A Solution of Optimal Power Flow Incorporating Wind Generation and Power Grid Uncertainties

Abstract

This paper proposes a novel approach for the solution of optimal power flow with consideration of uncertainties caused by wind generation and various factors in the power grid. Regarding the uncertainties studied here, multiple types of uncertainty modeling techniques are applied during research. Evidence theory and extended affine arithmetic are employed and mixed as the framework of uncertainty propagation to fuse probability distributions, possibility distributions, and intervals so as to obtain the best possible probability bounds, and the dependence among variables is handled by copula theory and affine arithmetic. Moreover, the uncertainty of wind farm active power and the characteristic of wind farm reactive power are modeled and integrated into the power flow calculation. An enhanced particle swarm optimization algorithm with introduction of fitness comparison and constraint handling techniques under the evidence theory framework is applied to the solution of this problem. The proposed model and method are tested on the IEEE 30-bus standard test system and a real-sized 183-bus power system to demonstrate the validity and effectiveness.

Keywords

• Affine arithmetic
• evidence theory
• optimal power flow
• particle swarm optimization