2013/07/25 by Sadegh Soudjani, Alessandro Abate, Soudjani, Sadegh Esmaeil Zadeh +1 · 1 citation
Engineering · #Advanced Control Systems Optimization
paper · pdf · doi:10.48550/arxiv.1307.6716
This work discusses a two-step procedure, based on formal abstractions, to\ngenerate a finite-space stochastic dynamical model as an aggregation of the\ncontinuous temperature dynamics of a homogeneous population of Thermostatically\nControlled Loads (TCL). The temperature of a single TCL is described by a\nstochastic difference equation and the TCL status (ON, OFF) by a deterministic\nswitching mechanism. The procedure is formal as it allows the exact\nquantification of the error introduced by the abstraction -- as such it builds\nand improves on a known, earlier approximation technique in the literature.\nFurther, the contribution discusses the extension to the case of a\nheterogeneous population of TCL by means of two approaches resulting in the\nnotion of approximate abstractions. It moreover investigates the problem of\nglobal (population-level) regulation and load balancing for the case of TCL\nthat are dependent on a control input. The procedure is tested on a case study\nand benchmarked against the mentioned alternative approach in the literature.\n