XU Yan, YANG Wentao, QI Feng, WEN Fushuan, ZHAO Junhua, DONG Zhaoyang
ABSTRACT： With ever-growing interconnections of various kinds of energy sources, the coupling between a power system （PS） and a heating pipe network （HPN） has been progressively intensified. Thus, it is becoming more and more important to consider the interactions between a PS and a HPN in both planning and operation aspects. Given this background, the collaborative planning of an integrated electrical and heating system is addressed. The existing mathematical models of HPNs and related analytical methods are not elegant enough, and cannot meet the requirements of the collaborative planning. Thus, a distributed parameter model of HPNs is first developed, and the existing parallel solving method of the temperature field and pressure field is simplified and unified. The presented model is next linearized, and calculating methods of heat and pressure losses developed based on some pipeline and environmental parameters. Then, the thermal flow equations are built and solved uniformly with the power flow equations. On this basis, the collaborative planning problem of a PS and a HPN is formulated as a mixed integer nonlinear planning （MINLP） model, with the objective of minimizing the sum of the power generation cost as well as the electrical and thermal losses, and the operating constraints in PSs and HPNs respected. The commercial YALMIP toolbox is employed to solve the developed MINLP model. Finally, an integrated electrical and heating system is built with a modified version of the IEEE 30-bus system and an actual HPN included and served for demonstrating the feasibility and efficiency of the developed distributed parameter model of HPNs and the presented collaborative planning method.
