电–热综合能源系统仿射型区间多能流算法

Interval Multi-energy Flow Algorithm for Integrated Heat and Electricity System Based on Affine Arithmetic

针对综合能源系统区间能流算法仅能分析多个不确定性因素共同作用的结果,而无法量化分析各不确定性因素的传递过程及其对系统状态量影响的不足。该文采用仿射算术建立系统不确定性模型,提出电热综合能源系统仿射型区间能流算法。首先,基于泰勒公式简化热网温度方程,建立仿射形式的热网温度传递模型,进一步地,计及耦合元件的不确定性,建立电热综合能源系统仿射模型。在此基础上,考虑管道流量约束进行多源互补,提出热网仿射能流前推回代算法;同时,以耦合元件的仿射功率作为电热网络间的边界条件,提出电热互联系统仿射能流的并行迭代方法。最后,基于IEEE33节点配电网与23节点配热网构成的电热互联系统,分析不同节点负荷变化对系统状态量的影响程度以及电–热系统之间的交互影响过程,验证该文所提方法的可行性和优势。

The traditional interval energy flow algorithm of integrated energy system(IES)can only analyze the results of the combined action of multiple uncertainty factors,but fails to quantify the transmission process of each uncertainty factor and its influence on the system state variables.To deal with this issue,a system uncertainty model based on affine arithmetic is established and an affine multi-energy flow algorithm for integrated heat and electricity system(IHES)is proposed in this paper.First,an affine temperature transmission model is established based on the temperature exponential equation simplified by Taylor expansion,and further an affine model of the IHES is established considering the uncertainty of the conversion efficiency of the coupling elements.On this basis,considering the pipeline flow constraint,the heat network affine energy flow algorithm based on Back/Forward sweep method is proposed.Furthermore,the parallel iteration method for the affine energy flow of the IHES is proposed by taking the coupling element power as the boundary condition.Finally,based on the IEEE-33 system and 23-node heat network systems,the conservative advantages of the proposed method are verified;and the degree of influence of different node load variation on mass flow rate and temperature,and the interaction effects between subsystems are analyzed.