电容器串联电抗消除谐振的最大值最小优化

Minimax optimization of reactance connected in series on capacitor to eliminate resonance

针对变电站并联电容器合理的串联电抗率，建立了适用于220 kV 和110 kV 变电站的全参数谐波电路和模型。该模型包含变电站短路阻抗、变压器、电容器、负荷以及谐波源，提出了以负荷母线谐波电压放大倍数等反映谐振程度的目标函数。采用最大值最小优化方法，使目标函数在全部电网状态空间中的最大值通过调整电容器串联电抗率优化后达到最小，并对电容器电抗率的技术经济性进行了分析。计算结果表明：12%电抗率消除谐振的效果最好，并具有普适性；4.2%~4.5%电抗率的消除谐振效果其次，但具有更好技术经济价值，适应于大多数的220 kV 和110 kV 变电站。

For the reasonable series reactance rate in capacitor of substations, the full parametric harmonic circuit and model for 220 kV and 110 kV substations are established, which consists of short impedance, transformer, capacitor, load, and harmonic source, and the resonance objective function that reflect the degree of resonance such as harmonic voltage amplification factor on load bus, etc. is given. With minimax optimization, the maximum values of objective function in all the power grid parameter space are minimized by changing reactance rate, and the technical and economic characteristics of the reactance rate of the capacitor are analyzed. The calculation results show that resonance is eliminated with best effect and generality by the rate 12%; resonance is eliminated with second effect by rate 4.2% ～ 4.5%, but the rate 4.2% ～ 4.5% one has better technical and economic value and is suitable for most of 220 kV and 110 kV substation.