首页|期刊导航|电力建设|基于预处理稳定双正交共轭梯度重启全纯嵌入的电-气综合能源系统能流计算方法

基于预处理稳定双正交共轭梯度重启全纯嵌入的电-气综合能源系统能流计算方法OA

Energy Flow Calculation Method for Electric-Gas Integrated Energy System Based on Preprocessed Bi-Conjugate Gradient Stabilized Restarted Holomorphic Embedding

中文摘要英文摘要

[目的]能流计算是综合能源系统(integrated energy system,IES)规划和运行的基础,现有全纯嵌入法在求解大规模IES能流时,求解幂级数系数方程组及Padé近似过程所需计算量较大,耗时较长.文章提出一种基于预处理稳定双正交共轭梯度(bi-conjugate gradient stabilized,BICGSTAB)重启全纯嵌入的电-气IES能流计算方法.[方法]该方法基于预处理BICGSTAB和常项值与多项式全乘法(total multiplication of polynomial,TMP)进行电网侧全纯嵌入潮流计算,并采用重启全纯嵌入法进行气网侧能流计算.在求解电网侧潮流时,首先对求解幂级数系数方程组的系数矩阵进行预处理,其次利用基于常项值的全纯嵌入潮流计算方法中的常项值动态更新机制,采用Padé近似与TMP结合的方法计算电压逼近值;在求解气网侧能流时,采用重启全纯嵌入方法计算气网能流,以提高计算速度及能流收敛性;最后,通过E39-G20和E2383-G60测试系统算例进行验证.[结果]所提方法与牛顿拉夫逊法相比,最大相对误差仅为0.051 3%,计算加速比最大达到358.088 3.[结论]所提方法可实现电-气IES能流准确、高效求解,且在各种工况下仍能准确求解IES能流,具有较强的鲁棒性,为IES能流计算的高效求解提供一种新思路.

[Objective]Energy flow calculation is fundamental to the planning and operation of integrated energy systems(IES).The existing holomorphic embedding method requires significant computational effort and long solution times for large-scale IES due to the need for solving coefficient equations of power series and the Padé approximation process.[Methods]This paper proposes an energy flow calculation method for electrical-gas IES based on preconditioned bi-conjugate gradient stabilized(BICGSTAB)restarted holomorphic embedding.The method combines preconditioned BICGSTAB and total multiplication of polynomial(TMP)for grid-side holomorphic embedding power flow calculation,while employing the restarted holomorphic embedding method for gas network energy flow calculation.When solving the power flow at the grid side,the coefficient matrix for solving the power series coefficient equations is first preconditioned;then,the constant value dynamic update mechanism in the Holomorphic Embedding Load Flow Method based on constant values is used to solve the voltage approximation value by using Padé approximation and TMP.When solving the side energy flow of gas network,the restarted holomorphic embedding method is used to calculate the energy flow of gas network,so as to improve the calculation speed and convergence of energy flow.Finally,the proposed method is validated using the E39-G20 and E2383-G60 test systems.[Results]The results demonstrate that the proposed method achieves a maximum relative error of only 0.051 3%compared to the Newton-Raphson method,with a maximum computational speedup ratio of 358.0883.[Conclusions]The proposed method enables accurate and efficient energy flow analysis in the electricity-gas IES,maintains high IES energy flow solution accuracy under various operating conditions,and offers strong robustness,which can provide a new idea for the efficient calculation of IES energy flow.

曹宇鑫;职梦磊;李雪

现代电力系统仿真控制与绿色电能新技术教育部重点实验室(东北电力大学),吉林省 吉林市 132012现代电力系统仿真控制与绿色电能新技术教育部重点实验室(东北电力大学),吉林省 吉林市 132012现代电力系统仿真控制与绿色电能新技术教育部重点实验室(东北电力大学),吉林省 吉林市 132012

信息技术与安全科学

能流计算全纯嵌入法多项式全乘法预处理器

energy flow calculationholomorphic embedding methodtotal multiplication of polynomialprecondition

《电力建设》 2026 (8)

140-160,21

国家自然科学基金项目(52577088)吉林省自然科学基金(优秀青年基金项目)(20230101374JC) This work is supported by National Natural Science Foundation of China(No.52577088)and Natural Science Foundation of Jilin Province(Excellent Youth Fund Project)(No.20230101374JC).

10.12204/j.issn.1000-7229.2026.08.010

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