CN109728603A - Active power distribution network distributed electrical source partition voltage control strategy setting method on the spot - Google Patents
Active power distribution network distributed electrical source partition voltage control strategy setting method on the spot Download PDFInfo
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Abstract
A kind of active power distribution network distributed electrical source partition voltage control strategy setting method on the spot: system structure and parameter are determined according to selected active power distribution network；The electrical distance matrix that electrical distance is constituted between calculating each node of active power distribution network；By judging that the size of the characteristic value of electrical distance matrix obtains the optimally partitioned number of active power distribution network；K-means clustering algorithm is used to carry out cluster subregion to electrical distance matrix to obtain distribution network division result；According to active power distribution network structure and parameter, it is based on division result, establishes active power distribution network distributed electrical source partition voltage control strategy adjusting model on the spot；By active power distribution network distributed electrical source partition, voltage control strategy adjusting model conversation is second order Based On The Conic Model on the spot；Calculating solution is carried out to the second order Based On The Conic Model of active power distribution network distributed electrical source partition voltage control strategy on the spot using the mathematics solver for solving Second-order cone programming；Export solving result.This invention simplifies the formulations and optimization of distributed generation resource voltage control strategy on the spot.
Description
Technical field
The present invention relates to a kind of distributed generation resource voltage control strategy setting methods on the spot.Match more particularly to one kind is active
Power grid distributed electrical source partition voltage control strategy setting method on the spot.
Background technique
With distributed generation resource largely access the intermittent distributed generation resource such as power distribution network, especially photovoltaic access no matter
Time still spatially all has very strong uncertainty, and the big amplitude wave of feeder line power is often led in power distribution network operational process
The problems such as unbalanced power, voltage out-of-limit between dynamic, feeder line.Currently, the distributed generation resource in active power distribution network mainly uses
Centerized fusion controls both of which on the spot to realize.Centerized fusion strategy is based on global information and carries out global optimization, but
As distributed electrical source category is more and more, quantity is more and more huger, substantially increases communications burden and data processing pressure,
Once central controller breaks down, a large amount of schedulable resource in coordination system will be unable to.In addition, for privacy and safety
Etc. the considerations of, that centerized fusion is difficult to is accurate, easily obtains global information.And control strategy only relies on local survey on the spot
Information is measured, though cannot achieve global optimum, information interchange or long-range measurement between node is not needed, significantly reduces communication letter
Breath amount；Also, when power fluctuates in system, control strategy can be responded rapidly on the spot, quickly stabilize fluctuation.
Distributed generation resource on the spot according to the idle control strategy of the distributed generation resource adjusted out and active cut by voltage control strategy
Subtract strategy to realize that the operation to active distribution system controls, improves voltage level, improve the economy of system operation.If distribution
Formula power loss reactive power still cannot be effectively by node voltage control in ideal interval, it is further contemplated that using active
It cuts down strategy and solves the problems, such as this, so that system voltage be made to maintain safe operation level.Due to photovoltaic, blower distributed
Plant-grid connection quantity is often larger, and heavy calculating can be brought by individually formulating control strategy on the spot for each distributed generation resource
Burden.In view of geographical environment is similar and physical condition is close, power distribution network is divided into different subregions, is connect in same subregion
Same type distributed generation resource uses identical voltage control strategy.Therefore, it is badly in need of a kind of active power distribution network distributed electrical source partition
Voltage control strategy setting method on the spot, to solve the control problem on the spot of large-scale distributed power supply.
Summary of the invention
The technical problem to be solved by the invention is to provide one kind, and the distributed generation resource in the same area can be made to have phase
With control strategy on the spot active power distribution network distributed electrical source partition voltage control strategy setting method on the spot.
The technical scheme adopted by the invention is that: a kind of active power distribution network distributed electrical source partition voltage control strategy on the spot
Setting method includes the following steps:
1) according to selected active power distribution network, input system structure and parameter, comprising: line parameter circuit value, load level, network
The day operation of topological connection relation, on-position, type, capacity and the parameter of distributed generation resource, distributed generation resource and load is bent
Line, the constraint of system working voltage and branch current limitation, the initial value of system reference voltage and reference power；
2) the electrical distance matrix that electrical distance is constituted between calculating each node of active power distribution network；
3) by judging that the size of the characteristic value of electrical distance matrix obtains the optimally partitioned number of active power distribution network；
4) K-means clustering algorithm is used to carry out cluster subregion to electrical distance matrix to obtain distribution network subregion knot
Fruit；
5) active power distribution network point is established based on the division result that step 4) obtains according to active power distribution network structure and parameter
Voltage control strategy adjusts model to cloth power supply subregion on the spot, comprising: selection root node is balance nodes, sets active power distribution system
The sum of system voltage deviation, system loss and the minimum objective function of active reduction consider system load flow constraint, system peace respectively
Row constraint for the national games and distributed generation resource operation constraint；
6) objective function in the adjusting model is linearized, system load flow constraint and distributed generation resource is run
Constraint is linearized or is bored conversion, and by active power distribution network distributed electrical source partition, voltage control strategy adjusts model conversation on the spot
For second order Based On The Conic Model；
7) using the mathematics solver of solution Second-order cone programming to the voltage control on the spot of active power distribution network distributed electrical source partition
The second order Based On The Conic Model of system strategy carries out calculating solution；
8) step 7) solving result, including partitioning scenario, each subregion distributed generation resource voltage control strategy on the spot are exported, with
And node voltage distribution, the via net loss of active power distribution network, distributed generation resource reactive compensation and active reduction situation.
Electrical distance is obtained using following formula between each node described in step 2):
In formula,It is sensitivity of the voltage magnitude of node i to active power is injected at node j；It is node j
Sensitivity of the voltage magnitude to active power is injected at node i；WithIt is node i and node j voltage magnitude respectively to certainly
The sensitivity of active power is injected at body node；It is the node i being calculated based on active power-voltage sensibility and section
Electrical distance between point j；It is sensitivity of the voltage magnitude of node i to reactive power is injected at node j；It is node j
Voltage magnitude at node i inject reactive power sensitivity；WithIt is the voltage magnitude of node i and node j respectively
Sensitivity to reactive power is injected at own node；It is the node i being calculated based on reactive power-voltage sensibility
Electrical distance between node j；β is the electrical distance between the node i that active power-voltage sensibility is calculated and node j
Weight coefficient；eI, jIt is the electrical distance between final active power distribution network node i and node j, and constitutes in electrical distance matrix
Element.
Step 3) includes:
(3.1) initial optimally partitioned several N are seta=1；
(3.2) electrical distance matrix exgenvalue is calculated, and introduces auxiliary variable gi=λi/λ1(i=2,3 ..., n-1), λi
It is the corresponding characteristic value of i-th of node of electrical distance matrix, λ1It is the 1st corresponding feature of node of electrical distance matrix
Value, n are active power distribution network interior joint sums；
(3.3) auxiliary variable g is usediThe coupled relation between node i and adjacent node is judged, if gi>=0.1, corresponding node
Between coupled relation it is weak, then enable Na=Na+ 1, otherwise, into next step；
(3.4) (3.3) step is repeated, until completing the judgement to coupled relation between n-1 node and adjacent node；
(3.5) finally obtained NaFor the optimally partitioned number of active power distribution network.
Step 4) includes:
(4.1) N is determined in original active power distribution networkaA initial cluster center point；
(4.2) judge cluster centre point whether with the electrical distance matrix exgenvalue of corresponding electrical distance matrix interior joint
It is identical, if it is different, then modifying to k-means clustering algorithm, make to save in cluster centre point and corresponding electrical distance matrix
The electrical distance matrix exgenvalue of point is identical, otherwise, into next step；
(4.3) cluster subregion is carried out to electrical distance matrix using modified k-means clustering algorithm；
(4.4) step (4.2)~(4.3) are repeated, until obtaining NaIn a region each region node.
The sum of active power distribution system voltage deviation of setting described in step 5), system loss and the minimum mesh of active reduction
Scalar functions minf is expressed as
Min f=α fU+μfL+γfP
In formula, α, μ and γ are respectively active power distribution network voltage deviation fU, system loss fL and active reduction situation fPPower
Weight coefficient；NTAnd NNDiscontinuity surface number and system node sum when respectively；ΩbFor system branch set；uT, iFor t period node i
Voltage magnitude square；rijFor the resistance of branch ij, lT, ijSquare of the current amplitude of node j is flowed to for t period node i；For the active reduction of distributed generation resource of t period node i；For uT, iExpectation interval limit,For uT, i's
It is expected that the section upper limit,Point is adjusted for the tactful voltage of the active reduction of the distributed generation resource in node i,ForExpectation area
Between lower limit.
Distributed generation resource described in step 5) runs constraint representation
In formula,For the available reactive power maximum value of distributed generation resource in t period node i；For node i
Distributed generation resource capacity；The active power injected for distributed generation resource in t period node i；For in t period node i
The reactive power of distributed generation resource injection；For the active reduction of distributed generation resource in t period node i；For t
The active power predicted value of distributed generation resource in period node i；ΩkFor the node set in subregion k；NaFor active power distribution network
Optimally partitioned number；gk(UT, i) be subregion k in the idle control strategy of distributed generation resource expression formula；hk(UT, i) it is dividing in subregion k
The active expression formula for cutting down strategy of cloth power supply；UT, iFor the voltage magnitude of t period node i.
Nonlinear restriction is linearized or bored conversion described in step 6), is to system load flow constraint and distributed electrical
The constraint containing power square carries out cone conversion in the operation constraint of source, and corestriction is linearized.
Active power distribution network distributed electrical source partition of the invention voltage control strategy setting method on the spot, according in power distribution network
Electrical distance carry out network partition, formulate the voltage control strategy on the spot of the distributed generation resource towards subregion according to division result,
Make the control strategy on the spot having the same of the distributed generation resource in the same area, geographical environment is close, and physical condition is similar
Network node is divided in the same area, is able to solve the problem of tuning of distributed generation resource voltage control strategy on the spot, fully considers
It is electric on the spot to establish active power distribution network distributed generation resource based on power distribution network subregion for the randomness and fluctuation of distributed generation resource and load
Controlling curve parameter tuning model is pressed, the distributed generation resource of each subregion voltage control strategy on the spot is obtained.It is distributed to simplify
The formulation and optimization of power supply voltage control strategy on the spot.
Detailed description of the invention
Fig. 1 is improved 69 node example structure of PG&E and division result figure；
Fig. 2 is active power distribution network distributed electrical source partition of the present invention voltage control strategy setting method flow chart on the spot；
Fig. 3 is distributed generation resource and load operation Predicting Performance Characteristics curve；
Fig. 4 a is distributed generation resource voltage control strategy on the spot in subregion 1 under scheme II；
Fig. 4 b is distributed generation resource voltage control strategy on the spot in subregion 2 under scheme II；
Fig. 4 c is distributed generation resource voltage control strategy on the spot in subregion 3 under scheme II；
Fig. 4 d is distributed generation resource voltage control strategy on the spot in subregion 4 under scheme II；
Fig. 5 a is the blower reactive compensation situation at scheme II and scheme III lower node 10；
Fig. 5 b is the photovoltaic reactive compensation situation at scheme II and scheme III lower node 15；
Fig. 5 c is the photovoltaic reactive compensation situation at scheme II and scheme III lower node 26；
Fig. 5 d is the blower reactive compensation situation at scheme II and scheme III lower node 35；
Fig. 5 e is the photovoltaic reactive compensation situation at scheme II and scheme III lower node 46；
Fig. 5 f is the photovoltaic reactive compensation situation at scheme II and scheme III lower node 54；
Fig. 6 a is the active reduction situation of blower at scheme II and scheme III lower node 10；
Fig. 6 b is the active reduction situation of photovoltaic at scheme II and scheme III lower node 15；
Fig. 6 c is the active reduction situation of photovoltaic at scheme II and scheme III lower node 26；
Fig. 6 d is the active reduction situation of blower at scheme II and scheme III lower node 35；
Fig. 6 e is the active reduction situation of photovoltaic at scheme II and scheme III lower node 46；
Fig. 6 f is the active reduction situation of photovoltaic at scheme II and scheme III lower node 54；
Fig. 7 a is the voltage's distribiuting situation at three kinds of scheme lower nodes 10；
Fig. 7 b is the voltage's distribiuting situation at three kinds of scheme lower nodes 15；
Fig. 7 c is the voltage's distribiuting situation at three kinds of scheme lower nodes 26；
Fig. 7 d is the voltage's distribiuting situation at three kinds of scheme lower nodes 35；
Fig. 7 e is the voltage's distribiuting situation at three kinds of scheme lower nodes 46；
Fig. 7 f is the voltage's distribiuting situation at three kinds of scheme lower nodes 54.
Specific embodiment
Below with reference to embodiment and attached drawing, to active power distribution network distributed electrical source partition of the invention, voltage controls plan on the spot
Slightly setting method is described in detail.
As shown in Figure 1, active power distribution network distributed electrical source partition of the invention voltage control strategy setting method on the spot, packet
Include following steps:
1) according to selected active power distribution network, input system structure and parameter, comprising: line parameter circuit value, load level, network
The day operation of topological connection relation, on-position, type, capacity and the parameter of distributed generation resource, distributed generation resource and load is bent
Line, the constraint of system working voltage and branch current limitation, the initial value of system reference voltage and reference power；
2) the electrical distance matrix that electrical distance is constituted between calculating each node of active power distribution network；
Electrical distance is obtained using following formula between each node:
In formula,It is sensitivity of the voltage magnitude of node i to active power is injected at node j；It is node j
Sensitivity of the voltage magnitude to active power is injected at node i；WithIt is node i and node j voltage magnitude respectively to certainly
The sensitivity of active power is injected at body node；It is the node i being calculated based on active power-voltage sensibility and section
Electrical distance between point j；It is sensitivity of the voltage magnitude of node i to reactive power is injected at node j；It is node j
Voltage magnitude at node i inject reactive power sensitivity；WithIt is the voltage magnitude of node i and node j respectively
Sensitivity to reactive power is injected at own node；It is the node i being calculated based on reactive power-voltage sensibility
Electrical distance between node j；β is the electrical distance between the node i that active power-voltage sensibility is calculated and node j
Weight coefficient；eI, jIt is the electrical distance between final active power distribution network node i and node j, and constitutes in electrical distance matrix
Element.
3) by judging that the size of the characteristic value of electrical distance matrix obtains the optimally partitioned number of active power distribution network；Include:
(3.1) initial optimally partitioned several N are seta=1；
(3.2) electrical distance matrix exgenvalue is calculated, and introduces auxiliary variable gi=λi/λ1(i=2,3 ..., n-1), λi
It is the corresponding characteristic value of i-th of node of electrical distance matrix, λ1It is the 1st corresponding feature of node of electrical distance matrix
Value, n are active power distribution network interior joint sums；
(3.3) auxiliary variable g is usediThe coupled relation between node i and adjacent node is judged, if gi>=0.1, corresponding node
Between coupled relation it is weak, then enable Na=Na+ 1, otherwise, into next step；
(3.4) (3.3) step is repeated, until completing the judgement to coupled relation between n-1 node and adjacent node；
(3.5) finally obtained NaFor the optimally partitioned number of active power distribution network.
4) K-means clustering algorithm is used to carry out cluster subregion to electrical distance matrix to obtain distribution network subregion knot
Fruit；Include:
(4.1) N is determined in original active power distribution networkaA initial cluster center point；
(4.2) judge cluster centre point whether with the electrical distance matrix exgenvalue of corresponding electrical distance matrix interior joint
It is identical, if it is different, then modifying to k-means clustering algorithm, make to save in cluster centre point and corresponding electrical distance matrix
The electrical distance matrix exgenvalue of point is identical, otherwise, into next step；
(4.3) cluster subregion is carried out to electrical distance matrix using modified k-means clustering algorithm；
(4.4) step (4.2)~(4.3) are repeated, until obtaining NaIn a region each region node.
5) active power distribution network point is established based on the division result that step 4) obtains according to active power distribution network structure and parameter
Voltage control strategy adjusts model to cloth power supply subregion on the spot, comprising: selection root node is balance nodes, sets active power distribution system
The sum of system voltage deviation, system loss and the minimum objective function of active reduction consider system load flow constraint, system peace respectively
Row constraint for the national games and distributed generation resource operation constraint；Wherein,
(5.1) the sum of active power distribution system voltage deviation of setting described in, system loss and the minimum mesh of active reduction
Scalar functions minf is indicated are as follows:
In formula, α, μ and γ are respectively active power distribution network voltage deviation fU, system loss fLWith active reduction situation fPPower
Weight coefficient；NTAnd NNDiscontinuity surface number and system node sum when respectively；ΩbFor system branch set；uT, iFor t period node i
Voltage magnitude square；rijFor the resistance of branch ij, lT, ijSquare of the current amplitude of node j is flowed to for t period node i；For the active reduction of distributed generation resource of t period node i；For uT, iExpectation interval limit,For uT, i's
It is expected that the section upper limit,Point is adjusted for the tactful voltage of the active reduction of the distributed generation resource in node i,ForExpectation area
Between lower limit.
(5.2) the system load flow constraint representation described in is
In formula, ΩbFor the set of branch；PT, ijThe active power of node j, Q are flowed to for t period node iT, ijFor the t period
Point i flows to the reactive power of node j；PT, jkThe active power of node k, Q are flowed to for t period node jT, jkFor t period node j stream
To the reactive power of node k；rijFor the resistance of branch ij, xijFor the reactance of branch ij；lT, ijNode j is flowed to for t period node i
Current amplitude quadratic form；uT, iFor the quadratic form of the voltage magnitude of t period node i, uT, jFor the electricity of t period node j
The quadratic form of pressure amplitude value；PT, jFor the sum of the active power injected on t period node j,The respectively t period
The active power of distributed generation resource injects on point j active power, load consumption, QT, jIt is idle to be injected on t period node j
The sum of power,The reactive power of distributed generation resource injection, load consume idle on respectively t period node j
Power；
(5.3) the system safety operation constraint representation described in are as follows:
In formulaWithFor system maximum allowable voltage and minimum allowable voltage value；uT, iFor the voltage amplitude of t period node i
The quadratic form of value；lT, ijThe quadratic form of the current amplitude of node j is flowed to for t period node i；For the maximum allowable electricity of branch
Flow valuve.
(5.4) distributed generation resource described in runs constraint representation
In formula,For the available reactive power maximum value of distributed generation resource in t period node i；For node i
Distributed generation resource capacity；The active power injected for distributed generation resource in t period node i；For in t period node i
The reactive power of distributed generation resource injection；For the active reduction of distributed generation resource in t period node i；For t
The active power predicted value of distributed generation resource in period node i；ΩkFor the node set in subregion k；NaFor active power distribution network
Optimally partitioned number；gk(UT, i) be subregion k in the idle control strategy of distributed generation resource expression formula；hk(UT, i) it is dividing in subregion k
The active expression formula for cutting down strategy of cloth power supply；UT, iFor the voltage magnitude of t period node i.
6) objective function in the adjusting model is linearized, system load flow constraint and distributed generation resource is run
Constraint is linearized or is bored conversion, and by active power distribution network distributed electrical source partition, voltage control strategy adjusts model conversation on the spot
For second order Based On The Conic Model；Described is linearized or is bored conversion by nonlinear restriction, is to system load flow constraint and distributed electrical
The constraint containing power square carries out cone conversion in the operation constraint of source, and corestriction is linearized.Wherein:
(6.1) in system load flow constraintConvex relaxation is carried out, second order cone constraint formula is obtained:
In formula, PT, ijThe active power of node j, Q are flowed to for t period node iT, ijThe nothing of node j is flowed to for t period node i
Function power；lT, ijThe quadratic form of the current amplitude of node j is flowed to for t period node i；uT,I is the voltage amplitude of t period node i
The quadratic form of value.
(6.2) distributed generation resource is run and is constrainedConvex relaxation is carried out, is rotated
Second order cone constrains formula:
In formula,For the available reactive power maximum value of distributed generation resource in t period node i；For node i
Distributed generation resource capacity；The active power injected for distributed generation resource in t period node i.
7) using the mathematics solver of solution Second-order cone programming to the voltage control on the spot of active power distribution network distributed electrical source partition
The second order Based On The Conic Model of system strategy carries out calculating solution；
8) step 7) solving result, including partitioning scenario, each subregion distributed generation resource voltage control strategy on the spot are exported, with
And node voltage distribution, the via net loss of active power distribution network, distributed generation resource reactive compensation and active reduction situation.
Active power distribution network distributed electrical source partition of the invention voltage control strategy setting method on the spot, realizes active match
Voltage control strategy solves power grid distributed generation resource on the spot.
For example of the invention, impedance value, the load of circuit element in improved 69 node system of PG&E are inputted first
Active power a reference value and power factor, the network topology connection relationship of element, are shown in Tables 1 and 2；69 node of PG&E is calculated to calculate
Example electrical distance matrix, and obtaining optimally partitioned number is 4；Electrical distance matrix is clustered using clustering algorithm, is calculated
Example partitioning scenario, division result are as shown in Figure 2；One group of wind generator system, capacity 1MVA are accessed in the node 35 of subregion 1；
One group of wind generator system is accessed in the node 10 of subregion 2, capacity is that node 15 and node 26 of the 1MVA in subregion 3 connect respectively
Enter one group of photovoltaic system, capacity is that node 46 in 1MVA subregion 4 and node 54 are respectively connected to one group of photovoltaic system, and capacity is equal
For 0.8MVA；Distributed generation resource and load operation Predicting Performance Characteristics curve are as shown in Figure 3；The peace of each node voltage amplitude (per unit value)
Row bound for the national games is respectively 1.10p.u. and 0.90p.u.；The reference voltage that active power distribution network is arranged is 12.66kV, benchmark function
Rate is 1MVA.Node voltage it is expected that traffic coverage is 0.97p.u. to 1.03p.u., with regard to the adjusting of ground voltage real power control curve
Voltage it is expected that traffic coverage lower limit is 1.05p.u., active power distribution network voltage deviation situation, active power distribution network loss and active cuts
The weight coefficient for subtracting situation takes 0.22,0.5 and 0.28 respectively.
Three kinds of schemes are respectively adopted to compare and analyze:
Scheme I: control means are not used；
Scheme II: distributed electrical source partition of the invention voltage control strategy on the spot is used；
Scheme III: using centralized voltage control strategy.
Executing the computer hardware environment that optimization calculates is Intel (R) Xeon (R) CPU E5-1620, and dominant frequency is
3.70GHz inside saves as 32GB；Software environment is 8 operating system of Windows.
Voltage control strategy is shown in Fig. 4 a~Fig. 4 d to each subregion distributed generation resource on the spot, and different schemes result is relatively shown in Table 3.
Distributed generation resource adjusts its reactive compensation amount and active reduction according to voltage control strategy on the spot in real time, as a result sees
Fig. 5 a~Fig. 5 f and Fig. 6 a~Fig. 6 f is realized and is reduced voltage deviation, is reduced via net loss, be the results are shown in Table 3 and Fig. 7 a~Fig. 7 f.It can
To find out, when not using control means, the access of distributed generation resource will lead to system voltage big ups and downs.Using distributed electrical
After source adjusts strategy with regard to ground voltage, when node voltage is lower, distributed generation resource issues reactive power and supports voltage；When node electricity
Press it is higher when, distributed generation resource by absorbing reactive power reduce node voltage, if change reactive power still cannot effectively by
Node voltage is controlled in ideal interval, and distributed generation resource cuts down its active power, and active power distribution network voltage is made to maintain one
It is ideal horizontal.
The 69 node example load on-position 1 PG&E of table and power
2 PG&E of table, 69 node example line parameter circuit value
Simulation result under the different control strategies of table 3 compares
Claims (7)
1. a kind of active power distribution network distributed electrical source partition voltage control strategy setting method on the spot, which is characterized in that including such as
Lower step:
1) according to selected active power distribution network, input system structure and parameter, comprising: line parameter circuit value, load level, network topology
Connection relationship, on-position, type, capacity and the parameter of distributed generation resource, the day operation curve of distributed generation resource and load are
Working voltage of uniting constrains and branch current limitation, the initial value of system reference voltage and reference power；
2) the electrical distance matrix that electrical distance is constituted between calculating each node of active power distribution network；
3) by judging that the size of the characteristic value of electrical distance matrix obtains the optimally partitioned number of active power distribution network；
4) K-means clustering algorithm is used to carry out cluster subregion to electrical distance matrix to obtain distribution network division result；
5) active power distribution network distribution is established based on the division result that step 4) obtains according to active power distribution network structure and parameter
Voltage control strategy adjusts model to power supply subregion on the spot, comprising: selection root node is balance nodes, sets active distribution system electricity
The sum of deviation, system loss and the minimum objective function of active reduction are pressed, considers that system load flow constraint, system are transported safely respectively
Row constraint and distributed generation resource operation constraint；
6) objective function in the adjusting model is linearized, to system load flow constraint and distributed generation resource operation constraint
Conversion is linearized or is bored, voltage control strategy adjusting model conversation is two on the spot by active power distribution network distributed electrical source partition
Rank Based On The Conic Model；
7) using the mathematics solver of solution Second-order cone programming, to active power distribution network distributed electrical source partition, voltage controls plan on the spot
Second order Based On The Conic Model slightly carries out calculating solution；
8) step 7) solving result, including partitioning scenario, each subregion distributed generation resource voltage control strategy on the spot, Yi Jijie are exported
Point voltage's distribiuting, the via net loss of active power distribution network, distributed generation resource reactive compensation and active reduction situation.
2. active power distribution network distributed electrical source partition according to claim 1 voltage control strategy setting method on the spot,
It is characterized in that, electrical distance is obtained using following formula between each node described in step 2):
In formula,It is sensitivity of the voltage magnitude of node i to active power is injected at node j；It is the voltage amplitude of node j
It is worth the sensitivity to active power is injected at node i；WithIt is node i and node j voltage magnitude respectively to own node
The sensitivity of place's injection active power；It is based between active power-voltage sensibility node i being calculated and node j
Electrical distance；It is sensitivity of the voltage magnitude of node i to reactive power is injected at node j；It is the voltage of node j
Sensitivity of the amplitude to reactive power is injected at node i；WithIt is the voltage magnitude of node i and node j respectively to itself
The sensitivity of reactive power is injected at node；It is the node i being calculated based on reactive power-voltage sensibility and node
Electrical distance between j；β is the weight of the electrical distance between the node i that active power-voltage sensibility is calculated and node j
Coefficient；eI, jIt is the electrical distance between final active power distribution network node i and node j, and constitutes the member in electrical distance matrix
Element.
3. active power distribution network distributed electrical source partition according to claim 1 voltage control strategy setting method on the spot,
It is characterized in that, step 3) includes:
(3.1) initial optimally partitioned several N are seta=1；
(3.2) electrical distance matrix exgenvalue is calculated, and introduces auxiliary variable gi=λi/λ1(i=2,3 ..., n-1), λiIt is electricity
The corresponding characteristic value of i-th of node of gas distance matrix, λ1It is the 1st corresponding characteristic value of node of electrical distance matrix, n is
Active power distribution network interior joint sum；
(3.3) auxiliary variable g is usediThe coupled relation between node i and adjacent node is judged, if gi>=0.1, coupling between corresponding node
Conjunction relationship is weak, then enables Na=Na+ 1, otherwise, into next step；
(3.4) (3.3) step is repeated, until completing the judgement to coupled relation between n-1 node and adjacent node；
(3.5) finally obtained NaFor the optimally partitioned number of active power distribution network.
4. active power distribution network distributed electrical source partition according to claim 1 voltage control strategy setting method on the spot,
It is characterized in that, step 4) includes:
(4.1) N is determined in original active power distribution networkaA initial cluster center point；
(4.2) judge cluster centre point whether with the electrical distance matrix exgenvalue phase of corresponding electrical distance matrix interior joint
Together, if it is different, then modifying to k-means clustering algorithm, make cluster centre point and corresponding electrical distance matrix interior joint
Electrical distance matrix exgenvalue it is identical, otherwise, into next step；
(4.3) cluster subregion is carried out to electrical distance matrix using modified k-means clustering algorithm；
(4.4) step (4.2)~(4.3) are repeated, until obtaining NaIn a region each region node.
5. active power distribution network distributed electrical source partition according to claim 1 voltage control strategy setting method on the spot,
It is characterized in that, the sum of active power distribution system voltage deviation of setting described in step 5), system loss and active reduction are minimum
Objective function min f is expressed as
Min f=α fU+μfL+γfP
In formula, α, μ and γ are respectively active power distribution network voltage deviation fU, system loss fLWith active reduction situation fPWeight system
Number；NTAnd NNDiscontinuity surface number and system node sum when respectively；ΩbFor system branch set；uT, iFor the electricity of t period node i
Square of pressure amplitude value；rijFor the resistance of branch ij, lT, ijSquare of the current amplitude of node j is flowed to for t period node i；For the active reduction of distributed generation resource of t period node i；For uT, iExpectation interval limit,For uT, i's
It is expected that the section upper limit,Point is adjusted for the tactful voltage of the active reduction of the distributed generation resource in node i,ForExpectation area
Between lower limit.
6. active power distribution network distributed electrical source partition according to claim 1 voltage control strategy setting method on the spot,
It is characterized in that, the operation constraint representation of distributed generation resource described in step 5) is
In formula,For the available reactive power maximum value of distributed generation resource in t period node i；For point of node i
Cloth power supply capacity；The active power injected for distributed generation resource in t period node i；It is in t period node i points
The reactive power of cloth power supply injection；For the active reduction of distributed generation resource in t period node i；When for t
The active power predicted value of the upper distributed generation resource of Duan Jiediani；ΩkFor the node set in subregion k；NaMost for active power distribution network
The good number of partitions；gk(UT, i) be subregion k in the idle control strategy of distributed generation resource expression formula；hk(UT, i) be subregion k in distribution
The active expression formula for cutting down strategy of formula power supply；UT, iFor the voltage magnitude of t period node i.
7. active power distribution network distributed electrical source partition according to claim 1 voltage control strategy setting method on the spot,
It is characterized in that, nonlinear restriction is linearized or bored conversion described in step 6), be to system load flow constraint and distribution
The constraint containing power square carries out cone conversion in power supply operation constraint, and corestriction is linearized.
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| CN112134309A (en) * | 2020-09-10 | 2020-12-25 | 四川大学 | Novel partitioning method suitable for distributed voltage control of power distribution network |
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