Gupta Monika, Tiwari P M, Viral R K, Shrivastava Ashish, Zneid Basem Abu, Hunko Iryna
Department of Electrical and Electronics Engineering, Amity University, Noida, India.
Skill Faculty of Engineering and Technology, Shri Vishwakarma Skill University, Palwal, Haryana, India.
Sci Rep. 2025 Aug 7;15(1):28869. doi: 10.1038/s41598-025-10617-7.
This paper introduces a robust and adaptive control framework that integrates a Proportional-Integral-Derivative (PID) controller with the bio-inspired Grey Wolf Optimization (GWO) algorithm for real-time tuning of controller parameters in grid-connected photovoltaic (PV) inverter systems. Conventional controllers such as P and PI are widely used in PV applications due to their simplicity, but they exhibit notable limitations in dynamic environments, including increased Total Harmonic Distortion (THD), slower transient response, and poor voltage regulation-particularly under variable irradiance conditions. The proposed GWO-PID method overcomes these limitations by leveraging the GWO algorithm's global search capability to dynamically optimize the PID gains (K, K, K) based on a composite fitness function that minimizes Mean Squared Error (MSE) and THD. The system architecture, simulated in MATLAB/Simulink, comprises a 50 kW PV array with a boost converter employing an Incremental Conductance (INC) Maximum Power Point Tracking (MPPT) algorithm, a three-phase voltage source inverter, RLC filters, and a dual-loop (voltage and current) control system synchronized with the utility grid through a Phase-Locked Loop (PLL). The GWO algorithm iteratively refines PID parameters to achieve real-time adaptation to environmental fluctuations. Under standard irradiance (1000 W/m²), the GWO-PID controller achieved a rise time of 0.025 s, settling time of 0.035 s, THD of 3.7%, and MSE of 0.25 kW², while maintaining a stable DC-link voltage of 500 V, thereby ensuring compliance with IEEE 519-2014 power quality standards. Across irradiance levels ranging from 400 W/m² to 1000 W/m², the GWO-PID controller consistently maintained DC-link voltage stability and minimized oscillations in PV voltage and current. Compared to traditional PI and P controllers, the proposed method reduced settling time by over 45%, improved power tracking accuracy, and significantly lowered harmonic distortion. Furthermore, it ensured a power factor close to unity and exhibited excellent frequency stability under transient disturbances. Simulation results also confirm the superior performance of the GWO-PID controller in managing active and reactive power exchange, minimizing overshoot, and maintaining synchronization with the grid, even during rapid environmental transitions. By embedding intelligent metaheuristic optimization into a classical PID framework, this work advances the state of inverter control strategies for PV systems. The proposed GWO-PID technique provides a scalable, efficient, and real-time solution that enhances grid compliance, energy quality, and system stability, marking a key advancement in adaptive control for smart grid and microgrid applications.
本文介绍了一种强大的自适应控制框架,该框架将比例积分微分(PID)控制器与受生物启发的灰狼优化(GWO)算法相结合,用于并网光伏(PV)逆变器系统中控制器参数的实时调整。传统控制器如P和PI由于其简单性而在光伏应用中广泛使用,但它们在动态环境中表现出显著局限性,包括总谐波失真(THD)增加、瞬态响应较慢以及电压调节不佳,特别是在可变辐照度条件下。所提出的GWO-PID方法通过利用GWO算法的全局搜索能力,基于最小化均方误差(MSE)和THD的复合适应度函数动态优化PID增益(Kp、Ki、Kd),克服了这些局限性。在MATLAB/Simulink中模拟的系统架构包括一个50kW的光伏阵列、采用增量电导(INC)最大功率点跟踪(MPPT)算法的升压转换器、三相电压源逆变器、RLC滤波器以及通过锁相环(PLL)与公用电网同步的双环(电压和电流)控制系统。GWO算法迭代优化PID参数,以实现对环境波动的实时适应。在标准辐照度(1000W/m²)下,GWO-PID控制器的上升时间为0.025s,稳定时间为0.035s,THD为3.7%,MSE为0.25kW²,同时保持500V的稳定直流链路电压,从而确保符合IEEE 519-2014电能质量标准。在400W/m²至1000W/m²的辐照度范围内,GWO-PID控制器始终保持直流链路电压稳定,并将光伏电压和电流的振荡降至最低。与传统的PI和P控制器相比,该方法将稳定时间缩短了45%以上,提高了功率跟踪精度,并显著降低了谐波失真。此外,它确保功率因数接近1,并在瞬态干扰下表现出出色的频率稳定性。仿真结果还证实了GWO-PID控制器在管理有功和无功功率交换、最小化超调以及与电网保持同步方面的卓越性能,即使在快速环境转变期间也是如此。通过将智能元启发式优化嵌入经典PID框架,这项工作推动了光伏系统逆变器控制策略的发展。所提出的GWO-PID技术提供了一种可扩展、高效且实时的解决方案,增强了电网合规性、能源质量和系统稳定性,标志着智能电网和微电网应用中自适应控制的一项关键进展。