CN105591390B - It is a kind of to improve the method for the quality of distribution network voltage containing small power station - Google Patents
It is a kind of to improve the method for the quality of distribution network voltage containing small power station Download PDFInfo
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- CN105591390B CN105591390B CN201510967800.5A CN201510967800A CN105591390B CN 105591390 B CN105591390 B CN 105591390B CN 201510967800 A CN201510967800 A CN 201510967800A CN 105591390 B CN105591390 B CN 105591390B
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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
- H02J3/12—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load
- H02J3/16—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load by adjustment of reactive power
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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
- H02J3/18—Arrangements for adjusting, eliminating or compensating reactive power in networks
- H02J3/1821—Arrangements for adjusting, eliminating or compensating reactive power in networks using shunt compensators
- H02J3/1871—Methods for planning installation of shunt reactive power compensators
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E40/00—Technologies for an efficient electrical power generation, transmission or distribution
- Y02E40/30—Reactive power compensation
Abstract
Improve the method for the quality of distribution network voltage containing small power station the embodiment of the invention discloses a kind of, methods described includes：Obtain circuit to be selected, the numbering of the circuit to be selected and the corresponding maximum capacitor value of the circuit to be selected of capacitor, according to the numbering of the circuit to be selected and the maximum capacitor value formation initial population, target function value individual in the initial population is calculated, the installation site and capacitor value of the capacitor are determined according to the target function value.This method is not only able to accurately determine the position of series compensation capacitor installation and the size of compensation capacitor value, and more accurate than existing computational methods, and more preferably, the voltage improvement quality to the distribution containing small power station is higher for the effect of capacitor compensation.And this method considers the minimum annual cost that power distribution network containing small power station installs the investment operation of series capacitor, and therefore, distribution is safer and high-quality, runs more economical.
Description
Technical field
It is more particularly to a kind of that distribution containing small power station is improved using series capacitor the present invention relates to distribution network technology field
The method of net quality of voltage.
Background technology
Small power station is renewable green energy resource, is commonly distributed in remote countryside area, with flow point dispersal point along the river, in flakes
The features such as powering, be incorporated to 10kV or 35kV power distribution networks nearby.In the wet season, total installation of generating capacity reaches that the small power station of certain scale supplies
Electric region may be because that can not realize that power in-situ balancing needs to convey power to outer net, and this method of operation changes power distribution network tide
Flow distribution is so as to cause line voltage distribution too high；In dry season, because most of plants without storage do not generate electricity so that by small power station
The long transmission line terminal temperature difference brownout of power supply, being distributed the too high or too low of caused voltage by network trend will influence user's
The Quality and economy operation of Electrical Safety and power network.
At present, improving the method for the quality of distribution network voltage containing small power station has small hydropower station online power factor and generating of avoiding the peak hour
Mode is managed, and installs shunt reactor, two-way automatic voltage regulator and fixed series capacitors etc. additional.Because series capacitor has " certainly
The characteristics of adaptation " voltage-regulation and real-time response, therefore, research, improve the electricity of power distribution network containing small power station using fixed series capacitors
The method for pressing quality, the safe and high quality economical operation to the power distribution network containing small power station is significant.
The existing series capacitor addressing constant volume method for improving the quality of distribution network voltage containing small power station is to be based on Load flow calculation
The voltage difference and electric current of obtained busy hour, then determine the installation site of series capacitor and the method for capacitive reactance.This method
Major defect be：1. this method determines the line of a plurality of branch line using the 1/3~1/2 of busy hour full line voltage difference
The position of series capacitor is installed on road, but is not given in the 1/3~1/2 of full line voltage difference how to select particular location
Method.2. this method can not obtain best position and the capacitive reactance of series capacitor.3. this method is only from improvement quality of voltage
From the aspect of series capacitor addressing constant volume, installation site and capacitive reactance without series capacitor from the viewpoint of economy.Cause
This, existing method can not obtain the prioritization scheme of the series capacitor installation site of power distribution network containing small power station and capacitive reactance, it is impossible to have
The safe and high quality economical operation of the power distribution network containing small power station is realized using series capacitor in effect ground.
The content of the invention
A kind of method of the improvement quality of distribution network voltage containing small power station is provided in the embodiment of the present invention, to solve above-mentioned skill
Art problem.
In order to solve the above-mentioned technical problem, the embodiment of the invention discloses following technical scheme：
A kind of to improve the method for the quality of distribution network voltage containing small power station, methods described includes：
Obtain circuit to be selected, the numbering of the circuit to be selected and the corresponding maximum capacitive reactance of the circuit to be selected of capacitor
Value；
According to the numbering of the circuit to be selected and the maximum capacitor value formation initial population；
Calculate target function value individual in the initial population；
The installation site and capacitor value of the capacitor are determined according to the target function value.
It is preferred that, the step of numbering and the maximum capacitor value according to the circuit to be selected forms initial population is wrapped
Include：
The series compensation capacitor value of the capacitor is entered according to the numbering of the circuit to be selected and the maximum capacitor value
Row coding, forms initial population.
It is preferred that, include in the calculating initial population the step of individual target function value：
Individual in the initial population is decoded, acquisition transformer tap first gear corresponding with the circuit to be selected
Place value；
The individual trend is calculated according to the gear value of the load tap changer, and generates calculation of tidal current；
The individual target function value is calculated according to the calculation of tidal current.
It is preferred that, it is described the capacitor is determined according to the target function value installation site and capacitor value the step of wrap
Include：
The target function value is decoded, the installation site and capacitor value of the capacitor is obtained.
It is preferred that, it is described obtain capacitor circuit to be selected the step of include：
The absolute value summation of each node voltage deviation when any bar circuit does not install capacitor is obtained, and on the circuit
The absolute value summation of each node voltage deviation after the capacitor is installed；
The absolute value summation of each node voltage deviation is with installing after the capacitor when not installing capacitor described in judging
Whether the difference of the absolute value summation of each node voltage deviation is less than 0；
When the difference is less than 0, this circuit is regard as circuit to be selected.
It is preferred that, it is described obtain circuit to be selected numbering the step of include：
If there are M bar circuits in the power distribution network, M bars circuit number consecutively since 1 makes in the M bars circuit
Every circuit have a circuit number；
According to the order of circuit number from small to large, with installing after capacitor when not installing capacitor to every circuit
The difference of the absolute value summation of each node voltage deviation is compared, and filters out the circuit for meeting line condition to be selected；
The circuit for meeting line condition to be selected is arranged according to the order of circuit number from small to large, and to these lines
Road number consecutively since 1, the numbering corresponding to every circuit for meeting line condition to be selected is that the circuit to be selected is compiled
Number.
It is preferred that, the absolute value summation for obtaining each node voltage deviation when any bar circuit does not install capacitor,
And include the step of the absolute value summation of each node voltage deviation after the capacitor is installed on the circuit：
Wherein, f0The absolute value summation of each node voltage deviation during not install capacitor；
N is node total number；
UiThe voltage of node i, U during not install capacitor in power distribution network containing small power station0For the circuit rated voltage；
fiTo install the absolute value summation of each node voltage deviation after the capacitor；
Ub,c,iIt is X to install capacitor value in the b articles circuit in power distribution network containing small power stationcCapacitor when node i voltage.
It is preferred that, it is described to include the step of obtain the circuit to be selected corresponding maximum capacitor value：
When it is described capacitor is not installed when each node voltage deviation absolute value summation it is each after the capacitor with installing
When the absolute value summation of individual node voltage deviation is less than 0, the circuit is installed to the capacitor value X of capacitorcAs described to be selected
The corresponding maximum capacitor value of circuit.
It is preferred that, methods described includes：
Target component is set, wherein, the basic parameter of the target component including the power distribution network containing small power station, genetic algorithm
Basic parameter and the parameter for calculating investment operation annual cost；
According to the target component, the circuit to be selected of the capacitor, the numbering of the circuit to be selected and described are obtained
The corresponding maximum capacitor value of circuit to be selected.
A kind of method for improvement distribution network voltage containing small power station quality that this programme is provided has the advantages that：
1st, this method improves the quality of voltage of the power distribution network containing small power station using series capacitor, by obtaining the electricity installed
Circuit to be selected, the numbering of circuit to be selected and the corresponding maximum capacitor value generation initial population of circuit to be selected of container, then calculate
Individual target function value determines the installation site and capacitor value of series capacitor in initial population.Therefore, this method not only can
The position of series compensation capacitor installation and the size of compensation capacitor value are enough accurately determined, and than existing computational methods more
Accurately, more preferably, the voltage improvement quality to the distribution containing small power station is higher for the effect of capacitor compensation.
2nd, due to during the target function value of calculating, it is contemplated that power distribution network containing small power station installs series capacitor
The minimum annual cost of operation is invested, therefore, distribution is safer and high-quality, runs more economical.
3rd, this method has also taken into account the pressure regulation relation of series capacitor and on-load transformer tap changer combination so that this
The method that scheme is provided can be to the wet season of power distribution network containing the small power station voltage rise more upper limit and dry season voltage reduction more lower limit
Voltage be adjusted, it is more more economical than existing ameliorative way, simpler.
4th, this method can be widely applied in the voltage adjustment of the power distribution network containing small power station, can efficiently reduce voltage out-of-limit
The occurrence of, the formulation for improving quality of voltage scheme for power distribution network containing small power station provides scientific basis.
Brief description of the drawings
In order to illustrate more clearly about the embodiment of the present invention or technical scheme of the prior art, below will be to embodiment or existing
There is the accompanying drawing used required in technology description to be briefly described, it should be apparent that, for those of ordinary skill in the art
Speech, without having to pay creative labor, can also obtain other accompanying drawings according to these accompanying drawings.
Fig. 1 is a kind of flow chart for the method for improving the quality of distribution network voltage containing small power station provided in an embodiment of the present invention；
Fig. 2 is the wiring diagram of 20 node power distribution network containing small power station provided in an embodiment of the present invention；
Fig. 3 is the flow of another method for improving the quality of distribution network voltage containing small power station provided in an embodiment of the present invention
Figure；
Fig. 4 is the flow of another method for improving the quality of distribution network voltage containing small power station provided in an embodiment of the present invention
Figure；
Fig. 5 is the system wiring figure of 10 node Radiation power distribution networks in documents；
Wherein,
In fig. 2,1~20 is node serial number, 1.~10. it is circuit number, T1~T8 numbers for transformer, and G1~G2 is
Small power station's machine group #；
In Figure 5,0~9 is node serial number, and G1~G9 is small power station's machine group #.
Embodiment
In order that those skilled in the art more fully understand the technical scheme in the present invention, below in conjunction with of the invention real
The accompanying drawing in example is applied, the technical scheme in the embodiment of the present invention is clearly and completely described, it is clear that described implementation
Example only a part of embodiment of the invention, rather than whole embodiments.Based on the embodiment in the present invention, this area is common
The every other embodiment that technical staff is obtained under the premise of creative work is not made, should all belong to protection of the present invention
Scope.
The purpose of the present invention is the series capacitor addressing constant volume for the existing improvement quality of distribution network voltage containing small power station
The deficiency of method, proposes that a kind of use series capacitor improves the method for the quality of distribution network voltage containing small power station, with installation
The investment operation minimum target of annual cost of series capacitor, node power equation, series capacitor capacitive reactance, node voltage, line
Road electric current, transformer capacity and load tap changer gear are the spies such as the preferred series capacitor installation site of constraints and capacitive reactance
Point, so as to solve the problems, such as that the wet season of power distribution network containing small power station overtension and dry season brownout provide scientific basis, really
To protect power distribution network containing small power station can realize safe and high quality economical operation, and methods described is comprised the following steps that：
It is a kind of stream of method for improving the quality of distribution network voltage containing small power station provided in an embodiment of the present invention referring to Fig. 1
Cheng Tu.Wherein, methods described includes：
Step S110：Obtain circuit to be selected, the numbering of the circuit to be selected and the circuit correspondence to be selected of capacitor
Maximum capacitor value；
Wherein, step S110 includes：Step S100：Target component is set.
Wherein, the target component includes basic parameter, the something lost of the power distribution network containing small power station for the basic parameter needed for calculating
The basic parameter of propagation algorithm and the parameter for calculating investment operation annual cost.The basic parameter of the power distribution network containing small power station includes small power station
Generating set active power, small power station's generating set power factor；Node total number (N), node serial number, node burden with power
(PL), node load or burden without work (QL)；Circuit sum (M), circuit number, circuit first and last end node numbering, line resistance (R), circuit
Reactance (X) and line energizing flow amount；Transformer sum (Nt), transformer numbering, transformer rated capacity, transformer voltage ratio, transformation
Device open circuit loss, no-load transformer electric current percentage, transformer short-circuit loss, transformer short-circuit voltage percentage, on-load voltage regulation
Transformer numbering, No-load changer tap gear；The node voltage upper limit (Umax), node voltage lower limit (Umin), reference voltage
(UB), reference power (SB).Traditional genetic algorithm parameter includes population scale (Pp), maximum evolutionary generation (Kmax), generation gap (Pg)、
Crossing-over rate (Pc), aberration rate (Pm).Calculating the parameter of investment operation annual cost includes series capacitor unit capacitive reactance cost (C), folding
Now the time (τ is lost in rate (r), the repayment time limit (n), equipment depreciation maintenance rate (α), electricity price (β), peak loadmax)。
In a specific embodiment, the wiring diagram of 20 node power distribution networks containing small power station is illustrated in figure 2.Step S100 is set
Put target component, that is, the basic parameter inputted needed for calculating, the target component include the power distribution network containing small power station basic parameter,
The basic parameter of genetic algorithm and the parameter for calculating investment operation annual cost.The basic parameter of the power distribution network containing small power station includes small water
Electric generator group active power (PG1=0.9MW, PG2=1.25MW), small power station's generating set power factor (being 0.85)；Section
Point is total (N=20), node serial number (1,2 ..., 20), node burden with power (PL), node load or burden without work (QL)；Circuit sum (M
=10), circuit number (1., 2. ..., 10.), circuit first and last end node numbering, line resistance (R), line reactance (X) and circuit
Current-carrying capacity；Transformer sum (Nt=8), transformer numbering (T1, T2 ..., T8), transformer rated capacity, transformer voltage ratio, change
Depressor open circuit loss, no-load transformer electric current percentage, transformer short-circuit loss, transformer short-circuit voltage percentage, have load to adjust
Pressure transformer numbering (T1, T5, T6, T7, T8), No-load changer tap gear (taking 0 × 2.5%)；The node voltage upper limit (Umax
Be taken as respectively in 110kV, 35kV, 10kV and 6kV voltage class 1.1p.u., 1.1p.u., 1.07p.u. and
1.1025p.u.), node voltage lower limit (UminBe taken as respectively in 110kV, 35kV, 10kV and 6kV voltage class 0.9p.u.,
0.9p.u., 0.93p.u. and 0.9975p.u.), reference voltage (UBDistinguish in 110kV, 35kV, 10kV and 6kV voltage class
Be taken as 110kV, 35kV, 10kV and 6kV), reference power (SB=100MVA).Traditional genetic algorithm parameter includes population scale (Pp
=400), maximum evolutionary generation (Kmax=100), generation gap (Pg=0.95), crossing-over rate (Pc=0.9), aberration rate (Pm=0.01).
Calculating the parameter of investment operation annual cost includes series capacitor unit capacitive reactance cost (C=10000 members/Ω), discount rate (r=
10%), the time limit (n=6), equipment depreciation maintenance rate (α=0.1), electricity price (β=0.3 yuan/kwh), peak load is repaid to damage
Time-consuming (τmax=3000h), obtain node data, track data and the transformer data in power distribution network.
Node data, track data and the transformer data of power distribution network shown in Fig. 2 are as shown in table 1, table 2, table 3 and table 4.
The node load data of Fig. 2 power distribution networks of table 1
The track data of Fig. 2 power distribution networks of table 2
| Numbering | First node is numbered | End-node is numbered | Resistance (Ω) | Reactance (Ω) | Current-carrying capacity (A) |
| 1 | 6 | 10 | 1.5695 | 0.731 | 510 |
| 2 | 5 | 8 | 5.3818 | 3.834 | 380 |
| 3 | 8 | 9 | 3.5898 | 3.069 | 380 |
| 4 | 8 | 10 | 4.1302 | 3.531 | 380 |
| 5 | 10 | 11 | 6.1100 | 4.810 | 445 |
| 6 | 11 | 12 | 9.4870 | 7.800 | 445 |
| 7 | 12 | 13 | 4.7748 | 4.082 | 445 |
| 8 | 17 | 19 | 2.9145 | 2.349 | 380 |
| 9 | 18 | 20 | 2.3115 | 1.863 | 380 |
| 10 | 7 | 13 | 4.0836 | 3.291 | 510 |
The three-winding transformer data of Fig. 2 power distribution networks of table 3
Note：Three-winding transformer open circuit loss is 24.7kW, and no-load current percentage is 0.1%.
The two-winding transformer data of Fig. 2 power distribution networks of table 4
As shown in figure 3, step S111：The target component set according to step S100, obtain series capacitor treats route selection
Road, the numbering of circuit to be selected and the corresponding maximum capacitor value of circuit to be selected.
It is preferred that, as shown in figure 4, in step S110 or step S111, the step of the circuit to be selected for obtaining capacitor
Suddenly include：
Step S1101：Each node voltage deviation is absolute when any bar circuit does not install capacitor in acquisition power distribution network
The absolute value summation of each node voltage deviation after the capacitor is installed in value summation, and the circuit；
It is preferred that, each is saved before obtaining circuit installation series capacitor especially by equation below in step S1101
Node voltage deviation summation after the absolute value summation and installation capacitor of point voltage deviation：
Formula one：
Formula two：
Wherein, f0The absolute value summation of each node voltage deviation during not install capacitor；
N is node total number；
UiThe voltage of node i, U during not install capacitor in power distribution network containing small power station0For the circuit rated voltage；
fiTo install the absolute value summation of each node voltage deviation after the capacitor；
Ub,c,iIt is X to install capacitor value in the b articles circuit in power distribution network containing small power stationcCapacitor when node i voltage.
Step S1102：The absolute value summation of each node voltage deviation is with installing institute when not installing capacitor described in judging
Whether the difference for stating the absolute value summation of each node voltage deviation after capacitor is less than 0；
Step S1103：When the difference is less than 0, this circuit is regard as circuit to be selected.
Wherein, in step S110 or step S111, it is described obtain circuit to be selected numbering the step of include：
Step S1104：If there are M bar circuits in the power distribution network, M bars circuit number consecutively since 1 makes described
Every circuit in M bar circuits has a circuit number；
Step S1105：According to the order of circuit number from small to large, with peace when not installing capacitor to every circuit
The difference of the absolute value summation of each node voltage deviation is compared after capacitor, and is filtered out and met line condition to be selected
Circuit；It is wherein described that to meet line condition to be selected be specially judge each node voltage deviation when not installing capacitor absolute
Whether the difference for being worth summation and installing after the capacitor between the absolute value summation of each node voltage deviation is less than 0, when two
When the difference of person is less than 0, that is, meet line condition to be selected
Step S1106：The circuit for meeting line condition to be selected is arranged according to the order of circuit number from small to large,
And to these circuits since 1 number consecutively, the numbering corresponding to every circuit for meeting line condition to be selected is described
Circuit number to be selected.
In addition, the step of obtaining the corresponding maximum capacitor value of the circuit to be selected described in step S110 or step S111
Including：
Step S1107：When it is described capacitor is not installed when each node voltage deviation absolute value summation it is described with installing
When the absolute value summation of each node voltage deviation is less than 0 after capacitor, i.e. fb=f0-fiDuring less than 0, the circuit is installed
The capacitor value X of capacitorcIt is used as the corresponding maximum capacitor value of the circuit to be selected.
In one embodiment, the step S110 or step S111 are：
The first step：After the completion of step S100, first according to the basic ginseng of the step S100 power distribution networks containing small power station set
Number, takes all load tap changers in distribution to be connected on main tap location, contains with pushing back to calculate for power flow algorithm before tradition
Small power station's power distribution network does not install the voltage of each node during series compensation capacitor；Then the absolute of each node voltage deviation is calculated
It is worth summation.Specifically formula is：
Formula one：
In formula one：f0Not install the absolute value summation of each node voltage deviation before series capacitor；N is that node is total
Number；UiThe voltage of node i during to be fitted without series capacitor in power distribution network containing small power station；U0For circuit rated voltage.
Second step：After the completion of the first step, the matrix L that a M row 2 is arranged is defined, l=1, b=1 is made, takes series capacitor
Capacitor value XcFor 0.
3rd step：After the completion of second step, the reactance value of the b articles circuit of the power distribution network containing small power station that step S100 is inputted
It is stored in XbIn.
4th step：After the completion of the 3rd step, the capacitor value of series capacitor is gradually increased in units of 1 Ω, i.e., first will
Capacitor value XcValue increase by 1 ohm, correspondingly, by reactance XbReduce Xc, the reactance value of remaining circuit is constant, with being pushed back before tradition
The voltage of each node of power distribution network is calculated for power flow algorithm, then calculating improves the index of quality of voltage, specially formula two：
Formula two：
In formula two：fbFor circuit install capacitor before and install capacitor after each node voltage deviation it is absolute
It is worth the difference of summation, also as quality of voltage index；f0For the result of formula one, Ub,c,iFor in power distribution network containing small power station in b
It is X that bar circuit, which installs capacitive reactance,cSeries capacitor when node i voltage；U0For circuit rated voltage, and the U a kind of with formula0
It is identical.
5th step：After the completion of the 4th step, work as fb>When 0, the 4th step is continued executing with, increases the capacitor value of series capacitor
Xc, until working as fb<Untill when 0；Work as fb<When 0, the 6th step is performed.
6th step：Work as fb<0, and work as XcWhen=1, the 7th step of execution is gone to；Otherwise, the b articles circuit is elected as installation series connection
The numbering of the b articles circuit, is first stored in the element of the row of matrix L l rows the 1st, by capacitive reactance X by the circuit to be selected of capacitorcDeposit
It is placed in the element that matrix L l rows the 2nd are arranged, then l value is added 1, judges whether the circuit of next numbering meets circuit to be selected
Condition, go to execution the 7th step.
7th step：After the completion of the 6th step, as b≤M, b value is added 1, X is madec=0, go to the 3rd step of execution；Otherwise
Stop calculating.Stop after calculating, the row number of matrix L is circuit number to be selected, and the 1st column element is the circuit number of circuit to be selected,
The element of 2nd row can install the maximum capacitive reactance of series capacitor for circuit to be selected, can obtain to be selected by the circuit to be selected in matrix L
Circuit sum K.
Specifically, by taking Fig. 2 power distribution network as an example, circuit to be selected and the maximum capacitive reactance for determining to install series capacitor are illustrated.
Determine that the calculation procedure for installing the circuit to be selected of series capacitor and maximum capacitive reactance obtains Fig. 2 according to step S110 or step S111
The circuit to be selected of shown power distribution network installing series compensation capacitor and maximum capacitive reactance are as shown in table 5.
The circuit to be selected of Fig. 2 power distribution networks of table 5 installing series compensation capacitor and maximum capacitive reactance
It can be obtained according to table 5, circuit number is respectively 1,5,6,7,8 and 9 conditions for meeting circuit to be selected, corresponding to treat route selection
The numbering on road is followed successively by 1 to 6, and can determine that the maximum capacitor value of every circuit to be selected.
According to the circuit to be selected obtained in step S110 or step S111, the numbering of the circuit to be selected and described to be selected
The corresponding maximum capacitor value of circuit determines the optimal case of series capacitor installation site and capacitive reactance with traditional genetic algorithm.
After the completion of the 7th step, to determine the optimal case of series capacitor installation site and capacitive reactance, first set up solution and contain
The mathematical modeling that small power station's power distribution network series capacitor is distributed rationally.The object function of the model is the throwing for installing series capacitor
Money operation annual cost is minimum, constraints include node power equation, the capacitive reactance of series capacitor, node voltage, line current,
Transformer capacity, load tap changer gear.Specific formula is as follows：
Formula three：
Formula four：
Formula five：
Formula six：0≤Xcl≤Xclmax
Formula seven：Umin≤Ui≤Umax
Formula eight：Ib≤Ibmax
Formula nine：St≤Stmax
Formula ten：Ttmin≤T≤Ttmax
Above-mentioned formula three is into formula ten：C is series capacitor unit capacitive reactance cost；K is circuit to be selected sum；XclWith
XclmaxCircuit l respectively to be selected series compensation capacitive reactance and maximum capacitor value；R is discount rate；N is the repayment time limit；α rolls over for equipment
Old maintenance rate；β is electricity price；τmaxThe time is lost for peak load；Δ P ∑s are total active power loss；PisAnd QisRespectively save
Point i injection active power and injection reactive power；UiAnd UjThe respectively voltage of node i and j；Gij、BijAnd δijRespectively save
Transconductance, mutual susceptance and phase angle difference between point i and j；UmaxAnd UminRespectively node voltage bound；IbAnd IbmaxRespectively
Electric current and current-carrying capacity that circuit b flows through；StAnd StmaxThe capacity and rated capacity of respectively transformer t conveyings；Tt、TtmaxAnd Ttmin
Respectively transformer t tap gear and bound.
Wherein, the maximum capacitor value X of the circuit to be selected obtained in step S110 or step S111cAs in formula six
Maximum capacitor value Xclmax。
Then the mathematics that the series capacitor of power distribution network containing small power station set up is distributed rationally is solved with traditional genetic algorithm
Model obtains installing optimum position and the capacitive reactance of series capacitor.Comprise the following steps that：
Step S120：According to the numbering of the circuit to be selected and the maximum capacitor value formation initial population.
Wherein, in the step s 120, the step of forming initial population includes：
Step S121：(as shown in Figure 3) is according to the numbering and the maximum capacitor value of the circuit to be selected to the electric capacity
The series compensation capacitor value of device is encoded, and forms initial population.
Specifically, the population scale set according to step S100, decimally integer is population to the number randomly generated
The individual of scale is encoded, and forms initial population.Each individual UVR exposure first presses step S110 or step S1104 in initial population
The order arrangement of the circuit number to be selected determined into step S1106, then the ULTC inputted by step S100 are compiled
The arrangement of number ascending order.The capacitor value of every circuit series compensation capacitor to be selected is less than what is tried to achieve in step S110
Maximum capacitive reactance is to meet the requirement of formula six.The load tap changer gear that load tap changer gear is inputted according to step S100
Decimal integer number consecutively is pressed from positive maximum gear to negative maximum gear, three winding ULTC is only to high pressure
Side tap numbering, the coding value of load tap changer should meet the requirement of formula ten.
By taking Fig. 2 power distribution network as an example, illustrate to form initial population.Using decimal integer encoding.Every circuit string to be selected
The capacitor value for joining compensation capacitor is chosen 0 into table 5 in the range of the maximum capacitor value of correspondence circuit to be selected.Set according to step S100
110kV three winding ULTCs high-pressure side tap ± 8 × 1.25% and 35kV double winding on-load voltage regulation transformations put
Device tap ± 3 × 2.5%, must can be become from positive maximum gear to negative maximum gear by decimal integer number consecutively respectively
Depressor tap header encoder span is 1~17 and 1~7.
An individual in the initial population randomly generated is encoded to：[5,59,70,5,2,4,3,2,4,1,5]
Step S130：Target function value individual in the initial population is calculated, to obtain the throwing for installing series capacitor
The minimum individual of money operation annual cost, to each individual in the population according to the calculating target function value of formula three.
It is preferred that, target function value individual in the initial population is calculated in step S130 and is specifically included：
Step S131：Individual in the initial population is decoded, acquisition transformation corresponding with the circuit to be selected
Device tap gear value.Each bar circuit installing series capacitor to be selected is determined according to the coding of correspondence circuit to be selected in individual UVR exposure
Capacitor value, according in individual UVR exposure correspondence transformer coding determine transformer tap gear.
By taking Fig. 2 power distribution network as an example, illustrate to decode the individual UVR exposure obtained in step S130.According to step S131
Coding method can obtain series compensation capacitor value and load tap changer the gear such as institute of table 6 of the circuit to be selected of power distribution network shown in Fig. 2
Show.
The series compensation capacitor value and load tap changer gear of Fig. 2 power distribution networks circuit to be selected of table 6
| Circuit to be selected | Series compensation capacitor value | ULTC is numbered | Tap gear |
| 1 | 5 | 1 | + 6 × 1.25% |
| 2 | 59 | 5 | + 2 × 2.5% |
| 3 | 70 | 6 | 0 × 2.5% |
| 4 | 5 | 7 | + 3 × 2.5% |
| 5 | 2 | 8 | - 1 × 2.5% |
| 6 | 4 |
Step S132：The individual trend is calculated according to the gear value of the load tap changer, and generates trend meter
Calculate result；
After the completion of step S132 execution, first subtracted and obtained in step S132 with the step S100 line reactance values to be selected set
The series capacitor capacitive reactance obtained is worth to the new reactance value of the circuit to be selected；The load tap changer obtained in step S132
Gear is used as the new gear of load tap changer；The tide that the power distribution network containing small power station is calculated for power flow algorithm with being pushed back before tradition again
Stream.
By taking Fig. 2 power distribution networks as an example, illustrate the trend for calculating the distribution network of individual.The distribution first set according to step S100
The series compensation capacitor value of circuit to be selected and the tap gear of transformer are asked in the parameter of net, the table 6 obtained with step S131
Pushed back before obtaining the new reactance value of circuit and new load tap changer gear to be selected, then utilization tradition for power flow algorithm to step S131
In obtain individual carry out Load flow calculation.Load flow calculation shows that the individual trend does not restrain, and is respectively saved in calculation of tidal current
Point voltage is as shown in table 7.
Fig. 2 distribution power system load flow calculation results of table 7
Step S133：The individual target function value is calculated according to the calculation of tidal current.
After the completion of step S132, when the trend tried to achieve in step S132 does not restrain, or power flow solutions are unsatisfactory for formula
During the requirement of seven~formula nine, the target function value of individual is assigned into a larger value, i.e., 109；Otherwise, calculated according to formula three
The target function value of individual.
By taking Fig. 2 power distribution networks as an example, illustrate the target function value for calculating individual.From step S132, the individual tide
Stream is not restrained, therefore the individual object function is assigned into a larger value, i.e., 109。
Step S140：The installation site and capacitor value of the capacitor are determined according to the target function value.
It is preferred that, the step S140 includes：Step S141：The target function value is decoded, the electricity is obtained
The installation site and capacitor value of container.
Specifically, after the completion of step S133, calculating is optimized with traditional genetic algorithm.
First, it is parent population to define current population, is calculated according to the individual target function value tried to achieve in step S133
Individual fitness value in parent population；
Secondly, selection operation, crossover operation and mutation operation are carried out to parent population and obtains progeny population；
Again, whole individual goal functional values of the progeny population are calculated；
Then, the progeny population is inserted into parent population and obtains new population；
Finally, judge that Evolution of Population is calculated whether to terminate, when Evolution of Population algebraically is not reaching to maximum evolutionary generation,
Evolutionary generation adds 1, and new population is repeated into the calculating of this step as current population, until Evolution of Population algebraically reaches step
Untill the maximum evolutionary generation (Kmax) inputted in S100, the coding and target function value of each individual in population are just obtained；It is no
Then terminate Evolution of Population calculating.
By taking Fig. 2 power distribution networks as an example, illustrate that Evolution of Population is calculated.Evolution of Population calculating before, by step S121 formed just
An individual in beginning population is encoded to [5,59,70,5,2,4,3,2,4,1,5], and the individual target function value is 109.It is logical
The fitness for crossing Population in Genetic Algorithms evolution is calculated, selection, intersect, variation and again after the operation such as insertion in obtained population one
Individual is encoded to：[0,0,0,45,0,0,5,3,2,6,6].From step S131 coding method, the individual UVR exposure is represented
The series capacitor that capacitor value is 45 Ω is installed in the 4th article of circuit to be selected, i.e. circuit 7, remaining circuit does not install series capacitor；
No. 1 110kV high voltage side of transformer gear is encoded to 5, and it is+4 × 1.25% to represent its tap gear；5~No. 8 35kV transformers
High-pressure side gear coding is respectively 3,2,6,6, and the tap gear for representing them is respectively+1 × 2.5% ,+2 × 2.5%, -2
× 2.5%, -2 × 2.5%.The individual trend convergence, in the absence of node voltage is out-of-limit, line current is out-of-limit and transformer holds
The out-of-limit situation of amount, calculates according to formula three and obtains target function value for 184.4425 ten thousand yuan.
In above-mentioned specific embodiment, step S141：The target function value is decoded, the capacitor is obtained
Installation site and capacitor value be：
By taking Fig. 2 power distribution networks as an example, illustrate the optimal case for determining series capacitor installation site and capacitive reactance.In step S133
Evolution of Population is calculated terminate after obtained optimum individual be：[0,0,0,29,0,0,5,3,2,6,7].The individual trend convergence,
In the absence of the situation that node voltage is out-of-limit, line current is out-of-limit and transformer capacity is out-of-limit, target function value is 182.0428 ten thousand
Member.Will the individual decode after understand, the optimal installation site of series capacitor is the 4th article of circuit to be selected, i.e. circuit 7, optimal
Capacitor value is 29 Ω.Now No. 1 high voltage side of transformer tap gear is+4 × 1.25%；The tap first gear of 5~No. 8 transformers
Position is respectively+1 × 2.5% ,+2 × 2.5%, -2 × 2.5%, -3 × 2.5%.Wherein, common table can be passed through to individual decoding
The mode that lattice are compared, or other existing decoding process decodings, obtain optimal location and series connection that series capacitor is installed
Optimal capacitor value.
The purpose of the present invention is the series capacitor addressing constant volume for the existing improvement quality of distribution network voltage containing small power station
The deficiency of method, proposes that a kind of use series capacitor improves the method for the quality of distribution network voltage containing small power station, with installation
The investment operation minimum target of annual cost of series capacitor, node power equation, series capacitor capacitive reactance, node voltage, line
Road electric current, transformer capacity and load tap changer gear are the spies such as the preferred series capacitor installation site of constraints and capacitive reactance
Point, so as to solve the problems, such as that the wet season of power distribution network containing small power station overtension and dry season brownout provide scientific basis, really
Safe and high quality economical operation can be realized by protecting power distribution network containing small power station.
A kind of method for improvement distribution network voltage containing small power station quality that this programme is provided has the advantages that：
1st, this method improves the quality of voltage of the power distribution network containing small power station using series capacitor, by obtaining the electricity installed
Circuit to be selected, the numbering of circuit to be selected and the corresponding maximum capacitor value generation initial population of circuit to be selected of container, then calculate
Individual target function value determines the installation site and capacitor value of series capacitor in initial population.Therefore, this method not only can
The position of series compensation capacitor installation and the size of compensation capacitor value are enough accurately determined, and than existing computational methods more
Accurately, more preferably, the voltage improvement quality to the distribution containing small power station is higher for the effect of capacitor compensation.
2nd, due to during the target function value of calculating, it is contemplated that power distribution network containing small power station installs series capacitor
The minimum annual cost of operation is invested, therefore, distribution is safer and high-quality, runs more economical.
3rd, this method has also taken into account the pressure regulation relation of series capacitor and on-load transformer tap changer combination so that this
The method that scheme is provided can be to the wet season of power distribution network containing the small power station voltage rise more upper limit and dry season voltage reduction more lower limit
Voltage be adjusted, it is more more economical than existing ameliorative way, simpler.
4th, this method can be widely applied in the voltage adjustment of the power distribution network containing small power station, can efficiently reduce voltage out-of-limit
The occurrence of, the formulation for improving quality of voltage scheme for power distribution network containing small power station provides scientific basis.
In another specific embodiment of this programme, with the series compensation capacitance of existing improvement distribution quality of voltage
Exemplified by device, the result provided with the technical program is compared, and obtains experimental result as follows：
With existing literature 2013 year the 8th phase of volume 41 shown in Fig. 5《Electric power system protection and control》In " improve distribution electricity
Press the fixed series compensation technical research of quality " exemplified by 10 node power distribution nets in a text, with the method for the document (hereinafter referred to as：
Method 1) and the method for the invention provided is (hereinafter referred to as：Method 2) carry out the installation series capacitor effect of power distribution network containing small power station
Comparison.
Power distribution network shown in Fig. 5 is 1.0000p.u. in headend node voltage, when being fitted without series capacitor, pure load fortune
Minimum voltage is in line end under line mode, and node voltage is 0.9174p.u.；Ceiling voltage exists under pure small power station's method of operation
Line end, node voltage is 1.0725p.u..Series connection is added on the electric power bar of No. 3 tapping points according to what the document was provided
The scheme of capacitor, installs 5 Ω series capacitors using in circuit 2-3 herein.With being pushed back before tradition for power flow algorithm to Fig. 4
Shown power distribution network carries out Load flow calculation, can obtain under pure load operation mode that minimum voltage is in line end, and node voltage is
0.9571p.u., year investment operating cost is 8.2639 ten thousand yuan；Ceiling voltage is in line end, section under pure small power station's method of operation
Point voltage is 1.0375p.u., and year investment operating cost is 9.0504 ten thousand yuan.Result of calculation is as shown in the result of method 1 in table 8.
The comparison of the two methods result of table 8
It can be obtained by comparing, the method (method 2) provided with the present invention is to power distribution network shown in Fig. 5 in pure load and pure small water
The electric method of operation calculates series capacitor configuration scheme respectively, and result of calculation is as shown in the result of method 2 in table 8.By table 8
It can be seen that, the prioritization scheme under pure load and the pure small power station operation method of operation is all to install 4 Ω series capacitors in circuit 1-2.
Under pure load operation mode, ceiling voltage is at node 2, and node voltage is 1.0037p.u., minimum voltage in line end,
Node voltage is 0.9539p.u., and year investment operating cost is 7.9074 ten thousand yuan.Under the pure small power station operation method of operation, highest
Voltage is in line end, and node voltage is 1.0406p.u., and minimum voltage is at node 2, and node voltage is 0.9944p.u., year
It is 8.7189 ten thousand yuan to invest operating cost.Each point voltage is all adjusted in allowed band under two kinds of methods of operation.Year from table 8
Expense is visible, and the annual cost of method (method 2) ratio method 1 that the present embodiment is provided is under pure load and pure small power station's method of operation
0.3565 ten thousand yuan and 0.3315 ten thousand yuan are saved respectively.Therefore, the method (method 2) that the present invention is provided can be more than existing method 1
Economically realize that voltage is adjusted.
It can be obtained from the experimental result and com-parison and analysis in above-described embodiment：
The method that a kind of use series capacitor that the present embodiment is provided improves the quality of distribution network voltage containing small power station passes through
The annual cost for obtaining the investment operation that power distribution network containing small power station installs series capacitor using optimized calculation method is minimum, can not only
Realize that voltage is adjusted, and with more preferable economy.
This programme is also achieved under the wet season of power distribution network containing the small power station voltage rise more upper limit and the reduction more of dry season voltage
The voltage adjustment of limit, and then to improve under the wet season of power distribution network containing the small power station voltage rise more upper limit and the reduction more of dry season voltage
The decision-making of the quality of voltage of limit provides scientific basis.
It should be noted that herein, the relational terms of such as " first " and " second " or the like are used merely to one
Individual entity or operation make a distinction with another entity or operation, and not necessarily require or imply these entities or operate it
Between there is any this actual relation or order.Moreover, term " comprising ", "comprising" or its any other variant are intended to
Cover including for nonexcludability, so that process, method, article or equipment including a series of key elements not only include those
Key element, but also other key elements including being not expressly set out, or also include for this process, method, article or set
Standby intrinsic key element.In the absence of more restrictions, the key element limited by sentence "including a ...", it is not excluded that
Also there is other identical element in the process including the key element, method, article or equipment.
Described above is only the embodiment of the present invention, is made skilled artisans appreciate that or realizing this hair
It is bright.A variety of modifications to these embodiments will be apparent to one skilled in the art, as defined herein
General Principle can be realized in other embodiments without departing from the spirit or scope of the present invention.Therefore, it is of the invention
The embodiments shown herein is not intended to be limited to, and is to fit to and principles disclosed herein and features of novelty phase one
The most wide scope caused.
Claims (7)
1. a kind of improve the method for the quality of distribution network voltage containing small power station, it is characterised in that methods described includes：
Obtain circuit to be selected, the numbering of the circuit to be selected and the corresponding maximum capacitor value of the circuit to be selected of capacitor；
According to the numbering of the circuit to be selected and the maximum capacitor value formation initial population；
Calculate target function value individual in the initial population；
The installation site and capacitor value of the capacitor are determined according to the target function value；
Wherein, the step of numbering and the maximum capacitor value according to the circuit to be selected forms initial population includes：
The series compensation capacitor value of the capacitor is compiled according to the numbering of the circuit to be selected and the maximum capacitor value
Code, forms initial population；
Include in the calculating initial population the step of individual target function value：
Individual in the initial population is decoded, acquisition load tap changer gear corresponding with the circuit to be selected
Value；
The individual trend is calculated according to the gear value of the load tap changer, and generates calculation of tidal current；
The individual target function value is calculated according to the calculation of tidal current.
2. according to the method described in claim 1, it is characterised in that described that the capacitor is determined according to the target function value
Installation site and include the step of capacitor value：
The target function value is decoded, the installation site and capacitor value of the capacitor is obtained.
3. method according to claim 2, it is characterised in that include the step of the circuit to be selected of the acquisition capacitor：
The absolute value summation of each node voltage deviation when any bar circuit does not install capacitor is obtained, and is installed on the circuit
The absolute value summation of each node voltage deviation after the capacitor；
Judge the absolute value summation of each node voltage deviation when not installing capacitor with after the installation capacitor each
Whether the difference of the absolute value summation of node voltage deviation is less than 0；
When the difference is less than 0, this circuit is regard as circuit to be selected.
4. method according to claim 3, it is characterised in that include the step of the numbering of the acquisition circuit to be selected：
If there are M bar circuits in the power distribution network, M bars circuit number consecutively since 1 makes every in the M bars circuit
Bar circuit has a circuit number；
According to the order of circuit number from small to large, with installing after capacitor each when not installing capacitor to every circuit
The difference of the absolute value summation of node voltage deviation is compared, and filters out the circuit for meeting line condition to be selected；
The circuit for meeting line condition to be selected is arranged according to circuit number order from small to large, and to these circuits from
1 starts number consecutively, and the numbering corresponding to every circuit for meeting line condition to be selected is the circuit number to be selected.
5. method according to claim 4, it is characterised in that when the acquisition any bar circuit does not install capacitor each
The absolute value summation of node voltage deviation, and the absolute value of each node voltage deviation after the capacitor is installed on the circuit
The step of summation, includes：
<mrow>
<msub>
<mi>f</mi>
<mn>0</mn>
</msub>
<mo>=</mo>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>N</mi>
</munderover>
<mo>|</mo>
<msub>
<mi>U</mi>
<mi>i</mi>
</msub>
<mo>-</mo>
<msub>
<mi>U</mi>
<mn>0</mn>
</msub>
<mo>|</mo>
</mrow>
<mrow>
<msub>
<mi>f</mi>
<mi>i</mi>
</msub>
<mo>=</mo>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>N</mi>
</munderover>
<mo>|</mo>
<msub>
<mi>U</mi>
<mrow>
<mi>b</mi>
<mo>,</mo>
<mi>c</mi>
<mo>,</mo>
<mi>i</mi>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>U</mi>
<mn>0</mn>
</msub>
<mo>|</mo>
</mrow>
Wherein, f0The absolute value summation of each node voltage deviation during not install capacitor；
N is node total number；
UiThe voltage of node i, U during not install capacitor in power distribution network containing small power station0For the circuit rated voltage；
fiTo install the absolute value summation of each node voltage deviation after the capacitor；
Ub,c,iIt is X to install capacitor value in the b articles circuit in power distribution network containing small power stationcCapacitor when node i voltage.
6. method according to claim 5, it is characterised in that the corresponding maximum capacitor value of the acquisition circuit to be selected
The step of include：
When it is described capacitor is not installed when each node voltage deviation absolute value summation saved with installing after the capacitor each
When the absolute value summation of point voltage deviation is less than 0, the circuit is installed to the capacitor value X of capacitorcIt is used as the circuit to be selected
Corresponding maximum capacitor value.
7. the method according to any one of claim 1 to 6, it is characterised in that methods described includes：
Target component is set, wherein, the basic parameter of the target component including the power distribution network containing small power station, genetic algorithm it is basic
Parameter and the parameter for calculating investment operation annual cost；
According to the target component, the circuit to be selected of the capacitor, the numbering of the circuit to be selected and described to be selected are obtained
The corresponding maximum capacitor value of circuit.
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| CN111209673A (en) * | 2020-01-08 | 2020-05-29 | 云南电网有限责任公司昆明供电局 | Design method of novel wide-width voltage-regulating distribution transformer |
| CN112165103B (en) * | 2020-09-25 | 2022-08-19 | 国网青海省电力公司果洛供电公司 | Power electronic voltage regulator configuration method for extension of power supply line in sparse remote area |
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Effective date of registration: 20230206 Address after: No.105, Yunda West Road, Kunming Economic and Technological Development Zone, Yunnan 650000 Patentee after: ELECTRIC POWER RESEARCH INSTITUTE, YUNNAN POWER GRID Co.,Ltd. Address before: 650217 No. 105 Yunda West Road, Kunming Economic and Technological Development Zone, Yunnan Province Patentee before: ELECTRIC POWER RESEARCH INSTITUTE, YUNNAN POWER GRID Co.,Ltd. Patentee before: Chongqing University |