磁控高抗非线性电路磁路模型及频域算法研究

Research on Non-linear Circuit Magnetic Domain Model and Frequency Algorithm for Magnetic Controlled Shunt Reactor

为细化提升磁控高抗复杂磁路特性的仿真精度,该文探索磁控高抗磁路设备偏磁和磁滞特性及其频域算法,将定点技术引入到非线性磁路模型当中,引入定点磁阻理论克服考虑磁滞效应时非线性铁心磁阻的不连续性。基于定点谐波平衡法建立磁控高抗电路–磁路频域耦合方程,通过对该方对该方程右端类磁动势M进行迭代计算,得到磁控高抗绕组励磁电流与铁心柱的磁通,实现对磁控高抗铁心磁滞特性的模拟。对不同结构的磁控高抗进行直流偏磁实验,通过励磁电流计算结果与测量结果的比较,验证该方法的准确性与有效性。该算法可以将各次谐波解耦并实现非线性方程的快速有效求解,有利于大规模非线性电路、磁路问题中实现谐波分解后的并行计算。

In order to improve the simulation accuracy of complex magnetic circuit characteristics of magnetic controlled shunt reactor,magnetic bias and hysteresis characteristics and frequency domain model/algorithm of magnetic controlled shunt reactor equipment were explored and researched in this paper.The fixed-point technique was introduced in the nonlinear magnetic circuit model to present the fixed-point reluctance,which could overcome the discontinuity of the nonlinear magnetic reluctance when hysteresis effects were involved.The magnetic circuit model coupled with electric circuits for magnetic controlled shunt reactor was presented based on the fixed-point harmonic-balanced method.The magnetizing current and magnetic flux were computed by updating the magneto motive-force-like quantity in nonlinear iterations.Magnetic controlled shunt reactor in different structures were tested under DC-biased condition to obtain the measured magnetizing currents,which were compared with the computational results to prove the effectiveness and accuracy of the proposed method.The algorithm can decouple each harmonic and solve the non-linear equation quickly and effectively,which is beneficial to the parallel computation of large-scale non-linear circuit and magnetic circuit problems after harmonic decomposition.