多重不确定环境下考虑阶梯型碳交易的虚拟电厂低碳经济调度

doi:10.16183/j.cnki.jsjtu.2022.185

摘要/Abstract

摘要：

含碳捕集系统的虚拟电厂(VPP)为提升能源效率、实现“双碳”目标提供了一种新路径,同时灵活协调VPP系统内多重不确定性是实现系统低碳运行的关键前提.提出一种在多重不确定性环境下考虑阶梯型碳交易的VPP低碳经济调度模型.对碳捕集系统和需求响应进行建模,并在优化调度模型中引入碳交易机制,构建阶梯型碳交易成本模型,对系统碳排放量进行制约.对VPP内多种不确定因素进行建模,包括风力发电、光伏、负荷、电动汽车,建立考虑机会约束的VPP低碳经济调度模型.运用可调鲁棒优化处理电动汽车的不确定性,并基于序列运算理论,将含机会约束的不确定模型转化为混合整数线性规划模型.采用数字优化技术CPLEX求解,在实际VPP算例中验证了所提模型的有效性.

关键词: 虚拟电厂, 碳捕集, 机会约束规划, 阶梯型碳交易, 低碳经济调度, 可调鲁棒优化

Abstract:

Virtual power plant (VPP) with a carbon capture system provides a new path to improve energy efficiency and achieve the target of carbon peaking and carbon neutrality. At the same time, flexible coordination of multiple uncertainties in the VPP system is a key premise to realize low-carbon operation of the system. A low-carbon economic dispatch model of VPP considering ladder-type carbon trading in multiple uncertainties is proposed. The carbon capture system and demand response are modeled, and a carbon trading mechanism is introduced into the optimal dispatch model to build a ladder-type carbon trading cost model to restrict system carbon emissions. A variety of uncertain factors in VPP is modeled, including wind power generation, photovoltaic, load and electric vehicle, and a low carbon economic dispatch model of VPP is established considering opportunity constraints. The uncertainty of electric vehicles is dealt with by using adjustable robust optimization. Based on the sequence operation theory, the uncertain model with opportunity constraints is transformed into a mixed integer linear programming model. The decision optimization technology CPLEX solution is used to verify the effectiveness of the proposed model in an actual VPP example.

Key words: virtual power plant (VPP), carbon capture, opportunity constrained programming, stepped carbon trading, low carbon economic dispatch, tunable Robust optimization

中图分类号:

TM732

彭思佳, 邢海军, 成明洋. 多重不确定环境下考虑阶梯型碳交易的虚拟电厂低碳经济调度[J]. 上海交通大学学报, 2023, 57(12): 1571-1582.

PENG Sijia, XING Haijun, CHENG Mingyang. Low Carbon Economic Dispatch of Virtual Power Plants Considering Ladder-Type Carbon Trading in Multiple Uncertainties[J]. Journal of Shanghai Jiao Tong University, 2023, 57(12): 1571-1582.

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功率/kW	概率
0	e(0)
q	e(1)
u_eq	e(u_e)
N_e_,_tq	e(N_e_,_t)

时段	特定时间段	电价/ (元·kW^-1·h^-1)
高峰期	8:00—11:00, 18:00—21:00	0.964
中峰期	6:00—7:00, 12:00—17:00	0.575
低峰期	1:00—5:00, 22:00—24:00	0.273

ζ/元	ψ/元	w_re,GT/(元·kW^-1)	w_on/(元·kW^-1)
1.2	0.35	0.04	1.6
P^GT,max/kW		λ_T/(kg·kW^-1·h^-1)	Q_G/(kg·kW^-1·h^-1)
500		0.156	0.4

π	α/%	F_risk/元	不计风险成本的收益/元	计及风险成本的收益/元
2	99	251.91	5916.40	5664.49
	97	316.77	6160.00	5843.23
	95	723.68	6366.31	5642.64
	93	1162.82	6515.82	5353.01
	91	1517.52	6684.76	5167.25
3	99	629.77	5916.40	5286.63
	97	791.92	6160.00	5368.08
	95	1809.2	6366.31	4557.12
	93	2907.05	6515.82	3608.78
	91	3793.8	6684.76	2890.97
5	99	1007.64	5916.40	4908.76
	97	1267.08	6160.00	4892.92
	95	2894.72	6366.31	3471.60
	93	4651.28	6515.82	1864.55
	91	6070.08	6684.76	614.69

模式	碳排放量/kg	碳捕集量/kg	碳交易成本/元	碳捕集运行成本/元	CO₂出售收益/元
一	4831.40	0	2162.0	0	0
二	520.56	3533.5	-983.8	989.30	3180.1
三	599.16	3521.5	-894.2	986.02	3169.3
四	4895.40	0	2177.0	0	0