计及多重不确定性的综合能源系统两阶段鲁棒低碳优化调度

doi:10.11930/j.issn.1004-9649.202507022

中国电力 ›› 2025, Vol. 58 ›› Issue (11): 101-110, 121.DOI: 10.11930/j.issn.1004-9649.202507022

• 高比例新能源区域综合能源系统调度、控制与可靠性研究 • 上一篇下一篇

计及多重不确定性的综合能源系统两阶段鲁棒低碳优化调度

杨胡萍¹(), 龚家宁²(), 程明³, 李向军⁴, 刘常禄¹, 张扬³

1. 南昌大学智能系统与人机交互江西省重点实验室，江西南昌　330031
2. 国网江西省电力有限公司赣州供电分公司，江西赣州　341000
3. 国网江西省电力有限公司信息通信分公司，江西南昌　330031
4. 南昌大学数学与计算机学院，江西南昌　330031

收稿日期:2025-07-08 修回日期:2025-07-20 发布日期:2025-12-01 出版日期:2025-11-28
作者简介:
杨胡萍（1964），女，教授，硕士生导师，从事电力系统继电保护与控制研究，E-mail：yhping123@163.com
龚家宁（2000），男，通信作者，硕士，从事综合能源系统优化调度研究，E-mail：2418790781@qq.com
基金资助:
国家自然科学基金资助项目（62562047）。

Two-stage Robust Low-carbon Optimal Scheduling for Integrated Energy Systems Considering for Multiple Uncertainties

YANG Huping¹(), GONG Jianing²(), CHENG Ming³, LI Xiangjun⁴, LIU Changlu¹, ZHANG Yang³

1. Jiangxi Provincial Key Laboratory of Intelligent Systems and Human-Machine Interaction, Nanchang University, Nanchang 330031, China
2. Ganzhou Power Supply Company, State Grid Jiangxi Electric Power Co., Ltd., Ganzhou 341000, China
3. State Grid Jiangxi Information and Communication Company, Nanchang 330031, China
4. School of Mathermatics and Computer Sciences, Nanchang University, Nanchang 330031, China

Received:2025-07-08 Revised:2025-07-20 Online:2025-12-01 Published:2025-11-28
Supported by:
This work is supported by National Natural Science Foundation of China (No.62562047).

摘要/Abstract

摘要：

针对综合能源系统电、热、气等多种能源耦合，受到多重不确定性因素扰动的问题，构建了一种考虑可再生能源和设备多重不确定性的两阶段鲁棒优化调度模型。首先，构建了涵盖电、热、气的综合能源系统模型。其次，引入阶梯式碳交易机制来约束系统的碳排放量，建立以系统的经济性、鲁棒性和低碳性为目标的两阶段鲁棒低碳优化调度模型。最后，设置了5种场景，通过列-约束生成算法进行求解。仿真结果表明该模型能够在保证系统鲁棒性的同时，有效降低系统调度方案的碳排放量，提升调度方案的合理性。

关键词: 综合能源系统, 多重不确定性因素, 阶梯式碳交易, 鲁棒优化

Abstract:

To address the challenges of electricity-heat-gas coupling in integrated energy systems under multiple uncertainties, a two-stage robust optimization scheduling model is constructed that considers the multiple uncertainties from both renewable energy and equipment. Firstly, an integrated energy system model encompassing electricity, heat, and gas is established. Subsequently, with the objectives of system economy, robustness, and low-carbon performance, a two-stage robust low-carbon optimal scheduling model is established by introducing a tiered carbon trading mechanism to constrain carbon emissions. Finally, five scenarios are designed and solved using the column-and-constraint generation algorithm. Simulation results demonstrate that the proposed model effectively reduces carbon emissions of the system scheduling scheme while ensuring system robustness, thereby significantly enhancing the rationality of the scheduling scheme.

Key words: integrated energy system, multiple uncertainties, tiered carbon trading, robust optimization

杨胡萍, 龚家宁, 程明, 李向军, 刘常禄, 张扬. 计及多重不确定性的综合能源系统两阶段鲁棒低碳优化调度[J]. 中国电力, 2025, 58(11): 101-110, 121.

YANG Huping, GONG Jianing, CHENG Ming, LI Xiangjun, LIU Changlu, ZHANG Yang. Two-stage Robust Low-carbon Optimal Scheduling for Integrated Energy Systems Considering for Multiple Uncertainties[J]. Electric Power, 2025, 58(11): 101-110, 121.

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图/表 14

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设备	参数	取值	设备	参数	取值
EB	$ \eta _{\rm EB}^{} $	0.98	GB	$ {\eta _{\rm GB}} $	0.94
	$ H_{\rm EB}^{\max } $/kW	300		$ H_{\rm GB}^{\max } $/kW	600
	$ a_{\rm EB}^{\rm ope} $/(元·kW^–1)	0.024		$ a_{\rm GB}^{\rm ope} $/(元·kW^–1)	0.024
CHP	$ \eta _{\rm CHP}^e $	0.34	电储能	$ {\tau _{\rm ES}} $	0.001
	$ {\alpha _{\rm CHP}} $	1.48		$ \eta _{\rm ES}^{\rm cha} $	0.9
	$ P_{\rm CHP}^{\max } $/kW	500		$P_{{\text{ES}}}^{{\text{max}}}$/kW	250
	$ {L_{\rm NG}} $/(kW·m^–3)	9.7		$ E_{\rm ES}^{\min } $/kW	100
	$ a_{\rm CHP}^{\rm ope} $/(元·kW^–1)	0.04		$ E_{\rm ES}^{\max } $/kW	600
P2G	$ {\eta _{\rm P2 G}} $	0.88	FC	$ {\eta _{\rm FC}} $	0.78
	$ P_{\rm P2 G}^{\max } $/kW	550		$ P_{\rm FC}^{\max } $/kW	1 200
	$ a_{\rm P2 G}^{\rm ope} $/(元·kW^–1)	0.03		$ a_{\rm FC}^{\rm ope} $/(元·kW^–1)	0.05
热储能	$ {\tau _{\rm HS}} $	0.01	气储能	$ {\tau _{\rm GS}} $	0.01
	$ \eta _{\rm HS}^{\rm cha} $	0.95		$ \eta _{\rm GS}^{\rm cha} $	0.98
	$ \eta _{\rm HS}^{\rm dis} $	0.95		$ \eta _{\rm GS}^{\rm dis} $	0.98
	$H_{{\text{HS}}}^{{\text{max}}}$/kW	120		$G_{\rm GS}^{{\text{max}}}$/m³	30
	$ E_{\rm HS}^{\min } $/kW	100		$ E_{\rm GS}^{\min } $/m³	20
	$ E_{\rm HS}^{\max } $/kW	600		$ E_{\rm GS}^{\max } $/m³	100
	$ {E_{\rm HS,1}} $/kW	300		$ {E_{\rm GS,1}} $/m³	20

设备	参数	取值	设备	参数	取值
EB	$ \eta _{\rm EB}^{} $	0.98	GB	$ {\eta _{\rm GB}} $	0.94
	$ H_{\rm EB}^{\max } $/kW	300		$ H_{\rm GB}^{\max } $/kW	600
	$ a_{\rm EB}^{\rm ope} $/(元·kW^–1)	0.024		$ a_{\rm GB}^{\rm ope} $/(元·kW^–1)	0.024
CHP	$ \eta _{\rm CHP}^e $	0.34	电储能	$ {\tau _{\rm ES}} $	0.001
	$ {\alpha _{\rm CHP}} $	1.48		$ \eta _{\rm ES}^{\rm cha} $	0.9
	$ P_{\rm CHP}^{\max } $/kW	500		$P_{{\text{ES}}}^{{\text{max}}}$/kW	250
	$ {L_{\rm NG}} $/(kW·m^–3)	9.7		$ E_{\rm ES}^{\min } $/kW	100
	$ a_{\rm CHP}^{\rm ope} $/(元·kW^–1)	0.04		$ E_{\rm ES}^{\max } $/kW	600
P2G	$ {\eta _{\rm P2 G}} $	0.88	FC	$ {\eta _{\rm FC}} $	0.78
	$ P_{\rm P2 G}^{\max } $/kW	550		$ P_{\rm FC}^{\max } $/kW	1 200
	$ a_{\rm P2 G}^{\rm ope} $/(元·kW^–1)	0.03		$ a_{\rm FC}^{\rm ope} $/(元·kW^–1)	0.05
热储能	$ {\tau _{\rm HS}} $	0.01	气储能	$ {\tau _{\rm GS}} $	0.01
	$ \eta _{\rm HS}^{\rm cha} $	0.95		$ \eta _{\rm GS}^{\rm cha} $	0.98
	$ \eta _{\rm HS}^{\rm dis} $	0.95		$ \eta _{\rm GS}^{\rm dis} $	0.98
	$H_{{\text{HS}}}^{{\text{max}}}$/kW	120		$G_{\rm GS}^{{\text{max}}}$/m³	30
	$ E_{\rm HS}^{\min } $/kW	100		$ E_{\rm GS}^{\min } $/m³	20
	$ E_{\rm HS}^{\max } $/kW	600		$ E_{\rm GS}^{\max } $/m³	100
	$ {E_{\rm HS,1}} $/kW	300		$ {E_{\rm GS,1}} $/m³	20

场景	调度总成本/元	购电成本/元	购气成本/元	运维成本/元	碳交易成本/元	碳排放量/kg
1	34 672.54	6 309.48	2 773.47	628.30	0	32 184.53
2	35 328.64	6 042.94	28 626.10	659.89	0	32 225.86
3	35 423.52	6 590.39	28 180.77	652.35	0	32 422.17
4	37 255.30	6 285.74	28 481.98	654.62	1 832.95	31 996.38
5	37 822.76	6 007.07	28 760.42	661.39	2 393.87	31 556.53

场景	调度总成本/元	购电成本/元	购气成本/元	运维成本/元	碳交易成本/元	碳排放量/kg
1	34 672.54	6 309.48	2 773.47	628.30	0	32 184.53
2	35 328.64	6 042.94	28 626.10	659.89	0	32 225.86
3	35 423.52	6 590.39	28 180.77	652.35	0	32 422.17
4	37 255.30	6 285.74	28 481.98	654.62	1 832.95	31 996.38
5	37 822.76	6 007.07	28 760.42	661.39	2 393.87	31 556.53

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[15]	鲁玲, 苑涛, 杨波, 李欣, 鲁洋, 蒲秋平, 张鑫. 计及㶲效率和多重不确定性的区域综合能源系统双层优化[J]. 中国电力, 2025, 58(1): 128-140.

计及多重不确定性的综合能源系统两阶段鲁棒低碳优化调度

Two-stage Robust Low-carbon Optimal Scheduling for Integrated Energy Systems Considering for Multiple Uncertainties

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计及多重不确定性的综合能源系统两阶段鲁棒低碳优化调度

Two-stage Robust Low-carbon Optimal Scheduling for Integrated Energy Systems Considering for Multiple Uncertainties

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