Calculation of Maximum Injection Power of Large-scale Wind Farms Connected to Power Systems

Calculation of the maximum injection power is an urgent issue in the planning and operating of wind farms. This paper presents a method based on the stochastic programming theory in calculation of the maximum injection power of large- scale wind farms connected to power systems. It introduces random variables to describe active powers of wind farms because of their stochastic characteristics and pays attention to realistic operating situations during short time periods. To overcome the difficulty in solving chance-constrained programming problem, firstly this paper simplifies it properly; secondly it proposes a genetic algorithm based on the stochastic simulation technique to calculate the maximum injection power. The results on IEEE30 system with wind farms demonstrate the effectiveness and correctness of the proposed method. The method avoids fussy calculation of the dynamic simulation and conservative results computed by deterministic programming methods, and it ensures the optimization of results.