电热综合能源系统稳态与区间潮流计算快速解耦新方法

New Rapid Decoupling Methods for Calculating Steady-State and Interval Power Flow of Integrated Electricity-Heat Energy Systems

综合能源系统稳态潮流计算是后续规划、运行等研究的基础。目前常采用的牛顿-拉夫逊法存在数值稳定性问题,且随着综合能源系统不确定因素增加,研究系统的区间潮流以实现综合能源系统的安全分析和评估变得越来越重要。首先,基于泰勒函数一阶展开和二阶展开,推导出热负荷流量和节点温度的解析表达式,该表达式实现了流量与温度的独立求解,无须解方程组即可得到系统稳态潮流。然后,分析流量和温度表达式的函数单调性,结合各热负荷值,确定了热负荷流量和热负荷节点温度的区间潮流解,所提方法在保证计算精度的同时,计算速度快且不存在数值稳定性问题。最后,通过算例分析验证了所提方法的有效性。

Steady-state power flow calculation of integrated energy systems is fundamental to subsequent planning and operational studies.The commonly used Newton-Raphson method poses challenges in numerical stability.Moreover,with the increasing uncertainty in integrated energy systems,it becomes increasingly vital to study the interval power flows for the safety analysis and evaluation of the integrated energy systems.Initially,based on the first and second order expansions of the Taylor function,the analytical expressions for heat load flow and nodal temperature are derived,which allow for the independent solution of flow rate and temperature,enabling the determination of system steady-state flow without solving equation set.And then,the monotonicity of the flow rate and temperature expressions is analyzed in conjunction with heat load values to determine the interval flow solutions for heat load flow and nodal temperature.The proposed method is fast in calculation speed and free from numerical stability problems while ensuring the computational accuracy.Finally,the effectiveness of the proposed method is validated through case study analysis.