New Cascaded 1+PII2D/FOPID Load Frequency Controller for Modern Power Grids including Superconducting Magnetic Energy Storage and Renewable Energy

IF 3.6 2区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
F. El-Sousy, M. Aly, Mohammed H. Alqahtani, Ali S. Aljumah, Sulaiman Z. Almutairi, Emad A. Mohamed
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引用次数: 1

Abstract

Having continuous decrease in inertia and being sensitive to load/generation variation are considered crucial challenging problems for modern power grids. The main cause of these problems is the increased penetration capacities of renewables. An unbalanced load with generation power largely affects grids’ frequency and voltage profiles. Load frequency control (LFC) mechanisms are extensively presented to solve these problems. In the literature, LFC methods are still lacking in dealing with system uncertainty, parameter variation, structure changes, and/or disturbance rejection. Therefore, this paper proposes an improved LFC methodology using the hybrid one plus proportional integral double-integral derivative (1+PII2D) cascaded with fractional order proportional-integral-derivative (FOPID), namely, the proposed 1+PII2D/FOPID controller. The contribution of superconducting magnetic energy storage devices (SMES) is considered in the proposed design, also considering hybrid high-voltage DC and AC transmission lines (hybrid HVDC/HVAC). An optimized design of proposed 1+PII2D/FOPID controller is proposed using a new application of the recently presented powerful artificial rabbits optimizers (ARO) algorithm. Various performance comparisons, system changes, parameter uncertainties, and load/generation profiles and changes are considered in the proposed case study. The results proved superior regulation of frequency using proposed 1+PII2D/FOPID control and the ARO optimum parameters.
用于现代电网的新型级联1+PII2D/FOPID负载频率控制器,包括超导磁储能和可再生能源
惯性的持续降低和对负载/发电变化的敏感被认为是现代电网的关键挑战性问题。这些问题的主要原因是可再生能源渗透能力的提高。发电功率的不平衡负载在很大程度上影响电网的频率和电压分布。负载频率控制(LFC)机制被广泛提出以解决这些问题。在文献中,LFC方法在处理系统不确定性、参数变化、结构变化和/或扰动抑制方面仍然缺乏。因此,本文提出了一种改进的LFC方法,即所提出的1+PII2D/FOPID控制器,该方法使用与分数阶比例积分导数(FOPID)级联的混合一加比例积分-二重积分导数(1+PII2D)。在拟议的设计中,考虑了超导磁储能装置(SMES)的贡献,还考虑了高压直流和交流混合输电线路(混合HVDC/HVAC)。利用最近提出的强大的人工兔子优化器(ARO)算法的新应用,提出了所提出的1+PII2D/FOPID控制器的优化设计。在拟议的案例研究中,考虑了各种性能比较、系统变化、参数不确定性以及负荷/发电概况和变化。结果证明,采用所提出的1+PII2D/FOPID控制和ARO最优参数可以实现良好的频率调节。
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来源期刊
Fractal and Fractional
Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
CiteScore
4.60
自引率
18.50%
发文量
632
审稿时长
11 weeks
期刊介绍: Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.
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