超高压电抗器电感计算灰箱模型与优化  

Grey Box Model and Optimization for Inductance Calculation of EHV Reactors

作　　者：金亮[1,2] 祝登锋 杨庆新[1,2] 张俊杰[3] 巩德鑫 Jin Liang;Zhu Dengfeng;Yang Qingxin;Zhang Junjie;Gong Dexin(State Key Laboratory of Reliability and Intelligence of Electrical Equipment Hebei University of Technology,Tianjin,300400,China;Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability of Hebei Province Hebei University of Technology,Tianjin,300400,China;Baoding Tianwei BaoBian Electric Co.Ltd,Baoding,071056,China)

机构地区：[1]省部共建电工装备可靠性与智能化国家重点实验室(河北工业大学),天津300400 [2]河北省电磁场与电器可靠性重点实验室(河北工业大学),天津300400 [3]保定天威保变电气股份有限公司,保定071056

出　　处：《电工技术学报》2022年第23期6093-6103,共11页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金面上项目(51977148);国家自然科学基金重大研究计划(92066206)资助;中央引导地方科技发展专项自由探索项目(226Z4503G)。

摘　　要：现有的超高压电抗器电感解析和经验计算公式误差大于工程要求的1%,电感计算误差大时会导致电抗器的优化结果较差。该文基于电磁原理建立修正电感计算经验公式,将误差降低至约1%,并建立先验电磁原理的可辨识电感计算灰箱模型。基于数值模拟得到电感样本数据集,通过引入自适应变异因子和最优个体,建立改进差分进化算法并对灰箱模型进行参数识别,得到0.1%误差的高精度电感计算模型。使用带精英策略的快速非支配排序遗传算法(NSGA-Ⅱ)对超高压电抗器进行优化设计,将电抗器的导线质量和损耗分别减少了21.4%、18.6%。实验证明了经参数辨识得到的电感计算灰箱模型的正确性和优化方法的有效性。该文建立的电抗器电感参数辨识方法为高精度电感计算提供了一条新的理论和实践思路。The error of the existing EHV reactor inductance analysis and empirical calculation formula is greater than 1%of the engineering requirements.When the inductance calculation error is large,the optimization result of the reactor will be poor.Based on the electromagnetic principle,the revised inductance calculation empirical formula is established to reduce the error to about 1%,and the identifiable inductance calculation grey box model based on the prior electromagnetic principle is established.Based on the inductance sample data set obtained by numerical simulation,by introducing the adaptive variation factor and the optimal individual,an improved differential evolution algorithm was established and the parameters of the grey box model were identified,and a high-precision inductance calculation model with an error of 0.1%was obtained.Using the NSGA-II algorithm to optimize the design of the ultra-high voltage reactor,the wire quality and loss of the reactor were reduced by 21.4%and 18.6%,respectively.The experiment proves the correctness of the grey box model of inductance calculation obtained by parameter identification and the effectiveness of the optimization method.The reactor inductance parameter identification method established in this paper provides a new theoretical and practical idea for high-precision inductance calculation.

关 键 词：超高压电抗器 灰箱模型 差分进化算法 参数辨识 少样本 

分 类 号：TM471[电气工程—电器]