基于多场景随机规划的电热联合系统日前经济调度

doi:10.11985/2020.02.012

摘要/Abstract

摘要：

电热联合系统具有较高的灵活性,可以消纳更多的风电。在电热联合系统日前经济调度中,考虑风电的不确定性是一个需要研究的课题。风电预测误差可描述为概率服从正态分布的变量,采用抽样及场景削减得到具有一定概率的随机场景。以运行成本的期望值最小为目标,考虑了电热联合系统的运行约束以及各场景下的火电机组备用约束,建立了基于多场景随机规划的电热联合系统日前经济调度模型。最后,通过一个含6节点电网络和7节点热网络的算例验证了所提模型和方法的有效性与经济性。

关键词: 电热联合系统, 风电消纳, 多场景随机规划, 日前经济调度

Abstract:

The combined electro-thermal system has higher flexibility which can accommodate more wind power. Considering the uncertainty of wind power in day-ahead economic dispatch of combined electro-thermal system is a subject that needs to be studied. Wind power forecast error can be described as variable of probability following normal distribution. Sampling and scenario reduction are used to obtain stochastic scenes with certain probability. Aiming to minimize the expected value of the operating cost, considering the operating constraints of the combined electro-thermal system and the reserve constraints of thermal power units in each scenario, a day-ahead economic dispatch model of combined electro-thermal system based on multi-scenario stochastic programming is established. At last, a case of 6-node electric network and 7-node heating network is simulated to verify the effectiveness and economy of the proposed model and method.

Key words: Combined electro-thermal system, wind power accommodation, multi-scenario stochastic programming, day-ahead economic dispatch

中图分类号:

TM732

张鹏, 徐文宝. 基于多场景随机规划的电热联合系统日前经济调度[J]. 电气工程学报, 2020, 15(2): 85-91.

ZHANG Peng, XU Wenbao. Day-ahead Economic Dispatch of Combined Electro-thermal System Based on Multi-scenario Stochastic Programming[J]. Journal of Electrical Engineering, 2020, 15(2): 85-91.

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参数	数值
弃风惩罚成本系数δ/(￥/MW)	200
电锅炉的效率η^EB	0.99
水的比热容C_p/(MJ/(kg·℃))	4.182×10^-3
管道每单位长度的总传热系数λ/(W/(m·℃))	0.2
室内温度下限$T_{\min }^{\text{in}}$/℃		16
室内温度上限$T_{\max }^{\text{in}}$/℃		20
总调度时间T_c/h		24
空气热导率η_air/(kW/℃)		0.18

参数		数值
火电机组成本函数系数	b₀/￥	665
	b₁/(￥/MW·h)	27.27
	b₂/(￥/MW·h²)	0.002 22
火电机组出力下限$P_{\min }^{\text{G}}$/MW		25
火电机组出力上限$P_{\max }^{\text{G}}$/MW		55
火电机组上爬坡率P^up/(MW/min)		1
火电机组下爬坡率P^down/(MW/min)		1

参数		数值
CHP机组成本函数系数	a₀/￥	312.5
	a₁/(￥/MW·h)	30
	a₂/(￥/MW·h)	0.002 719
	a₃/(￥/MW·h²)	0.15
	a₄/(￥/MW·h²)	0.001 688
	a₅/(￥/MW·h²)	0.000 688
最大向上热功率爬坡速率Ф^up/(MW/min)		1
最大向下热功率爬坡速率Ф^down/(MW/min)		1

管道编号	L/m	D/m	m/(kg/s)
1	700	0.8	93.270 55
2	500	0.6	77.764 28
3	500	0.6	62.248 33
4	400	0.5	46.720 26
5	500	0.3	31.179 25
6	500	0.3	15.613 97

情景	运行成本/元	弃风量(%)
含电锅炉	63 431.932	0.091
不含电锅炉	66 102.234	4.325