基于混合潮流方程的区间潮流计算方法  

Interval Power Flow Calculation Method Based on Mixed Power Flow Equations

作　　者：廖小兵 刘开培[1] 李彧野 罗骏 吴馨[3] 秦亮[1] LIAO Xiaobing;LIU Kaipei;LI Yuye;LUO Jun;WU Xin;QIN Liang(School of Electrical Engineering,Wuhan University,Wuhan 430072,China;State Grid Fuzhou Electric Power Supply Company,Fuzhou 350009,China;State Grid Anhui Electric Power Company Ma＇anshan Power Supply Company,Ma＇anshan 243000,China)

机构地区：[1]武汉大学电气工程学院,武汉430072 [2]国网福州供电公司,福州350009 [3]国网安徽省电力公司马鞍山供电公司,马鞍山243000

出　　处：《高电压技术》2018年第10期3417-3424,共8页High Voltage Engineering

基　　金：国家重点研发计划(2017YFB0903700;2017YFB0903705)~~

摘　　要：结合仿射算术,区间非线性交流潮流方程可转化为仿射优化模型,克服了区间运算的保守性,但涉及三角函数繁琐的近似估计。基于此,提出了一类基于混合潮流方程的区间潮流计算方法。该方法首先利用交流潮流方程形成节点电压幅值/相角的仿射形式,再将该仿射形式代入线性化潮流方程中,形成关于噪声元的线性优化模型,以抑制区间扩张。含风电场的IEEE-30节点系统仿真结果表明,该方法得到的区间边界与蒙特卡洛方法结果较为接近,较仿射方法的区间边界更窄,且效率更高。The interval nonlinear AC power flow equation, which can be transformed to the affine optimization model by means of affine arithmetic,overcomes the conservative characteristics of interval arithmetic, but contains the approximation of strong nonlinear elements such as the trigonometric function. Thereby, we proposed a novel kind of interval power flow calculation method based on mixed power flow equations. This method uses a nonlinear AC power flow equation to establish the affine formulation of the node voltage amplitude/phase angle, and then substitutes them into the linear power flow equation to form the linear optimization model about the noise elements, helping to inhibit interval extension. The simulation results of IEEE-30 nodes system with wind farms show that the interval boundaries obtained by the proposed method are closer to those obtained by the Monte Carlo method, and are narrower than the affine method, while the proposed method is more efficient than the Monte Carlo method.

关 键 词：仿射算术 交流潮流方程 混合潮流方程 区间潮流 线性优化 

分 类 号：TM744[电气工程—电力系统及自动化]