Aggregate modeling and analysis of air conditioning load using coupled Fokker–Planck equations

• 作者: Dingyi CHENG Wen ZHANG Yutian LIU
• 来源期刊: 现代电力系统与清洁能源学报(英文)
• 学科: 工学
• 关键词: AGGREGATE model Air CONDITIONER COUPLED Fokker–Planck EQUATION Grid SPACING selection Heterogeneous Interval estimation Linear state EQUATION Stationary solution
• 年，卷（期）: 2018,（6）
• 页码范围: 1277-1290
• 页数: 14页
• 分类号: TU83

摘要

Demand response has gained significant attention recently with the increasing penetration of renewable energy sources in power systems. Air conditioning loads are typical thermostatically controlled loads which can play an active role in ancillary services by regulating their aggregated power consumption. The aggregation of air conditioners is essential to the control of air conditioning loads. In this paper, linear state equations are proposed to aggregate air conditioning loads by solving coupled Fokker–Planck equations(CFPEs) using the finite difference method. By analyzing the numerical stability and convergence of the difference scheme, the grid spacings, including temperature step and time step, are properly determined according to the maximal principle. Stationary solutions of the CFPEs are obtained by analytical and numerical methods. Furthermore, a classification method using dimension reduction is proposed to deal with the problem of heterogeneous parameters and interval estimation is applied to describe the stochastic behavior of air conditioning loads. The simulation results verify the effectiveness of the proposed methods.