计及不确定性的电力系统电压波动分析方法

Voltage fluctuation analysis method considering uncertainties of power system

针对输电网中新负荷需求和新能源发电出力不确定性带来的电压波动问题,基于电流方程比功率方程非线性程度低、线性化误差小的特点,提出了一种基于注入电流灵敏度的电压波动区间分析方法。该方法有效计及了新负荷有功和无功需求的不确定性以及新能源发电输出功率的不确定性,并采用注入电流灵敏度减小了对潮流方程直接线性化带来的误差,然后利用区间线性方程组高斯消去法进行迭代求解,从而准确快速地得到功率不确定情况下各节点电压的波动区间。通过新英格兰10机39节点系统和某500 kV实际输电网进行仿真分析,并与蒙特卡洛法计算结果进行对比,验证了所提方法的高效性和精确性。

Aiming at the voltage fluctuations caused by the uncertainties of new load demand and new energy generation in transmission network,an interval analysis method of voltage fluctuation is proposed based on the sensitivity of injecting current since the current equation has lower nonlinear degree and smaller linearization error than power equation,which effectively takes consideration of the active and reactive demand uncertainties of new load and the power-output uncertainty of new energy generation, applies the sensitivity of injecting current to avoid the linearization errors of power-flow equations,and adopts the Gaussian elimination method for solving the interval linear equations to accurately and rapidly obtain the voltage fluctuation range of each node with uncertain power. Simulative analysis is performed for New England 10-machine 39-bus system and a real 500 kV transmission system,and the simulative results are compared with the ealeulative results of Monte Carlo method to verify the high efficiency and accuracy of the proposed method.