计及不确定性的电力系统直流潮流的区间算法

考虑高压输电网络中的不确定性因素，采用区间分析方法来处理直流潮流计算中的不确定问题，提出了一种可应用于求解大规模输电系统的区间直流潮流算法。该算法考虑了节点注入有功功率的不确定性，采用区间高斯消去法求解区间线性方程组，得到母线电压相角和支路有功功率的上下限，即区间潮流方程的区间解。采用IEEE 30算例系统，将该算法的计算结果与蒙特卡罗仿真计算的结果相比较，验证了该算法的有效性和应用价值。

Interval Algorithm of DC Power Flow Considering Uncertainty in Power Systems

In view of the uncertainty factors in high voltage transmission network, an interval DC power flow algorithm is proposed in this paper which using interval algorithm to analyze the uncertainty problems. Taking the uncertainty of injected node active power into account, interval linear equations are solved with interval Gauss elimination method in the proposed algorithm. The bounds of voltage phase angles and branch active powers, as interval solutions of interval DC power flow equations are obtained. Taking IEEE 30-bus system as test systems, the results of the proposed algorithm are compared with the results of Monte Carlo simulation method and it shows the validity and practicability of the proposed algorithm.