电力系统保护与控制2017，Vol.45Issue(23)：17-23,7.DOI:10.7667/PSPC161947
温控负荷群Fokker-Planck方程聚合模型的数值拉普拉斯反变换求解方法
Numerical inverse Laplace transform solving method of thermostatically controlled load group's Fokker-Planck equation aggregation model
摘要
Abstract
As the typical load with thermal energy storage property, thermostatically controlled loads possess the potential to actively participate in active power dispatch and control for power system. In order to facilitate the analysis and control, a numerical inverse Laplace transform solving method of thermostatically controlled load group's Fokker-Planck equation aggregation model is proposed. The single model and Fokker-Planck equation aggregation model for thermostatically controlled loads are introduced respectively, and the aggregation model's numerical inverse Laplace transform solving method is proposed. Simulation results verify the effectiveness of the proposed numerical inverse Laplace transform solving method. A decentralized control scheme is applied to controllable load, which adjusts its setting temperature to regulate its power demand according to frequency measurement signal. The numerical inverse Laplace transform solving model is integrated into frequency control model of 3 machine 9 bus power system, verifying the effectiveness of the frequency control effects.关键词
温控负荷/Fokker-Planck方程/负荷群聚合模型/数值拉普拉斯反变换/频率控制Key words
thermostatically controlled load/Fokker-Planck equation/load group's aggregation model/numerical inverse Laplace transform/frequency control引用本文复制引用
刘萌,梁雯,张晔,程定一,高文龙,韩延峰,井雨刚..温控负荷群Fokker-Planck方程聚合模型的数值拉普拉斯反变换求解方法[J].电力系统保护与控制,2017,45(23):17-23,7.基金项目
This work is supported by National Natural Science Foundation of China (No. 51507094). 基金项目:国家自然科学基金资助项目(51507094) （No. 51507094）
