磁饱和式可控电抗器非线性动态电磁网络模型研究

doi:10.19595/j.cnki.1000-6753.tces.241468

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摘要针对电力设备状态动态实时变化的物理实体,构建高效数学模型,是实现电力系统系统级仿真和大型电磁设备一体化分析设计的重要环节。该文以磁饱和式可控电抗器（MSCR）为分析对象,提出一种兼顾计算准确度和计算速度的电磁参数计算新方法——非线性动态电磁网络模型。首先,基于网络图论和区域离散化思想,考虑铁心非线性与磁阀漏磁,建立MSCR二维磁网络模型。其次,根据MSCR的电磁耦合关系,采用受控源的方式建立其电磁耦合等效电路,并生成MSCR非线性动态电磁网络模型。基于此,对MSCR不同磁饱和度下的绕组电流与铁心磁通进行计算。最后,将计算结果与三维有限元模型和实验测量结果比较,验证该模型的有效性。结果显示,与三维有限元模型相比,MSCR的非线性动态电磁网络模型的计算速度为其50~240倍,存储空间仅为其1/10 000~1/7 000,在满足计算精度的要求下有效地提高了计算效率,在可控电抗器的初期设计以及电力系统的系统级仿真方面具有独特的优势。

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	王田戈
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关键词 ：磁饱和式可控电抗器, 电磁网络模型, 电磁参数计算, 有限元法

Abstract：With the increasing scale of urban power grids and the application of various advanced power equipment, the comprehensive efficiency of the power system depends on the cooperation and synergy between various power equipment. Aiming at the physical entities with dynamic and real-time changes in the state of power equipment, constructing an efficient mathematical model is essential in system-level simulation of power systems and integrated design of large electromagnetic equipment. Taking the magnetically-saturated controllable reactor (MSCR) as the object, this paper proposes a nonlinear dynamic electromagnetic network model, considering the accuracy of theoretical analysis and the efficiency of parameter calculation.
Firstly, according to the structural characteristics and magnetic field distribution characteristics of MSCR, the MSCR solution domain is meshed by domain discretization. Considering the nonlinearity of the iron core, the magnetization curve model of the MSCR iron core is established by the piecewise interpolation method. The nonlinear grid parameters are calculated according to the principle of the flux tube. The MSCR equivalent magnetic network model is generated based on the loop current method.
Secondly, the electromagnetic model of circuit-magnetic circuit separation is established. The electromagnetic coupling equivalent circuit is established using the controlled source to realize the coupling connection between the circuit and the magnetic circuit. The nonlinear dynamic electromagnetic network model of MSCR is generated. Combined with the nonlinear iterative solution of the chord-cut method, the MSCR winding current and the core flux under different magnetic saturations are calculated.
Finally, a three-dimensional finite element model of MSCR is established based on the finite element method, and field-circuit coupling joint simulation is carried out. Experimental measurements are also performed on the MSCR winding current. The MSCR nonlinear dynamic electromagnetic network model is compared with the three-dimensional finite element model and experimental measurements. The MSCR nonlinear dynamic electromagnetic network model is verified.
(1) The proposed model's calculated winding current and core flux agree with the finite element model and experimental results under different magnetic saturations. (2) The calculation speed and the storage space of the proposed model in electromagnetic parameter calculation are approximately 50~240 times and 1/10 000~1/7 000 of the finite element model. The model can improve calculation efficiency and reduce cost while meeting computational accuracy. It has unique advantages in the initial design of controllable reactors and system-level simulation of power systems.

Key words： Magnetically-saturated controllable reactor (MSCR) electromagnetic network model electro- magnetic parameter calculation finite element method

收稿日期: 2024-08-16

PACS:

TM474

基金资助:国家自然科学基金（52167013）,甘肃省自然科学基金（22JR5RA320, 24JRRA244）,渭南市重点研发计划（2023ZDYFJH-303）,陕西省教育厅一般专项科研（24JK0384）资助项目

通讯作者: 田铭兴男,1968年生,教授,博士生导师,研究方向为电力系统电能质量分析与控制、电机与电器设计及其控制、电力电子技术及其应用等。E-mail: tianmingxing@mail.lzjtu.cn

作者简介: 王田戈女,1993年生,博士研究生,研究方向为可控电抗器电磁场计算、可控电抗器结构设计、磁集成技术应用。E-mail: tiange6093@163.com

引用本文:

王田戈, 田铭兴, 尹路, 田文君. 磁饱和式可控电抗器非线性动态电磁网络模型研究[J]. 电工技术学报, 2025, 40(12): 4004-4016. Wang Tiange, Tian Mingxing, Yin Lu, Tian Wenjun. Research on Nonlinear Dynamic Electromagnetic Network Model of Magnetically-Saturated Controllable Reactor. Transactions of China Electrotechnical Society, 2025, 40(12): 4004-4016.

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