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

doi:10.11930/j.issn.1004-9649.202308028

Abstract

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

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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URL: https://www.electricpower.com.cn/EN/10.11930/j.issn.1004-9649.202308028

https://www.electricpower.com.cn/EN/Y2025/V58/I2/193

Figures/Tables 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