Multi-Objective Structural Optimization of a 10 kV/1 MVar Superconducting Toroidal Air-Core Reactor

With the increase in urban cableization rate and cable length, the overvoltage problem caused by the capacitive effect becomes more and more serious. To limit overvoltage and achieve regional reactive power balance, shunt reactors are installed in substations. Based on a series of previous research, a type of superconducting toroidal air-core reactor is presented in this paper. The aim is to improve the power density of reactive power compensation and reduce magnetic leakage and noise pollution. In this paper, the structural optimized design of a 10 kV/1 MVar reactor is carried out based on COMSOL and MATLAB. In consideration of the usage of high-temperature superconducting tapes and AC loss of the reactor, combined with critical current, this paper uses corresponding finite element method (FEM) models and the optimal solution set is obtained via multi-objective genetic algorithm (MOGA). Finally, the solutions are analyzed economically and the set of solutions with the lowest cost is obtained, which provides a reference for the actual fabrication of a toroidal reactor in Shanghai, and can be used in the design of superconducting reactors at higher voltage levels.