Analytical modeling study of feasible regions for power generation under cross-section safety constraints

Abstract

Given the huge calculation burden and long-time consumption of the existing point-to-point feasible region search method， a new analytical modeling method of feasible regions for power generation is proposed in this paper. Firstly， the construction process of feasible regions for power generation under cross-section safety constraints is introduced， and the boundary characteristics of the feasible regions are analyzed. Secondly， it is deduced mathematically that there is a linear relationship between the output of sensitive generators and the system load at the boundary of the feasible region. An analytical modeling method for the feasible region boundary is proposed based on the linear relationship. Afterwards， when the output power of balanced generators exceeds their limits， a piecewise linear modeling method for the feasible region boundary is introduced. Finally， with a provincial power grid as an example， the feasible region boundary under different cross-section safety constraints is calculated， and the effectiveness of the proposed method is verified through comparison with the existing point-by-point search method.

Keywords

• monthly security check
• key cross-section
• sensitivity
• feasible region boundary for generation
• analytical modeling