CN107451743A - A kind of active power distribution network islet operation method of consideration source lotus operation characteristic - Google Patents

A kind of active power distribution network islet operation method of consideration source lotus operation characteristic Download PDF

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CN107451743A
CN107451743A CN201710664652.9A CN201710664652A CN107451743A CN 107451743 A CN107451743 A CN 107451743A CN 201710664652 A CN201710664652 A CN 201710664652A CN 107451743 A CN107451743 A CN 107451743A
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王成山
刘家恺
李鹏
宋关羽
赵金利
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Tianjin University
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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
    • 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
    • H02J3/04—Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
    • H02J3/06—Controlling transfer of power between connected networks; Controlling sharing of load between connected networks
    • 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

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Abstract

A kind of active power distribution network islet operation method of consideration source lotus operation characteristic：According to selected distribution system, distribution system structure and parameter are inputted；The mathematical modeling of the active power distribution network islet operation problem of consideration source lotus operation characteristic is established, including：The burden with power amount for being set in distribution system service restoration in fault time is up to object function, considers isolated island main power source unique constraints, system load flow constraint, working voltage constraint, branch current constraint, uncontrollable distributed power source operation constraint and the operation constraint of controlled distribution formula power supply respectively；Obtained mathematical modeling is solved to obtain using prim al- dual interior point m ethod：Target function value, each node voltage amplitude, each node load recovery coefficient, the operation reserve of distributed power source and block switch cut-off state；Export solving result.The present invention establishes a kind of active power distribution network isolated island partitioning model of consideration source lotus operation characteristic, and its mathematics essence is non-linear programming problem, is solved using prim al- dual interior point m ethod, obtains service restoration scheme.

Description

A kind of active power distribution network islet operation method of consideration source lotus operation characteristic
Technical field
The present invention relates to a kind of active power distribution network islet operation strategy.More particularly to a kind of consideration source lotus operation characteristic Active power distribution network islet operation method.
Background technology
Self-healing function construction in intelligent grid by be intelligent grid system construction the ring of key one.Wherein, distribution is utilized Formula power supply realizes the division of electric power isolated island with operating to one of key technology in self-healing control.Power distribution network is direct as power system A user oriented ring, the closest with contacting for user, the influence to user is the most direct.For power distribution network, due to The permeability of distributed power source (distributed generator, DG) is more and more stronger, occurs in transmission system or distribution system , can be by being formed with can because part DG has the ability of actively regulation in the case that failure causes the comprehensive dead electricity of distribution system Control DG recovers the power supply of a part of important load for the power distribution network electric power islet operation of power supply, substantially increases the confession of power distribution network Electric reliability.
A kind of emergency mode that active power distribution network islet operation is handled as electric network fault, system confession can be obviously improved The reliability and security of electricity.Power distribution network is directly connected with user, the target of its islet operation be distribution network failure safety every From rear, the preferential recovery of important load guarantee in dead electricity region, and recover other insignificant loads as far as possible, recover so as to realize Power supply Income Maximum, is a problem urgently to be resolved hurrily for intelligent distribution network.
Generally in large scale containing the grid-connected active power distribution network of a large amount of regenerative resources, connection type is extremely complex, While realizing optimal energy source and distribution, also contain the hidden danger of major accident generation.When major accident occurs, how Optimal electric power isolated island is fast and effeciently determined, realizes Fault Isolation, reduces power failure range as far as possible, play has independently as far as possible The effect of the distributed power source of generating capacity is to improve power supply reliability.
On the basis of a certain moment that power distribution network breaks down, using DG power output and load condition as determination amount, Static isolated island search division is carried out as benchmark, but when the intermittent power supplys such as photovoltaic, wind-powered electricity generation in active power distribution network be present, its Static isolated island partition strategy is not only difficult to ensure power-balance during whole islet operation, does not also account in fault time such as What adjusts isolated island scope to ensure the continual and steady power supply of responsible consumer.
In view of the above-mentioned problems, considering the sequential operation characteristic that distributed power source is contributed with load, ensure to greatest extent The continual and steady operation of important load in active power distribution network.Difference at the time of being broken down according to power distribution network, and failure continue Time is different, obtains different isolated island partition strategies, to ensure that it is maximum that system recovers load.
Current existing power distribution network isolated island division methods are more on the basis of a certain moment that power distribution network breaks down, by DG's Power output and load condition carry out static isolated island search division, above-mentioned work have ignored event as determination amount as benchmark Correlation between moment and source lotus operation characteristic occurs for barrier, and its result is relatively conservative.Therefore, it is necessary to which a kind of consideration source lotus runs The active power distribution network islet operation strategy of characteristic, after solving failure generation, when being continued according to break down moment and failure Between difference, obtain the method for different isolated island partition strategies.
The content of the invention
The technical problem to be solved by the invention is to provide a kind of active distribution by establishing consideration source lotus operation characteristic Net isolated island partitioning model, consider the active power distribution network islet operation of the consideration source lotus operation characteristic of a variety of safe operation constraints Method.
The technical solution adopted in the present invention is：The technical solution adopted in the present invention is：A kind of lotus operation of consideration source is special The active power distribution network islet operation method of property, comprises the following steps：
1) according to selected distribution system, incoming line parameter, load level, network topology annexation, system operation Voltage level and branch current limitation, controllable and uncontrollable distributed power source on-position, capacity and maximum power factor angle, bear Lotus and uncontrollable distributed power source operation curve, system failure moment and duration, the initial value such as reference voltage and reference power；
2) mathematical modeling of the active power distribution network islet operation problem of consideration source lotus operation characteristic is established, including：It is set in The burden with power amount of distribution system service restoration is up to object function in fault time, considers isolated island main power source uniqueness about respectively Beam, system load flow constraint, working voltage constraint, branch current constraint, uncontrollable distributed power source operation constraint and controlled distribution The operation constraint of formula power supply；
3) mathematical modeling for obtaining step 2) is solved to obtain using prim al- dual interior point m ethod：Target function value, each section Point voltage magnitude, each node load recovery coefficient, the operation reserve of distributed power source and block switch cut-off state；
4) solving result of step 3) is exported.
The burden with power amount of distribution system service restoration described in step 2) is up to object function and is expressed as
In formula, NTFor the time of system islet operation；tFFor system jam at the time of；NNFor the nodes in system；For the burden with power in t node i；λiFor the recovery coefficient of load in node i, it is 0-1 variables, works as λi=1 represents The node load recovers, and works as λi=0 represents that the node load does not recover.
Isolated island main power source unique constraints described in step 2), is expressed as
αij=βij+βji,ij∈Ωb
αij∈{0,1}
0≤βij≤1,0≤βji≤1
In formula, ΩbRepresent the set of all branch roads equipped with block switch；NSThe source node of expression system；αijRepresent branch Road ij upper switch cut-offs state, αij=1 represents switch closure, αij=0 represents to switch off；βijRepresent node i and node j Relation, βij=1 expression node j be node i father node, βij=0 expression node j is not the father node of node i；βjiRepresent Node j and node i relation, βji=1 expression node i be node j father node, βji=0 expression node i is not node j father Node；The operation reserve of controlled distribution formula power supply is selected by isolated island main power source unique constraints, when in node i can Control distributed power source meets formulaWhen, the distributed power source in node i chooses PQ control modes；When in node i Controlled distribution formula power supply meet formulaWhen, the distributed power source in node i chooses V/f control modes, meetsThe number of controlled distribution formula power supply be isolated island number in result.
A kind of active power distribution network islet operation method of consideration source lotus operation characteristic of the present invention, match somebody with somebody based on solution is active Isolated island partition problem in power network, take into full account that distributed power source is contributed and load timing, and moment and event occur for failure Hinder influence of the duration to active power distribution network isolated island partition problem, establish a kind of active power distribution network of consideration source lotus operation characteristic Isolated island partitioning model, its mathematics essence is non-linear programming problem, is solved using prim al- dual interior point m ethod, obtains service restoration Scheme.
Brief description of the drawings
Fig. 1 is a kind of flow chart of the active power distribution network islet operation method of consideration source lotus operation characteristic of the present invention；
Fig. 2 is the improved node example structure charts of IEEE 33；
Fig. 3 is the system jam at 0, the schematic diagram of the isolated island division result of 4 hours fault times；
Fig. 4 is the system jam at 8, the schematic diagram of the isolated island division result of 4 hours fault times；
Fig. 5 is load characteristic curve；
Fig. 6 is photovoltaic power curve.
Embodiment
A kind of active power distribution network isolated island of consideration source lotus operation characteristic of the present invention is transported with reference to embodiment and accompanying drawing Row method is described in detail.
The active power distribution network islet operation method of a kind of consideration source lotus operation characteristic of the present invention, as shown in figure 1, including such as Lower step：
1) according to selected distribution system, incoming line parameter, load level, network topology annexation, system operation Voltage level and branch current limitation, controllable and uncontrollable distributed power source on-position, capacity and maximum power factor angle, bear Lotus and uncontrollable distributed power source operation curve, system failure moment and duration, the initial value such as reference voltage and reference power；
For the example of the present invention, the impedance value of circuit element first in the input node systems of IEEE 33, load cell Active power, reactive power, load characteristic curve, distributed electrical source dates, distributed power source operation curve, network topology connection Relation, example structure is as shown in Fig. 2 detail parameters are shown in Table 1, table 2, table 3, Fig. 5 and Fig. 6；In 0 and 8 between setting branch road 1-2 When permanent three-phase fault occurs respectively, fault time continues 4 hours；The reference voltage of initialization system is 12.66kV, benchmark work( Rate is 1MVA.
2) mathematical modeling of the active power distribution network islet operation problem of consideration source lotus operation characteristic is established, including：It is set in The burden with power amount of distribution system service restoration is up to object function in fault time, considers isolated island main power source uniqueness about respectively Beam, system load flow constraint, working voltage constraint, branch current constraint, uncontrollable distributed power source operation constraint and controlled distribution The operation constraint of formula power supply；Wherein,
(1) the burden with power amount of the distribution system service restoration described in is up to object function and is expressed as
In formula, NTFor the time of system islet operation；tFFor system jam at the time of；NNFor the nodes in system；For the burden with power in t node i；λiFor the recovery coefficient of load in node i, it is 0-1 variables, works as λi=1 represents The node load recovers, and works as λi=0 represents that the node load does not recover.
(2) the isolated island main power source unique constraints described in, is expressed as
αij=βij+βji,ij∈Ωb (2)
αij∈{0,1} (5)
0≤βij≤1,0≤βji≤1 (6)
In formula, ΩbRepresent the set of all branch roads equipped with block switch；NSThe source node of expression system；αijRepresent branch Road ij upper switch cut-offs state, αij=1 represents switch closure, αij=0 represents to switch off；βijRepresent node i and node j Relation, βij=1 expression node j be node i father node, βij=0 expression node j is not the father node of node i；βjiRepresent Node j and node i relation, βji=1 expression node i be node j father node, βji=0 expression node i is not node j father Node；The operation reserve of controlled distribution formula power supply is selected by isolated island main power source unique constraints, when in node i can Control distributed power source meets formulaWhen, the distributed power source in node i chooses PQ control modes；When in node i Controlled distribution formula power supply meet formulaWhen, the distributed power source in node i chooses V/f control modes, meetsThe number of controlled distribution formula power supply be isolated island number in result.
(3) trend constraint described in is expressed as
-Mαij≤Pt,ij≤Mαij (14)
-Mαij≤Qt,ij≤Mαij (15)
In formula, rijFor branch road ij resistance, xijFor branch road ij reactance；Pt,ij、Qt,ijRespectively t branch road ij is upper The active power and reactive power crossed；Pt,i、Qt,iThe active power and reactive power sum respectively injected in t node i；The active power and reactive power of load respectively in t node i；Respectively For controllable active power and reactive power with the injection of uncontrollable distributed power source in t node i；Parameter M represents a pole Big constant, generally takes 9999.
(4) the working voltage constraint representation described in is
In formula,WithThe respectively voltage bound of node i.
(5) the branch current constraint representation described in is
In formula,For branch road ij upper current limit.
(6) the uncontrollable distributed power source described in runs constraint representation
In formula,The upper limit of the active power output of uncontrollable distributed power source is connect by t node i；Represent Node i connects the capacity of uncontrollable distributed power source；For the maximum power factor of the operation of distributed power source in node i Angle.
(7) the controlled distribution formula power supply described in runs constraint representation
In formula,Represent that node i connects the capacity of controlled distribution formula power supply.
3) mathematical modeling for obtaining step 2) is solved to obtain using prim al- dual interior point m ethod：Target function value, each section Point voltage magnitude, each node load recovery coefficient, the operation reserve of distributed power source and block switch cut-off state；
4) solving result of step 3) is exported.
The present invention establishes the active power distribution network islet operation strategy of consideration source lotus operation characteristic, and is carried out using interior point method Solve, obtain optimal islet operation strategy, controlled distribution formula power supply operation reserve is shown in Table 4, recovers load condition and is shown in Table 5.
It is Intel (R) Core (TM) i5-3470CPU to perform the computer hardware environment that optimization calculates, and dominant frequency is 3.20GHz, inside save as 4GB；Software environment is the operating systems of Windows 7.
Distributed power source is considered to contribute and load timing, to greatest extent in guarantee system important load continue it is steady Fixed operation.It is different at the time of being broken down according to power distribution network, and trouble duration difference, obtain different isolated island division plans Omit, to ensure that it is maximum that system recovers load.When with the system jam moment being respectively 0 and when 8, the system islet operation time It it is 4 hours, as shown in Figure 3 and Figure 4, wherein solid node represents load restoration, hollow node represents negative to optimal isolated island result Lotus does not recover.
The IEEE33 nodes example load on-position of table 1 and power
The IEEE33 node example line parameter circuit values of table 2
The distributed power source configuring condition of table 3
The operation reserve of the controlled distribution formula power supply of table 4
Node 13 20 23 30
When 0 V/f is controlled V/f is controlled V/f is controlled V/f is controlled
When 8 V/f is controlled PQ is controlled V/f is controlled PQ is controlled
The load restoration situation of table 5

Claims (3)

  1. A kind of 1. active power distribution network islet operation method of consideration source lotus operation characteristic, it is characterised in that comprise the following steps：
    1) according to selected distribution system, incoming line parameter, load level, network topology annexation, system operation voltage The limitation of horizontal and branch current, controllable and uncontrollable distributed power source on-position, capacity and maximum power factor angle, load with Uncontrollable distributed power source operation curve, system failure moment and duration, the initial value such as reference voltage and reference power；
    2) mathematical modeling of the active power distribution network islet operation problem of consideration source lotus operation characteristic is established, including：It is set in failure The burden with power amount of distribution system service restoration is up to object function in time, considers isolated island main power source unique constraints respectively, is Uniting, trend constraint, working voltage constrain, branch current constrains, the operation of uncontrollable distributed power source constrains and controlled distribution formula power supply Operation constraint；
    3) mathematical modeling for obtaining step 2) is solved to obtain using prim al- dual interior point m ethod：Target function value, each node electricity Pressure amplitude value, each node load recovery coefficient, the operation reserve of distributed power source and block switch cut-off state；
    4) solving result of step 3) is exported.
  2. 2. a kind of active power distribution network islet operation method of consideration source lotus operation characteristic according to claim 1, its feature It is, the burden with power amount of the distribution system service restoration described in step 2) is up to object function and is expressed as
    <mrow> <mi>f</mi> <mo>=</mo> <msubsup> <mi>max&amp;Sigma;</mi> <mrow> <mi>t</mi> <mo>=</mo> <msup> <mi>t</mi> <mi>F</mi> </msup> </mrow> <msub> <mi>N</mi> <mi>T</mi> </msub> </msubsup> <msubsup> <mi>&amp;Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <msub> <mi>N</mi> <mi>N</mi> </msub> </msubsup> <msub> <mi>&amp;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> </mrow>
    In formula, NTFor the time of system islet operation；tFFor system jam at the time of；NNFor the nodes in system；For the burden with power in t node i；λiFor the recovery coefficient of load in node i, it is 0-1 variables, works as λi=1 represents The node load recovers, and works as λi=0 represents that the node load does not recover.
  3. 3. a kind of active power distribution network islet operation method of consideration source lotus operation characteristic according to claim 1, its feature It is, the isolated island main power source unique constraints described in step 2), is expressed as
    αij=βij+βji,ij∈Ωb
    <mrow> <msub> <mi>&amp;Sigma;</mi> <mrow> <mi>i</mi> <mi>j</mi> <mo>&amp;Element;</mo> <msub> <mi>&amp;Omega;</mi> <mi>b</mi> </msub> </mrow> </msub> <msub> <mi>&amp;beta;</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mo>&amp;ForAll;</mo> <mi>i</mi> <mo>&amp;Element;</mo> <mi>N</mi> <mo>\</mo> <msub> <mi>N</mi> <mi>S</mi> </msub> </mrow>
    <mrow> <msub> <mi>&amp;Sigma;</mi> <mrow> <mi>i</mi> <mi>j</mi> <mo>&amp;Element;</mo> <msub> <mi>&amp;Omega;</mi> <mi>b</mi> </msub> </mrow> </msub> <msub> <mi>&amp;beta;</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mo>&amp;ForAll;</mo> <mi>i</mi> <mo>&amp;Element;</mo> <msub> <mi>N</mi> <mi>S</mi> </msub> </mrow>
    αij∈{0,1}
    0≤βij≤1,0≤βji≤1
    In formula, ΩbRepresent the set of all branch roads equipped with block switch；NSThe source node of expression system；αijRepresent on branch road ij Switch cut-offs state, αij=1 represents switch closure, αij=0 represents to switch off；βijNode i and node j relation are represented, βij=1 expression node j be node i father node, βij=0 expression node j is not the father node of node i；βjiRepresent node j and The relation of node i, βji=1 expression node i be node j father node, βji=0 expression node i is not node j father node；It is logical Cross isolated island main power source unique constraints to select the operation reserve of controlled distribution formula power supply, when the controlled distribution in node i Formula power supply meets formulaWhen, the distributed power source in node i chooses PQ control modes；When controllable in node i Distributed power source meets formulaWhen, the distributed power source in node i chooses V/f control modes, meetsThe number of controlled distribution formula power supply be isolated island number in result.
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CN116780529B (en) * 2023-06-30 2024-06-11 国网北京市电力公司 Power distribution network fault recovery method, device, equipment and medium

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