|
|
Parameter Identification of Oil Paper Insulation Extended Debye Model Based on Spectrum Deconstruction Method |
Zou Yang1,2, Lin Jinhuang1, He Jin1, Weng Zuchen1, Jin Tao1 |
1. School of Electrical Engineering and Automation Fuzhou University Fuzhou 350108 China; 2. Key Laboratory of Fujian Universities for New Energy Equipment Testing Putian 351100 China |
|
|
Abstract As a classical topological circuit model, the extended Debye model is of great significance for the condition diagnosis of oil paper insulation equipment. Aiming at the uncertain branches and the random identification results of the current extended Debye model. This paper based on the branch characteristics of the model, combining the real and imaginary parts relation of repolarization rate with spectrum differentiation method, proposing a spectrum decomposition method to realize the complete identification of the extended Debye model. Undering the external electric field, the dielectric relaxation process will cover the conductivity loss, and the coupling and superposition of the internal multiple polarization maps make uncertainly to the polarization identification. It obscures the number of branches's determination of the equivalent model, and makes the identification of model parameters difficult. In order to solve those problems, firstly, the frequency domain dielectric spectrum is decoupled based on Kramers-Kronig transform. Since the resistance and infinite capacitance terms calculated result is 0, the real and imaginary parts of the complex capacitance calculated by K-K relationship only contain relaxation polarization components. Therefore it can realize the separation of the geometric branch and the polarization branch of the extended Debye model, and can also complete the quantitative extraction of the insulation resistance, the geometric capacitance and the relaxation polarization spectrum line. Then, using the spectral characteristics of resistance and capacitance, the unique parameters of insulation resistance and geometric capacitance can be determined by the least square method. Next, according to the spectrum differentiation method, the first-order differentiation of the real part of the polarization complex capacitance is carried out. Because the single relaxation polarization real part is a ladder, the differential spectrum line has a relaxation peak . The number of relaxation mechanisms can be confirmed by the number of peak points of differential spectral lines, and the unique polarization equivalent circuit parameters can be solved by using the uniqueness of peak points. Finally, the feasibility of this method is verified by existing model parameters and examples: the identification error of insulation resistance and geometric capacitance parameters is less than 1%, the polarization equivalent circuit error is less than 7%. In general, the calculated and measured spectral lines are in good agreement and the trend is consistent. The spectral deconstruction method can provide a reliable physical model for the study of the internal relaxation characteristics of oil paper insulation. Through simulation and case analysis, the following conclusions can be drawn: ①the conductance and relaxation processes can be accurately separated by K-K transformation, and the insulation resistance and geometric capacitance parameters can be determined. ②The number of polarization branches of the extended Debye model can be clearly determined by the peak number of the real part differential spectral line of the polarization complex capacitance; The parameters of each polarization branch can be identified by using the spectrum differentiation method to solve the spectrum step by step. ③The spectrum deconstruction method proposed in this paper can completely identify the parameters of oil paper insulation extended Debye model, and the results are unique within a certain accuracy range.
|
Received: 31 May 2022
|
|
|
|
|
[1] 林朝明, 叶荣, 吴国兰. 油纸绝缘混合极化的频域谱模型及参数辨识[J]. 仪器仪表学报, 2019, 40(4): 172-178. Lin Chaoming, Ye Rong, Wu Guolan.Frequency domain spectrum model and parameter identification of oil-paper insulation mixed polarization[J]. Chinese Journal of Scientific Instrument, 2019, 40(4): 172-178. [2] 谢松, 邹阳, 蔡金锭. 基于模糊粗糙集的变压器油纸绝缘状态评估[J]. 仪器仪表学报, 2017, 38(1): 190-197. Xie Song, Zou Yang, Cai Jinding.Assessment of transformer oil-paper insulation status with fuzzy rough set[J]. Chinese Journal of Scientific Instrument, 2017, 38(1): 190-197. [3] 张大宁, 刘孝为, 詹江杨, 等. 变压器油纸绝缘频域介电谱的虚部分析[J]. 电工技术学报, 2019, 34(4): 847-854. Zhang Daning, Liu Xiaowei, Zhan Jiangyang, et al.Analysis of imaginary part of frequency domain spectroscopy for oil-paper insulation transformer[J]. Transactions of China Electrotechnical Society, 2019, 34(4): 847-854. [4] 黄云程, 蔡金锭. 油纸绝缘系统回复电压函数建模及拓扑结构辨识[J]. 电力自动化设备, 2016, 36(3): 149-153. Huang Yuncheng, Cai Jinding.Return voltage function modeling and topology recognition of oil-paper insulation system[J]. Electric Power Automation Equipment, 2016, 36(3): 149-153. [5] 杨峰, 唐超, 周渠, 等. 基于等效电路的油纸绝缘系统受潮状态分析[J]. 电工技术学报, 2020, 35(21): 4586-4596. Yang Feng, Tang Chao, Zhou Qu, et al.Analyzing the moisture state of oil-paper insulation system using an equivalent circuital model[J]. Transactions of China Electrotechnical Society, 2020, 35(21): 4586-4596. [6] 刘庆珍, 张晓燕, 蔡金锭. 油纸绝缘弛豫法谱线特征量提取及老化诊断[J]. 电机与控制学报, 2020, 24(5): 124-134. Liu Qingzhen, Zhang Xiaoyan, Cai Jinding.Relaxation spectrum characteristic parameters extraction and aging diagnosis for oil-paper insulation[J]. Electric Machines and Control, 2020, 24(5): 124-134. [7] 李安娜, 蔡金锭. 油纸绝缘系统混联等效电路及参数辨识的研究[J]. 仪器仪表学报, 2014, 35(9): 2130-2136. Li Anna, Cai Jinding.Study on parallel-series equivalent circuit and parameters identification of oil-paper insulation system[J]. Chinese Journal of Scientific Instrument, 2014, 35(9): 2130-2136. [8] 蔡金锭, 刘永清, 蔡嘉. 油纸绝缘变压器极化等效电路分析及其老化评估[J]. 电工技术学报, 2016, 31(15): 204-212. Cai Jinding, Liu Yongqing, Cai Jia.Analysis of equivalent circuit of oil-paper insulation transformer relaxation response and aging evaluation[J]. Transactions of China Electrotechnical Society, 2016, 31(15): 204-212. [9] 蔡锋, 江修波, 蔡金锭. 应用极化电流辨识油纸绝缘系统等值电路参数[J]. 高压电器, 2016, 52(8): 64-70. Cai Feng, Jiang Xiubo, Cai Jinding.Extended Debye equivalent circuit parameter identification based on polarization current[J]. High Voltage Apparatus, 2016, 52(8): 64-70. [10] 蔡金锭, 严欣, 蔡嘉. 去极化电流微分法在求解变压器极化等效电路参数中的应用[J]. 高电压技术, 2016, 42(10): 3172-3177. Cai Jinding, Yan Xin, Cai Jia.Application of differential depolarization current method for solving equivalent polarization circuit parameters of transformer[J]. High Voltage Engineering, 2016, 42(10): 3172-3177. [11] 蔡金锭, 曾静岚. 基于二次时域微分解析法的油纸绝缘介质响应参数辨识[J]. 高电压技术, 2017, 43(6): 1937-1942. Cai Jinding, Zeng Jinglan.Parameter identification for dielectric response of oil-paper insulation based on second time-differential analysis[J]. High Voltage Engineering, 2017, 43(6): 1937-1942. [12] 叶荣, 蔡金锭. 油纸绝缘极化等效电路的时域介电谱三次微分解析法[J]. 仪器仪表学报, 2018, 39(6): 112-119. Ye Rong, Cai Jinding.Analytic method of cubic differential in time domain dielectric spectroscopy for oil-paper insulation polarization equivalent circuit[J]. Chinese Journal of Scientific Instrument, 2018, 39(6): 112-119. [13] 饶显杰, 周凯, 谢敏, 等. 稳定图法在极化等效电路参数辨识中的应用[J]. 电工技术学报, 2020, 35(10): 2248-2256. Rao Xianjie, Zhou Kai, Xie Min, et al.Application of stabilization diagram method for solving polarization equivalent circuit parameters[J]. Transactions of China Electrotechnical Society, 2020, 35(10): 2248-2256. [14] 杜林, 杨峰, 蔚超, 等. 基于频域介电谱的油纸绝缘宽频等效模型参数辨识研究[J]. 电工技术学报, 2018, 33(5): 1158-1166. Du Lin, Yang Feng, Wei Chao, et al.Parameter identification of the wide-band model of oil-impregnated paper insulation using frequency domain spectroscopy[J]. Transactions of China Electrotechnical Society, 2018, 33(5): 1158-1166. [15] Olmi R, Bittelli M.Dielectric data analysis: recovering hidden relaxations by fourth-order derivative spectroscopy[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2015, 22(6): 3334-3340. [16] 雷清泉, 刘关宇. 如何理解工程电介质中极化与电导两个基本物理过程及其测量的科学原理与方法[J]. 中国电机工程学报, 2018, 38(23): 6769-6789, 7113. Lei Qingquan, Liu Guanyu.How to understand the two basic physical processes of polarization and conductance in engineering dielectrics and scientific principles and methods of their measurement[J]. Proceedings of the CSEE, 2018, 38(23): 6769-6789, 7113. [17] 高岩峰, 卢毅, 梁曦东, 等. Kramers-Kronig变换在介电响应分析中的数值计算方法、意义及应用[J]. 中国电机工程学报, 2020, 40(1): 318-329, 398. Gao Yanfeng, Lu Yi, Liang Xidong, et al.Numerical computational method, application and significance of the Kramers-Kronig transform in the analysis of dielectric response[J]. Proceedings of the CSEE, 2020, 40(1): 318-329, 398. [18] 赵孔双. 介电谱方法及应用[M]. 北京: 化学工业出版社, 2008. [19] 高岩峰, 梁曦东, Chalashkanov N M, 等. 等效电路模型分析介电响应的方法、意义及应用[J]. 中国电机工程学报, 2018, 38(1): 300-308, 368. Gao Yanfeng, Liang Xidong, Chalashkanov N M, et al.Application and significance of the equivalent circuit method in the analysis of dielectric response[J]. Proceedings of the CSEE, 2018, 38(1): 300-308, 368. |
|
|
|