Firefly Algorithm Based Optimized PID Controller for Stability Analysis of DC-DC SEPIC Converter

Md. Rafid Kaysar Shagor, Al Jaber Mahmud, M. M. Nishat, Fahim Faisal, Mehedi Hasan Mithun, Md. Ashik Khan
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引用次数: 9

Abstract

Firefly Algorithm (FA) refers to a swarm intelligence-based technique which appears to be one of the most influential optimization algorithms in designing optimized controllers for power converters in recent years. Hence, an optimized PID controller is designed based on this algorithm, and stability analysis and performance enhancement of the closed-loop Single-Ended Primary Inductor Converter (SEPIC) are demonstrated comprehensively. Using the state space average technique, the SEPIC converter is mathematically modeled, and the transfer function for the closed-loop system is obtained. The performance parameters noted in the analysis of the system's stability are the percentage of overshoot (%OS), rise time (Tr), settling time (Ts), and peak amplitude (PA). However, fitness functions like integral absolute error (IAE), integral squared error (ISE), integral time squared error (ITSE), integral time absolute error (ITAE) are considered in this optimization process. Step responses based on the gain parameters are attained, and a comparative study with performance evaluation is shown between the optimized and conventional PID controller. MATLAB and Simulink are utilized for simulation.
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基于萤火虫算法的优化PID控制器用于DC-DC SEPIC变换器稳定性分析
萤火虫算法(Firefly Algorithm, FA)是一种基于群体智能的优化算法,是近年来在变流器优化控制器设计中最具影响力的优化算法之一。因此,基于该算法设计了优化PID控制器,并对闭环单端初级电感变换器(SEPIC)的稳定性分析和性能增强进行了全面论证。利用状态空间平均技术对SEPIC变换器进行数学建模,得到闭环系统的传递函数。系统稳定性分析中注意到的性能参数是超调百分比(%OS)、上升时间(Tr)、稳定时间(Ts)和峰值幅度(PA)。在优化过程中考虑了积分绝对误差(IAE)、积分平方误差(ISE)、积分时间平方误差(ITSE)、积分时间绝对误差(ITAE)等适应度函数。得到了基于增益参数的阶跃响应,并对优化后的PID控制器与传统PID控制器进行了性能评价和比较研究。利用MATLAB和Simulink进行仿真。
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