Purpose

The purpose of this paper is to improve transient response and dynamic performance of automatic voltage regulator (AVR).

Design/methodology/approach

This paper proposes a novel fractional order proportional–integral–derivative plus derivative (PI^λD^µD^µ2) controller called FOPIDD for AVR system. The FOPIDD controller has seven optimization parameters and the equilibrium optimizer algorithm is used for tuning of controller parameters. The utilized objective function is widely preferred in AVR systems and consists of transient response characteristics.

Findings

In this study, results of AVR system controlled by FOPIDD is compared with results of proportional–integral–derivative (PID), proportional–integral–derivative acceleration, PID plus second order derivative and fractional order PID controllers. FOPIDD outperforms compared controllers in terms of transient response criteria such as settling time, rise time and overshoot. Then, the frequency domain analysis is performed for the AVR system with FOPIDD controller, and the results are found satisfactory. In addition, robustness test is realized for evaluating performance of FOPIDD controller in perturbed system parameters. In robustness test, FOPIDD controller shows superior control performance.

Originality/value

The FOPIDD controller is introduced for the first time to improve the control performance of the AVR system. The proposed FOPIDD controller has shown superior performance on AVR systems because of having seven optimization parameters and being fractional order based.

中文翻译：

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使用平衡优化器的 AVR 系统的新型分数阶 PID 加微分 (PIλDµDµ2) 控制器

目的

本文的目的是提高自动电压调节器（AVR）的瞬态响应和动态性能。

设计/方法/方法

本文提出了一种新的分数阶比例-积分-微分加微分 ( PI ^λ D ^µ D ^{µ 2} ) 控制器，称为 AVR 系统的 FOPIDD。FOPIDD 控制器有七个优化参数，平衡优化器算法用于调节控制器参数。所使用的目标函数在 AVR 系统中被广泛采用，并且包含瞬态响应特性。

发现

在本研究中，FOPIDD 控制的 AVR 系统的结果与比例-积分-微分 (PID)、比例-积分-微分加速度、PID 加二阶微分和分数阶 PID 控制器的结果进行了比较。FOPIDD 在瞬态响应标准（如稳定时间、上升时间和过冲）方面优于比较控制器。然后，对带有FOPIDD控制器的AVR系统进行频域分析，结果令人满意。此外，还进行了鲁棒性测试，用于评估FOPIDD控制器在扰动系统参数下的性能。在稳健性测试中，FOPIDD 控制器显示出优越的控制性能。

原创性/价值

首次引入FOPIDD控制器，提高AVR系统的控制性能。由于具有七个优化参数并且基于分数阶，所提出的 FOPIDD 控制器已在 AVR 系统上显示出卓越的性能。