基于改进线性化ADMM的多微网经济运行分布式协调优化

doi:10.11930/j.issn.1004-9649.202308028

中国电力 ›› 2025, Vol. 58 ›› Issue (2): 193-202.DOI: 10.11930/j.issn.1004-9649.202308028

基于改进线性化ADMM的多微网经济运行分布式协调优化

黄堃¹^,²(), 付明¹(), 翟家祥³, 华昊辰³

1. 国电南瑞科技股份有限公司，江苏南京　211106
2. 东南大学电子科学与工程学院，江苏南京　210096
3. 河海大学电气与动力工程学院，江苏南京　210098

收稿日期:2023-08-08 接受日期:2024-06-19 出版日期:2025-02-28 发布日期:2025-02-25
作者简介:黄堃（1985—），男，硕士，高级工程师， E-mail：huangkun1@spepri.sgcc.com.cn
付明（1986—），男，通信作者，硕士，高级工程师，从事新能源接入与运行控制、综合能源服务的研究，E-mail：fuming@sgepri.com.cn
基金资助:
国家电网有限公司科技项目（面向高比例新能源消纳的多微网系统协同优化调控技术研究及示范，4000-202219058A-1-1-ZN）。

Distributed Coordination Optimization for Economic Operation of the Multi-Microgrid System Based on Improved Linearization ADMM

Kun HUANG¹^,²(), Ming FU¹(), Jiaxiang ZHAI³, Haochen HUA³

1. NARI Technology Co., Ltd., Nanjing 211106, China
2. School of Electronic Science & Engineering, Southeast University, Nanjing 2110096, China
3. School of Electrical and Power Engineering, Hohai University, Nanjing 210098, China

Received:2023-08-08 Accepted:2024-06-19 Online:2025-02-28 Published:2025-02-25
Supported by:
This work is supported by Science and Technology Project of SGCC (Research and Demonstration of Microgrid Groups Collaborative Optimization and Regulation Technology for High Proportion New Energy Consumption, No.4000-202219058A-1-1-ZN).

摘要/Abstract

摘要：

传统多微网系统的集中式优化策略计算时间长，而以交替方向乘子法（alternating direction method of muitipiers，ADMM）为代表的分布式优化算法求解效率取决于目标函数的拉格朗日增广函数的求解难度，很难适用于复杂多微网系统。针对该问题，提出了一种基于非精确广义不定邻近交替方向乘子法（the inexact generalized ADMM with indefinite proximal term，IGADMM-IPT）的多微网系统分布式协调优化方案。首先，构建多微网系统的分层优化架构和各可调节设备动态模型；然后，基于可再生能源出力、负荷需求的差值和可调节设备出力阈值确定各微网可共享发电量和储能容量；接着，基于多微网系统运行成本最低构建全局共享目标函数，利用IGADMM-IPT对该优化问题迭代求解；最后，在8个微网和一个直连设备群通过公共母线互联的场景进行仿真。结果显示，在一天内利用IGADMM-IPT获取多微网系统运行成本最低优化方案所需时间比ADMM少21.38%。

关键词: 多微网系统, 可再生能源, 分布式优化

Abstract:

Traditional centralized optimization strategies for multi microgrid systems have the problem of long computational time, while the distributed optimization strategies can effectively reduce the solving time. However, the efficiency of distributed optimization algorithms represented by the alternating direction method of multipliers (ADMM) depends on the difficulty of solving the Lagrangian augmented function of the objective function, making it difficult to apply to complex multi microgrid systems. Therefore, this article proposes a distributed coordination optimization scheme for multi-microgrid systems based on the inexact generalized alternating direction method of multipliers with defined proximate terms (IGADMM-IPT). Firstly, a hierarchical optimization architecture for the multi-microgrid system and a dynamic model for each adjustable device are constructed. Then, based on the difference between renewable energy output and load demand, and the adjustable equipment output thresholds, the shared power generation and energy storage capacity of each microgrid are determined. And then, based on the lowest operating cost of the multi-microgrid system, a global shared objective function is constructed, and the optimization problem is iteratively solved using IGADMM-IPT. Finally, simulation is conducted in a scenario where eight microgrids and a group of directly connected devices are interconnected through a common bus. The results show that using IGADMM-IPT to obtain the lowest operating cost optimization solution for the multi-microgrid system within one day requires 21.38% less time than ADMM.

Key words: multi-microgrid system, renewable energy, distributed optimization

黄堃, 付明, 翟家祥, 华昊辰. 基于改进线性化ADMM的多微网经济运行分布式协调优化[J]. 中国电力, 2025, 58(2): 193-202.

Kun HUANG, Ming FU, Jiaxiang ZHAI, Haochen HUA. Distributed Coordination Optimization for Economic Operation of the Multi-Microgrid System Based on Improved Linearization ADMM[J]. Electric Power, 2025, 58(2): 193-202.

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图/表 7

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参数	数值	参数	数值
$ {\eta }_{{\rm G}} $	0.3	$ {H}_{{\rm G}} $	9.7
$ {P}_{\mathrm{G},\min} $/kW	0	$ {P}_{{\rm G},\mathrm{m}\mathrm{a}\mathrm{x}} $/kW	10
$ {r}_{1} $	0.2	$ {r}_{2} $	0.0055
$ {S}_{ \rm OCref} $	0.5	$ {V}_{\mathrm{F}\mathrm{C}} $/V	380
$ {\Delta P}_{{\rm G},i,\mathrm{m}\mathrm{a}\mathrm{x}} $/kW	500	$ A $	330330
$ {Q}_{\mathrm{F}\mathrm{C}} $/Ah	100	$ {P}_{\mathrm{F}\mathrm{C},\mathrm{m}\mathrm{a}\mathrm{x}} $/kW	30
$ {P}_{\mathrm{F}\mathrm{C},\mathrm{m}\mathrm{i}\mathrm{n}} $/kW	10	$ {S}_{ {\rm OC}\mathrm{F}\mathrm{C},\mathrm{m}\mathrm{ax}} $	0.2
$ {S}_{ {\rm OC}\mathrm{F}\mathrm{C},\mathrm{m}\mathrm{i}\mathrm{n}} $	0.8	$ {\omega }_{1} $/(元·kW^–1)	0.0013
$ {\omega }_{2} $/(元·kW^–1)	0.16	$ {\omega }_{3} $/(元·kW^–1)	0
$ {N}_{\rm cyc} $	2500	$ C $/(元·kW^–1)	700
$ {\eta }_{\rm FC} $	0.95	$ {\xi }_{0} $/(元·kW^–1)	0.41

参数	数值	参数	数值
$ {\eta }_{{\rm G}} $	0.3	$ {H}_{{\rm G}} $	9.7
$ {P}_{\mathrm{G},\min} $/kW	0	$ {P}_{{\rm G},\mathrm{m}\mathrm{a}\mathrm{x}} $/kW	10
$ {r}_{1} $	0.2	$ {r}_{2} $	0.0055
$ {S}_{ \rm OCref} $	0.5	$ {V}_{\mathrm{F}\mathrm{C}} $/V	380
$ {\Delta P}_{{\rm G},i,\mathrm{m}\mathrm{a}\mathrm{x}} $/kW	500	$ A $	330330
$ {Q}_{\mathrm{F}\mathrm{C}} $/Ah	100	$ {P}_{\mathrm{F}\mathrm{C},\mathrm{m}\mathrm{a}\mathrm{x}} $/kW	30
$ {P}_{\mathrm{F}\mathrm{C},\mathrm{m}\mathrm{i}\mathrm{n}} $/kW	10	$ {S}_{ {\rm OC}\mathrm{F}\mathrm{C},\mathrm{m}\mathrm{ax}} $	0.2
$ {S}_{ {\rm OC}\mathrm{F}\mathrm{C},\mathrm{m}\mathrm{i}\mathrm{n}} $	0.8	$ {\omega }_{1} $/(元·kW^–1)	0.0013
$ {\omega }_{2} $/(元·kW^–1)	0.16	$ {\omega }_{3} $/(元·kW^–1)	0
$ {N}_{\rm cyc} $	2500	$ C $/(元·kW^–1)	700
$ {\eta }_{\rm FC} $	0.95	$ {\xi }_{0} $/(元·kW^–1)	0.41

阈值	运行成本/元	甩负荷比率/%	可再生能能源削减比率/%
0.050	312.5	4.21	8.92
0.075	310.1	4.20	8.90
0.100	302.6	4.15	7.89
0.125	298.7	4.11	7.45

阈值	运行成本/元	甩负荷比率/%	可再生能能源削减比率/%
0.050	312.5	4.21	8.92
0.075	310.1	4.20	8.90
0.100	302.6	4.15	7.89
0.125	298.7	4.11	7.45

项目	IGADMM-IPT	ADMM	GA
运行成本/元	312.5	318.6	300.7
求解时间/s	511.25	650.32	3250.6

基于改进线性化ADMM的多微网经济运行分布式协调优化

Distributed Coordination Optimization for Economic Operation of the Multi-Microgrid System Based on Improved Linearization ADMM

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模态框（Modal）标题

基于改进线性化ADMM的多微网经济运行分布式协调优化

Distributed Coordination Optimization for Economic Operation of the Multi-Microgrid System Based on Improved Linearization ADMM

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