阐述了变压器式可控并联电抗器CSRT（ControllableShunt Reactor of Transformer Type）的基本工作原理，指出CSRT本质上是工作于分级短路状态的多绕组变压器，具有功率连续平滑可调、谐波电流小和响应速度快的优点。文章定义了容量递增系数，当CSRT 的额定容量已知时，级间容量递增系数决定了各级容量，是分析CSRT的一个重要概念。在考虑了绕组之间耦合的情况下，应用傅立叶级数分解方法对工作绕组电流的谐波含量进行了分析，推导了谐波因数的计算公式。这些公式揭示了谐波因数与容量递增系数和晶闸管触发角之间的定量关系，由此可得到满足电网谐波要求的功率控制级数和各级容量的计算公式，为CSRT的分析、设计打下了基础。

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。

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。

The image method has been used for calculating the three dimensional magnetic field and parameters of the superconducting ac generator. It can represent the actual shape of the coils and take account of the conductor cross-section. The influence of the magnetic and conducting Dounaaries are represented approximately by the images in the boundaries and the influence of either conical or stepped boundaries in the end region is represented by forming images on a conical surface with adjustable coning in association with the boundary condition that lead to the possibility to improve the accuracy of the calculation.

The current simulation method is presented for calculating three dimensional magnetic field of superconducting ac generator. The method represents the influence of the boundaries by a large number of current loops appropriately positioned at a distance behind the boundary surface so that the boundary conditions on the actual surface of the boundaries are satisfied. The calculated results obtained for the model of the superconducting ac generator are proved to be closely consistent with the measured values.

This paper derives the relative air-gap-specific permeance distribution function by Schwarz-Christoffel Transformation, considering the effect of slotting. Neglecting the iron saturation, and employing the analytical algorithm for partial differential equations, efficient and effective analytical calculations of no-load air-gap magnetic field distribution, armature field distribution, and phase electromotive force (EMF), are demonstrated, considering the stator slots. Subsequently, based on the main circuit topology of a brushless dc motor (BLDCM), the field-circuit coupling model is constructed for the motor, and then the phase current waveforms and load air-gap magnetic field distribution at any time are determined. Consequently, the instantaneous electromagnetic torque is computed, which underpins the quantitative analysis of torque ripple and the pulsation induced by commutation. Hence, the present work paves the way to precise prediction of the motor's performance and acoustic noise. It is a powerful tool for the design of surface permanent magnet brushless dc motors.

This paper presents modeling and simulation of the operation of an 11-phase brushless exciter. The analytical method is based on Kron's tensor method, which is developed for dealing efficiently with the time-varying topology of an exciter circuit during a digital computer solution. The inductances, which are variable with rotor position, are calculated by the two-dimensional finite-element method. The detailed information (normal and fault cases) on the performance of the brushless exciter is obtained, which is beneficial to design engineers. The approach is suitable for both normal and fault cases. As a result, agreement of calculated values with test results shows the validity of the method of calculation and theoretical analysis presented.

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.

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。