论文标题
基于PDE的功率跟踪控制异构TCL种群
A PDE--based Power Tracking Control of Heterogeneous TCL Populations
论文作者
论文摘要
本章介绍了基于部分微分方程（PDES）控制理论和技术的恒温负载（TCLS）的异质量的总体功率跟踪控制方案的开发和分析。通过在单个TCL的操作中采用基于恒温器的死带控制，TCL种群的汇总动力学由一对fokker控制 - Planck方程，通过位于边界和域中的动作结合使用。输入输出反馈线性化的技术用于设计聚合功率跟踪控制，这导致封闭环中的非线性系统。由于所考虑的设置是时间变化边界的问题，因此进行了良好的评估和稳定性分析以确认开发的控制方案的有效性。联系了一项模拟研究，以评估所提出方法的有效性和性能。
This chapter presents the development and the analysis of a scheme for aggregate power tracking control of heterogeneous populations of thermostatically controlled loads (TCLs) based on partial differential equations (PDEs) control theory and techniques. By employing a thermostat--based deadband control with forced switching in the operation of individual TCLs, the aggregated dynamics of TCL populations are governed by a pair of Fokker--Planck equations coupled via the actions located both on the boundaries and in the domain. The technique of input-output feedback linearization is used for the design of aggregate power tracking control, which results in a nonlinear system in a closed loop. As the considered setting is a problem with time-varying boundaries, well-posedness assessment and stability analysis are carried out to confirm the validity of the developed control scheme. A simulation study is contacted to evaluate the effectiveness and the performance of the proposed approach.
