供热管网分布参数模型与电热耦合网络协同规划

随着多能源互联的逐步发展,电力系统(power system,PS)和供热管网(heating pipe network,HPN)系统的耦合程度不断加深,耦合形式也趋于多样化。需要适当考虑电力系统和供热管网系统在规划与运行方面的相互影响。在此背景下,对电力系统和供热管网系统的协同规划进行探讨。现有供热管网系统的数学模型和分析方法不够精细,无法满足协同规划的需要。为此,首先发展适用于电气分析的供热管网系统的分布参数模型,并对现有的温度场和压力场并行求解方法进行简化和统一。接着对所构造的分布参数模型进行线性化处理,并发展了基于管道和环境参数计算热能和压力损失的方法。之后构建了热网潮流方程,并与电力系统潮流方程统一求解。在此基础上,发展了电力系统和供热管网系统的协同规划模型,以发电成本与电力网损、热网损耗之和最小为优化目标,并考虑电力网络和供热网络的运行约束。该协同规划模型为0-1混合整数非线性规划问题,采用商业化的YALMIP工具箱求解。最后,以修改的IEEE 30节点电力系统和某实际供热管网系统为基础,构建了电力系统和供热管网系统耦合形成的集成系统,以说明所发展的供热管网电气化模型及协同规划方法的可行性和有效性。

A Distributed Parameter Model of Heating Pipe Networks and Coordinated Planning of Electrical and Heating Coupled Systems

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.