A Dynamic Economic Dispatch Model Incorporating Wind Power Based on Chance Constrained Programming

Wushan Cheng,Haifeng Zhang

doi:10.3390/en8010233

Abstract

In order to maintain the stability and security of the power system, the uncertainty and intermittency of wind power must be taken into account in economic dispatch (ED) problems. In this paper, a dynamic economic dispatch (DED) model based on chance constrained programming is presented and an improved particle swarm optimization (PSO) approach is proposed to solve the problem. Wind power is regarded as a random variable and is included in the chance constraint. New formulation of up and down spinning reserve constraints are presented under expectation meaning. The improved PSO algorithm combines a feasible region adjustment strategy with a hill climbing search operation based on the basic PSO. Simulations are performed under three distinct test systems with different generators. Results show that both the proposed DED model and the improved PSO approach are effective.

Highlights

Dynamic economic dispatch (DED), which determines the optimal generation scheme to meet the predicted load demand over a time horizon satisfying the constraint such as ramp-rate limits of generators between time intervals, is crucial for power system operation [1,2,3]
In order to verify the effectiveness of the proposed DED model with wind power, three distinct test systems are employed in this paper
It can be learned that the Up spinning reserve (USR) and down spinning reserve (DSR) provided by thermal units in both systems can effectively cover the sudden fall and increase in wind power

Summary

Introduction

Dynamic economic dispatch (DED), which determines the optimal generation scheme to meet the predicted load demand over a time horizon satisfying the constraint such as ramp-rate limits of generators between time intervals, is crucial for power system operation [1,2,3]. Its uncertainty and intermittency makes it challenging to find a proper dispatch scheme for a wind penetrated power system. Different authors have proposed models to solve economic dispatch (or unit commitment) problems for wind-penetrated power systems [4,5,6,7,8,9,10,11,12,13,14,15,16]. Special reserve constraints are established to operate the power system within the required stability margin, which is adopted by Zhou et al [5] and Jiang et al in [6]

Methods

Results

Discussion

Conclusion