CN109713694A - A kind of network dynamic reconstructing method of asymmetrical three-phase power distribution network - Google Patents
A kind of network dynamic reconstructing method of asymmetrical three-phase power distribution network Download PDFInfo
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Abstract
The invention discloses a kind of network dynamic reconstructing methods of asymmetrical three-phase power distribution network, this method comprises: establishing the network system model containing distributed generation resource and three-phase energy storage device according to selected asymmetrical three-phase distribution system；Active loss and switch motion cost calculation are carried out according to network system model, and using the minimum value of the sum of active loss and switch motion cost as objective function；Objective function is optimized according to the network radial structure constraint condition of setting, switch motion count constraint condition, three-phase linear power flow equation constraint condition, distributed power source output power control constraints condition, tributary capacity constraint condition, node voltage amplitude constraint condition, node voltage degree of unbalancedness constraint condition, three-phase energy storage device operation constraint condition and distributed generation resource power generation degree of unbalancedness constraint condition, establishes network reconfiguration model.Distributed generation resource is effectively ensured in this method reduces via net loss while safety in operation, improves power distribution network economical operation benefit.
Description
Technical field
The present invention relates to distribution network technology field more particularly to a kind of network dynamic reconstruct sides of asymmetrical three-phase power distribution network
Method.
Background technique
Power distribution network reconfiguration (distribution network reconfiguration, DNR) is Distribution Management System
One critical function, by change distribution system in interconnection switch and block switch closed state, meet workload demand,
Under the premise of guarantee system safety in operation, optimize network topology structure, realize the promotion of system performance, such as reduces network
Loss improves power quality and enhancing distributed generation resource (distributed generation, DG) receiving ability etc..Dynamic weight
Structure refers to that distribution system operations staff by the state of change remote control switch, dynamically changes the topology knot of distribution network
Structure, to realize flexible Topological expansion.
In recent years, as environmental problem becomes increasingly conspicuous, more and more distributed generation resource (distributed
Generation, DG) and electric car access distribution system, it has been further exacerbated by the variation of distribution side load power demand.Match
Power grid needs more flexible reconstruction strategy, in terms of and distributed generation resource (distributed generation, DG) power output with
The time-varying characteristics of load realize the purpose of power distribution network the safe and economic operation.
Due to existing single-phase loads a large amount of in practical power distribution network and route, so that the asymmetrical three-phase feature of distribution system
Prominent, the network reconstruction method of existing asymmetrical three-phase power distribution network typically only considers a reconstruct target or is optimizing
The constraint that considers is not comprehensive enough when reconstructing target, can not guarantee distributed generation resource (distributed generation,
DG) while safety in operation, via net loss is effectively reduced, improves the economic benefit of power distribution network operation.
Summary of the invention
The object of the present invention is to provide a kind of network dynamic reconstructing methods of asymmetrical three-phase power distribution network, can be in many aspects
Consider the constraint of reconstruct target and optimal reconfiguration target, while effectively guaranteeing distributed generation resource safety in operation, has
Effect reduces via net loss, improves the economic benefit of power distribution network operation.
The embodiment of the invention provides a kind of network dynamic reconstructing methods of asymmetrical three-phase power distribution network, comprising:
The power grid system containing distributed generation resource and three-phase energy storage device is established according to selected asymmetrical three-phase distribution system
System model；
Total line active loss and switch motion cost calculation are carried out according to the network system model, and with active loss
Minimum value with the sum of switch motion cost is as objective function；
According to the network radial structure constraint condition of setting, switch motion count constraint condition, three-phase linear trend side
Journey constraint condition, distributed power source output power control constraints condition, tributary capacity constraint condition, node voltage amplitude constrain item
Part, node voltage degree of unbalancedness constraint condition, three-phase energy storage device operation constraint condition and distributed generation resource power generation degree of unbalancedness
Constraint condition optimizes the objective function, establishes network reconfiguration model；
Linearization process is carried out to the network reconfiguration model, obtains mixed integer linear programming model, and use CPLEX
Solver solves the mixed integer linear programming model.
It is preferably, described that total line active loss and switch motion cost calculation are carried out according to the network system model,
And using the minimum value of the sum of active loss and switch motion cost as objective function, specifically include:
According to formulaObtain institute
State the objective function of network system model；
Wherein, T is period calculated set；B is network system model set of fingers；CactTo switch single motion
Cost coefficient；αij,tAnd βij,tIndicate the switch conversion state of t period branch switch (i, j), αij,tBranch switch is indicated for 1
(i, j) state is converted to off-state, β by closed state in the t periodij,tIndicate branch switch (i, j) state in the t period for 1
Closed state, α are converted to by off-stateij,tAnd βij,tWhen being 0 indicate branch switch (i, j) state the t period there is no
Variation；Closs3 × 1 dimensional vectors constituted for active loss cost coefficient；(·)TExpression takes transposition operation to matrix；rijFor
3 × 3 dimension matrixes that branch (i, j) three-phase resistance is constituted；Pij,tThe three phases active power for flowing to node j for t period node i is constituted
3 × 1 dimensional vectors, Qij,t3 × 1 dimensional vectors constituted for the three phase reactive power that t period node i flows to node j；Vi,t
3 × 1 dimensional vectors constituted for t period node i three-phase voltage；Indicate that matrix of the same dimensions corresponding element is divided by.
Preferably, the network radial structure constraint condition and switch motion count constraint condition, specifically include:
The network radial structure constraint condition specifically:
Wherein, N is the set of all nodes of network system model；F is the set of all root nodes of network system model；N/
F indicates the set of remaining node in addition to root node in network system model；NnWith NfRespectively network system model node sum
With root node sum；zij,tIt indicates the open and-shut mode of branch switch (i, j) in the t period, is 1 when branch switch (i, j) is closed, breaks
It is 0 when opening；
The switch motion count constraint condition specifically:
Wherein, SmaxThe branch switch allowed for network system model having time section acts total degree；SsmaxIndividually to open
Close the action frequency allowed in all periods.
Preferably, the three-phase linear power flow equation constraint condition, specifically includes:
Wherein, formula (4) and formula (5) respectively indicate active power balance equation and the reactive power equilibrium side of node
Journey；Formula (6) and formula (7) are node voltage amplitude interconnection constraint；(i, j) ∈ B, t ∈ T；G is node where distributed generation resource
The set of composition；L is the set that load bus is constituted；Pki,tWith Qki,tRespectively indicate the three-phase that the t period flows to node i by node k
Active power and reactive power；Pij,tWith Qij,tRespectively indicating the t period by node i flows to the three phases active power of node j and idle
Power；Pf,tWith Qf,tRespectively indicate the three phases active power and reactive power that the t period injects from root node to node i；Pg,tWith
Qg,tRespectively indicate the three phases active power and reactive power that the t period injects from distributed generation resource to node i；Pl,tWith Ql,tRespectively
Indicate the three phases active power and reactive power of load consumption at t period node i；WithRespectively indicate t period node i
Locate the active charge power and active discharge power of three-phase energy storage device；Indicate three-phase energy storage device institute at t period node i
The reactive power of output；
3 × 1 dimensional vectors constituted for t period node i three-phase voltage squared magnitude；3 × 1 dimensional vectors constituted for t period branch (i, j) three phase power；
() * expression takes conjugate operation to matrix；eij{ 0,1 } numerical value of serving as reasons constitute expressions three-phase line correspond to phase 3 × 1 tie up arrange to
Amount；O indicates that the identical matrix corresponding element of two dimensions is multiplied, Zij3 × 3 dimension impedances constituted for three-phase line
Battle array；γ is constant matrices, and M is constant.
Preferably, the distributed power source output power control constraints condition, specifically includes:
Wherein, Φ is the set that { a, b, c } three-phase is constituted；WithRespectively distributed generation resource active power of output and
Reactive power；WithThe respectively maximum value and minimum value of distributed generation resource active power output；λg minFor distribution
The minimum power factor of formula power supply power output；Sg maxFor the rated capacity of distributed generation resource.
Preferably, the tributary capacity constraint condition, specifically includes:
Wherein,WithThe respectively three phases active power and reactive power of t period branch (i, j) transmission；
For the maximum value of branch (i, j) transmission capacity.
Preferably, the node voltage amplitude constraint condition, specifically includes:
Wherein, Uf,tFor square of root node voltage magnitude；For root node f the t period three-phase reference voltage amplitude
Square constitute 3 × 1 dimensional vectors；For square of three-phase voltage amplitude；WithRespectively node i voltage amplitude
The upper and lower bound of value.
Preferably, the node voltage degree of unbalancedness constraint condition, specifically includes:
Wherein, avgi,tIndicate the average value of t period node i three-phase voltage squared magnitude.
Preferably, three-phase energy storage device operation constraint condition include charging and discharging state constraint condition, state-of-charge about
Beam condition and three-phase capacity of energy storing device constraint condition, specifically include:
The charging and discharging state constraint condition specifically:
Wherein, E is the set that node where three-phase energy storage device is constituted；For the maximum charge and discharge of three-phase energy storage device
Power；WithThe respectively 0-1 variable of three-phase energy storage device charge and discharge state,Three-phase energy storage dress is indicated for 1
It sets in charged state,It is in discharge condition for 1 expression three-phase energy storage device,WithThree-phase energy storage is indicated when being 0
Device is in and neither charges nor discharge condition；
The state-of-charge constraint condition specifically:
Wherein,For three-phase energy storage device state of charge；εcWith εdThe respectively charge efficiency of three-phase energy storage device
With discharging efficiency；WithThe respectively upper and lower bound of three-phase energy storage device state-of-charge；
The three-phase capacity of energy storing device constraint condition specifically:
Wherein,The reactive power exported by t period three-phase energy storage device；For the capacity of three-phase energy storage device
Value.
Preferably, the distributed generation resource power generation degree of unbalancedness constraint condition, specifically includes:
Wherein, CUF is current imbalance factor, the i.e. ratio of negative-sequence current and forward-order current；For distributed generation resource fortune
The negative sequence component of row electric current；For the positive-sequence component of distributed generation resource running current；CUFg maxPermitted by distributed generation resource operation
Perhaps the maximum value of CUF；Respectively { a, b, c } three-phase current of distributed generation resource；η is complex operator, and value is
ej2π/3。
Compared with the existing technology, the network dynamic reconstruct side of a kind of asymmetrical three-phase power distribution network provided in an embodiment of the present invention
The beneficial effect of method is: the network dynamic reconstructing method of the asymmetrical three-phase power distribution network, comprising: not according to selected three-phase
Symmetrical distribution system establishes the network system model containing distributed generation resource and three-phase energy storage device；According to the network system mould
Type carries out total line active loss and switch motion cost calculation, and with the minimum value of the sum of active loss and switch motion cost
As objective function；According to the network radial structure constraint condition, switch motion count constraint condition, three-phase linear of setting tide
Flow equation constraint condition, distributed power source output power control constraints condition, tributary capacity constraint condition, node voltage amplitude are about
Beam condition, node voltage degree of unbalancedness constraint condition, three-phase energy storage device operation constraint condition and distributed generation resource power generation are uneven
Weighing apparatus degree constraint condition optimizes the objective function, establishes network reconfiguration model；Line is carried out to the network reconfiguration model
Propertyization processing obtains mixed integer linear programming model, and using CPLEX solver to the mixed integer linear programming model
It is solved.This method is by considering to the total line active loss of network system model and the minimum of the sum of switch motion cost
Value is used as objective function, and considers multiple constraints in optimal reconfiguration objective function, effectively guarantees distributed generation resource
While safety in operation, via net loss is effectively reduced, improves the economic benefit of power distribution network operation.
Detailed description of the invention
Fig. 1 is that a kind of process of the network dynamic reconstructing method of asymmetrical three-phase power distribution network provided in an embodiment of the present invention is shown
It is intended to；
Fig. 2 is power grid system in a kind of network dynamic reconstructing method of asymmetrical three-phase power distribution network provided in an embodiment of the present invention
The wiring diagram of system model；
Fig. 3 is power grid system in a kind of network dynamic reconstructing method of asymmetrical three-phase power distribution network provided in an embodiment of the present invention
24 hours change curves of three-phase total load in system model；
Fig. 4 is distributed electrical at preceding 6 period interior joint 5 in a kind of asymmetrical three-phase power distribution network provided in an embodiment of the present invention
The active power of source and three-phase energy storage device exports schematic diagram.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other
Embodiment shall fall within the protection scope of the present invention.
Referring to Fig. 1, it is a kind of network dynamic reconstruct side of asymmetrical three-phase power distribution network provided in an embodiment of the present invention
The flow diagram of method, the network dynamic reconstructing method of the asymmetrical three-phase power distribution network, comprising:
S100: the electricity containing distributed generation resource and three-phase energy storage device is established according to selected asymmetrical three-phase distribution system
Net system model；
S200: total line active loss and switch motion cost calculation are carried out according to the network system model, and to have
The minimum value with the sum of switch motion cost is lost as objective function in function；
S300: according to the network radial structure constraint condition, switch motion count constraint condition, three-phase linear of setting tide
Flow equation constraint condition, distributed power source output power control constraints condition, tributary capacity constraint condition, node voltage amplitude are about
Beam condition, node voltage degree of unbalancedness constraint condition, three-phase energy storage device operation constraint condition and distributed generation resource power generation are uneven
Weighing apparatus degree constraint condition optimizes the objective function, establishes network reconfiguration model；
S400: linearization process is carried out to the network reconfiguration model, obtains mixed integer linear programming model, and use
CPLEX solver solves the mixed integer linear programming model.
Although many reconstruction method of power distribution network model solution speed, in terms of achieve greater advance,
Most methods are the static reconfiguration methods of discontinuity surface when being directed to single, i.e. hypothesis load is invariable.However,
In actual motion, the load of system is always continually changing at any time, thus, it focuses on network topology in a period of time and continuously adjusts
The operation that whole dynamic reconfiguration method is more in line with power distribution network is practical.
In addition, most current processes assume distribution system three-phase symmetrical, thus, divided using one phase equivalent model
Analysis.And a large amount of existing single-phase loads and route in practical power distribution network, so that the asymmetrical three-phase of distribution system is with conspicuous characteristics, and
And when the current imbalance factor (current unbalance factor, CUF) of three-phase synchronous operation distributed generation resource reaches
When more than threshold value, distributed generation resource tripping off-grid will cause.Therefore, distributed generation resource power generation Ying Qi current imbalance factor limit
It is scheduled within the scope of value.So effectively meter and distributed generation resource is transported how in the reconstructing method of asymmetrical three-phase power distribution network
Via net loss is effectively reduced while guaranteeing distributed generation resource safety in operation in capable degree of unbalancedness constraint, improves power distribution network
The economic benefit of operation is the purpose of the application.
In an alternative embodiment, it S100: is established according to selected asymmetrical three-phase distribution system containing distribution
The network system model of power supply and three-phase energy storage device.Mainly by introducing three-phase energy storage device in network system model
(energystorage, ES) realizes the coordinated operation of distributed generation resource and three-phase energy storage device (energystorage, ES),
To can satisfy the demand of three-phase imbalance load while guaranteeing distributed generation resource power generation degree of unbalancedness constraint.
In an alternative embodiment, it S200: carries out total line active loss according to the network system model and opens
Pass acts cost calculation, and using the minimum value of the sum of active loss and switch motion cost as objective function, specifically includes:
According to formula
Obtain the objective function of the network system model；
Wherein, T is period calculated set；B is network system model set of fingers；CactTo switch single motion
Cost coefficient；αij,tAnd βij,tIndicate the switch conversion state of t period branch switch (i, j), αij,tBranch switch is indicated for 1
(i, j) state is converted to off-state, β by closed state in the t periodij,tIndicate branch switch (i, j) state in the t period for 1
Closed state, α are converted to by off-stateij,tAnd βij,tWhen being 0 indicate branch switch (i, j) state the t period there is no
Variation；Closs3 × 1 dimensional vectors constituted for active loss cost coefficient；(·)TExpression takes transposition operation to matrix；rijFor
3 × 3 dimension matrixes that branch (i, j) three-phase resistance is constituted；Pij,tThe three phases active power for flowing to node j for t period node i is constituted
3 × 1 dimensional vectors, Qij,t3 × 1 dimensional vectors constituted for the three phase reactive power that t period node i flows to node j；Vi,t
3 × 1 dimensional vectors constituted for t period node i three-phase voltage；Indicate that matrix of the same dimensions corresponding element is divided by.
In the present embodiment, by making using the minimum value of the sum of active loss and switch motion cost as objective function
It is more comprehensive to obtain network dynamic reconstructing method, flexible power distribution network topology optimization may be implemented.
In an alternative embodiment, S300: according to the network radial structure constraint condition of setting, switch motion time
Number constraint condition, three-phase linear power flow equation constraint condition, distributed power source output power control constraints condition, tributary capacity are about
Beam condition, node voltage amplitude constraint condition, node voltage degree of unbalancedness constraint condition, three-phase energy storage device run constraint condition
The objective function is optimized with distributed generation resource power generation degree of unbalancedness constraint condition, establishes network reconfiguration model, specifically
Include:
The network radial structure constraint condition specifically:
Wherein, N is the set of all nodes of network system model；F is the set of all root nodes of network system model；N/
F indicates the set of remaining node in addition to root node in network system model；NnWith NfRespectively network system model node sum
With root node sum；zij,tIt indicates the open and-shut mode of branch switch (i, j) in the t period, is 1 when branch switch (i, j) is closed, breaks
It is 0 when opening；
In the present embodiment, regulate and control in order to facilitate the relaying configuration of network system model and operation, reduce network system mould
The short circuit current of type, power distribution network are usually radial operation, and therefore, the network system model after reconstruct needs to meet radial net
Network structural constraint.
Further, the switch motion count constraint condition specifically:
Wherein, SmaxThe branch switch allowed for network system model having time section acts total degree；SsmaxIndividually to open
Close the action frequency allowed in all periods.
In the present embodiment, since the frequent movement of switch will affect the service life of switch, need to be arranged switch thus
Action frequency limitation with guarantee realize via net loss reduce while reduce switching loss to the greatest extent.
Further, the three-phase linear power flow equation constraint condition, specifically includes:
Wherein, formula (4) and formula (5) respectively indicate active power balance equation and the reactive power equilibrium side of node
Journey；Formula (6) and formula (7) are node voltage amplitude interconnection constraint；(i, j) ∈ B, t ∈ T；G is node where distributed generation resource
The set of composition；L is the set that load bus is constituted；Pki,tWith Qki,tRespectively indicate the three-phase that the t period flows to node i by node k
Active power and reactive power；Pij,tWith Qij,tRespectively indicating the t period by node i flows to the three phases active power of node j and idle
Power；Pf,tWith Qf,tRespectively indicate the three phases active power and reactive power that the t period injects from root node to node i；Pg,tWith
Qg,tRespectively indicate the three phases active power and reactive power that the t period injects from distributed generation resource to node i；Pl,tWith Ql,tRespectively
Indicate the three phases active power and reactive power of load consumption at t period node i；WithIt respectively indicates at t period node i
The active charge power and active discharge power of three-phase energy storage device (energystorage, ES)；Indicate t period node i
The reactive power that place three-phase energy storage device (energystorage, ES) is exported；
3 × 1 dimensional vectors constituted for t period node i three-phase voltage squared magnitude；3 × 1 dimensional vectors constituted for t period branch (i, j) three phase power；
() * expression takes conjugate operation to matrix；eij{ 0,1 } numerical value of serving as reasons constitute expressions three-phase line correspond to phase 3 × 1 tie up arrange to
Amount；O indicates that the identical matrix corresponding element of two dimensions is multiplied, Zij3 × 3 dimension impedances constituted for three-phase line
Battle array；γ is constant matrices, and M is constant.
In the present embodiment, since the non-linear model that will cause of power flow equation is non-convex, thus in the present embodiment by pair
Power flow equation carries out linearisation building, simplifies its solution；Wherein, eijFor 3 × 1 dimensional vectors, such as: assuming that branch (i, j) is
Uniline (such as: b phase), then eij=[0,1,0]T；γ is represented by
Formula (6) and formula (7) are node voltage amplitude interconnection constraint, which ensure that node voltage amplitude interconnection constraint only
It is applied on the route of branch switch closure；M is a sufficiently large constant, and value generally makes formula (6) and formula (7) only
To the circuit functions of branch switch closure.
Further, the distributed power source output power control constraints condition, specifically includes:
Wherein, Φ is the set that { a, b, c } three-phase is constituted；WithRespectively distributed generation resource active power of output and
Reactive power；WithThe respectively maximum value and minimum value of distributed generation resource active power output；λg minFor distribution
The minimum power factor of formula power supply power output；Sg maxFor the rated capacity of distributed generation resource.
In the present embodiment, since the output power of distributed generation resource (distributed generation, DG) needs
It is adjusted in the constraint of its power factor and capacity-constrained limitation range, it is therefore desirable to the power factor and output work that it is run
Rate is constrained.
Further, the tributary capacity constraint condition, specifically includes:
Wherein,WithThe respectively three phases active power and reactive power of t period branch (i, j) transmission；For branch
The maximum value of road (i, j) transmission capacity.
In the present embodiment, when being more than its rated capacity due to the transmission power of the distribution line in network system model,
The safety of network system model running can be jeopardized, it is therefore desirable to which constraint processing is carried out to tributary capacity.
Further, the node voltage amplitude constraint condition, specifically includes:
Wherein, Uf,tFor square of root node voltage magnitude；For root node f the t period three-phase reference voltage amplitude
Square constitute 3 × 1 dimensional vectors；For square of three-phase voltage amplitude；WithRespectively node i voltage magnitude
Upper and lower bound.
In the present embodiment, the upper and lower bound of the node voltage amplitude of general distribution system operation be respectively 0.95pu with
1.05pu, it is therefore desirable to which constraint processing is carried out to node voltage amplitude；WhereinGeneral value is 1.0pu,Value is
0.95pu,Value is 1.05pu.
Further, the node voltage degree of unbalancedness constraint condition, specifically includes:
Wherein, avgi,tIndicate the average value of t period node i three-phase voltage squared magnitude.
In actual operation, voltage unbalance factor is a major issue of asymmetrical three-phase power distribution network, Voltage unbalance
Degree is defined as node three-phase maximum voltage amplitude deviation divided by the average value of three-phase voltage amplitude；Therefore usually node voltage is uneven
Weighing apparatus degree should control within 3%, and the range of the corresponding node voltage amplitude square degree of unbalancedness of this range is about 6%.
Further, the three-phase energy storage device operation constraint condition includes charging and discharging state constraint condition, state-of-charge
Constraint condition and three-phase capacity of energy storing device constraint condition, specifically include:
The charging and discharging state constraint condition specifically:
Wherein, E is the set that node where three-phase energy storage device is constituted；For the maximum charge and discharge of three-phase energy storage device
Power；WithThe respectively 0-1 variable of three-phase energy storage device charge and discharge state,Three-phase energy storage dress is indicated for 1
It sets in charged state,It is in discharge condition for 1 expression three-phase energy storage device,WithThree-phase energy storage is indicated when being 0
Device is in and neither charges nor discharge condition；
The state-of-charge constraint condition specifically:
Wherein,For three-phase energy storage device state of charge；εcWith εdThe respectively charge efficiency of three-phase energy storage device
With discharging efficiency；WithThe respectively upper and lower bound of three-phase energy storage device state-of-charge；
The three-phase capacity of energy storing device constraint condition specifically:
Wherein,It is expressed as the reactive power that t period three-phase energy storage device is exported；For the appearance of three-phase energy storage device
Magnitude.
In the present embodiment, due to the constraint of formula (19),WithIt can not simultaneously be 1；εcValue is 0.9, εdIt takes
Value is 1.11；General value is the 10% of the capability value of three-phase energy storage device,General value is three-phase energy storage
The 90% of the capability value of device.
Further, the distributed generation resource power generation degree of unbalancedness constraint condition, specifically includes:
Wherein, CUF is current imbalance factor, the i.e. ratio of negative-sequence current and forward-order current；For distributed generation resource fortune
The negative sequence component of row electric current；For the positive-sequence component of distributed generation resource running current；CUFg maxPermitted by distributed generation resource operation
Perhaps the maximum value of CUF；Respectively { a, b, c } three-phase current of distributed generation resource；η is complex operator, value ej2 π/3。
In the present embodiment, since when CUF current imbalance factor is more than given threshold, the threshold value is generally
20%, the three-phase synchronous operation distributed generation resource off-grid that will trip to avoid overheat damages unit, it is therefore desirable to distribution
Power supply power generation degree of unbalancedness carries out constraint processing.
In an alternative embodiment, S400: linearization process is carried out to the network reconfiguration model, obtains mixing whole
Number linear programming model, and the mixed integer linear programming model is solved using CPLEX solver.Due to working as power grid
, can be troublesome in solution procedure when occurring nonlinear problem in system model, so this reconstructing method can use interpolation line
Property method objective function is linearized, to the round constraint type occurred in constraint condition using approximation side in polygon
Method approximate representation effectively improves model so as to be mixed integer linear programming model by network system model conversation
Solution efficiency.
Referring to Fig. 2, it is a kind of network dynamic reconstruct side of asymmetrical three-phase power distribution network provided in an embodiment of the present invention
The wiring diagram of network system model in method, in order to verify the validity of present networks dynamic reconfiguration method, the network system model
Wiring diagram mainly verified using modified IEEE34 node power distribution test macro.
Wherein, distributed generation resource (distributed at modified IEEE34 bus test system access 5
Generation, DG), access node 18 and node 22 are single-phase distributed generation resource, remaining is three-phase distributed generation resource at 3；
Three-phase energy storage device (ES) is mounted on node 7, and each phase charge-discharge electric power can be controlled separately；Solid line indicates the branch of first closure,
Dotted line indicates the contact branch that can be closed, and original state is to disconnect.The rated capacity of each distributed generation resource is arranged such as 1 institute of table
Show.
Table 1
Referring to Fig. 3, it is a kind of network dynamic reconstruct side of asymmetrical three-phase power distribution network provided in an embodiment of the present invention
In method in network system model three-phase total load 24 hours change curves, it is a length of 24 small when optimizing in this test verifying
When, temporal resolution is 1 hour, active loss cost coefficient and switch single motion cost coefficient CactIt is respectively set to 0.08
$/kWh and 1.0 $/time, when being linearized using interpolation linearization technique to objective function, branch active loss is using 12
Interpolation point.
Ignoring distributed generation resource operation degree of unbalancedness constraint and setting three-phase energy storage device in network system model
For off position, it is as shown in table 2 to obtain network dynamic reconstruction result.In the case, according to the objective function in formula (1)
It is 161.90 $ that Web-based exercise, which is calculated,.
Table 2
Network system model bring is influenced in order to illustrate distributed generation resource operation degree of unbalancedness constraint is ignored, is obtained each
Output power of the distributed generation resource in the 4th period, specific data are as shown in table 3:
Table 3
It can analyze and obtain from the data in table, due to load unbalanced in network system model, ignoring distribution
When power supply runs degree of unbalancedness constraint, three-phase distributed generation resource at node 5 the 4th period output power current imbalance because
Number is larger, in this case, to avoid overheating, may result in the control system tripping in distributed generation resource, to influence
The safety of power distribution network operation.
So the safety in order to guarantee power distribution network operation, it is uneven that present networks dynamic restructuring considers distributed generation resource operation
The constraint of weighing apparatus degree influences network system model bring, and network dynamic reconstruction result is as shown in table 4:
Table 4
In the case, Web-based exercise is calculated according to the objective function in formula (1) is 183.46 $, although than neglecting
It is increased slightly when slightly distributed generation resource operation degree of unbalancedness constrains, but this can illustrate to constrain due to distributed generation resource degree of unbalancedness
The output power of distributed generation resource is limited, in order to meet workload demand, it is necessary to remaining imbalance power is obtained from root node,
The transmission of this Partial Power results in the increase of via net loss.
After considering the constraint of distributed generation resource degree of unbalancedness, each distributed generation resource is reacquired in the output work of the 4th period
Rate, specific data are as shown in table 5:
Table 5
It can analyze and obtain from the data in table, it is uneven due to joined distributed generation resource power generation in network dynamic reconstruct
Degree constrains, and output power corresponding current imbalance factor of the three-phase distributed generation resource in the 4th period has been controlled at node 5
Within 20%, while the generating capacity of three-phase distributed generation resource is also restricted at node 5.
Three-phase energy storage device is set while considering distributed generation resource power generation degree of unbalancedness constraint, wherein three-phase energy storage fills
The design parameter set is as shown in table 6:
Table 6
Again model is solved, it is 172.23 $ that Web-based exercise, which is calculated, according to the objective function in formula (1),
It can be seen that relative to only consider distributed generation resource operation degree of unbalancedness constraint when Web-based exercise reduced, this can verify explanation by
In the coordinated operation of three-phase energy storage device and distributed generation resource, distributed generation resource power output level can be alleviated to a certain extent
Limited degree, to reduce the increase of via net loss caused by power transmission；However, horizontal the improved degree of distributed generation resource power output
It to be influenced by three-phase energy storage device (ES) parameter, this is also that Web-based exercise after model reconstruction is still higher than and ignores distributed electrical
The reason of source power generation degree of unbalancedness restraint condition, but can be appropriate by the coordinated operation of three-phase energy storage device and distributed generation resource
The case where adjusting three-phase imbalance load, realizes the safe and economic operation of distribution system.
Referring to Fig. 4, it is preceding 6 period interior joint 5 in a kind of asymmetrical three-phase power distribution network provided in an embodiment of the present invention
The active power for locating distributed generation resource and three-phase energy storage device exports schematic diagram, wherein top is three-phase distributed electrical at node 5
The active output power in source (distributed generation, DG), it can be seen that the output power approximate equilibrium of three-phase；In
Portion is the active charge-discharge electric power of three-phase energy storage device (ES) at node 7, it can be seen that 6 periods of the phase front A are in charging shape
State, B phase only have the charge power of very little in discharge condition, C phase, this is because in the localized network where node 2-9, A phase
Load be 0, the B phase load reason bigger than C phase load again；Bottom is three-phase distributed generation resource (distributed
Generation, DG) with three-phase energy storage device (ES) coordinate after active output power, it can be seen that pass through distributed generation resource
It is negative to can satisfy three-phase imbalance for the coordinated operation of (distributed generation, DG) and three-phase energy storage device (ES)
The demand of lotus realizes the safe and economic operation of distribution system.
Compared with the existing technology, the network dynamic reconstruct side of a kind of asymmetrical three-phase power distribution network provided in an embodiment of the present invention
The beneficial effect of method is: the network dynamic reconstructing method of the asymmetrical three-phase power distribution network, comprising: not according to selected three-phase
Symmetrical distribution system establishes the network system model containing distributed generation resource and three-phase energy storage device；According to the network system mould
Type carries out total line active loss and switch motion cost calculation, and with the minimum value of the sum of active loss and switch motion cost
As objective function；According to the network radial structure constraint condition, switch motion count constraint condition, three-phase linear of setting tide
Flow equation constraint condition, distributed power source output power control constraints condition, tributary capacity constraint condition, node voltage amplitude are about
Beam condition, node voltage degree of unbalancedness constraint condition, three-phase energy storage device operation constraint condition and distributed generation resource power generation are uneven
Weighing apparatus degree constraint condition optimizes the objective function, establishes network reconfiguration model；Line is carried out to the network reconfiguration model
Propertyization processing obtains mixed integer linear programming model, and using CPLEX solver to the mixed integer linear programming model
It is solved.This method is by considering to the total line active loss of network system model and the minimum of the sum of switch motion cost
Value is used as objective function, and considers multiple constraints in optimal reconfiguration objective function, effectively guarantees distributed generation resource
While safety in operation, via net loss is effectively reduced, improves the economic benefit of power distribution network operation.
The above is a preferred embodiment of the present invention, it is noted that for those skilled in the art
For, various improvements and modifications may be made without departing from the principle of the present invention, these improvements and modifications are also considered as
Protection scope of the present invention.
Claims (10)
1. a kind of network dynamic reconstructing method of asymmetrical three-phase power distribution network characterized by comprising
The network system mould containing distributed generation resource and three-phase energy storage device is established according to selected asymmetrical three-phase distribution system
Type；
Carry out total line active loss and switch motion cost calculation according to the network system model, and with active loss with open
Pass acts the minimum value of the sum of cost as objective function；
About according to the network radial structure constraint condition, switch motion count constraint condition, three-phase linear power flow equation of setting
Beam condition, distributed power source output power control constraints condition, tributary capacity constraint condition, node voltage amplitude constraint condition,
Node voltage degree of unbalancedness constraint condition, three-phase energy storage device operation constraint condition and distributed generation resource power generation degree of unbalancedness constraint
Condition optimizes the objective function, establishes network reconfiguration model；
Linearization process is carried out to the network reconfiguration model, obtains mixed integer linear programming model, and solve using CPLEX
Device solves the mixed integer linear programming model.
2. the network dynamic reconstructing method of asymmetrical three-phase power distribution network as described in claim 1, which is characterized in that the basis
The network system model carries out total line active loss and switch motion cost calculation, and with active loss and switch motion at
The minimum value of the sum of this is specifically included as objective function:
According to formula
Obtain the objective function of the network system model；
Wherein, T is period calculated set；B is network system model set of fingers；CactTo switch single motion cost
Coefficient；αij,tAnd βij,tIndicate the switch conversion state of t period branch switch (i, j), αij,tBranch switch (i, j) is indicated for 1
State is converted to off-state, β by closed state in the t periodij,tIndicate branch switch (i, j) state in the t period by disconnecting for 1
State is converted to closed state, αij,tAnd βij,tIndicate that there is no variations in the t period for branch switch (i, j) state when being 0；
Closs3 × 1 dimensional vectors constituted for active loss cost coefficient；(·)TExpression takes transposition operation to matrix；rijFor branch
3 × 3 dimension matrixes that (i, j) three-phase resistance is constituted；Pij,t3 constituted for the three phases active power that t period node i flows to node j
× 1 dimensional vector, Qij,t3 × 1 dimensional vectors constituted for the three phase reactive power that t period node i flows to node j；Vi,tFor t
3 × 1 dimensional vectors that period node i three-phase voltage is constituted；Indicate that matrix of the same dimensions corresponding element is divided by.
3. the network dynamic reconstructing method of asymmetrical three-phase power distribution network as claimed in claim 2, which is characterized in that the network
Radial structure constraint condition and switch motion count constraint condition, specifically include:
The network radial structure constraint condition specifically:
Wherein, N is the set of all nodes of network system model；F is the set of all root nodes of network system model；N/F table
Show the set of remaining node in addition to root node in network system model；NnWith NfRespectively network system model node sum with
Root node sum；zij,tIt indicates the open and-shut mode of branch switch (i, j) in the t period, is 1 when branch switch (i, j) is closed, disconnects
When be 0；
The switch motion count constraint condition specifically:
Wherein, SmaxThe branch switch allowed for network system model having time section acts total degree；SsmaxExist for single switch
The action frequency that all periods allow.
4. the network dynamic reconstructing method of asymmetrical three-phase power distribution network as claimed in claim 3, which is characterized in that the three-phase
Linear power flow equation constraint condition, specifically includes:
Wherein, formula (4) and formula (5) respectively indicate the active power balance equation and reactive power equilibrium equation of node；It is public
Formula (6) and formula (7) are node voltage amplitude interconnection constraint；(i, j) ∈ B, t ∈ T；G is that node is constituted where distributed generation resource
Set；L is the set that load bus is constituted；Pki,tWith Qki,tIt is active to respectively indicate the three-phase that the t period flows to node i by node k
Power and reactive power；Pij,tWith Qij,tRespectively indicate the three phases active power and idle function that the t period flows to node j by node i
Rate；Pf,tWith Qf,tRespectively indicate the three phases active power and reactive power that the t period injects from root node to node i；Pg,tWith Qg,t
Respectively indicate the three phases active power and reactive power that the t period injects from distributed generation resource to node i；Pl,tWith Ql,tIt respectively indicates
The three phases active power and reactive power that load consumes at t period node i；WithIt respectively indicates three at t period node i
The active charge power and active discharge power of phase energy storage device；Indicate that three-phase energy storage device is exported at t period node i
Reactive power；
3 × 1 dimensional vectors constituted for t period node i three-phase voltage squared magnitude；3 × 1 dimensional vectors constituted for t period branch (i, j) three phase power；
() * expression takes conjugate operation to matrix；eij{ 0,1 } numerical value of serving as reasons constitute expressions three-phase line correspond to phase 3 × 1 tie up arrange to
Amount；O indicates that the identical matrix corresponding element of two dimensions is multiplied, Zij3 × 3 dimensions constituted for three-phase line
Impedance Matrix；γ is constant matrices, and M is constant.
5. the network dynamic reconstructing method of asymmetrical three-phase power distribution network as claimed in claim 4, which is characterized in that the distribution
Formula output power of power supply control constraints condition, specifically includes:
Wherein, Φ is the set that { a, b, c } three-phase is constituted；WithRespectively distributed generation resource active power of output and idle
Power；WithThe respectively maximum value and minimum value of distributed generation resource active power output；λg minFor distributed electrical
The minimum power factor of source power output；Sg maxFor the rated capacity of distributed generation resource.
6. the network dynamic reconstructing method of asymmetrical three-phase power distribution network as claimed in claim 5, which is characterized in that the branch
Capacity constraints specifically include:
Wherein,WithThe respectively three phases active power and reactive power of t period branch (i, j) transmission；For branch
The maximum value of (i, j) transmission capacity.
7. the network dynamic reconstructing method of asymmetrical three-phase power distribution network as claimed in claim 6, which is characterized in that the node
Voltage magnitude constraint condition, specifically includes:
Wherein, Uf,tFor square of root node voltage magnitude；For root node f the t period three-phase reference voltage squared magnitude
3 × 1 dimensional vectors constituted；For square of three-phase voltage amplitude；WithRespectively node i voltage magnitude is upper
Limit and lower limit.
8. the network dynamic reconstructing method of asymmetrical three-phase power distribution network as claimed in claim 7, which is characterized in that the node
Voltage unbalance factor constraint condition, specifically includes:
Wherein, avgi,tIndicate the average value of t period node i three-phase voltage squared magnitude.
9. the network dynamic reconstructing method of asymmetrical three-phase power distribution network as claimed in claim 8, which is characterized in that the three-phase
It includes charging and discharging state constraint condition, state-of-charge constraint condition and three-phase capacity of energy storing device that energy storage device, which runs constraint condition,
Constraint condition specifically includes:
The charging and discharging state constraint condition specifically:
Wherein, E is the set that node where three-phase energy storage device is constituted；For the maximum charge-discharge electric power of three-phase energy storage device；WithThe respectively 0-1 variable of three-phase energy storage device charge and discharge state,It is in for 1 expression three-phase energy storage device
Charged state,It is in discharge condition for 1 expression three-phase energy storage device,WithIt is indicated at three-phase energy storage device when being 0
In neither charging nor discharge condition；
The state-of-charge constraint condition specifically:
Wherein,For three-phase energy storage device state of charge；εcWith εdRespectively the charge efficiency of three-phase energy storage device with put
Electrical efficiency；WithThe respectively upper and lower bound of three-phase energy storage device state-of-charge；
The three-phase capacity of energy storing device constraint condition specifically:
Wherein,It is expressed as the reactive power that t period three-phase energy storage device is exported；For the capacity of three-phase energy storage device
Value.
10. the network dynamic reconstructing method of asymmetrical three-phase power distribution network as claimed in claim 9, which is characterized in that described point
Cloth power supply power generation degree of unbalancedness constraint condition, specifically includes:
Wherein, CUF is current imbalance factor, the i.e. ratio of negative-sequence current and forward-order current；Electricity is run for distributed generation resource
The negative sequence component of stream；For the positive-sequence component of distributed generation resource running current；CUFg maxIt is run for distributed generation resource permitted
The maximum value of CUF；Respectively { a, b, c } three-phase current of distributed generation resource；η is complex operator, value ej2 π/3。
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