在根据谐波要求确定了变压器式可控电抗器（CSRT）功率控制级数的基础上，把磁势平衡方程和支路电流方程相结合，得到了关于绕组电流和限流电抗的增广方程，再根据控制绕组顺次短路工作的特点，利用递推算法求出了CSRT的各级限流电抗值。利用多绕组变压器多边形等值电路模型，以MATLAB/PSB为平台，建立了CSRT的仿真模型。仿真算例的结果说明，CSRT不仅能够满足谐波因数指标的要求，而且具有分级平滑调节功率的控制特性和很快的反应速度。

根据克朗的张量电网络理论，建立了变频器-无刷双馈电机调速系统的数字仿真模型，该模型通过二次网络变换，可自动处理由开关元件组成的时变拓扑结构网络，并通过与无刷双馈电机方程的耦合，建立了系统的统一状态方程，实现了变频器—无刷双馈电机调速系统的快速仿真。

本文采用基于张量电网络所建立的数字仿真模型，对11相无刷励磁机进行了仿真分析。此模型适于处理无刷励磁机所组成的时变网络系统。所需电感参数用二维有限元法算得。最后得到11相无刷励磁机的详细仿真结果，并进行了验证。

应用磁荷面密度及磁化强度的有关理论， 建立二者混合的σ*-M积分方程模型，使用三次样条插值技术对非线性方程进行迭代求解。利用该法对TEAM PROBLEM 13进行了计算验证，磁场的计算值和测试值吻合较好，证明了该方法的有效性。

This paper clarifies the operating principles of a controllable reactor of transformer type (CRT). In nature, a CRT is equivalent to a multi-winding transformer for which the low-voltage windings (control windings) operate at short-circuited states in turn. This kind of reactor possesses such advantages as smooth power regulation, low current harmonic content, and fast response. Taking account of the coupling of the control windings, this paper examined the current harmonic content for the work winding by Fourier series decomposition, and thus derived the current harmonic coefficients. Based on the solution of the branch current equation of a multi-winding transformer, and introduction of the concept of equivalent winding impedance, a polygon-type equivalent circuit is proposed for a multi-winding transformer. Subsequently, formulae for the branch impedances of the equivalent circuit are presented. According to the harmonic content constraints, the number of control steps is determined. Then, by combining the MMF and branch current equations, an expanded equation about the winding currents and current-limiting reactances is obtained. According to the feature that the control windings are short-circuited in turn, the current-limiting reactances are calculated for each control winding step by step. At last, based on the proposed equivalent circuit for a multi-winding transformer, a simulation model for a CRT is fabricated with MATLAB/SIMULINK/PSB. The simulation results confirmed the presented work, which underpins the further analysis and design of a CRT.