CN109842114A - Power distribution network based on alternating current-direct current mixing exchanges power flexibility range method for solving with major network - Google Patents
Power distribution network based on alternating current-direct current mixing exchanges power flexibility range method for solving with major network Download PDFInfo
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Abstract
The invention discloses the power distribution networks mixed based on alternating current-direct current to exchange power flexibility range method for solving with major network.Step: the objective function that alternating current-direct current mixing power distribution network exchanges power with major network is established；Determine the constraint condition of alternating current-direct current mixing power distribution network operation, building alternating current-direct current mixing power distribution network exchanges power solving model with major network；Intermediate variable is introduced, power solving model is exchanged with major network to alternating current-direct current mixing power distribution network and carries out second order cone relaxation, is translated into MIXED INTEGER Second-order cone programming model；Distribution network operating parameters are obtained, objective function is solved, alternating current-direct current mixing power distribution network is obtained and exchanges power flexibility range with major network.The present invention finds out the power distribution network that alternating current-direct current mixes under different operating statuses and exchanges power flexibility range with major network, can provide reference for the traffic control personnel of major network and power distribution network from flexibility angle.
Description
Technical field
The invention belongs to electric power system power distribution field, in particular to the power distribution network based on alternating current-direct current mixing is exchanged with major network
Power flexibility range method for solving.
Background technique
The extensive access of distributed generation resource will be faced in power distribution network, intermittent and random nature increases network fortune
Capable uncertainty produces larger impact to its equilibrium of supply and demand mechanism, and possessing sufficient flexibility is to guarantee power distribution network safety
The basic demand of reliability service.The function of power distribution network is to flank from major network by electric energy, and distributed the power to by distribution facility
Each user, maintaining the equilibrium of supply and demand is the core of power distribution network operation.Power distribution network and major network exchange power research in terms of, it is current main
It to realize power supply cost minimum from the aspect of economy and reliability and guarantee the reliability of power supply, and from the angle of flexibility
Degree considers less, it is necessary to solve and exchange power flexibility range, the operation between distribution and major network between power distribution network and major network
Scheduling provides reference.
The power supply capacity of DC distribution net is big, controllability is strong, power supply reliability is high, can be with loop-net operation, and the method for operation is more
Add flexibly, and flexible power control can be carried out, is conducive to the access of distributed generation resource, is built on the basis of AC distribution net
Alternating current-direct current mixing power distribution network is the developing direction of the following power distribution network.Therefore, compare alternating current-direct current power distribution network, AC distribution net and major network
Between exchange power flexibility range, can solve alternating current-direct current mixing power distribution network compared to conventional AC power distribution network in operational flexibility side
The advantage in face.
Summary of the invention
In order to solve the technical issues of above-mentioned background technique proposes, the present invention provide power distribution network mix based on alternating current-direct current and
Major network exchanges power flexibility range method for solving, realizes the flexibility assessment of alternating current-direct current mixing power distribution network.
In order to achieve the above technical purposes, the technical solution of the present invention is as follows:
Power distribution network based on alternating current-direct current mixing exchanges power flexibility range method for solving with major network, comprising the following steps:
(1) objective function that alternating current-direct current mixing power distribution network exchanges power with major network is established；
(2) constraint condition of alternating current-direct current mixing power distribution network operation is determined, building alternating current-direct current mixing power distribution network is exchanged with major network
Power solving model；
(3) intermediate variable is introduced, power solving model is exchanged with major network to alternating current-direct current mixing power distribution network and carries out second order cone pine
It relaxes, is translated into MIXED INTEGER Second-order cone programming model；
(4) distribution network operating parameters are obtained, objective function is solved, alternating current-direct current mixing power distribution network is obtained with major network and exchanges power
Flexibility range.
Further, in step (1), the objective function is as follows:
In above formula, subscript i indicates that i-th of node, ij indicate that two end nodes are respectively the route of i, j, ΩSubIndicate power transformation
The set of tiny node, ΩLIndicate the set of route, Psub,iIndicate the active power of substation's injection node i, rij、IijTable respectively
The resistance and electric current of timberline road ij, φ1、φ2Indicate weight coefficient.
Further, in step (2), the constraint condition includes the trend constraint of AC distribution net:
In above formula,Indicate the set of exchange node,Indicate the set of alternating current circuit, f (i) expression is with node i
The set of the headend node of the route of end, b (i) are indicated and using node is as the set of the endpoint node of the route of head end, Pik、
QikRespectively indicate the active and reactive power that route ik flows to node k at node i end from node i, PIn,i、QIn,iRespectively indicate section
The injection active and reactive power of point i, PDG,i、PSub,iThe active power of distributed generation resource, transformer injection node i is respectively indicated,
QDG,i、QSub,iRespectively indicate the reactive power of distributed generation resource, transformer injection node i, PL,i、QL,iRespectively indicate node i
Active and reactive load power, rijAnd xijRespectively indicate resistance and the reactance of route ij, ViIndicate the voltage of node i, IijIt indicates
The electric current of route ij, yijIt indicates the operating status of route ij, is 0-1 variable, y=1 when route is run, y=0, M when circuit disconnects
Indicate 0.5 times of positive number for being not less than route relevant voltage grade square.
Further, in step (2), the constraint condition is constrained comprising radial operation:
In above formula,Indicate the quantity of alternating current circuit,Indicate the quantity of power transformation tiny node,Indicate exchange section
The quantity of point,/ΩSubIndicate the set of AC load node,Indicate the virtual power of substation i,Indicate negative
The virtual power of lotus node i,Indicate the virtual power of route ij.
Further, in step (2), the constraint condition is constrained comprising distributed generation resource:
In above formula, ΩDGIndicate the set of distributed electrical source node, PDG,i、QDG,iRespectively indicate the distributed generation resource of node i
Active and reactive power,Indicate the peak power output of distributed generation resource,Indicate distributed generation resource minimum power because
Element, αiIt is horizontal to indicate that the distributed generation resource of node i is contributed.
Further, in step (2), the constraint condition is constrained comprising bound:
In above formula, ΩN、ΩLThe set of node, route is respectively indicated,Respectively indicate the minimum value of node i voltage
And maximum value,Indicate route ij allow by electric current maximum value.
Further, in step (2), the constraint condition includes the trend constraint of DC distribution net:
In above formula,Indicate the set of DC node,Indicate the set of DC line.
Further, in step (2), the constraint condition is constrained comprising voltage source converter:
In above formula, ΩVSCIndicate the set of voltage source converter node,Indicate that head end is exchange node, end segment
Point is the set of the route of DC node,Indicate the alternating voltage of node i,Indicate that node i passes through voltage source converter
DC voltage after device conversion,Indicate the active power that route ij is crossed in exchange effluent,Indicate route ij in DC side
The active power flowed through, λ indicate that the voltage modulated coefficient of voltage source converter, K indicate the voltage modulated ratio of voltage source converter,
η indicates the power-conversion efficiencies of voltage source converter, PVSC,i、QVSC,i、SVSC,iRespectively indicate the voltage source converter stream of node i
The active and reactive and apparent energy crossed,Indicate voltage source converter capacity,Indicate voltage source converter power factor (PF)
Minimum value.
Further, detailed process is as follows for step (3):
(301) new variable is defined:
In above formula,Indicate square of node i voltage,Indicate square of route ij electric current；
New variable is substituted into the constraint condition that step (2) determine；
(302) it relaxes to formula (6), formula (18), formula (21), and is rewritten as the form of second order cone:
Formula (25), formula (27), formula (29) are followed successively by the relaxation form of formula (6), formula (18), formula (21), formula (26), formula
(28), formula (30) is followed successively by corresponding second order tapered；
(303) intermediate variable ζ is introduced+And ζ-:
Wherein, ζ+Indicate the sum of line current and route head end voltage, ζ-Indicate line current and route head end voltage it
Difference；
Obtain the voltage and current second order cone constraint of route:
Further, it in step (4), is programmed on MATLAB platform, calls CPLEX using Yalmip kit
Business solver solves the maximum value and minimum value that alternating current-direct current mixing power distribution network exchanges power with major network respectively, obtains exchange power
Flexibility range.
By adopting the above technical scheme bring the utility model has the advantages that
(1) study limitation of power is currently exchanged alternating current-direct current mixing power distribution network with major network in from economy and reliability
Angle is set out, and is lacked to the research in terms of flexibility, and the present invention finds out and hands over directly under different operating statuses from flexibility angle
It flows mixed power distribution network and exchanges power flexibility range with major network, ginseng can be provided for the traffic control personnel of major network and power distribution network
It examines.
(2) present invention uses second order cone relaxation by non-convex non-thread model conversation for MIXED INTEGER second order cone scale model, can
With effectively simplified model, thus efficient rapid solving.
Detailed description of the invention
Fig. 1 is flow chart of the method for the present invention；
Fig. 2 is the schematic diagram that power distribution network provided by the invention exchanges power flexibility range with major network；
Fig. 3 is showing for improved 94 node alternating current-direct current power distribution network example system used by Example Verification provided by the invention
It is intended to.
Specific embodiment
Below with reference to attached drawing, technical solution of the present invention is described in detail.
Power distribution network based on alternating current-direct current mixing exchanges power flexibility range method for solving with major network, as shown in Figure 1, including
Following steps:
Step 1, the objective function that alternating current-direct current mixing power distribution network exchanges power with major network is established；
Step 2, the constraint condition of alternating current-direct current mixing power distribution network operation is determined, building alternating current-direct current mixing power distribution network and major network are handed over
Change power solving model；
Step 3, intermediate variable is introduced, power solving model is exchanged with major network to alternating current-direct current mixing power distribution network and carries out second order cone
Relaxation, is translated into MIXED INTEGER Second-order cone programming model；
Step 4, distribution network operating parameters are obtained, objective function is solved, alternating current-direct current mixing power distribution network is obtained and is exchanged with major network
Power flexibility range.
In the present embodiment, the objective function in step 1 is as follows:
The schematic diagram of power is exchanged with major network for power distribution network as shown in Fig. 2, power distribution network receives electric energy from major network in transformer substation side,
Distribute to subordinate subscriber, the flexibility of the power distribution network method of operation, so that feasible between substation and major network different in power distribution network
Exchange power in a certain range.The flexible range of power is exchanged to find out alternating current-direct current mixing power distribution network between major network, is answered
Solve alternating current-direct current mixing power distribution network and the maximum value and minimum value for exchanging power feasible between major network:
Wherein, subscript i indicates that i-th of node, ij indicate that two end nodes are respectively the route of i and j, ΩSubIndicate substation
The set of node, ΩLIndicate the set of route, Psub,iIndicate the active power of substation's injection node i, rij、IijIt respectively indicates
The resistance and electric current of route ij, φ1、φ2It indicates weight coefficient, it need to be carried out the essence to guarantee second order cone relaxation is rationally arranged
True property.
In the present embodiment, the constraint condition in step 2 include AC distribution net trend constraint (node power balance about
Beam, line drop constraint, line power constraint):
Wherein,Indicate the set of exchange node,Indicate the set of alternating current circuit, f (i) indicates with node i to be end
The set of the headend node of the route at end, b (i) are indicated and using node is as the set of the endpoint node of the route of head end, Pik、Qik
Respectively indicate the active and reactive power that route ik flows to node k at node i end from node i, PIn,i、QIn,iRespectively indicate node i
Injection active and reactive power, PDG,i、PSub,i(QDG,i、QSub,i) respectively indicate distributed generation resource, transformer injection node i
Active (idle) power, PL,i、QL,iRespectively indicate the active and reactive load power of node i, rijAnd xijRespectively indicate route ij
Resistance and reactance, ViIndicate the voltage of node i, IijIndicate the electric current of route ij, yijIt indicates the operating status of route ij, is 0-
1 variable, y=1 when route is run, y=0 when circuit disconnects, M indicate a biggish positive number, not less than route relevant voltage etc.
0.5 times of grade square.
Radial operation constraint:
Wherein,Indicate the quantity of alternating current circuit,Indicate the quantity of power transformation tiny node,Indicate exchange node
Quantity,/ΩSubIndicate the set of AC load node.Indicate the virtual power of substation i,Indicate load
The virtual power of node i,Indicate the virtual power of route ij.
Distributed generation resource (DG) constraint:
Wherein, ΩDGIndicate the set of distributed electrical source node, PDG,i、QDG,iThe DG for respectively indicating node i is active and reactive
Power,Indicate the peak power output of DG,Indicate the minimum power factor of DG, αiIndicate the DG power output water of node i
It is flat.
Bound constraint:
Wherein, ΩN、ΩLThe set of node, route is respectively indicated,Respectively indicate node i voltage minimum value and
Maximum value,Indicate route ij allow by electric current maximum value.
The trend constraint (node power Constraints of Equilibrium, line drop constraint, line power constraint) of DC distribution net:
Wherein,Indicate the set of DC node,Indicate the set of DC line.
Voltage source converter (VSC) constraint:
Wherein, ΩVSCIndicate the set of voltage source converter node,Indicate that head end is exchange node, endpoint node
For the set of the route of DC node,Indicate the alternating voltage of node i,Indicate that node i is straight after VSC is converted
Galvanic electricity pressure,Indicate the active power that route ij is crossed in exchange effluent,Indicate the wattful power that route ij is flowed through in DC side
Rate, λ indicate that the voltage modulated coefficient of VSC, K indicate that the voltage modulated ratio of VSC, η indicate the power-conversion efficiencies of VSC, PVSC,i、
QVSC,i、SVSC,iThe active and reactive and apparent energy that the VSC of node i flows through is respectively indicated,Indicate VSC capacity,Table
Show the minimum value of VSC power factor (PF).
It is emphasized that foregoing relate to objective function and constraint condition be a preferred embodiment of the present invention.?
In the present invention, the selection of objective function and constraint condition is not limited to above-mentioned form.
In the present embodiment, use second order cone relaxing techniques to nonlinearized constraint condition non-convex in model in step 3
It relaxes, is MIXED INTEGER Second-order cone programming model by model conversation, specific steps include:
Step 3.1: it is as follows to define new variable:
Wherein,Indicate square of node i voltage,Indicate square of route ij electric current.
Variable corresponding in original constraint condition is revised as new variable.
Step 3.2: it relaxes to formula (6), formula (18), formula (21), and is rewritten as the form of second order cone:
Step 3.3: introducing intermediate variable ζ+And ζ-:
Wherein, ζ+Indicate the sum of line current and route head end voltage, ζ-Indicate line current and route head end voltage it
Difference.Obtain the voltage and current second order cone constraint of route:
In the present embodiment, the detailed process of step 4 is as follows: the operating parameter of alternating current-direct current mixing power distribution network is obtained,
It is programmed on MATLAB platform, calls CPLEX business solver to solve alternating current-direct current power distribution network and master respectively using Yalmip kit
The maximum value and minimum value of net exchange power, obtain exchange power flexibility range.
The present embodiment carries out emulation solution in improved 94 node alternating current-direct current mixing power distribution network example, and former AC distribution net is calculated
The relevant parameter of example can refer to IEEE Transactions on Power Delivery periodical in the 3rd phase of volume 18 in 2003
The Network reconfiguration of distribution systems using delivered of page 1022 to 1027
Data disclosed in improved mixed-integer hybrid differential evolution document join part
It is as shown in Figure 3 that winding thread is adjusted to the alternating current-direct current mixing power distribution network after DC line.
It include Liang Zuo substation in embodiment, substation 1 includes main transformer T1 and T2, and substation 2 includes main transformer
T3 and T4 includes 94 nodes, and 6 interconnections (are changed to DC contact in alternating current-direct current example by 83 branches and 11 interconnections
Line), have block switch route be " 5-6 ", " 11-12 ", " 19-20 ", " 26-27 ", " 33-34 ", " 37-38 ", " 38-39 ",
"51-52","68-69","74-75","78-79".Alternating voltage grade is 11.4kV, and the current maxima of alternating current circuit takes
The current maxima of 500A, DC voltage level 18.6kV, DC line take 300A.
Power flexibility range solution side is exchanged with major network based on the power distribution network proposed by the present invention based on alternating current-direct current mixing
Method considers the different operating statuses of embodiment, solves to it.Consider that DG power output is horizontal different, the alternating current-direct current mixing acquired
Power distribution network and AC distribution Wang Zhong substation 1 and major network to exchange power flexibility range comparing result as shown in table 1.VSC holds
When measuring different, in the alternating current-direct current mixing power distribution network that acquires substation 1 and major network to exchange power flexibility range as shown in table 2.
Table 1
Table 2
| VSC capacity/kVA | Pmin(kW) | Pmax(kW) |
| 1000 | 13591 | 19728 |
| 2000 | 10706 | 22940 |
| 3000 | 7936 | 25297 |
As shown in Table 1, alternating current-direct current mixing power distribution network is all larger than AC distribution net with the power flexibility range that exchanges of major network,
When DG access capacity is lower, advantage is become apparent from.As shown in Table 2, with the increase of VSC capacity, PminValue reduces, PmaxValue increases
Greatly, exchange power flexibility range is gradually increased.The result verification accuracy and practicability of mentioned method of the invention.
Embodiment is merely illustrative of the invention's technical idea, and this does not limit the scope of protection of the present invention, it is all according to
Technical idea proposed by the present invention, any changes made on the basis of the technical scheme are fallen within the scope of the present invention.
Claims (10)
1. the power distribution network based on alternating current-direct current mixing exchanges power flexibility range method for solving with major network, which is characterized in that including
Following steps:
(1) objective function that alternating current-direct current mixing power distribution network exchanges power with major network is established；
(2) it determines the constraint condition of alternating current-direct current mixing power distribution network operation, constructs alternating current-direct current mixing power distribution network with major network and exchange power
Solving model；
(3) intermediate variable is introduced, power solving model is exchanged with major network to alternating current-direct current mixing power distribution network and carries out second order cone relaxation, it will
It is converted into MIXED INTEGER Second-order cone programming model；
(4) distribution network operating parameters are obtained, objective function is solved, obtaining alternating current-direct current mixing power distribution network, with major network to exchange power flexible
Property range.
2. the power distribution network according to claim 1 based on alternating current-direct current mixing exchanges power flexibility range solution side with major network
Method, which is characterized in that in step (1), the objective function is as follows:
In above formula, subscript i indicates that i-th of node, ij indicate that two end nodes are respectively the route of i, j, ΩSubIndicate substation's section
The set of point, ΩLIndicate the set of route, Psub,iIndicate the active power of substation's injection node i, rij、IijRespectively indicate line
The resistance and electric current of road ij, φ1、φ2Indicate weight coefficient.
3. the power distribution network according to claim 2 based on alternating current-direct current mixing exchanges power flexibility range solution side with major network
Method, which is characterized in that in step (2), the constraint condition includes the trend constraint of AC distribution net:
In above formula,Indicate the set of exchange node,Indicate the set of alternating current circuit, f (i) is indicated using node i as end
Route headend node set, b (i) indicate with using node i as the set of the endpoint node of the route of head end, Pik、QikPoint
Not Biao Shi route ik the active and reactive power of node k, P are flowed to from node i at node i endIn,i、QIn,iRespectively indicate node i
Inject active and reactive power, PDG,i、PSub,iRespectively indicate the active power of distributed generation resource, transformer injection node i, QDG,i、
QSub,iRespectively indicate the reactive power of distributed generation resource, transformer injection node i, PL,i、QL,iRespectively indicate node i it is active,
Load or burden without work power, rijAnd xijRespectively indicate resistance and the reactance of route ij, ViIndicate the voltage of node i, IijIndicate route ij
Electric current, yijIt indicates the operating status of route ij, is 0-1 variable, y=1 when route is run, y=0 when circuit disconnects, M indicate one
A 0.5 times of positive number not less than route relevant voltage grade square.
4. the power distribution network according to claim 3 based on alternating current-direct current mixing exchanges power flexibility range solution side with major network
Method, which is characterized in that in step (2), the constraint condition is constrained comprising radial operation:
In above formula,Indicate the quantity of alternating current circuit,Indicate the quantity of power transformation tiny node,Indicate exchange node
Quantity,Indicate the set of AC load node,Indicate the virtual power of substation i,Indicate load section
The virtual power of point i,Indicate the virtual power of route ij.
5. the power distribution network according to claim 3 based on alternating current-direct current mixing exchanges power flexibility range solution side with major network
Method, which is characterized in that in step (2), the constraint condition is constrained comprising distributed generation resource:
In above formula, ΩDGIndicate the set of distributed electrical source node, PDG,i、QDG,iThe distributed generation resource for respectively indicating node i is active,
Reactive power,Indicate the peak power output of distributed generation resource,F DGIndicate the minimum power factor of distributed generation resource, αiTable
Show that the distributed generation resource power output of node i is horizontal.
6. the power distribution network according to claim 3 based on alternating current-direct current mixing exchanges power flexibility range solution side with major network
Method, which is characterized in that in step (2), the constraint condition is constrained comprising bound:
In above formula, ΩN、ΩLThe set of node, route is respectively indicated,V i、Respectively indicate the minimum value and maximum of node i voltage
Value,Indicate route ij allow by electric current maximum value.
7. the power distribution network according to claim 3 based on alternating current-direct current mixing exchanges power flexibility range solution side with major network
Method, which is characterized in that in step (2), the constraint condition includes the trend constraint of DC distribution net:
In above formula,Indicate the set of DC node,Indicate the set of DC line.
8. the power distribution network according to claim 7 based on alternating current-direct current mixing exchanges power flexibility range solution side with major network
Method, which is characterized in that in step (2), the constraint condition is constrained comprising voltage source converter:
In above formula, ΩVSCIndicate the set of voltage source converter node,Indicate that head end is exchange node, endpoint node is
The set of the route of DC node,Indicate the alternating voltage of node i,Indicate that node i turns by voltage source converter
DC voltage after changing,Indicate the active power that route ij is crossed in exchange effluent,Indicate that route ij is flowed through in DC side
Active power, λ indicate voltage source converter voltage modulated coefficient, K indicate voltage source converter voltage modulated ratio, η table
Show the power-conversion efficiencies of voltage source converter, PVSC,i、QVSC,i、SVSC,iRespectively indicate what the voltage source converter of node i flowed through
Active and reactive and apparent energy,Indicate voltage source converter capacity,F VSCIndicate voltage source converter power factor (PF) most
Small value.
9. the power distribution network according to claim 8 based on alternating current-direct current mixing exchanges power flexibility range solution side with major network
Method, which is characterized in that detailed process is as follows for step (3):
(301) new variable is defined:
In above formula,Indicate square of node i voltage,Indicate square of route ij electric current；
New variable is substituted into the constraint condition that step (2) determine；
(302) it relaxes to formula (6), formula (18), formula (21), and is rewritten as the form of second order cone:
Formula (25), formula (27), formula (29) are followed successively by the relaxation form of formula (6), formula (18), formula (21), formula (26), formula (28), formula
(30) it is followed successively by corresponding second order tapered；
(303) intermediate variable ζ is introduced+And ζ-:
Wherein, ζ+Indicate the sum of line current and route head end voltage, ζ-Indicate the difference of line current and route head end voltage；
Obtain the voltage and current second order cone constraint of route:
10. it is flexible with major network to exchange power for the power distribution network based on alternating current-direct current mixing described in any one of -9 according to claim 1
Property range method for solving, which is characterized in that in step (4), be programmed on MATLAB platform, utilize Yalmip kit
It calls CPLEX business solver to solve maximum value and minimum value that alternating current-direct current mixing power distribution network exchanges power with major network respectively, obtains
To exchange power flexibility range.
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| CN106655177A (en) * | 2017-01-18 | 2017-05-10 | 中国南方电网有限责任公司电网技术研究中心 | Method for computing maximum access capacity of distributed power sources on basis of expansion second-order cone programming |
| CN108494015A (en) * | 2018-02-09 | 2018-09-04 | 中国科学院电工研究所 | The integrated energy system design method of one introduces a collection-lotus-storage coordination and interaction |
| CN108649580A (en) * | 2018-05-21 | 2018-10-12 | 武汉大学 | A kind of AC/DC mixed power system Security corrective method based on second order cone |
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| CN106655177A (en) * | 2017-01-18 | 2017-05-10 | 中国南方电网有限责任公司电网技术研究中心 | Method for computing maximum access capacity of distributed power sources on basis of expansion second-order cone programming |
| CN108494015A (en) * | 2018-02-09 | 2018-09-04 | 中国科学院电工研究所 | The integrated energy system design method of one introduces a collection-lotus-storage coordination and interaction |
| CN108649580A (en) * | 2018-05-21 | 2018-10-12 | 武汉大学 | A kind of AC/DC mixed power system Security corrective method based on second order cone |
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