This paper introduces a mixed H-infinity-passivity framework that enables district heating systems (DHSs) with heat pumps to support electric-grid frequency regulation. The analysis illustrates how the DHS regulator influences coupled electro-thermal frequency dynamics and provides LMI conditions for efficient controller design. We also present a disturbance-independent temperature regulator that ensures stability and robustness against heat-demand uncertainty. Simulations demonstrate improved frequency-control dynamics in the electrical power grid while maintaining good thermal performance in the DHS.

翻译：本文提出了一种混合H∞-无源性框架，使得配备热泵的区域供热系统能够支持电网频率调节。该分析阐明了DHS调节器如何影响耦合的电-热频率动态，并为高效控制器设计提供了线性矩阵不等式条件。我们还提出了一种与扰动无关的温度调节器，该调节器能确保系统稳定性，并对热需求不确定性具有鲁棒性。仿真结果表明，在保持DHS良好热性能的同时，电力系统的频率控制动态得到了改善。