the station AC load, the battery energy storage system, and the EV loads. (C) State of charge (SOC) of the EV batteries and storage battery, together with duty cycle and DC-bus voltage. (D) Three-phase current and voltage waveforms at the point of common coupling (PCC). Please click here to view a larger version of this figure.

Graphs showing time-series data with spectral fitting and transient response analysis.
Figure 8. Simulation results for Case 2. (A) PV voltage, current, and output power under variable irradiance conditions. (B) Power distribution among the PV array, station AC load, battery energy storage system, and EV loads. (C) State of charge (SOC) of the EV batteries and storage battery, together with duty cycle and DC-bus voltage. (D) Three-phase current and voltage waveforms at the point of common coupling (PCC). Please click here to view a larger version of this figure.

Time-resolved spectroscopy graphs showing transient absorption data analysis results over time.
Figure 9. Simulation results for Case 3. (A) PV voltage, current, and output power under variable irradiance and temperature conditions. (B) Power distribution among the PV array, the station AC load, the battery energy storage system, and the EV loads. (C) State of charge (SOC) of the EV batteries and storage battery, together with duty cycle and DC-bus voltage. (D) Three-phase current and voltage waveforms at the point of common coupling (PCC). Please click here to view a larger version of this figure.

Neural network performance graphs; correlation R-values for training, validation, test, combined data.
Figure 10. ANN regression performance. Regression analysis of the ANN model for the training, validation, testing, and combined datasets, demonstrating the agreement between predicted and target values. Please click here to view a larger version of this figure.

Neural network training graph showing Mean Squared Error vs. Epochs with best validation at epoch 1000.
Figure 11. ANN validation performance. Mean squared error (MSE) performance of the ANN during training, validation, and testing, showing convergence over successive training epochs. Please click here to view a larger version of this figure.

THD reduction trend, SBOA, line graph, iterations vs THD, optimization method result.
Figure 12. Convergence characteristics of the Secretary Bird Optimization Algorithm. Convergence profile of the SBOA showing the reduction in total harmonic distortion (THD) with increasing optimization iterations for Case 1. Please click here to view a larger version of this figure.

FFT analysis graphs and settings comparison diagram; spectral data and parameters for three cases.
Figure 13. Fast Fourier transform analysis of current harmonics. Fast Fourier transform (FFT) spectra of the output current for the three simulation cases. The panels correspond to the harmonic spectra obtained for Case 1 (top left), Case 2 (top right), and Case 3 (bottom), illustrating the achieved THD under each operating condition. Please click here to view a larger version of this figure.

Source IntegratedTHD (%)Efficiency (%)MPPT/DC Bus voltage balancingOptimization algorithm Grid /Island conditionCarbon emissionsReference
Control Technique
PV & BatterygoodModerateP&OGoodSoccer leagueGridHighSrilakshmi et al.16
PV ModerateGoodFuzzy-SMCModerate--GridHighSrilakshmi et al.17
PV & BatterygoodModerateP&OGoodSoccer leagueGridHighSrilakshmi et al.18
PV--P&O--islandLowDineshraj et al.20
PV--ANN--gridHighRashid et al.21
Bifacial PV & BatteryExcellentExcellentANNExcellentSecretary bird IslandLowProposed

Table 1: Comparison of previous PV-powered EV charging methods. Comparison of previous studies based on integrated energy sources, MPPT/control techniques, optimization methods, power quality, operating mode, and carbon emissions.

SystemParameter/ Value
PV Rated Power = 228.735W
Maximum Voltage = 29.9 V
Short circuit current = 8.18A
Open Circuit Voltage = 37.1V, Voltage temperature coefficient β = -0.361
Maximum Current = 7.65A, Current temperature coefficient α = 0.102
Albedo coefficients = 0.2, bifacial factor = 0.1, Tilt angle = 120c
Standard Irradiance W/m2 = Gs= 1000W/m2; Gr = 100
Standard Temperature degrees Ts = 25
Series/Parallel string Ns = 10/7, ground clearance = 1 m
Lead-acid storage batteryRated capacity = 400Ah
Nominal voltage = 300V
SOCB initialization = 30%, Charging/discharging limits = 30, 70
Cut off voltage = 225V
Full charge voltage = -326V
DC-DC converterPower = 3.202e4, Stress = 476V
Input voltage = 299V
Switching frequency = 10kH
Output voltage = 479V
Duty ratio = 0.375
DC-AC converter RatingPWM strategy = sinusoidal PWM
Optimized Filter parameters; R = 0.002789ohm, L = 88706mH
Modulation index = 0.8
Sampling time used in simulation = 100µs
DC Capacitance : 524.43μF; DC voltage = 470v 

Table 2: Electrical specifications of the bifacial PV system, battery energy storage system, and power converters. Electrical ratings and operating parameters of the PV array, battery energy storage system (BESS), DC–DC converter, and DC–AC inverter used in the proposed model

If condition Then action
Scenario-1 : PV output is NilStorage battery will supply power to EV & AC load.
Scenario -2 : Balanced PV power and load demandPV will feed the EV & AC load 
Scenario -3: PV output is lower than EV & AC load demandThe difference power will be supplied by the battery till it attains the lower limit of SOCOB min.
Scenario -4 : Power generated from PV is greater than the EV & AC required load powerExcessive PV power is used to charge the battery until it attains the maximum limit of SOCOB.

Table 3: Power management strategy for the proposed EV charging system. Operating scenarios describing power flow between the PV array, battery energy storage system, EV loads, and station AC load under different operating conditions.

System Parameter/ Value 
ANNNo of input neurons= 2, output neurons=1, hidden layer=1, hidden layer neurons=10
Activation function= Sigmoid
Learning rate=0.001, Epochs=1000, Samples=1000
Training-validation split= training 70%, validation 15%, and testing 15% 
Convergence criteria=stable, MSE=1.091e-09
Normalized=min–max normalization within 0 to 1
SBOAPopulation size = 30 search agents
Maximum number of iterations = 150
Search space initialization = Random initialization of parameters (flowchart)
Dimension = Defined by selected parameters.
Brownian motion =Standard normal distribution
Stopping criteria = Maximum iteration 

Table 4: ANN and Secretary Bird Optimization Algorithm (SBOA) parameters. Configuration parameters of the artificial neural network (ANN) and SBOA used for MPPT and controller optimization.

ConditionsCase1Case2Case 3
Standard Irradiation 1000W/m2 and 25 oC temperature 
Change in irradiations of 1000W/m2, and 800W/m2  with 25 oC temperature
Change in irradiations of 1000W/m2, and 800W/m2  with 20 oC temperature
Np/Ns (45/10)
Np/Ns (7/10)
DC Bus voltage regulation
Power Management
THD Reduction
Station-Based AC Load1: Active power load
Station-Based AC Load 2: Rectifier Bridge Load
Load 3: EV1 to EV5 (Cars)

Table 5: Simulation cases evaluated in the study. Summary of the three simulation scenarios, including irradiation, temperature, load conditions, and evaluation criteria.

THD (%)Efficiency (%)MSEComputational Time(sec)Success RateReference
3.3396–98--190--Srilakshmi et al.16
3.7292-96--130--Srilakshmi et al.17
3.4396–98--112--Srilakshmi et al.18
--------Dineshraj et al.20
--2.07E-03----Rashid et al.21
2.85>951.09E-099297%Proposed

Table 6: Performance comparison with previously reported methods. Comparison of the proposed method with published approaches in terms of THD, efficiency, mean squared error (MSE), computation time, and success rate.

Supplementary Table 1. Comparison of MPPT methods. Advantages and limitations of conventional MPPT methods and the proposed ANN-based MPPT approach.Please click here to download this file.

Supplementary Table 2. Bounds of optimization variables. Lower and upper bounds of the optimization variables used in the SBOA optimization process.Please click here to download this file.

Supplementary Table 3. MATLAB/Simulink settings and EV load specifications. Simulation environment, solver settings, execution parameters, and electrical specifications of the EV loads.Please click here to download this file.

Supplementary Table 4. SBOA-optimized parameter values. Optimized controller, filter, and converter parameters obtained using the Secretary Bird Optimization Algorithm for each simulation case.Please click here to download this file.

Supplementary Table 5. Performance indicators used to evaluate the dynamic DC bus voltage regulation of the proposed ANN–SBOA controller under the three simulation cases. Lower settling time, lower overshoot, fewer iterations to convergence, and shorter computation time indicate improved controller performance.Please click here to download this file.

Discussion

Overall, the outcomes indicate that this research work contributes to the scientific field by introducing a novel, optimized control strategy that enhances solar output, improves PQ, and supports a sustainable EV charging infrastructure appropriate for highways. The developed ANN-based MPPT with SBOA-optimized filter, converters, and controller achieves lower THD while maintaining a stable DC bus voltage for PV- and BES-supported standalone EV charging station17.

Literature studies focused on monofacial PV-powered grid-connected EV charging stations using conventional MPPT methods. However, only a few developed Bifacial PV systems with AI-based MPPT and optimal parameter selection for DC-DC converters, filters, and PI control gains, all within a single framework, to maintain DC bus voltage stability and reduce THD. Firstly, an ANN harvests maximum power from bifacial PV by utilizing both front- and rear-irradiation. It continues the duty-cycle estimation by taking irradiation and temperature as inputs. However, this helps in smoother power flow between the bifacial PV and the DC link with lower disturbances.

Next, SBOA is used to tune the PI controller gain parameters, along with selecting the L parameters listed in Supplementary Table 4, with a view to minimizing THD. A limitation of SBOA is its relatively slow convergence compared with some optimization algorithms, although it provides a balanced exploration–exploitation strategy that helps avoid local optima. However, it has its own disadvantage, such as slower convergence. Lastly, BES acts as a buffer for the power during fast changes in load and irradiation. However, the battery compensates for the power mismatches between PV power and load demand.

Figure 10, Figure 11, FIgure 12 show the regression plot, validation plot, and lower MSE with 1000 epochs and SBOA convergence for the THD objective, with 28 iterations for global convergence. The FFT analysis of the proposed system for three case studies is shown in Figure 13, which shows that the proposed controller reduces the THD to 2.23% with the rectifier, active power, and EV load. Although THD is the primary objective, SBOA optimized converter parameters using ANN-based MPPT to improve dc bus voltage regulation and stability throughout charging, as detailed in Supplementary Table 5. The proposed system strongly supports scalability for even larger EV charging stations operating in dynamically changing environments such as irradiation, temperature, and load. As the number of charging ports increases, the additional bifacial PV arrays and BES can be included for expansion without major modifications to the developed system. However, optimized filters and converters, controllers with SBOA maintain PQ effectively.

On the other hand, although SBOA successfully reduces THD, it struggles with computational complexity. Despite the encouraging outcomes, this study has its own limitations, such as: the performance of solar systems under extreme climatic conditions or rapidly fluctuating solar irradiance needs to be studied; and real-world challenges, such as sensor noise, converter losses, etc., were not fully captured in the simulation environment. Therefore, the outcomes clearly exhibit that the proposed method is a technically effective solution for the standalone EV charging station powered by PV and BES.

This article proposes an ANN-based MPPT bifacial stand-alone PV system to charge five different EV models: four with Lithium-ion batteries and one with a lead-acid battery, with support from battery storage. By applying ANN-based MPPT for a bifacial PV model, the maximum power from PVs is obtained. Additionally, SBOA is adapted to optimize the selection of PI controller and DC-DC converter gain values, as well as filter and DC-DC converter design parameters, to minimize THD. To analyze the performance of the proposed system, three test case studies were selected with combinations of standard and varying irradiance levels from 800 W/m2 to 1000 W/m2 and temperatures between 20 °C and 25 °C, along with the station base AC loads. The THD for the case studies is 2.85%, 2.26%, and 2.23%, respectively, which are much lower than those of existing methods. The results reveal that the proposed PV system is efficient in stand-alone mode for charging EVs while maintaining a stable DC bus voltage. However, the proposed method has not yet been verified through hardware implementation. Therefore, the factors that affect hardware performance, such as switching losses, communication delays, measurement errors, battery aging, and temperature effects, are not included in the simulation model. In the future, to further improve the suggested system's reliability, robustness, and scalability, the study will focus on experimental validation.

Disclosures

The authors have no conflicts of interest to declare.

Materials

List of materials used in this article
NameCompanyCatalog NumberComments
DC–AC converterMathWorksSimscape Electrical Three-Level Converter documentation: https://www.mathworks.com/help/sps/ref/threelevelconverterthreephase.htmlThree-phase, three-level neutral-point-clamped DC–AC converter model.
DC–DC converterMathWorksSimscape Electrical Boost Converter documentation: https://www.mathworks.com/help/sps/ref/boostconverter.htmlBoost DC–DC converter model used to regulate the PV output voltage.
EV1 batteryMathWorksBattery model documentation: https://www.mathworks.com/help/autoblks/ref/datasheetbattery.htmlSimulated lead-acid battery representing EV1.
EV2–EV5 batteriesMathWorksBattery model documentation: https://www.mathworks.com/help/autoblks/ref/datasheetbattery.htmlSimulated lithium-ion battery models representing EV2, EV3, EV4, and EV5.
MATLAB/SimulinkMathWorksSoftware; https://www.mathworks.com/products/simulink.htmlSoftware environment used to model and simulate the PV-powered electric-vehicle charging station.
Simscape ElectricalMathWorksSoftware; https://www.mathworks.com/products/simscape-electrical.htmlComponent library used to model the power converters, electrical network, and associated control system.
Solar panelWaaree Energies Ltd.; modeled in MATLAB/SimulinkModel WSM-315. Waaree product information: https://www.waaree.com/solar-pv-modules/; System Advisor Model: https://sam.nrel.gov/WSM-315 solar panel parameters were entered as a user-defined PV module using data from the Waaree datasheet and the NREL System Advisor Model.
Storage batteryMathWorksLead-acid battery model documentation: https://www.mathworks.com/help/simscape/ug/lead-acid-battery.htmlSimulated lead-acid battery used as the stationary energy-storage system.

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Battery Energy StorageMaximum Power Point TrackingArtificial Neural NetworkPower ManagementMATLAB SimulinkTotal Harmonic Distortion