CN107800155A - Consider the multi-period islet operation method of active power distribution network of intelligent Sofe Switch - Google Patents
Consider the multi-period islet operation method of active power distribution network of intelligent Sofe Switch Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
- H02J3/381—Dispersed generators
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/28—Arrangements for balancing of the load in a network by storage of energy
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
- H02J3/388—Islanding, i.e. disconnection of local power supply from the network
Abstract
A kind of multi-period islet operation method of active power distribution network for considering intelligent Sofe Switch：Input selected distribution system structure and parameter；Establish the multi-period islet operation model of active power distribution network；Object function in the model and Nonlinear Constraints are linearized according to the canonical form of cone planning, second order cone model conversation and rotating cone model conversation, obtain the Second-order cone programming model of the multi-period islet operation of active power distribution network；Second-order cone programming model is solved using cone Programming, obtained：Each node recovers load coefficient, the power output and control model of controllable and uncontrollable distributed power source, energy-storage system charge-discharge electric power and state-of-charge, the transimission power of intelligent Sofe Switch；Export solving result.The present invention takes into full account influence of the access of intelligent Sofe Switch to distribution system islet operation, establishes the Second-order cone programming model of the multi-period islet operation of active power distribution network, solves the problems, such as active power distribution network islet operation.
Description
Technical field
The present invention relates to a kind of multi-period islet operation method of active power distribution network.Consider that intelligence is soft more particularly to one kind to open
The multi-period islet operation method of active power distribution network of pass.
Background technology
Self-healing is one of key character of intelligent distribution network, and distributed power source is utilized particularly under extreme fault condition
The islet operation of part important load can be achieved to improve the reliability of system operation in (distributed generators, DG)
And elasticity.After distribution system breaks down, often weight can be ensured by the cooperation of distributed power source and energy-storage system
Want based model for load duration to power, to reduce impacted user scope, improve the reliability of system.During distribution system islet operation, by
There is very strong randomness in the output of photovoltaic, blower fan distributed power supply, do not consider that the load of power distribution network during above-mentioned factor is extensive
Rehydration is flat often relatively low.Energy storage technology is that solve the important hand that the renewable power supplies such as high permeability distributed photovoltaic efficiently utilize
Section.Energy-storage system (energy storage system, ESS) can be reduced effectively by its transfer to energy in time
Contributed due to distributed power source is influenceed caused by intermittent and randomness, the running status for one-step optimization distribution system of going forward side by side.
In the case of distribution system failure, by the cooperation of distributed power source and energy-storage system, ensure important load continued power,
Impacted user scope is reduced, is played an important roll to the reliability for improving system.
Intelligent Sofe Switch (soft open point, SOP) is that a kind of novel intelligent for substituting traditional interconnection switch matches somebody with somebody Denso
Put, the application of intelligent Sofe Switch will be greatly enhanced flexibility and the controllability of distribution system operation, and this has been learned both at home and abroad
Person has carried out Primary Study, but participates in power distribution network islet operation to intelligent Sofe Switch, especially considers multi-period load restoration
During the effect that plays but shorter mention.Compared with interconnection switch, the Power Control of intelligent Sofe Switch is more safe and reliable, can
To realize continuously adjusting for power, while avoid the potential safety hazard that switching manipulation may be brought.During islet operation, intelligence
Energy Sofe Switch can provide effective voltage support, so as to improve load restoration level.
As distributed power source permeability improves constantly, load restoration power supply is carried out also by often using islet operation pattern
State.Intelligent Sofe Switch controlling cycle is short, quick action, power adjusting ability are strong, during distribution system islet operation
It will play a positive role.Therefore, it is badly in need of a kind of multi-period islet operation strategy of active power distribution network for considering intelligent Sofe Switch, uses
To solve the problems, such as operation reserve of the intelligent Sofe Switch during active power distribution network isolated island.
The content of the invention
The technical problem to be solved by the invention is to provide a kind of access that can take into full account intelligent Sofe Switch to distribution
The multi-period islet operation method of active power distribution network for the intelligent Sofe Switch of consideration that system islet operation influences.
The technical solution adopted in the present invention is：A kind of multi-period islet operation of active power distribution network for considering intelligent Sofe Switch
Method, comprise the following steps：
1) according to selected distribution system, incoming line parameter, load level, network topology annexation, system load flow
And safe operation constraint, controllable and uncontrollable distributed power source on-position and capacity, energy-storage system on-position and capacity, intelligence
The operation curve of energy Sofe Switch on-position, capacity and loss factor, load and uncontrollable distributed power source, system failure position
With the isolated island duration, reference voltage and reference power initial value；
2) the distribution system structure and parameter provided according to step 1), establishes the multi-period islet operation mould of active power distribution network
Type, including：The difference of setting distribution system service restoration burden with power and system loss is up to object function, considers system radiation respectively
Shape constraint, controllable and uncontrollable distributed power source operation constraint, energy-storage system run constraint, intelligent Sofe Switch operation constraint, are
Trend of uniting and safe operation constraint；
3) according to the canonical form of cone planning to mesh in the multi-period islet operation model of active power distribution network described in step 2)
Scalar functions and Nonlinear Constraints are linearized, second order cone model conversation and rotating cone model conversation, obtain active distribution
Net the Second-order cone programming model of multi-period islet operation；
4) the Second-order cone programming model that step 3) obtains is solved using cone Programming, obtained：Each node
Recover load coefficient, controllable and uncontrollable distributed power source power output and control model, energy-storage system charge-discharge electric power and
The transimission power of state-of-charge, intelligent Sofe Switch；
5) solving result of step 4) is exported.
The difference of distribution system service restoration burden with power and system loss described in step 2) is up to object function and is expressed as：
In formula, ΩtFor the set of distribution system islet operation time；ΩnFor the set of all nodes of distribution system；ΩbTable
Show the set of all branch roads of distribution system；λiFor the recovery coefficient of load in node i, λi∈ { 0,1 }, λi=1 represents in node i
Load restoration, λiLoad does not recover in=0 expression node i；For the burden with power in t period node is；RijFor branch road ij
Resistance, It,ijNode j current amplitude is flowed to for t period node is；The fortune of energy-storage system is housed for t periods node i
Row loss,The running wastage of intelligent Sofe Switch is housed for t periods node i.
Uncontrollable distributed power source described in step 2) runs constraint representation：
In formula,The active power and nothing of uncontrollable distributed power source injection respectively in t period node is
Work(power；For the active power output upper limit of uncontrollable distributed power source in t period node is, i.e., uncontrollable distributed electrical
The output in source can be cut down；Represent the capacity of uncontrollable distributed power source in node i；To be distributed in node i
Formula power supply allows the minimum power factor of operation.
Controlled distribution formula power supply described in step 2) runs constraint representation：
In formula,The active power and idle that controlled distribution formula power supply injects respectively in t period node is
Power；For the active power output bound of controlled distribution formula power supply in node i；Represent in node i
The capacity of controlled distribution formula power supply.
Energy-storage system described in step 2) runs constraint representation：
In formula,For the charge-discharge electric power of energy-storage system in t period node is, wherein discharge power is just charge power
It is negative；The reactive power injected for energy-storage system in t period node is；For the capacity of energy-storage system in node i；For the reactive power upper limit of energy-storage system in node i；For the lotus of energy-storage system in t period initial time node is
Electricity condition；Δ t is optimization material calculation；For the loss of energy-storage system in t period node is；For energy storage in node i
The loss factor of system；WithThe bound of energy-storage system state-of-charge respectively in node i.
Intelligent Sofe Switch described in step 2) runs constraint representation
In formula,Respectively the t periods are connected on node i, intelligent Sofe Switch injection on j
Active power and reactive power；WithFor the loss factor of intelligent Sofe Switch；WithThe respectively t periods
It is connected on the transverter loss of node i, j；WithRespectively it is connected on node i, j transverter capacity.
Described in step 3) linearize, second order cone model conversation and rotating cone model conversation are：
(1) new variables u is defined respectivelyt,iInstead of square of node voltage amplitudeit,ijInstead of the flat of branch current magnitudes
SideObject function and Nonlinear Constraints are linearized；
(2) system load flow constraint formula is first subjected to variable replacement, then carries out second order cone relaxation；
(3) by controllable and uncontrollable distributed power source capacity-constrained, energy storage system capacity constraint, intelligent Sofe Switch capacity about
Shu Jinhang rotating cones convert.
The multi-period islet operation method of active power distribution network of the intelligent Sofe Switch of consideration of the present invention, matches somebody with somebody based on solution is active
Power network islet operation problem, influence of the access of intelligent Sofe Switch to distribution system islet operation is taken into full account, counted and its to being
The supporting role for voltage magnitude and the frequency of uniting, the Second-order cone programming model of the multi-period islet operation of active power distribution network is established, it is comprehensive
Consider controllable and uncontrollable distributed power source operation constraint, energy-storage system operation constraint, intelligent Sofe Switch operation constraint, power distribution system
System safety and operation constraint, existing cone programming evaluation instrument MOSEK, CPLEX can be used to be solved, obtain considering that intelligence soft is opened
The multi-period islet operation strategy of active power distribution network of pass.
Brief description of the drawings
Fig. 1 is the flow chart for the multi-period islet operation method of active power distribution network that the present invention considers intelligent Sofe Switch；
Fig. 2 is improved IEEE33 nodes example structure chart；
Fig. 3 is photovoltaic system and load operation curve map；
Fig. 4 is the islet operation structure chart of scheme 1；
Fig. 5 is the islet operation structure chart of scheme 2；
Fig. 6 is the islet operation structure chart of scheme 3；
Fig. 7 a are the energy-storage system day part charge power values of scheme 2；
Fig. 7 b are the energy-storage system day part discharge power values of scheme 3；
Fig. 8 a are the energy-storage system state-of-charges of scheme 2；
Fig. 8 b are the energy-storage system state-of-charges of scheme 3；
Fig. 9 a are the active power values of the intelligent Sofe Switch SOP1 transmission of scheme 3；
Fig. 9 b are the active power values of the intelligent Sofe Switch SOP2 transmission of scheme 3；
Figure 10 a are the reactive power values that the intelligent Sofe Switch SOP1 of scheme 3 is sent；
Figure 10 b are the reactive power values that the intelligent Sofe Switch SOP2 of scheme 3 is sent.
Embodiment
The active power distribution network of intelligent Sofe Switch is considered of the invention being described in detail with reference to embodiment and accompanying drawing
Multi-period islet operation method.
The multi-period islet operation method of active power distribution network of the intelligent Sofe Switch of consideration of the present invention, comprises the following steps：
1) according to selected distribution system, incoming line parameter, load level, network topology annexation, system load flow
And safe operation constraint, controllable and uncontrollable distributed power source on-position and capacity, energy-storage system on-position and capacity, intelligence
The operation curve of energy Sofe Switch on-position, capacity and loss factor, load and uncontrollable distributed power source, system failure position
With the isolated island duration, reference voltage and reference power initial value；
2) the distribution system structure and parameter provided according to step 1), establishes the multi-period islet operation mould of active power distribution network
Type, including：The difference of setting distribution system service restoration burden with power and system loss is up to object function, considers system radiation respectively
Shape constraint, controllable and uncontrollable distributed power source operation constraint, energy-storage system run constraint, intelligent Sofe Switch operation constraint, are
Trend of uniting and safe operation constraint；Wherein
(1) difference of distribution system service restoration burden with power and system loss described in is up to object function and is expressed as
In formula, ΩtFor the set of distribution system islet operation time；ΩnFor the set of all nodes of distribution system；ΩbTable
Show the set of all branch roads of distribution system；λiFor the recovery coefficient of load in node i, λi∈ { 0,1 }, λi=1 represents in node i
Load restoration, λiLoad does not recover in=0 expression node i；For the burden with power in t period node is；RijFor branch road ij
Resistance, It,ijNode j current amplitude is flowed to for t period node is；The fortune of energy-storage system is housed for t periods node i
Row loss,The running wastage of intelligent Sofe Switch is housed for t periods node i.
(2) the radial constraint representation of system described in is
αij=βij+βji,ij∈Ωb (2)
αij∈{0,1} (5)
0,βij≤1,
In formula, ΩbRepresent the set of all branch roads of distribution system；ΩsWhen representing distribution system islet operation, isolated island is supported
The node set of voltage and frequency；αijRepresent branch road ij upper switch cut-offs state, αij=1 represents switch closure, αij=0 table
Show and switch off；βijRepresent node i and node j relation, βij=1 expression node j is the father node of node i, otherwise βij=0.
The control model of controlled distribution formula power supply and intelligent Sofe Switch can be carried out simultaneously by the radial constraint of system
Selection：When the controlled distribution formula power supply in node i or intelligent Sofe Switch meet formulaWhen, choose PQ controlling parties
Formula；When the controlled distribution formula power supply in node i or intelligent Sofe Switch meet formulaWhen, choose V/f control modes.
(3) the uncontrollable distributed power source described in runs constraint representation
In formula,The active power and nothing of uncontrollable distributed power source injection respectively in t period node is
Work(power；For the active power output upper limit of uncontrollable distributed power source in t period node is, i.e., uncontrollable distributed electrical
The output in source can be cut down；Represent the capacity of uncontrollable distributed power source in node i；To be distributed in node i
Formula power supply allows the minimum power factor of operation.
(4) the controlled distribution formula power supply described in runs constraint representation
In formula,The active power and idle that controlled distribution formula power supply injects respectively in t period node is
Power；For the active power output bound of controlled distribution formula power supply in node i；Represent in node i
The capacity of controlled distribution formula power supply.
(5) energy-storage system described in runs constraint representation
In formula,For the charge-discharge electric power of energy-storage system in t period node is, wherein discharge power is just charge power
It is negative；The reactive power injected for energy-storage system in t period node is；For the capacity of energy-storage system in node i；For the reactive power upper limit of energy-storage system in node i；For the lotus of energy-storage system in t period initial time node is
Electricity condition；Δ t is optimization material calculation；For the loss of energy-storage system in t period node is；For energy storage in node i
The loss factor of system；WithThe bound of energy-storage system state-of-charge respectively in node i.
(6) the intelligent Sofe Switch described in runs constraint representation
In formula,Respectively the t periods are connected on node i, intelligent Sofe Switch injection on j
Active power and reactive power；WithFor the loss factor of intelligent Sofe Switch；WithThe respectively t periods
It is connected on the transverter loss of node i, j；WithRespectively it is connected on node i, j transverter capacity.
(7) the system load flow constraint representation described in is
In formula, It,ijNode j current amplitude is flowed to for t period node is；Ut,iFor the voltage magnitude of t period node is；Rij
For branch road ij resistance, XijFor branch road ij reactance；Pt,ij、Qt,ijThe active power that is respectively flowed through on t period branch roads ij and
Reactive power；Pt,i、Qt,iThe active power and reactive power sum respectively injected in t period node is；
The active power and reactive power that load consumes respectively in t period node is.
Active distribution system islet operation needs to change original network topology knot by cut-offfing for segmentation/interconnection switch more
Structure, the method for operation is adjusted, therefore, branch breaking quantity of state α need to be introducedij, by expression formula (27) be converted into expression formula (29)~
(33)。
-Mαij≤Pt,ij≤Mαij (29)
-Mαij≤Qt,ij≤Mαij (30)
In formula, M represents a great constant.For the branch road of a disconnection, αij=0, according to expression formula (29)~
(31) understand, Pt,ij=Qt,ij=It,ij=0, while meet expression formula (32) and expression formula (33).Work as αijWhen=1, the branch is represented
Road upper switch closure, expression formula (32) and expression formula (33) are equivalent to expression formula (27).
(8) the system safety operation constraint representation described in is
In formula,WithThe respectively bound of node i voltage magnitude；It is the upper of branch road ij current amplitude
Limit.
Expression formula (1)~(35) are the multi-period islet operation model of active power distribution network for considering intelligent Sofe Switch.
3) according to the canonical form of cone planning to mesh in the multi-period islet operation model of active power distribution network described in step 2)
Scalar functions and Nonlinear Constraints are linearized, second order cone model conversation and rotating cone model conversation, obtain active distribution
Net the Second-order cone programming model of multi-period islet operation；It is described linearize, second order cone model conversation and rotation Based On The Conic Model
Conversion is：
(1) new variables u is defined respectivelytiInstead of square of node voltage amplitudeit,ijInstead of the flat of branch current magnitudes
SideBy object function and Nonlinear Constraints expression formula (1), (23), (24), (31)~(35) linearisation, expressed
Formula (36)~(43)；
0≤it,ij≤Mαij (39)
(2) system load flow constraint expression formula (28) progress variable replacement is obtained into expression formula (44), then carries out second order cone pine
Relax, obtain expression formula (45)：
||[2Pt,ij 2Qt,ij it,ij-ut,i]T||2≤it,ij+ut,i (45)
(3) controllable and uncontrollable distributed power source capacity-constrained expression formula (9) and expression formula (12), energy-storage system are run
Constraint expression formula (13) and expression formula (15), intelligent Sofe Switch operation constraint expression formula (19)~(22) carry out rotating cone conversion,
Obtain expression formula (46)~(53)：
By above-mentioned conversion, expression formula (2)~(8), (10), (11), (14), (16)~(18), (25), (26), (29),
(30), (36)~(43), the Second-order cone programming model of (45)~(53) composition multi-period islet operation of active power distribution network.
4) the Second-order cone programming model that step 3) obtains is solved using cone Programming, obtained：Each node
Recover load coefficient, controllable and uncontrollable distributed power source power output and control model, energy-storage system charge-discharge electric power and
The transimission power of state-of-charge, intelligent Sofe Switch；
5) solving result of step 4) is exported.
Specific embodiment is given below：
For the present embodiment, input the impedance value of circuit element in the node systems of IEEE 33 first, load cell it is active
Power, reactive power, network topology annexation, example structure is as shown in Fig. 2 detail parameters are shown in Tables 1 and 2；Node 13,
20th, 23,30 4 groups of controlled distribution formula power supplys of access, capacity are 400kVA, and minimum power factor is 0.9；Node 5,8,17,
27th, 33 5 groups of uncontrollable distributed power sources of access, choose photovoltaic generating system in the present embodiment, and capacity is 300kVA, least work
Rate factor is 0.9；Energy-storage system on-position and parameter are shown in Table 3；Two groups of intelligence Sofe Switch SOP access test examples are set, are taken
For interconnection switch TS1 and TS3, capacity 1000kVA, loss factor is 0.02, it is specified that being delivered to the work(of AC from DC side
Rate direction is positive direction；The operation curve of photovoltaic generating system and load is as shown in Figure 3；It is assumed that branch road 1-2 is in 6：00 occurs forever
Long property three-phase fault, after Fault Isolation, node 2-33 institutes on-load whole dead electricity, islet operation 4 hours；Last set system
Reference voltage be 12.66kV, reference power 1MVA.For the advance of fully checking the inventive method, following three kinds are taken
Scheme is analyzed：
Scheme 1：Active power distribution network islet operation is carried out only with distributed power source；
Scheme 2：Active power distribution network islet operation is carried out using distributed power source and energy storage；
Scheme 3：Active power distribution network islet operation (present invention side is carried out using distributed power source, energy storage and intelligent Sofe Switch
Method).
The optimum results of embodiment are shown in Table 4, and each scheme isolated island division result is shown in Fig. 4~Fig. 6, energy-storage system charge-discharge electric power
See Fig. 7 a, Fig. 7 b and Fig. 8 a and Fig. 8 b with SOC, the transimission power of intelligent Sofe Switch see Fig. 9 a, Fig. 9 b and Figure 10 a and
Figure 10 b.
It is Intel (R) Xeon (R) CPU E5-1620 to perform the computer hardware environment that optimization calculates, and dominant frequency is
3.70GHz, inside save as 32GB；Software environment is the operating systems of Windows 10.
Contrast scheme 1,2,3 can be seen that the active power distribution network islet operation that intelligent Sofe Switch participates in consideration source storage lotus, by
In its flexible voltage and power control capabilities, the coordinated scheme of Optimum distribution formula power supply, energy storage and load, will be obviously improved
Source distribution network load recovers horizontal, so as to General Promotion distribution system power supply reliability.
Table 1IEEE33 nodes example load on-position and power
Table 2IEEE33 node example line parameter circuit values
The energy-storage system configuring condition of table 3
The different schemes islet operation result of table 4
Claims (7)
- A kind of 1. multi-period islet operation method of active power distribution network for considering intelligent Sofe Switch, it is characterised in that including following step Suddenly：1) according to selected distribution system, incoming line parameter, load level, network topology annexation, system load flow and peace Row constraint for the national games, controllable and uncontrollable distributed power source on-position and capacity, energy-storage system on-position and capacity, intelligence are soft Switch the operation curve of on-position, capacity and loss factor, load and uncontrollable distributed power source, system failure position and orphan Island duration, reference voltage and reference power initial value；2) the distribution system structure and parameter provided according to step 1), establishes the multi-period islet operation model of active power distribution network, wraps Include：The difference of setting distribution system service restoration burden with power and system loss is up to object function, considers that system is radial about respectively Beam, controllable and uncontrollable distributed power source operation constraint, energy-storage system operation constraint, intelligent Sofe Switch operation constraint, system tide Stream and safe operation constraint；3) according to the canonical form of cone planning to target letter in the multi-period islet operation model of active power distribution network described in step 2) Number and Nonlinear Constraints are linearized, second order cone model conversation and rotating cone model conversation, and it is more to obtain active power distribution network The Second-order cone programming model of period islet operation；4) the Second-order cone programming model that step 3) obtains is solved using cone Programming, obtained：Each node recovers Load coefficient, the power output of controllable and uncontrollable distributed power source and control model, energy-storage system charge-discharge electric power and charged The transimission power of state, intelligent Sofe Switch；5) solving result of step 4) is exported.
- 2. the active power distribution network multi-period islet operation method according to claim 1 for considering intelligent Sofe Switch, its feature It is, the difference of distribution system service restoration burden with power and system loss described in step 2) is up to object function and is expressed as：<mrow> <mi>f</mi> <mo>=</mo> <mi>max</mi> <msub> <mo>&Sigma;</mo> <mrow> <mi>t</mi> <mo>&Element;</mo> <msub> <mi>&Omega;</mi> <mi>t</mi> </msub> </mrow> </msub> <mo>{</mo> <msub> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>&Element;</mo> <msub> <mi>&Omega;</mi> <mi>n</mi> </msub> </mrow> </msub> <msub> <mi>&lambda;</mi> <mi>i</mi> </msub> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>L</mi> <mi>O</mi> <mi>A</mi> <mi>D</mi> </mrow> </msubsup> <mo>-</mo> <mo>&lsqb;</mo> <msub> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mi>j</mi> <mo>&Element;</mo> <msub> <mi>&Omega;</mi> <mi>b</mi> </msub> </mrow> </msub> <msub> <mi>R</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <msubsup> <mi>I</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> <mi>j</mi> </mrow> <mn>2</mn> </msubsup> <mo>+</mo> <msub> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>&Element;</mo> <msub> <mi>&Omega;</mi> <mi>n</mi> </msub> </mrow> </msub> <mrow> <mo>(</mo> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>E</mi> <mi>S</mi> <mi>S</mi> <mo>,</mo> <mi>L</mi> </mrow> </msubsup> <mo>+</mo> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>S</mi> <mi>O</mi> <mi>P</mi> <mo>,</mo> <mi>L</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mo>&rsqb;</mo> <mo>}</mo> </mrow>In formula, ΩtFor the set of distribution system islet operation time；ΩnFor the set of all nodes of distribution system；ΩbExpression is matched somebody with somebody The set of all branch roads of electric system；λiFor the recovery coefficient of load in node i, λi∈ { 0,1 }, λi=1 represents load in node i Recover, λiLoad does not recover in=0 expression node i；For the burden with power in t period node is；RijFor branch road ij electricity Resistance, IT, ijNode j current amplitude is flowed to for t period node is；Damaged for operation of the t periods node i equipped with energy-storage system Consumption,The running wastage of intelligent Sofe Switch is housed for t periods node i.
- 3. the active power distribution network multi-period islet operation method according to claim 1 for considering intelligent Sofe Switch, its feature It is, the uncontrollable distributed power source operation constraint representation described in step 2) is：<mfenced open = "" close = ""> <mtable> <mtr> <mtd> <mrow> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>N</mi> <mi>D</mi> <mi>G</mi> </mrow> </msubsup> <mo>&le;</mo> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>N</mi> <mi>D</mi> <mi>G</mi> <mo>,</mo> <mi>max</mi> </mrow> </msubsup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>-</mo> <mfrac> <mrow> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>N</mi> <mi>D</mi> <mi>G</mi> </mrow> </msubsup> <msqrt> <mrow> <mn>1</mn> <mo>-</mo> <msup> <mrow> <mo>(</mo> <msubsup> <mi>&kappa;</mi> <mi>i</mi> <mi>min</mi> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msqrt> </mrow> <msubsup> <mi>&kappa;</mi> <mi>i</mi> <mi>min</mi> </msubsup> </mfrac> <mo>&le;</mo> <msubsup> <mi>Q</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>N</mi> <mi>D</mi> <mi>G</mi> </mrow> </msubsup> <mo>&le;</mo> <mfrac> <mrow> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>N</mi> <mi>D</mi> <mi>G</mi> </mrow> </msubsup> <msqrt> <mrow> <mn>1</mn> <mo>-</mo> <msup> <mrow> <mo>(</mo> <msubsup> <mi>&kappa;</mi> <mi>i</mi> <mi>min</mi> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msqrt> </mrow> <msubsup> <mi>&kappa;</mi> <mi>i</mi> <mi>min</mi> </msubsup> </mfrac> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msqrt> <mrow> <msup> <mrow> <mo>(</mo> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>N</mi> <mi>D</mi> <mi>G</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msubsup> <mi>Q</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>N</mi> <mi>D</mi> <mi>G</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msqrt> <mo>&le;</mo> <msubsup> <mi>S</mi> <mi>i</mi> <mrow> <mi>N</mi> <mi>D</mi> <mi>G</mi> </mrow> </msubsup> </mrow> </mtd> </mtr> </mtable> </mfenced>In formula,The active power of uncontrollable distributed power source injection and idle work(respectively in t period node is Rate；For the active power output upper limit of uncontrollable distributed power source in t period node is, i.e., uncontrollable distributed power source Output can be cut down；Represent the capacity of uncontrollable distributed power source in node i；For distributed electrical in node i Source allows the minimum power factor of operation.
- 4. the active power distribution network multi-period islet operation method according to claim 1 for considering intelligent Sofe Switch, its feature It is, the controlled distribution formula power supply operation constraint representation described in step 2) is：<mfenced open = "" close = ""> <mtable> <mtr> <mtd> <mrow> <msubsup> <mi>P</mi> <mi>i</mi> <mrow> <mi>C</mi> <mi>D</mi> <mi>G</mi> <mo>,</mo> <mi>min</mi> </mrow> </msubsup> <mo>&le;</mo> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>C</mi> <mi>D</mi> <mi>G</mi> </mrow> </msubsup> <mo>&le;</mo> <msubsup> <mi>P</mi> <mi>i</mi> <mrow> <mi>C</mi> <mi>D</mi> <mi>G</mi> <mo>,</mo> <mi>max</mi> </mrow> </msubsup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>-</mo> <mfrac> <mrow> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>C</mi> <mi>D</mi> <mi>G</mi> </mrow> </msubsup> <msqrt> <mrow> <mn>1</mn> <mo>-</mo> <msup> <mrow> <mo>(</mo> <msubsup> <mi>&kappa;</mi> <mi>i</mi> <mi>min</mi> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msqrt> </mrow> <msubsup> <mi>&kappa;</mi> <mi>i</mi> <mi>min</mi> </msubsup> </mfrac> <mo>&le;</mo> <msubsup> <mi>Q</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>C</mi> <mi>D</mi> <mi>G</mi> </mrow> </msubsup> <mo>&le;</mo> <mfrac> <mrow> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>C</mi> <mi>D</mi> <mi>G</mi> </mrow> </msubsup> <msqrt> <mrow> <mn>1</mn> <mo>-</mo> <msup> <mrow> <mo>(</mo> <msubsup> <mi>&kappa;</mi> <mi>i</mi> <mi>min</mi> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msqrt> </mrow> <msubsup> <mi>&kappa;</mi> <mi>i</mi> <mi>min</mi> </msubsup> </mfrac> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msqrt> <mrow> <msup> <mrow> <mo>(</mo> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>C</mi> <mi>D</mi> <mi>G</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msubsup> <mi>Q</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>C</mi> <mi>D</mi> <mi>G</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msqrt> <mo>&le;</mo> <msubsup> <mi>S</mi> <mi>i</mi> <mrow> <mi>C</mi> <mi>D</mi> <mi>G</mi> </mrow> </msubsup> </mrow> </mtd> </mtr> </mtable> </mfenced>In formula,The active power and reactive power that controlled distribution formula power supply injects respectively in t period node is；For the active power output bound of controlled distribution formula power supply in node i；Represent controllable in node i The capacity of distributed power source.
- 5. the active power distribution network multi-period islet operation method according to claim 1 for considering intelligent Sofe Switch, its feature It is, the energy-storage system operation constraint representation described in step 2) is：<mfenced open = "" close = ""> <mtable> <mtr> <mtd> <mrow> <msqrt> <mrow> <msup> <mrow> <mo>(</mo> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>E</mi> <mi>S</mi> <mi>S</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msubsup> <mi>Q</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>E</mi> <mi>S</mi> <mi>S</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msqrt> <mo>&le;</mo> <msubsup> <mi>S</mi> <mi>i</mi> <mrow> <mi>E</mi> <mi>S</mi> <mi>S</mi> </mrow> </msubsup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>-</mo> <msubsup> <mi>Q</mi> <mi>i</mi> <mrow> <mi>E</mi> <mi>S</mi> <mi>S</mi> <mo>,</mo> <mi>max</mi> </mrow> </msubsup> <mo>&le;</mo> <msubsup> <mi>Q</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>E</mi> <mi>S</mi> <mi>S</mi> </mrow> </msubsup> <mo>&le;</mo> <msubsup> <mi>Q</mi> <mi>i</mi> <mrow> <mi>E</mi> <mi>S</mi> <mi>S</mi> <mo>,</mo> <mi>max</mi> </mrow> </msubsup> </mrow> </mtd> </mtr> </mtable> </mfenced><mrow> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>E</mi> <mi>S</mi> <mi>S</mi> <mo>,</mo> <mi>L</mi> </mrow> </msubsup> <mo>=</mo> <msubsup> <mi>A</mi> <mi>i</mi> <mrow> <mi>E</mi> <mi>S</mi> <mi>S</mi> </mrow> </msubsup> <msqrt> <mrow> <msup> <mrow> <mo>(</mo> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>E</mi> <mi>S</mi> <mi>S</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msubsup> <mi>Q</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>E</mi> <mi>S</mi> <mi>S</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msqrt> </mrow><mrow> <msubsup> <mi>E</mi> <mrow> <mi>t</mi> <mo>+</mo> <mi>&Delta;</mi> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>E</mi> <mi>S</mi> <mi>S</mi> </mrow> </msubsup> <mo>=</mo> <msubsup> <mi>E</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>E</mi> <mi>S</mi> <mi>S</mi> </mrow> </msubsup> <mo>-</mo> <mrow> <mo>(</mo> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>E</mi> <mi>S</mi> <mi>S</mi> </mrow> </msubsup> <mo>+</mo> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>E</mi> <mi>S</mi> <mi>S</mi> <mo>,</mo> <mi>L</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mi>&Delta;</mi> <mi>t</mi> </mrow><mrow> <msubsup> <mi>E</mi> <mi>i</mi> <mrow> <mi>E</mi> <mi>S</mi> <mi>S</mi> <mo>,</mo> <mi>m</mi> <mi>i</mi> <mi>n</mi> </mrow> </msubsup> <mo>&le;</mo> <msubsup> <mi>E</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>E</mi> <mi>S</mi> <mi>S</mi> </mrow> </msubsup> <mo>&le;</mo> <msubsup> <mi>E</mi> <mi>i</mi> <mrow> <mi>E</mi> <mi>S</mi> <mi>S</mi> <mo>,</mo> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msubsup> </mrow>In formula,For the charge-discharge electric power of energy-storage system in t period node is, wherein discharge power is just, charge power is negative；The reactive power injected for energy-storage system in t period node is；For the capacity of energy-storage system in node i； For the reactive power upper limit of energy-storage system in node i；For the state-of-charge of energy-storage system in t period initial time node is； Δ t is optimization material calculation；For the loss of energy-storage system in t period node is；For the damage of energy-storage system in node i Consume coefficient；WithThe bound of energy-storage system state-of-charge respectively in node i.
- 6. the active power distribution network multi-period islet operation method according to claim 1 for considering intelligent Sofe Switch, its feature It is, the intelligent Sofe Switch operation constraint representation described in step 2) is<mrow> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>S</mi> <mi>O</mi> <mi>P</mi> </mrow> </msubsup> <mo>+</mo> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>j</mi> </mrow> <mrow> <mi>S</mi> <mi>O</mi> <mi>P</mi> </mrow> </msubsup> <mo>+</mo> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>S</mi> <mi>O</mi> <mi>P</mi> <mo>,</mo> <mi>L</mi> </mrow> </msubsup> <mo>+</mo> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>j</mi> </mrow> <mrow> <mi>S</mi> <mi>O</mi> <mi>P</mi> <mo>,</mo> <mi>L</mi> </mrow> </msubsup> <mo>=</mo> <mn>0</mn> </mrow><mrow> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>S</mi> <mi>O</mi> <mi>P</mi> <mo>,</mo> <mi>L</mi> </mrow> </msubsup> <mo>=</mo> <msubsup> <mi>A</mi> <mi>i</mi> <mrow> <mi>S</mi> <mi>O</mi> <mi>P</mi> </mrow> </msubsup> <msqrt> <mrow> <msup> <mrow> <mo>(</mo> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>S</mi> <mi>O</mi> <mi>P</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msubsup> <mi>Q</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>S</mi> <mi>O</mi> <mi>P</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msqrt> </mrow><mrow> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>j</mi> </mrow> <mrow> <mi>S</mi> <mi>O</mi> <mi>P</mi> <mo>,</mo> <mi>L</mi> </mrow> </msubsup> <mo>=</mo> <msubsup> <mi>A</mi> <mi>j</mi> <mrow> <mi>S</mi> <mi>O</mi> <mi>P</mi> </mrow> </msubsup> <msqrt> <mrow> <msup> <mrow> <mo>(</mo> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>j</mi> </mrow> <mrow> <mi>S</mi> <mi>O</mi> <mi>P</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msubsup> <mi>Q</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>j</mi> </mrow> <mrow> <mi>S</mi> <mi>O</mi> <mi>P</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msqrt> </mrow><mrow> <msqrt> <mrow> <msup> <mrow> <mo>(</mo> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>S</mi> <mi>O</mi> <mi>P</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msubsup> <mi>Q</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>i</mi> </mrow> <mrow> <mi>S</mi> <mi>O</mi> <mi>P</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msqrt> <mo>&le;</mo> <msubsup> <mi>S</mi> <mi>i</mi> <mrow> <mi>S</mi> <mi>O</mi> <mi>P</mi> </mrow> </msubsup> </mrow><mrow> <msqrt> <mrow> <msup> <mrow> <mo>(</mo> <msubsup> <mi>P</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>j</mi> </mrow> <mrow> <mi>S</mi> <mi>O</mi> <mi>P</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msubsup> <mi>Q</mi> <mrow> <mi>t</mi> <mo>,</mo> <mi>j</mi> </mrow> <mrow> <mi>S</mi> <mi>O</mi> <mi>P</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msqrt> <mo>&le;</mo> <msubsup> <mi>S</mi> <mi>j</mi> <mrow> <mi>S</mi> <mi>O</mi> <mi>P</mi> </mrow> </msubsup> </mrow>In formula,Respectively the t periods be connected on node i, intelligent Sofe Switch injection on j it is active Power and reactive power；WithFor the loss factor of intelligent Sofe Switch；WithRespectively the t periods are connected on The transverter loss of node i, j；WithRespectively it is connected on node i, j transverter capacity.
- 7. the active power distribution network multi-period islet operation method according to claim 1 for considering intelligent Sofe Switch, its feature Be, described in step 3) linearize, second order cone model conversation and rotating cone model conversation are：(1) new variables u is defined respectivelyT, iInstead of square of node voltage amplitudeInstead of square of branch current magnitudesObject function and Nonlinear Constraints are linearized；(2) system load flow constraint formula is first subjected to variable replacement, then carries out second order cone relaxation；(3) controllable and uncontrollable distributed power source capacity-constrained, energy storage system capacity constraint, intelligent Sofe Switch capacity-constrained are entered Row rotating cone converts.
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| CN108509742A (en) * | 2018-04-10 | 2018-09-07 | 南京大学 | A kind of charging schedule method in the wireless chargeable sensor network of Robust Secure |
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| CN108509742B (en) * | 2018-04-10 | 2021-03-02 | 南京大学 | Robust and safe charging scheduling method in wireless chargeable sensor network |
| CN108509742A (en) * | 2018-04-10 | 2018-09-07 | 南京大学 | A kind of charging schedule method in the wireless chargeable sensor network of Robust Secure |
| CN110783911A (en) * | 2018-07-31 | 2020-02-11 | 上海交通大学 | Soft intelligent switch configuration method and system for medium and low voltage distribution network |
| CN110783911B (en) * | 2018-07-31 | 2021-04-02 | 上海交通大学 | Soft intelligent switch configuration method and system for medium and low voltage distribution network |
| CN109149586A (en) * | 2018-09-13 | 2019-01-04 | 国网天津市电力公司电力科学研究院 | Active power distribution network subregion distributing voltage control method towards intelligent Sofe Switch |
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| CN111951126A (en) * | 2020-08-14 | 2020-11-17 | 天津大学 | Multi-stage power supply recovery method for active power distribution network with flexible multi-state switch |
| CN112598159B (en) * | 2020-12-02 | 2022-04-19 | 广西大学 | Island fusion recovery method based on multi-source network reconstruction |
| CN112598159A (en) * | 2020-12-02 | 2021-04-02 | 广西大学 | Island fusion recovery method based on multi-source network reconstruction |
| CN112994063B (en) * | 2021-04-29 | 2022-11-01 | 重庆大学 | Power distribution network optimized operation method based on energy storage ordered charging and intelligent soft switch control model |
| CN112994063A (en) * | 2021-04-29 | 2021-06-18 | 重庆大学 | Power distribution network optimized operation method based on energy storage ordered charging and intelligent soft switch control model |
| CN114006371A (en) * | 2021-10-28 | 2022-02-01 | 国网天津市电力公司 | Flexible power distribution network electric energy transaction method and device oriented to intelligent energy storage soft switch |
| CN114006371B (en) * | 2021-10-28 | 2023-06-13 | 国网天津市电力公司 | Flexible power distribution network electric energy transaction method and device for intelligent energy storage soft switch |
| CN116780638A (en) * | 2023-08-22 | 2023-09-19 | 国网天津市电力公司城南供电分公司 | Snowflake power distribution network operation optimization method and device with soft switch and distributed energy storage |
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