CN109934454A - The interruptible load compensation method shared based on Nash income - Google Patents

The interruptible load compensation method shared based on Nash income Download PDF

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Publication number
CN109934454A
CN109934454A CN201910074526.7A CN201910074526A CN109934454A CN 109934454 A CN109934454 A CN 109934454A CN 201910074526 A CN201910074526 A CN 201910074526A CN 109934454 A CN109934454 A CN 109934454A
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China
Prior art keywords
income
user
nash
power supply
shared
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CN201910074526.7A
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Chinese (zh)
Inventor
王敏
石逸
张鹏
姜远志
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Hohai University HHU
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Hohai University HHU
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Priority to CN201910074526.7A priority Critical patent/CN109934454A/en
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Abstract

The present invention discloses a kind of interruptible load compensation method shared based on Nash income, comprising: 1. calculate user and the respective income of power supply company that interruptible load is participated in when maximizing with corporate income of powering;2. negotiating income Share Model using Nash to redistribute income, further comprise: the power supply supply chain revenue function of building power supply company and user's composition simultaneously calculates optimal interruption amount;It constructs Nash and negotiates income Share Model;Shared coefficient is calculated, and the foundation that coefficient is redistributed as income is shared using this.The present invention is aiming at the problem that can currently interrupt compensation, it proposes and the shared calculation method of income is negotiated based on Nash, negotiate income Share Model using Nash, it reallocates on the basis of the supply chain Income Maximum that power supply company forms with user to income, it is unreasonable to solve the problems, such as that interruptible load compensates.

Description

The interruptible load compensation method shared based on Nash income
Technical field
The invention belongs to electric system Demand Side Response electricity price calculating field, it is related to calculating each side based on Nash isostatic theory The technique study of face income, specially a kind of interruptible load compensation method shared based on Nash income.
Background technique
With China's expanding economy, electricity needs peak-valley difference causes the frequent start-stop of unit and system standby away from gradually widening The problem of being increased with capacity.This greatly increases cost of electricity-generatings.The power system reform of a national new round explicitly points out implementation Demand Side Response (Demand Response, DR), the balance of power supply and demand is adjusted by market.Demand side management is basic Type includes peak clipping, valley-fill, load transfer, strategic economize on electricity, strategic load growth.It, can be with from the point of view of the influence to load It is divided into two fundamental types: peak clipping and valley-fill.Interruptible load is the main means of peak clipping, is had to the implementation of demand side management Important role.
Interruptible load refers under power grid peak period or emergency, the part that customer charge center can interrupt. Interruptible load usually passes through economic contract (agreement) realization.It is signed by Utilities Electric Co. and user, in system peak and tight Under anxious state, user provides to interrupt as agreed and the certain economic compensation of user is given by reduction plans, Utilities Electric Co..It crosses herein User's income and power supply company's income in journey are calculated according to existing user's revenue function and power supply company's revenue function It obtains.In the prior art, has the research for user's revenue function and power supply company's revenue function, such as 2004 " the Modeling and of W.Si disclosed in Power&Energy Engineering Conference et al. Implementation of Incentive Interruptible Load Contracts in Electricity Markets”。
The present invention proposes to use method of assorted (Nash) negotiation for that can interrupt compensation optimizing of receiving, and goes out from the angle of supply chain Hair realizes the weight of interests using the principle that Nash equilibrium income is shared on the basis for realizing the overall benefit of society New distribution, realizes the benefit of both sides, thus the enthusiasm for further motivating user and power supply company market to participate in.
Summary of the invention
It is interrupted in response to the problems existing in the prior art, the purpose of the present invention is to provide a kind of based on what Nash income was shared Load compensation method solves the problems, such as that further excitation user participates in interruptible load by the compensation of reasonable interruptible load.
To achieve the above object, the technical solution adopted by the present invention is that:
The interruptible load compensation method shared based on Nash income, comprising the following steps:
Step 1, it calculates when being maximized with corporate income of powering, participates in user and the power supply company of interruptible load Respective income;
Step 2, negotiate income Share Model using Nash to redistribute income, further comprise:
Step 2.1, it constructs the power supply supply chain revenue function of power supply company and user's composition and calculates optimal interruption amount;
Step 2.2, building Nash negotiates income Share Model;
Step 2.3, shared coefficient is calculated, and the foundation that coefficient is redistributed as income is shared using this.
Preferably, step 1 further comprises:
Constructing user's revenue function is
Wherein, i is Customs Assigned Number, and k is user type number, and α is the loss late of user under different advance notification times, A It is all constant with B, p is the electricity interrupted, and θ ∈ [0~1] indicates user type, and what h was represented is to interrupt low spot valence and height in compensation Compensate the high compensation way in two ways;
Constructing power supply company's revenue function is
Wherein, r is the risk partiality factor, and when r < 0 indicates that Utilities Electric Co. is risk avertion type, r=0 indicates risk neutral, R > 0 indicates that Utilities Electric Co. is risk-seeking type, and λ is that power supply company supplies the cost depletions of corresponding user on the line, PmFor Electricity retail market price and the first interpolation for being sold to user's electricity price,For its average value,For its variance.
Preferably, step 1 further comprises: according to
Calculate user's income U' when maximizing with corporate income of poweringcWith power supply company income U's, wherein fk It (i) be user i is certain type of probability, and ∑ fk(i)=1.
Specifically, what formula (3) represented is desired maximum receipts of power supply company in the case where multiple and different type of user Benefit.Due to the actual type of user in the angle of power supply company be it is unknown, power supply company is certain seed type by estimation user Probability, to calculate oneself income.In formula (3), pk(i) be user be certain seed type when interruption amount, PILhgkIt (i) is use Family, which is under the type, calculates resulting compensation according to formula (1).
Preferably, step 2.1 further comprises: passing through the power supply supply chain revenue function for constituting power supply company and user It maximizes to calculate optimal interruption amount, that is, foundation
Obtain optimal interruption amount
Wherein, A '=α A, B '=α B, θ '=Σ fk(i)·θk(i)。
Specifically, the power supply supply chain revenue function is the sum of user's revenue function and power supply company's revenue function.
Preferably, step 2.2 further comprises, and: γ is shared coefficient, and γ ∈ [0,1] can obtain power supply company's income and be
The income of user are as follows:
The Nash negotiates income Share Model
Preferably, in step 2.3, calculating resulting shared coefficient is
Compared with prior art, it the beneficial effects of the present invention are: the present invention negotiates income Share Model using Nash, solves In Traditional calculating methods, only power supply company's side maximum revenue is considered the problems of, it is shared by income, obtain supply chain income Reasonable distribution, so that further excitation user participates in interruptible load.
Detailed description of the invention
Fig. 1 is the flow diagram of the method for the present invention.
Specific embodiment
Below in conjunction with the attached drawing in the present invention, technical solution of the present invention is clearly and completely described, it is clear that Described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.Based on the implementation in the present invention Example, those of ordinary skill in the art's all other embodiment obtained under the conditions of not making creative work belong to The scope of protection of the invention.
The present invention proposes aiming at the problem that can currently interrupt compensation and negotiates the shared calculation method of income based on Nash, Using Nash negotiate income Share Model, power supply company and user composition supply chain Income Maximum on the basis of to income into Row is reallocated, and it is unreasonable to solve the problems, such as that interruptible load compensates.This method method is the following steps are included: (1) calculates supply chain The interruption amount and supply chain income of interruptible load under maximum revenue.(2) building Nash negotiates income Share Model and makes it It maximizes.(3) income and shared coefficient of the corresponding power supply company of calculating and user and on this basis distribution supply chain receipts Benefit.
Specifically, as shown in Figure 1, the present invention provides a kind of interruptible load compensation method shared based on Nash income, The following steps are included:
Step 1, it calculates when being maximized with corporate income of powering, participates in user and the power supply company of interruptible load Respective income.
In specific implementation, user's income is that the interruption compensation that power supply company provides subtracts interruption bring loss, i.e.,
Uc=PILh-Cu(θ,p) (1)
And the income of power supply company is to interrupt user's bring income to subtract the compensation for being supplied to user, i.e.,
Sum of the two is to constitute the income of supply chain.Simultaneously because user's actual types are unknown, calculated using probabilistic model The expectation of income.
Specifically, it when being maximized with corporate income of powering, calculates the user for participating in interruptible load and power supply is public The revenue function difference for taking charge of respective income is as follows:
User's revenue function is
Wherein, i is Customs Assigned Number, and k is user type number, and α is the loss late of user under different advance notification times, A It is all constant with B, p is the electricity interrupted, and θ ∈ [0~1] indicates user type, and what h was represented is to interrupt low spot valence and height in compensation Compensate the high compensation way in two ways;
Power supply company's revenue function is
Wherein, r is the risk partiality factor, and when r < 0 indicates that Utilities Electric Co. is risk avertion type, r=0 indicates risk neutral, R > 0 indicates that Utilities Electric Co. is risk-seeking type, and λ is that power supply company supplies the cost depletions of corresponding user on the line, PmFor Electricity retail market price and the first interpolation for being sold to user's electricity price,For its average value,For its variance.
After building the respective revenue function of user and power supply company, calculated according to formula (5) to power corporate income most User's income U in the case of bigizationc' and power supply company's income Us',
Wherein, fkIt (i) be user i is certain type of probability, and ∑ fk(i)=1.
Step 2, negotiate income Share Model using Nash to redistribute income, further comprise:
Step 2.1, it constructs the power supply supply chain revenue function of power supply company and user's composition and calculates optimal interruption amount.
Wherein, user's income subtracts for the interruption compensation that power supply company provides and interrupts bring loss, and power supply company Income is to interrupt user's bring income to subtract the compensation for being supplied to user, and sum of the two is to constitute the income of supply chain.
Specifically, it is maximized by the power supply supply chain revenue function for constituting power supply company and user to calculate in optimal Disconnected amount, i.e., be calculated optimal interruption amount according to formula (4),
Obtain optimal interruption amount
Wherein, A '=α A, B '=α B, θ '=Σ fk(i)·θk(i)。
Step 2.2, building Nash negotiates income Share Model.It is used on the basis of realizing supply chain maximum revenue Nash income Share Model reallocates to income.
Specifically, it is assumed that share coefficient, and γ ∈ [0,1], can obtain power supply company's income is γ
The income of user are as follows:
In formula (8), (9), the part in bracket is supply chain income.
It constructs Nash and negotiates income Share Model
Here Us' power supply company income of expression under the conditions of maximized with company's interest of powering;U'cIt is that power supply is public The income of user in the case of department benefit.
Step 2.3, shared coefficient is calculated, and the foundation that coefficient is redistributed as income is shared using this.
Specifically, to formula (10) by taking logarithm, then it is to calculating resulting shared coefficient after γ derivation
In addition, income shares the foundation that coefficient is user and power supply company's distribution supply chain profit.According to calculated Optimal interruption amount, can calculate supply chain maximum return;Shared coefficient, Ji Ketong are calculated by Nash income Share Model again Shared coefficient is crossed, distributes income according to formula (8) and (9).
Embodiment
The present embodiment implements method of the invention by specific data, the results show that the present invention negotiates income using Nash The method that Share Model redistributes income can be further improved the income of user and power supply company, thus further User and power supply company is motivated to participate in interruptible load.The data that the present embodiment uses are as shown in the table:
The distribution of 1 user type of table
The loss late of the different advance notification times of table 2
3 user information of table
Wherein, table 1 is the type distribution of the user of power supply company's estimation;Table 2 is the loss under different advance notification times Rate;Table 3 be user actual types and power supply company supply electric energy to respective nodes cost depletions.
User's interruption amount (kilowatt hour) and income (member) (t=15 minutes) under 4 power supply company benefit of table
Table 5. is based on the income under Nash income general character compared with based on income both under power supply company's maximum revenue (member) (t=15 minutes)
Table 4, table 5 are when advance notification times are 15 minutes, and user and power supply company are with company's interest of powering It maximizes and the respective situation of Profit after income is shared is negotiated by Nash.Table 4 is as can be seen that the algorithm used makes user Maximum benefit is obtained at the actual types of oneself.And in table 5, the first row and third behavior are for electric company's interest maximization feelings The income of the user and power supply company that calculate under condition, the second row and fourth line are each after negotiating income Share Model using Nash From income.It can be found that the income of the latter increases compared with the former.
Income compares (member) both under the different advance notification times of table 6
Table 6 is under different advance notification times, in the maximized calculation method of company's interest of powering and the present embodiment Using Nash negotiate income Share Model calculation method both methods brought by income comparison, it is found that the latter compared with The former increases at the income in user side and power supply company side.It is shared in conclusion the Nash of the present embodiment negotiates income Model can be further improved the income of user and power supply company, so that further excitation user participates in interrupt with power supply company Load.
It although an embodiment of the present invention has been shown and described, for the ordinary skill in the art, can be with A variety of variations, modification, replacement can be carried out to these embodiments without departing from the principles and spirit of the present invention by understanding And modification, the scope of the present invention is defined by the appended.

Claims (6)

1. the interruptible load compensation method shared based on Nash income, which comprises the following steps:
Step 1, it calculates when being maximized with corporate income of powering, participates in the user of interruptible load with power supply company respectively Income;
Step 2, negotiate income Share Model using Nash to redistribute income, further comprise:
Step 2.1, it constructs the power supply supply chain revenue function of power supply company and user's composition and calculates optimal interruption amount;
Step 2.2, building Nash negotiates income Share Model;
Step 2.3, shared coefficient is calculated, and the foundation that coefficient is redistributed as income is shared using this.
2. the interruptible load compensation method according to claim 1 shared based on Nash income, which is characterized in that step 1 further comprises:
Constructing user's revenue function is
Wherein, i is Customs Assigned Number, and k is user type number, and α is the loss late of user under different advance notification times, and A and B are It is constant, p is the electricity interrupted, and θ ∈ [0~1] indicates user type, and what h was represented is to interrupt low spot valence and high compensation in compensation High compensation way in two ways;
Constructing power supply company's revenue function is
Wherein, r is the risk partiality factor, and when r < 0 indicates that Utilities Electric Co. is risk avertion type, r=0 indicates risk neutral, r > 0 Indicate that Utilities Electric Co. is risk-seeking type, λ is that power supply company supplies the cost depletions of corresponding user on the line, PmFor electric power Retail market price and the first interpolation for being sold to user's electricity price,For its average value,For its variance.
3. the interruptible load compensation method according to claim 2 shared based on Nash income, which is characterized in that step 1 further comprises: according to
Calculate user's income U ' when maximizing with corporate income of poweringcWith power supply company income U 's, wherein fk(i) It is certain type of probability for user i, and ∑ fk(i)=1.
4. the interruptible load compensation method according to claim 1 shared based on Nash income, which is characterized in that step 2.1 further comprise: are maximized by the power supply supply chain revenue function for constituting power supply company and user to calculate in optimal Disconnected amount, that is, foundation
Obtain optimal interruption amount
Wherein, A '=α A, B '=α B, θ '=Σ fk(i)·θk(i)。
5. the interruptible load compensation method according to claim 1 shared based on Nash income, which is characterized in that step 2.2 further comprise: to share coefficient, and γ ∈ [0,1], obtain power supply company's income is γ
User's income are as follows:
The Nash negotiates income Share Model
6. the interruptible load compensation method according to claim 1 shared based on Nash income, which is characterized in that step In 2.3, calculating resulting shared coefficient is
CN201910074526.7A 2019-01-25 2019-01-25 The interruptible load compensation method shared based on Nash income Pending CN109934454A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111275285A (en) * 2019-12-30 2020-06-12 昆明电力交易中心有限责任公司 Power consumption regulation and control method and system considering interruptible load capacity

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111275285A (en) * 2019-12-30 2020-06-12 昆明电力交易中心有限责任公司 Power consumption regulation and control method and system considering interruptible load capacity
CN111275285B (en) * 2019-12-30 2024-02-20 昆明电力交易中心有限责任公司 Power consumption regulation and control method and system considering interruptible load capacity

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