基于参数线性规划的电-气综合能源系统最优能量流算法

doi:10.12204/j.issn.1000-7229.2022.01.004

电力建设 ›› 2022, Vol. 43 ›› Issue (1): 29-37.doi: 10.12204/j.issn.1000-7229.2022.01.004

• 综合多元能源及信息技术的能源互联网规划与运行·栏目主持刘洋副教授、韩富佳博士· • 上一篇下一篇

基于参数线性规划的电-气综合能源系统最优能量流算法

蔡杰¹(), 赵海彭²^,³(), 关钦月¹(), 郭婷¹(), 张迪²^,³(), 苗世洪²^,³()

1.国网湖北省电力有限公司经济技术研究院,武汉市 430077
2.强电磁工程与新技术国家重点实验室(华中科技大学电气与电子工程学院),武汉市 430074
3.电力安全与高效湖北省重点实验室(华中科技大学),武汉市 430074

收稿日期:2021-05-19 出版日期:2022-01-01 发布日期:2021-12-21
通讯作者: 苗世洪 E-mail:dtscj@163.com;zhaohaipeng@hust.edu.cn;1336320285@qq.com;511049791@qq.com;zdseee@hust.edu.cn;shmiao@mail.hust.edu.cn
作者简介:蔡杰(1985),男,硕士,高级工程师,主要研究方向为电力系统优化规划与运行技术,E-mail: dtscj@163.com;
赵海彭(1996),男,硕士研究生,主要研究方向为综合能源系统优化运行,E-mail: zhaohaipeng@hust.edu.cn;
关钦月(1989),女,硕士,工程师,主要研究方向为电力系统优化规划与运行技术,E-mail: 1336320285@qq.com;
郭婷(1987),女,博士,高级工程师,主要研究方向为电力系统优化规划与运行技术,E-mail: 511049791@qq.com;
张迪(1992),男,博士研究生,主要研究方向为电力系统优化规划,E-mail: zdseee@hust.edu.cn;
基金资助:
国网湖北省电力有限公司科技项目(521538210003)

An Optimal Energy Flow Calculation Method for Integrated Electricity-Gas System Applying Parametric Linear Programming

CAI Jie¹(), ZHAO Haipeng²^,³(), GUAN Qinyue¹(), GUO Ting¹(), ZHANG Di²^,³(), MIAO Shihong²^,³()

1. Economic Research Institute, State Grid Hubei Electric Power Co., Ltd., Wuhan 430077, China
2. State Key Laboratory of Advanced Electromagnetic Engineering and Technology (School of Electrical and Electronic Engineering, Huazhong University of Science and Technology), Wuhan 430074, China
3. Hubei Electric Power Security and High Efficiency Key Laboratory (Huazhong University of Science and Technology), Wuhan 430074, China

Received:2021-05-19 Online:2022-01-01 Published:2021-12-21
Contact: MIAO Shihong E-mail:dtscj@163.com;zhaohaipeng@hust.edu.cn;1336320285@qq.com;511049791@qq.com;zdseee@hust.edu.cn;shmiao@mail.hust.edu.cn
Supported by:
Science and Technology Program of State Grid Hubei Electric Power Co., Ltd(521538210003)

摘要/Abstract

摘要：

电-气综合能源系统(integrated electricity-gas system,IEGS)的最优能量流(optimal energy flow,OEF)计算是其优化规划与运行分析的基础。针对现有电-气综合能源系统最优能量流求解方法存在的数据交互频繁、收敛性差以及难以保证隐私性等问题,提出了一种基于参数线性规划的电-气综合能源系统最优能量流计算方法。首先,建立计及有功网损的电力网络最优直流潮流模型,以及基于二阶锥松弛的天然气网络最优潮流模型。其次,基于参数线性规划理论,建立了电-气耦合功率与电力网络潮流最优解的关联函数。然后,将该关联函数传递至天然气系统中进行联合优化,并返回电-气耦合功率信息至电力系统中求解,分别得到最优能量流的天然气流与电力潮流结果。仿真分析表明所提方法能够通过单次信息交互准确求解最优能量流,同时交互信息量较小且不包含隐私信息,适用于最优能量流的分解式计算。

关键词: 电-气综合能源系统(IEGS), 最优能量流(OEF), 参数线性规划, 分解式, 隐私性

Abstract:

The calculation of the optimal energy flow (OEF) of the integrated electricity-gas system (IEGS) is the basis of the optimal planning and operation analysis of IEGS. There are some problems in the existing methods for solving the OEF of the IEGS, such as frequent data interaction, poor convergence and difficulty in ensuring privacy. Therefore, a method for calculating the OEF applying parameter linear programming is proposed in this paper. Firstly, the optimal power flow (OPF) models for the power network and natural gas network are constructed, respectively. The OPF model of the power network adopts the optimal DC power flow model considering the active power loss. The OPF model of the natural gas network is established on the basis of the second-order cone relaxation. Secondly, the correlation function between the electricity-gas coupling power and the optimal solution of the power flow is constructed based on the parameter linear programming theory. Then, the correlation function is transferred to the natural gas system for joint optimization, and returns the electricity-gas coupling power information to the power system for solution. Thus, the natural gas flow and power flow results of the OEF are obtained. Through the simulation analysis, the method proposed in this paper can accurately solve the OEF through one-time information exchange. At the same time, the amount of interactive information is small and able to protect private information. It is suitable for the decomposition calculation of the OEF.

Key words: integrated electricity-gas system (IEGS), optimal energy flow (OEF), stochastic robust optimization, decomposition, privacy

中图分类号:

TM73

蔡杰, 赵海彭, 关钦月, 郭婷, 张迪, 苗世洪. 基于参数线性规划的电-气综合能源系统最优能量流算法[J]. 电力建设, 2022, 43(1): 29-37.

CAI Jie, ZHAO Haipeng, GUAN Qinyue, GUO Ting, ZHANG Di, MIAO Shihong. An Optimal Energy Flow Calculation Method for Integrated Electricity-Gas System Applying Parametric Linear Programming[J]. ELECTRIC POWER CONSTRUCTION, 2022, 43(1): 29-37.

图/表 10

图1 电-气耦合功率与最优解关系

Fig.1 Relationship between electricity-gas coupling power and optimal solution

图2 基于参数线性规划的IEGS分解式OEF计算方法流程

Fig.2 Process of IEGS distributed OEF calculation method based on parametric linear programming

图3 算例系统拓扑

Fig.3 Example system topology

表1 算例参数

Table 1 The example parameter

表2 基于一阶泰勒展开式近似的网损计算方法误差指标

Table 2 Error index of active-power loss calculation based on the first-order Taylor expansion approximation

图4 IEEE 33节点电网潮流最优解与耦合功率关系

Fig.4 Relationship between optimal power flow solution and coupling power in IEEE 33-node distribution network

图5 IEEE 14节点电网潮流最优解与耦合功率关系

Fig.5 Relationship between optimal power flow solution and coupling power in IEEE 14-node distribution network

表3 各场景下的优化结果

Table 3 Optimization results in different scenarios

图6 场景3下不同方法的电源/气源/耦合设备出力

Fig.6 Outputs of electric power source, gas source and coupling device by different solutions in scenario 3

表4 不同求解方法计算效果对比

Table 4 Comparison of information interaction times of different solution methods

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基于参数线性规划的电-气综合能源系统最优能量流算法

An Optimal Energy Flow Calculation Method for Integrated Electricity-Gas System Applying Parametric Linear Programming

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