综合能源系统分析的统一能路理论(二):水路与热路

Energy Circuit Theory of Integrated Energy System Analysis(II):Hydraulic Circuit and Thermal Circuit

供热网络是综合能源系统的重要组成部分。作为系列论文的第二部分,该文以供热网络为对象,基于质量守恒方程和动量守恒方程推导了水路模型,基于能量守恒方程推导了热路模型,并通过傅里叶变换和二端口等值实现了模型向代数方程的化简,最后基于水路模型与热路模型刻画了供热网络的支路特性与拓扑约束,并由此导出了水力网络方程和热力网络方程。此外,根据供热网络的水力运行特点,完成了动态水路向稳态水路的退化并提出了修正解法。算例结果表明了水路与热路方法分析供热网络的有效性。与传统分析方法相比,热路方法可以描述时域中连续的热力动态过程,在满足计算精度的同时,显著降低了网络分析的计算复杂度。

The heating network plays an important role in the integrated energy system.In this paper,a hydraulic circuit model based on the conservation equations of mass and momentum and a thermal circuit model based on the energy conservation equation were derived for the heating network.Then,the Fourier transform and a two-port equivalence were employed to realize a model simplification from partial differential equations to algebraic equations.Finally,the branch characteristics and topology constraints of the heating network were described by the hydraulic circuit and thermal circuit,which derived the hydraulic network equation and thermal network equation further.Moreover,the degeneration of the dynamic hydraulic circuit to the steady hydraulic circuit was implemented and an iteration algorithm for it was proposed.The results of numerical tests verify the proposed methods of the hydraulic circuit and thermal circuit,and it is proved that the thermal circuit method outperforms the conventional analysis method in terms of computational efficiency and accuracy.