面向控制的TCL建模
Control oriented modeling of TCLs
摘要：
恒温控制负载（TCL）有可能成为未来平衡机构（BA）的宝贵资源。TCL的示例包括家用电器，如空调、热水器和冰箱。由于每个TCL的额定功率为千瓦级，为了为BA提供有意义的服务，有必要控制大量TCL。为了执行分布式协调/控制算法的设计，BA需要描述系综的相关动态的面向控制的模型。专注于单独建模合奏的作品可以追溯到20世纪80年代，而专注于面向控制建模的作品则是最近的。在这项工作中，我们有助于面向控制的建模文献。我们利用计算流体动力学（CFD）的技术来离散早期工作中导出的一对Fokker-Planck方程[1]。离散化的方程，承认一定的因式分解，这使得开发的模型有用的控制设计。特别是，天气和控制的影响被证明是独立的影响系统动态。
英文摘要：
Thermostatically controlled loads (TCLs) have the potential to be a valuable resource for the Balancing Authority (BA) of the future. Examples of TCLs include household appliances such as air conditioners, water heaters, and refrigerators. Since the rated power of each TCL is on the order of kilowatts, to provide meaningful service for the BA, it is necessary to control large collections of TCLs. To perform design of a distributed coordination/control algorithm, the BA requires a control oriented model that describes the relevant dynamics of an ensemble. Works focusing on solely modeling the ensemble date back to the 1980's, while works focusing on control oriented modeling are more recent. In this work, we contribute to the control oriented modeling literature. We leverage techniques from computational fluid dynamics (CFD) to discretize a pair of Fokker-Planck equations derived in earlier work [1]. The discretized equations are shown to admit a certain factorization, which makes the developed model useful for control design. In particular, the effects of weather and control are shown to independently effect the system dynamics.
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