直流偏磁计算与限流电阻优化配置方法研究

Study on DC Magnetic Biasing Calculation and Optimized Configuration of Current Limiting Resistor

提出了交流电网中直流分布的解耦计算方法,可大大简化直流偏磁分析。在此基础上建立了直流偏磁限流电阻优化配置模型,其约束条件为满足交流电网中变压器直流偏磁电流不超限值和偏磁限流电阻不超限值,从整体上优化偏磁限流电阻的配置,实现抑制直流偏磁电流、减少限流电阻装置对系统的影响和配置费用较少的优化目标。讨论了优化模型的求解方法,给出了基于粒子群优化算法的混合优化方法。根据最优解存在的必要条件,给出了基于广义逆的优化解最优性判别方法。通过算例验证了算法的实用性和有效性。

The paper proposes a decoupling calculation method for DC distribution in AC power networks to greatly simplify DC magnetic bias analysis. On this basis, a model of DC magnetic bias and optimized config- uration of current limiting resistor is established, the restraint condition of which is that DC bias current and current limiting resistor of transformer do not exceed the limiting value, and hence configuration of current lim- iting resistor is optimized comprehensively, DC magnetic biasing current is suppressed, impact of current lim- iting resistor on the system is reduced and the cost for configuration is reduced. The paper discusses calcula- tion method for the model optimization and presents a mixed optimizant method based on particle swarm opti- mization calculation. According to necessary condition for optimal solution existence, the paper proposes dis- crimination method of superiority based on generalized inverse matrix; it validates practice and effectiveness of the calculation method via examples.