CN108537393A - Wind power plant overhead power transmission line Section Optimization based on chance constrained programming - Google Patents
Wind power plant overhead power transmission line Section Optimization based on chance constrained programming Download PDFInfo
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- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
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- Y04S10/50—Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications
Abstract
The present invention relates to a kind of wind power plant overhead power transmission line Section Optimization based on chance constrained programming.Consider the randomness of temperature and wind speed, it is up to target with social benefit desired value, including sending out wind-powered electricity generation income wind power plant transmission project year, abandoning wind punishment cost, transmission line of electricity cost of investment, multi-line power transmission cost depletions and circuit O＆M cost, transmission based on confidence level constrains and abandons wind constraint, the Chance-Constrained Programming Model that wind-powered electricity generation sends out conductor cross-section type selecting is established, realizes that wind power plant sends out circuit section optimization.
Description
Technical field
The present invention relates to transmission line of electricity section optimal, especially a kind of wind power plant based on chance constrained programming sends transmission of electricity outside
Circuit section optimization method.
Background technology
Wind resource is generally off-site from load center, needs to build mating long-distance transmission line, deliver the power to negative
Lotus center.For electric power netting safe running, the maximum transfer capacity of transmission line of electricity is usually such as pole under worst environmental condition
The maximum constant that high temperature and extremely low wind speed calculate allows transmission capacity.Since Practical Meteorological Requirements condition is not often counted
Calculation meteorological condition is severe, and the transmission capacity constraint of existing transmission line of electricity is relatively conservative, reduces the upper limit of transportable power, no
Conducive to the economical operation of electric system.In this way, in order to improve transmission capacity, Practical Project can generally select the conductor cross-section of bigger
Product reduces transmission line of electricity utilization ratio, is unfavorable for the economy of power transmission engineering to increase construction investment, especially to it is long away from
Circuit from conveying.
Existing research is substantially the optimization for sending capacity outside about wind-powered electricity generation, do not advanced optimize still section type selecting and
The transmittability of power transmission engineering is more not based on the randomness of wind speed and temperature, and conducting wire is selected using Chance-Constrained Programming Model
Optimal cross section product, to reduce the cost that overly conservative decision scheme is paid, realize the maximization of social benefit.
Invention content
The wind power plant overhead power transmission line section optimal based on chance constrained programming that the purpose of the present invention is to provide a kind of
Method considers the randomness of temperature and wind speed meteorologic factor, is maximized with wind power plant and its transmission project social benefit, establishes machine
The wind power plant that planning can be constrained sends out power transmission line section optimal model, and sending out circuit section route selection for wind power plant provides one kind effectively
Side.
To achieve the above object, the technical scheme is that：A kind of wind power plant based on chance constrained programming is sent outside defeated
Electric line Section Optimization considers the randomness of temperature and wind speed, is up to target with social benefit desired value, including wind-powered electricity generation
It sends out wind-powered electricity generation income field transmission project year, abandon wind punishment cost, transmission line of electricity cost of investment, multi-line power transmission cost depletions and circuit
O＆M cost, the transmission based on confidence level constrain and abandon wind constraint, establish the chance constraint that wind-powered electricity generation sends out conductor cross-section type selecting
Plan model realizes that wind power plant sends out circuit section optimization.
In an embodiment of the present invention, steps are as follows for this method specific implementation：
Step S1：The history meteorological data around wind power plant submitting transmission line of electricity is obtained, its point is studied by historical data
Cloth rule；
Step S2：To in history meteorological data environment temperature and wind speed taken out using Latin Hypercube Sampling method
Sample：According to environment temperature taWith the regularity of distribution of wind speed V, environment temperature and wind speed are carried out using Latin Hypercube Sampling method
Sampling, extracts N number of sample out, i.e., N number of scene, s-th of scene is expressed as X (s)={ ta(s), V (s) }, s=1,2 ..., N, s
The probability of a scene is p (s)；
Step S3：Establish the wind power plant overhead power transmission line section optimal object function based on chance constrained programming：Due to
Environment temperature and wind speed have randomness, and the maximum carrying capacity of conducting wire is a stochastic variable, conducting wire maximum delivery power and society
Meeting benefit is also stochastic variable, considers to send out wind-powered electricity generation income year, abandons wind punishment cost, transmission line of electricity cost of investment, multi-line power transmission
Cost depletions and circuit O＆M cost are up to target with social benefit desired value, and function is as follows：
f(Sline, X (s)) and=pwQw-pqQq-Ct-Cploss-Cop
In formula：E [°] is mathematic expectaion；f(Sline, X (s)) and it is social benefit；Sectional area of wire SlineFor the variable of optimization；
pwFor wind-powered electricity generation rate for incorporation into the power network；pqTo abandon wind penalty coefficient；QwElectricity is sent outside for year wind-powered electricity generation；QqTo abandon wind-powered electricity generation amount year；QzFor wind-powered electricity generation year
Gross generation；CtFor the years value such as transmission line of electricity investment；CplossCircuit year transmission losses cost is sent outside for wind power plant；CopFor wind power plant
Send circuit year O＆M cost outside；
Step S4：Establish the wind power plant overhead power transmission line section optimal constraints based on chance constrained programming：
1) output of wind electric field constrains
0≤Pw,t≤Pw_max
Pc,t+Pq1,t=Pw,t
2) sectional area of wire constrains
Sline_min≤Sline≤Sline_max
3) wind power plant sends line transmission power constraint outside
Pr{Pl,t≥Pc,t}≥α
4) wind-powered electricity generation abandons the constraint of wind rate
Pr{δwloss≤δN}≥β
In formula：Pw_maxFor the output of wind electric field upper limit；Pw,t、Pc,t、Pq1,tTo be sent out outside t moment output of wind electric field, wind power plant
Power and wind-powered electricity generation abandon wind power；Sline_minAnd Sline_maxThe respectively lower and upper limit of sectional area of wire；Pr{ ° } is event in { ° }
The probability of establishment；α, β are the confidence level of previously given constraints；Pl,tFor t moment circuit maximum transmission power；Pw,tFor
T moment wind power output；δwlossWind rate is abandoned for wind-powered electricity generation；δNWind rate is abandoned for what wind-powered electricity generation allowed；
Step S5：Model is solved using particle swarm optimization algorithm, obtains optimal section of wind power plant overhead power transmission line
Area.
In an embodiment of the present invention, steps are as follows for the specific implementation of the step S3：
Step S31：According to environment temperature, the current-carrying capacity of conducting wire is calculated with Morgan equation, according to the current-carrying capacity of conducting wire
To determine the maximum delivery power of conducting wire；When conducting wire allows temperature to rise identical, under certain conductor cross-section, different environment temperatures
Different with the different corresponding maximum carrying capacities of wind speed, the transportable capacity of conducting wire is different；Conducting wire maximum delivery power and maximum
The relationship of current-carrying capacity is as follows：
In formula：ItFor the corresponding conducting wire maximum carrying capacity of t period environment temperatures；Pl,tFor t moment circuit maximum transmitted work(
Rate；U is line voltage distribution grade；For the power factor of line transmission power；
Step S32：It is worth the cost of investment that method calculates wind power plant overhead power transmission line according to years such as expenses：
The years value calculation formula such as transmission line of electricity investment is as follows：
In formula：Y is the investment of transmission line of electricity per area per length；SlineFor sectional area of wire；L is transmission pressure
Length；ntFor transmission line of electricity static investment return period；R is discount rate；
Step S33：The transmission losses cost calculation of wind power plant overhead power transmission line year：
Cploss=p × Qploss
Qploss=Qw×β×L
In formula：P is average electricity price；QplossFor year line loss electricity；β is the circuit unit length proportion of goods damageds；
Step S34：The calculation formula of year circuit O＆M cost is as follows：
Cop=α × L
In formula：α is the O＆M cost of 1 year circuit unit length.
Compared to the prior art, the invention has the advantages that：The present invention consider environment temperature and wind speed have with
The maximum carrying capacity of machine, conducting wire is a stochastic variable, and the maximum delivery power of conducting wire is also a stochastic variable, thus with
The mode of probability constrains the conveying capacity limitation of circuit and abandons the constraint of wind rate caused by conveying capacity limits, and establishes and considers wind-powered electricity generation
Field power transmission engineering social benefit maximumlly sends out circuit section optimized Selection model, and the transmission of electricity potentiality fully to excavate conducting wire are
Basis obtains the Optimum cross section for meeting confidence level constraint.
Description of the drawings
Fig. 1 is the economic voltage loss and social benefit intention under the year-on-year variation of confidence level in the embodiment of the present invention.
Specific implementation mode
Below in conjunction with the accompanying drawings, technical scheme of the present invention is specifically described.
A kind of wind power plant overhead power transmission line Section Optimization based on chance constrained programming of the present invention considers temperature
With the randomness of wind speed, target is up to social benefit desired value, including sending out wind-powered electricity generation income wind power plant transmission project year, abandoning
Wind punishment cost, transmission line of electricity cost of investment, multi-line power transmission cost depletions and circuit O＆M cost, the transmission based on confidence level
Wind constraint is constrained and abandoned, the Chance-Constrained Programming Model that wind-powered electricity generation sends out conductor cross-section type selecting is established, realizes that wind power plant sends out circuit
Section optimal.Steps are as follows for this method specific implementation：
Step S1：The history meteorological data around wind power plant submitting transmission line of electricity is obtained, its point is studied by historical data
Cloth rule；
Step S2：To in history meteorological data environment temperature and wind speed taken out using Latin Hypercube Sampling method
Sample：According to environment temperature taWith the regularity of distribution of wind speed V, environment temperature and wind speed are carried out using Latin Hypercube Sampling method
Sampling, extracts N number of sample out, i.e., N number of scene, s-th of scene is expressed as X (s)={ ta(s), V (s) }, s=1,2 ..., N, s
The probability of a scene is p (s)；
Step S3：Establish the wind power plant overhead power transmission line section optimal object function based on chance constrained programming：Due to
Environment temperature and wind speed have randomness, and the maximum carrying capacity of conducting wire is a stochastic variable, conducting wire maximum delivery power and society
Meeting benefit is also stochastic variable, considers to send out wind-powered electricity generation income year, abandons wind punishment cost, transmission line of electricity cost of investment, multi-line power transmission
Cost depletions and circuit O＆M cost are up to target with social benefit desired value, and function is as follows：
f(Sline, X (s)) and=pwQw-pqQq-Ct-Cploss-Cop
In formula：E [°] is mathematic expectaion；f(Sline, X (s)) and it is social benefit；Sectional area of wire SlineFor the variable of optimization；
pwFor wind-powered electricity generation rate for incorporation into the power network；pqTo abandon wind penalty coefficient；QwElectricity is sent outside for year wind-powered electricity generation；QqTo abandon wind-powered electricity generation amount year；QzFor wind-powered electricity generation year
Gross generation；CtFor the years value such as transmission line of electricity investment；CplossCircuit year transmission losses cost is sent outside for wind power plant；CopFor wind power plant
Send circuit year O＆M cost outside；
Step S4：Establish the wind power plant overhead power transmission line section optimal constraints based on chance constrained programming：
Wind power plant overhead power transmission line section optimal constraints based on chance constrained programming include output of wind electric field about
Beam, sectional area of wire size constraint, wind power plant send line transmission power constraint outside and wind power plant abandons the constraint of wind rate.Due to environment temperature
Degree and wind speed have randomness, and the maximum carrying capacity of conducting wire is a stochastic variable, and conducting wire maximum delivery power is also to become at random
Amount.Chance constrained programming mainly for containing stochastic variable in constraints, and must the realization for observing stochastic variable it
Before the case where making decisions.In view of done decision may be unsatisfactory for constraints when rough sledding occurs, and take one kind
Principle：Done decision is allowed to be unsatisfactory for constraints to a certain extent, but the decision should make the probability that constraints is set up
Not less than a certain confidence level.Therefore, wind constraint is constrained and abandoned for transimission power related with transmission capacity, and the present invention is with general
The mode of rate indicates the conveying capacity limitation of circuit and abandons the constraint of wind rate, avoids conductor cross-section type selecting overly conservative and reduces engineering
Economy.Constraints is specific as follows：
1) output of wind electric field constrains
0≤Pw,t≤Pw_max
Pc,t+Pq1,t=Pw,t
2) sectional area of wire constrains
Sline_min≤Sline≤Sline_max
3) wind power plant sends line transmission power constraint outside
Pr{Pl,t≥Pc,t}≥α
4) wind-powered electricity generation abandons the constraint of wind rate
Pr{δwloss≤δN}≥β
In formula：Pw_maxFor the output of wind electric field upper limit；Pw,t、Pc,t、Pq1,tTo be sent out outside t moment output of wind electric field, wind power plant
Power and wind-powered electricity generation abandon wind power；Sline_minAnd Sline_maxThe respectively lower and upper limit of sectional area of wire；Pr{ ° } is event in { ° }
The probability of establishment；α, β are the confidence level of previously given constraints；Pl,tFor t moment circuit maximum transmission power；Pw,tFor
T moment wind power output；δwlossWind rate is abandoned for wind-powered electricity generation；δNWind rate is abandoned for what wind-powered electricity generation allowed；
Step S5：Model is solved using particle swarm optimization algorithm, obtains optimal section of wind power plant overhead power transmission line
Area.
Steps are as follows for the specific implementation of the step S3：
Step S31：According to environment temperature, the current-carrying capacity of conducting wire is calculated with Morgan equation, according to the current-carrying capacity of conducting wire
To determine the maximum delivery power of conducting wire；When conducting wire allows temperature to rise identical, under certain conductor cross-section, different environment temperatures
Different with the different corresponding maximum carrying capacities of wind speed, the transportable capacity of conducting wire is different；Conducting wire maximum delivery power and maximum
The relationship of current-carrying capacity is as follows：
In formula：ItFor the corresponding conducting wire maximum carrying capacity of t period environment temperatures；Pl,tFor t moment circuit maximum transmitted work(
Rate；U is line voltage distribution grade；For the power factor of line transmission power；
Step S32：It is worth the cost of investment that method calculates wind power plant overhead power transmission line according to years such as expenses：
The years value calculation formula such as transmission line of electricity investment is as follows：
In formula：Y is the investment of transmission line of electricity per area per length；SlineFor sectional area of wire；L is transmission pressure
Length；ntFor transmission line of electricity static investment return period；R is discount rate；
Step S33：The transmission losses cost calculation of wind power plant overhead power transmission line year：
Cploss=p × Qploss
Qploss=Qw×β×L
In formula：P is average electricity price；QplossFor year line loss electricity；β is the circuit unit length proportion of goods damageds；
Step S34：The calculation formula of year circuit O＆M cost is as follows：
Cop=α × L
In formula：α is the O＆M cost of 1 year circuit unit length.
It is specific embodiments of the present invention below.
Embodiment：Wind farm group total installation of generating capacity is 891MW, wind-powered electricity generation rate for incorporation into the power network pw=0.6 yuan/(kWh), it abandons wind and punishes
Penalty factor pq=0.36 yuan/(kWh), and the length L=63.5km of transmission line of electricity, the throwing of transmission line of electricity unit capacity unit length
Ten thousand yuan of I=100/(MW100km) is provided, the investment payback time of transmission line of electricity is 20 years；The O＆M cost α of circuit unit length is
5406 yuan/km, circuit unit length proportion of goods damageds β is 0.05%, and discount rate r is 8%；What wind-powered electricity generation allowed abandons wind rate δNIt is 5%.
It will be seen from figure 1 that with the raising of the confidence level in constraints, selected conductor cross-section is in rising trend,
And social benefit continuously decreases.Illustrate that the transmittability estimation to transmission line is more conservative, wind-powered electricity generation is sent required conducting wire outside and cut
Face is bigger, and cost of investment increases, and social benefit is reduced.
The above are preferred embodiments of the present invention, all any changes made according to the technical solution of the present invention, and generated function is made
When with range without departing from technical solution of the present invention, all belong to the scope of protection of the present invention.
Claims (3)
1. a kind of wind power plant overhead power transmission line Section Optimization based on chance constrained programming, which is characterized in that consider temperature
The randomness of degree and wind speed, is up to target with social benefit desired value, including wind power plant transmission project year submitting wind-powered electricity generation income,
Abandon wind punishment cost, transmission line of electricity cost of investment, multi-line power transmission cost depletions and circuit O＆M cost, the biography based on confidence level
It is defeated to constrain and abandon wind constraint, the Chance-Constrained Programming Model that wind-powered electricity generation sends out conductor cross-section type selecting is established, realizes that wind power plant sends out line
Road section optimal.
2. according to the method described in claim 1, it is characterized in that, this method implements, steps are as follows：
Step S1：The history meteorological data around wind power plant submitting transmission line of electricity is obtained, its distribution is studied by historical data and is advised
Rule；
Step S2：To in history meteorological data environment temperature and wind speed be sampled using Latin Hypercube Sampling method：Root
According to environment temperature taWith the regularity of distribution of wind speed V, environment temperature and wind speed are sampled using Latin Hypercube Sampling method,
Extract N number of sample out, i.e., N number of scene, s-th of scene is expressed as X (s)={ ta(s), V (s) }, s=1,2 ..., N, s-th of scene
Probability be p (s)；
Step S3：Establish the wind power plant overhead power transmission line section optimal object function based on chance constrained programming：Due to environment
Temperature and wind speed have randomness, and the maximum carrying capacity of conducting wire is a stochastic variable, and conducting wire maximum delivery power and society imitate
Benefit is also stochastic variable, considers to send out wind-powered electricity generation income year, abandons wind punishment cost, transmission line of electricity cost of investment, multi-line power transmission loss
Cost and circuit O＆M cost are up to target with social benefit desired value, and function is as follows：
f(Sline, X (s)) and=pwQw-pqQq-Ct-Cploss-Cop
In formula：E [°] is mathematic expectaion；f(Sline, X (s)) and it is social benefit；Sectional area of wire SlineFor the variable of optimization；pwFor
Wind-powered electricity generation rate for incorporation into the power network；pqTo abandon wind penalty coefficient；QwElectricity is sent outside for year wind-powered electricity generation；QqTo abandon wind-powered electricity generation amount year；QzIt is always sent out for wind-powered electricity generation year
Electricity；CtFor the years value such as transmission line of electricity investment；CplossCircuit year transmission losses cost is sent outside for wind power plant；CopIt is sent outside for wind power plant
Circuit year O＆M cost；
Step S4：Establish the wind power plant overhead power transmission line section optimal constraints based on chance constrained programming：
1) output of wind electric field constrains
0≤Pw,t≤Pw_max
Pc,t+Pq1,t=Pw,t
2) sectional area of wire constrains
Sline_min≤Sline≤Sline_max
3) wind power plant sends line transmission power constraint outside
Pr{Pl,t≥Pc,t}≥α
4) wind-powered electricity generation abandons the constraint of wind rate
Pr{δwloss≤δN}≥β
In formula：Pw_maxFor the output of wind electric field upper limit；Pw,t、Pc,t、Pq1,tFor t moment output of wind electric field, wind power plant send outside output and
Wind-powered electricity generation abandons wind power；Sline_minAnd Sline_maxThe respectively lower and upper limit of sectional area of wire；Pr{ ° } is that event is set up in { ° }
Probability；α, β are the confidence level of previously given constraints；Pl,tFor t moment circuit maximum transmission power；Pw,tFor t when
Carve wind power output；δwlossWind rate is abandoned for wind-powered electricity generation；δNWind rate is abandoned for what wind-powered electricity generation allowed；
Step S5：Model is solved using particle swarm optimization algorithm, obtains wind power plant overhead power transmission line Optimum cross section product.
3. according to the method described in claim 2, it is characterized in that, the specific implementation of the step S3 steps are as follows：
Step S31：According to environment temperature, the current-carrying capacity of conducting wire is calculated with Morgan equation, according to the current-carrying capacity of conducting wire come really
Determine the maximum delivery power of conducting wire；When conducting wire allows temperature to rise identical, under certain conductor cross-section, different environment temperature and not
The corresponding maximum carrying capacity of same wind speed is different, and the transportable capacity of conducting wire is different；Conducting wire maximum delivery power and maximum current-carrying
The relationship of amount is as follows：
In formula：ItFor the corresponding conducting wire maximum carrying capacity of t period environment temperatures；Pl,tFor t moment circuit maximum transmission power；U is
Line voltage distribution grade；For the power factor of line transmission power；
Step S32：It is worth the cost of investment that method calculates wind power plant overhead power transmission line according to years such as expenses：
The years value calculation formula such as transmission line of electricity investment is as follows：
In formula：Y is the investment of transmission line of electricity per area per length；SlineFor sectional area of wire；L is the length of transmission pressure；
ntFor transmission line of electricity static investment return period；R is discount rate；
Step S33：The transmission losses cost calculation of wind power plant overhead power transmission line year：
Cploss=p × Qploss
Qploss=Qw×β×L
In formula：P is average electricity price；QplossFor year line loss electricity；β is the circuit unit length proportion of goods damageds；
Step S34：The calculation formula of year circuit O＆M cost is as follows：
Cop=α × L
In formula：α is the O＆M cost of 1 year circuit unit length.
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| CN109888770A (en) * | 2019-01-24 | 2019-06-14 | 福州大学 | Wind energy turbine set installed capacity optimization method based on chance constrained programming and fluctuation cost |
| CN111079982A (en) * | 2019-11-25 | 2020-04-28 | 上海电气风电集团股份有限公司 | Planning method, system, medium and electronic device for cable path of wind power plant |
| CN111079982B (en) * | 2019-11-25 | 2023-06-09 | 上海电气风电集团股份有限公司 | Planning method, system, medium and electronic equipment for cable path of wind power plant |
| CN116384049A (en) * | 2023-02-07 | 2023-07-04 | 国网甘肃省电力公司经济技术研究院 | Wind-solar power generation centralized outgoing channel capacity opportunity constraint optimization method |
| CN116384049B (en) * | 2023-02-07 | 2023-09-19 | 国网甘肃省电力公司经济技术研究院 | Wind-solar power generation centralized outgoing channel capacity opportunity constraint optimization method |
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