Economic Dispatch Analysis of Risk Prevention and Control Based on Game Theory Equilibrium

doi:10.11930/j.issn.1004-9649.202402032

Abstract

Abstract:

To evaluate the costs and benefits of each power generation and consumption entity in the power system, it is necessary to analyze the game theory equilibrium point of the economic dispatch problem. With the massive integration of renewable energy units and the gradual improvement of users' awareness of green power consumption, both the generation and consumption sides of the power system are showing new characteristics. First of all, the low marginal cost characteristics of renewable energy units, the need for risk prevention and control of system operation, and users' demand for green power will all have an impact on the mathematical form of the economic dispatch problem. At the same time, traditional analytical methods also face problems such as numerous variables and difficulty in solving nonlinear equilibrium problems. In order to solve these problems, this paper first proposes an economic dispatch mathematical model for risk prevention and control of the power system considering green power generation and consumption and then puts forward a game theory equilibrium solution algorithm based on the optimal response method. Through case analysis, the game theory equilibrium situation of the economic dispatch problem under the generation and consumption of renewable energy is evaluated, and relevant suggestions are put forward for investment planning on the power generation side of the power system.

Key words: economic dispatch, renewable energy, risk prevention and control, game theory, equilibrium analysis

Qixiang WANG, Zhentao HAN, Yi LIANG. Economic Dispatch Analysis of Risk Prevention and Control Based on Game Theory Equilibrium[J]. Electric Power, 2024, 57(10): 69-77.

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URL: https://www.electricpower.com.cn/EN/10.11930/j.issn.1004-9649.202402032

https://www.electricpower.com.cn/EN/Y2024/V57/I10/69

Figures/Tables 13

Fig.1 Economic dispatch model considering generation and consumption of renewable energy

Fig.2 EPEC form of game theory equilibrium

Fig.3 Iterative algorithm to solve Nash equilibrium

Table 1 Cost parameters of renewable energy generators

发电商		1		2		3		4
c/(美元·(MW·h)^–1)		2		1.1		1.5		1.8

Table 2 Cost parameters of thermal power generators

发电商	1	2	3	4
a/(美元·(MW·h)^–2)	0.1	0.13	0.15	0.14
b/(美元·(MW·h)^–1)	3	6	4	5

Table 3 Green power shortage coefficient and total power demand of power users

用户	1	2	3
x/(美元·(MW·h)^–2)	0.2	0.35	0.4
L_total/(MW·h)	100	120	140

Table 4 Renewable energy and thermal power generation in different situations

场景	新能源电量/(MW·h)	火力发电量/(MW·h)	新能源渗透率/%
低	20	100	16.7
中	40	80	33.3
高	60	60	50.0

Fig.4 Strategic bidding parameters of thermal power units in equilibrium point

Table 5 Power price in equilibrium point

场景		低		中		高
价格/(美元·(MW·h)^–1)		16.9		13.7		10.5

Fig.5 Winning quantity of thermal power units in equilibrium point

Fig.6 Profits of thermal power units in equilibrium point

Table 6 Proportion of squeezed-out profit of thermal power generators 单位：%

用户	低场景	中场景	高场景
1	32.69	58.80	78.50
2	40.59	70.43	90.12
3	36.33	63.8	83.74
4	42.98	75.16	97.54

Fig.7 Green power supply to power users in equilibrium point

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