Stochastic Power Flow Simulation Platform based on Extendable Arbitrary Polynomial Chaos

In this study, the concepts and implemented methods regarding a stochastic power flow simulation platform based on the arbitrary polynomial chaos method (APC) are described. The APC method is suitable for calculating stochastic power flow equations that include uncertain variables (i.e., probabilistic variables), (1) Real probability distributions of wind power generation are used to obtain the probability distributions of active/reactive power flow of transmission lines, bus voltages, and voltage phase angles. (2) High-speed computing is realized by converting the conventional power flow equation, which requires repeated convergence calculations, into a spectral form. (3) The method is applied to reliability analysis by transforming shift factor calculations into a spectral form for power transmission networks.The developed simulation platform comprises the following methods. (1) The functions are organized in modular forms, and programing is facilitated by combining the functions on the command-line description. (2) Input data are handled in a manner based on not only sequential sampling but also random sampling. By applying the calculation platform to an actual power network, the reliability analysis assuming N-2/N-1 accidents was confirmed to be more than 240 times faster compared to the Monte Carlo calculation method, which requires iterative calculations.