Varshney T, Waghmare A V, Singh V P, Ramu M, Patnana N, Meena V P, Azar Ahmad Taher, Hameed Ibrahim A
Department of EECE, Sharda University, Greater Noida, Uttar Pradesh, India.
Department of Electrical Engineering, Malaviya National Institute of Technology, Jaipur, Rajasthan, 302017, India.
Sci Rep. 2024 May 17;14(1):11267. doi: 10.1038/s41598-024-61945-z.
Multi-criteria decision-making (MCDM) presents a significant challenge in decision-making processes, aiming to ascertain optimal choice by considering multiple criteria. This paper proposes rank order centroid (ROC) method, MCDM technique, to determine weights for sub-objective functions, specifically, addressing issue of automatic generation control (AGC) within two area interconnected power system (TAIPS). The sub-objective functions include integral time absolute errors (ITAE) for frequency deviations and control errors in both areas, along with ITAE of fluctuation in tie-line power. These are integrated into an overall objective function, with ROC method systematically assigning weights to each sub-objective. Subsequently, a PID controller is designed based on this objective function. To further optimize objective function, Jaya optimization algorithm (JOA) is implemented, alongside other optimization algorithms such as teacher-learner based optimization algorithm (TLBOA), Luus-Jaakola algorithm (LJA), Nelder-Mead simplex algorithm (NMSA), elephant herding optimization algorithm (EHOA), and differential evolution algorithm (DEA). Six distinct case analyses are conducted to evaluate controller's performance under various load conditions, plotting data to illustrate responses to frequency and tie-line exchange fluctuations. Additionally, statistical analysis is performed to provide further insights into efficacy of JOA-based PID controller. Furthermore, to prove the efficacy of JOA-based proposed controller through non-parametric test, Friedman rank test is utilized.
多准则决策（MCDM）在决策过程中提出了重大挑战，旨在通过考虑多个准则来确定最优选择。本文提出了排序重心（ROC）方法，这是一种MCDM技术，用于确定子目标函数的权重，具体为解决两区域互联电力系统（TAIPS）中的自动发电控制（AGC）问题。子目标函数包括两个区域频率偏差和控制误差的积分时间绝对误差（ITAE）以及联络线功率波动的ITAE。这些被整合到一个总体目标函数中，ROC方法系统地为每个子目标分配权重。随后，基于该目标函数设计了一个PID控制器。为了进一步优化目标函数，实施了Jaya优化算法（JOA）以及其他优化算法，如基于师生的优化算法（TLBOA）、卢斯 - 亚科拉算法（LJA）、单纯形算法（NMSA）、象群优化算法（EHOA）和差分进化算法（DEA）。进行了六个不同的案例分析，以评估控制器在各种负载条件下的性能，绘制数据以说明对频率和联络线交换波动的响应。此外，进行统计分析以进一步深入了解基于JOA的PID控制器的有效性。此外，为了通过非参数检验证明基于JOA的所提控制器的有效性，使用了弗里德曼秩检验。
