考虑线性化网络约束的电-热多能源系统最优能量流分析

Optimal Energy Flow of Combined Electrical and Heating Multi-energy System Considering the Linear Network Constraints

随着热电联产(combined heat and power,CHP)元件与可再生能源的广泛应用,配电网与区域供热网之间的联系更加紧密,将热网与电网进行整体规划与建模十分重要。建立联合热-电网综合模型,并提出一种基于线性规划法的最优能量流求解算法,该模型不仅适用于区域辐射状系统,还可以更广泛地应用在大规模网状多能流系统中。通过对电网、区域供热网以及它们之间的耦合元件进行网络拓扑分析,建立网络方程的基本矩阵规划及其线性能流模型。根据不同的网络拓扑结构,可以对网络系数矩阵进行快速修正,以适用所有的网络结构,显示出模型的通用性与实用性。通过将非线性、非凸集规划问题转化为线性规划问题,计算效率大大提高,并避免了传统算法无法收敛的问题。实例系统的计算与分析验证了所提方法的精确性与鲁棒性。

As the penetration of combined heat and power(CHP)units and renewable sources increases,the interaction between electrical and heating networks becomes tighter and modeling electrical and district heating networks as a whole becomes increasingly important.A linear programming-based optimal power flow model of combine heating and electrical system was proposed in this paper,which was not only applicable for radial network but for meshed network as well.The model of electrical and heating network as well as their linking components was established respectively by analyzing the topology of combined system.The basic matrix formulation of network equations was pursued for the linear optimal power flow model and the coefficient matrices can be modified rapidly according to different types of topology,which proved strong applicability.By transforming the nonlinear,non-convex problem to the linear programming problem,computational efficiency was improved greatly and potential convergence problem was avoided.One actual case was studied to show the accuracy and robustness of the proposed algorithm.