【摘要】 磁阀式可控电抗器(magnetic-valve controllable reactor,MCR)作为一种重要的无功补偿装置，在电力系统中应用广泛。由于铁芯饱和的非线性特性会产生大量谐波，该文提出了一种曲形磁阀式可控电抗器及其谐波优化方法，以最小化谐波输出。同时推导了MCR的通用谐波数学模型，模型表明磁阀的最大最小截面积比和形状决定了谐波含量；详细阐述了谐波优化的原理，并用变分法推导了各次谐波优化中最大最小截面积比的约束条件；利用高斯勒让德积分得到了总谐波畸变率的简化评价函数，结合粒子群优化算法得到了不同面积比下最优磁阀曲线的数值解，最优曲形磁阀获得了MCR的最低谐波输出。以面积比2.7为例，在理论、仿真和试验上将曲线磁阀与多级磁阀进行对比，曲形磁阀总谐波约为2.92%满足行业标准，而多级磁阀约为3.12%不满足标准，验证了该文方法的优越性与正确性。更多还原

【Abstract】 Magnetic-valve controllable reactor(MCR), as an important reactive power compensation device, is widely used in power system. Due to the nonlinear characteristics of its core saturation, a large number of harmonics will be generated. This paper presents a curvilinear MCR and its harmonic optimization method to minimize harmonic output;meanwhile, a general harmonic mathematical model of MCR is derived. The model shows that the ratio of maximum cross-sectional area to minimum cross-sectional area and shape of the magnetic valve determine the harmonic content.The principle of harmonic optimization is described in detail, and the constraint of area ratio on harmonic optimization is derived by a variational method. The simplified evaluation function of total harmonic distortion rate is obtained by the Gauss Legendre integral, and the numerical solution of the optimal curvilinear magnetic valve under different area ratios is obtained by combining the particle swarm optimization algorithm. The optimal curvilinear magnetic valve obtains the lowest harmonic output of MCR. The area ratio of 2.7 is taken as an example, and the curvilinear magnetic valve is compared with the multi-stage magnetic valve in theory, simulation and experiment. The total harmonic of the curvilinear magnetic valve is about 2.92%, which meets the industry standard, while the multi-stage magnetic valve is about 3.12%,which does not meet the standard. Finally, the superiority and correctness of the method in this paper are verified.更多还原