Title: Aggregate Flexibility of Thermostatically Controlled Loads using Generalized Polymatroids Show Chinese title

Title: 基于广义多项式集合的温控负荷聚合灵活性

Abstract: Leveraging populations of thermostatically controlled loads could provide vast storage capacity to the grid. To realize this potential, their flexibility must be accurately aggregated and represented to the system operator as a single, controllable virtual device. Mathematically this is computed by calculating the Minkowski sum of the individual flexibility of each of the devices. Previous work showed how to exactly characterize the flexibility of lossless storage devices as generalized polymatroids-a family of polytope that enable an efficient computation of the Minkowski sum. In this paper we build on these results to encompass devices with dissipative storage dynamics. In doing so we are able to provide tractable methods of accurately characterizing the flexibility in populations consisting of a variety of heterogeneous devices. Numerical results demonstrate that the proposed characterizations are tight. Show Chinese abstract

Abstract: 利用温控负荷群体可以为电网提供巨大的储能容量。为了实现这一潜力，必须准确地聚合和将其灵活性表示为单一的可控虚拟设备，以供系统操作员使用。从数学上讲，这是通过计算各个设备个体灵活性的Minkowski和来完成的。之前的研究展示了如何精确地将无损耗储能设备的灵活性表征为广义次模集——一种多面体族，能够高效地计算Minkowski和。本文在此基础上扩展，涵盖了具有耗散存储动态的设备。通过这种方式，我们能够提供可处理的方法，准确表征由各种异构设备组成的群体中的灵活性。数值结果表明，所提出的表征是紧致的。