CN106356860A - Initial voltage value setting method for calculating three-phase power flow of power distribution system - Google Patents
Initial voltage value setting method for calculating three-phase power flow of power distribution system Download PDFInfo
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- CN106356860A CN106356860A CN201610903352.7A CN201610903352A CN106356860A CN 106356860 A CN106356860 A CN 106356860A CN 201610903352 A CN201610903352 A CN 201610903352A CN 106356860 A CN106356860 A CN 106356860A
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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
- H02J3/04—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
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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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Abstract
The invention discloses an initial voltage value setting method for calculating three-phase power flow of a power distribution system. The method comprises the following steps: forming branch node connection relation arrays Br; sequencing the arrays Br; searching the arrays Br, and setting an initial phase angle value of the voltage of each node; adjusting the initial phase angle value of three-phase voltage of each node; and setting amplitude values of the three-phase voltages of all the nodes. The initial voltage value setting method fully considers voltage phase displacement of a transformer; by search of branches in the power distribution system, a connection relation between the nodes is determined; and the initial phase angle values of three-phase node voltages of the connected nodes are set according to digital numbers of branch connection groups. The initial voltage values of all the nodes are set according to the method disclosed by the invention, so that the set initial voltage value of each node can be closer to a solution of power flow calculation, therefore, the convergence of the three-phase power flow calculation of the power distribution system is improved, the original situation of no convergence due to flat starting can be converged, and the number of iteration times for the original situation of convergence realized by adopting the flat starting is smaller.
Description
Technical field
The present invention relates to a kind of distribution system Three Phase Power Flow, particularly a kind of distribution system three-phase power flow
Voltage initial value method to set up.
Background technology
Power system is by producing, conversion, conveying, distribution and using form very huge of the equipment (element) of electric energy
Complicated entity, is divided into transmission system and distribution system two parts.Transmission system acts primarily as conversion and the effect of conveying electric energy,
Electric pressure is very high；Distribution system acts primarily as conversion and the effect of distribution electric energy, and electric pressure is relatively low.
It is the basic calculating that research power system mesomeric state runs that electric power system tide calculates, and it is according to given operation
Condition and network structure determine the running status of whole network.Load flow calculation is also the basis of other analyses of power system, such as pacifies
Complete analysis, transient stability analysis etc. will use Load flow calculation.
Distribution system is made up of distribution line, distribution transformer, panel switches, distribution capacitor and distribution load etc.
A network system of electric energy is directly distributed to terminal use.Carry out Power System Analysis firstly the need of in power system each
Suitable model set up by element.Different from the three-phase symmetrical method of operation of high voltage power transmisson system, the load of distribution system and network
All may be asymmetric, when distribution system carries out Load flow calculation, it is considered as the feature of asymmetrical three-phase, carry out three-phase power flow.
The premise of therefore distribution system three-phase power flow is to set up the triphase flow of each element of distribution system.
The three-phase transformer model of single-phase Load flow calculation adopts transformator single phase model, and people are typically only concerned transformator and become
Than and equivalent impedance.But in distribution system three-phase power flow, transformer model is more complex, not only transformator to be considered
No-load voltage ratio and equivalent impedance, the connected mode of Transformer Winding also to be concerned about and connect group and neutral point and whether be grounded etc. and ask
Topic.The primary and secondary side of three-phase transformer respectively has 3 windings, and the head end of three-phase windings and end are attached, and symmetrically
Draw three-phase head end, have two kinds of connected modes: a kind of is that one end three-phase transformer three-phase windings is connected together, and the other end draws
Go out, referred to as three-phase transformer Y-connection or y connect；Another kind is successively by the head end of a phase winding and another phase winding end
Connect triangularity, referred to as three-phase transformer triangle connects or d connects.
The former and deputy side winding of three-phase transformer is likely to be connected into star or triangle.National regulations: three-phase transformer around
Organize as during Y-connection, being numbered y (primary side winding) and y (vice-side winding), when neutral point is drawn, be numbered yn or yn；Winding
When connecting for triangle, it is numbered d (primary side winding) and d (vice-side winding).
Because the former and deputy side winding of three-phase transformer is likely to be connected into star or triangle, three-phase transformer former and deputy
The different connections of side winding, can obtain multiple combination, and wherein delta connection can be divided into left lateral wiring and right lateral wiring, star
The neutral point of connection has ground connection and earth-free dividing again.After these connected modes are combined, 16 kinds of compound modes can be obtained.
The polarity of three-phase transformer former and deputy side winding may identical be likely to contrary, so every kind of combination has two kinds of polarity
Relation.
Three-phase transformer former and deputy side winding is each mutually may to be corresponded, and that is, a, b, c phase of primary side winding corresponds respectively to
A, b, c phase of vice-side winding, corresponding winding is on same iron core；It is not right that three-phase transformer former and deputy side winding is respectively mutually likely to
Should, that is, a of primary side winding corresponds to b phase or the c phase of vice-side winding, but positive to be met between the three-phase voltage of vice-side winding
The relation of sequence, therefore every kind of polarity corresponds to 3 kinds of phase relations.
So having 6 kinds of phase relations under every kind of connection compound mode of three-phase transformer, then 16 kinds of compound modes have 96
Plant connection group.
The other number designation of three-phase transformer connection group is represented using the clock ordinal number of phase contrast, and new national standard adopts former and deputy
The phase contrast of side corresponding phase voltage phasor judges, the phase voltage phasor with former limit is that secondary is corresponding with reference to 0 point of clock of sensing
When hour number pointed by phase voltage phasor is the other number designation of three-phase transformer connection group, the dummy neutral of triangle
For triangle center.Three-phase transformer both sides all adopt identical connected mode, that is, when yy, dd, be 0,2,4,6,8,10 points of idol
Several wiring；Three-phase transformer side adopts delta connection using star-star connection opposite side, that is, when yd, dy, be 1,3,5,7,
9th, 11 points of odd point wiring.
In transmission system, because three-phase load and network are all symmetrical, transmission system voltage (or electric current) everywhere
It is also symmetrical, that is, three-phase voltage (or electric current) is equal in magnitude, 120 ° of phase, b phase between two-phase voltage (or electric current)
120 ° of delayed a phase, 120 ° of c phase delayed b phase.The electricity of a certain phase (as a phase) during analytical calculation, can be calculated with single-phase equivalent circuit
Pressure (or electric current), other biphase voltages (or electric current) directly write out result according to symmetrical relationss.Three-phase in single-phase equivalent circuit
Transformer model only has transformer voltage ratio and equivalent impedance.
In a power distribution system, because three-phase load and network are asymmetric, distribution system voltage (or electric current) everywhere is not yet
It is symmetrical, it is necessary to be calculated together using three-phase circuit model during analytical calculation.Three-phase transformer mould in three-phase equivalent circuit
Type not only transformer voltage ratio to be considered and equivalent impedance, it is also contemplated that the connection group of the primary side winding of transformator and vice-side winding
Not.
According to the feature of power system node, Load flow calculation is divided into 3 classes: node active power and nothing power system node
Work(power is known, node voltage amplitude and the unknown node of voltage phase angle are referred to as pq node；Node active power and voltage magnitude
Known, node reactive power and the unknown node of voltage phase angle are referred to as pv node；Node voltage amplitude and voltage phase angle are it is known that save
Point active power and the unknown node of reactive power are referred to as balance nodes.
The power equation of Load flow calculation or current equation are nonlinear equations it is necessary to be solved using iterative manner.Iteration side
When method solves Load flow calculation problem, need to set the initial value of each node voltage.Voltage initialization is general to be started using flat, single-phase tide
When stream calculation is using flat startup setting voltage initial value, the node voltage amplitude of pv node and balance nodes draws definite value, pq node
Node voltage amplitude take 1.0；The phase angle of all node voltages all takes 0.0.Three-phase power flow starts setting voltage using flat
During initial value, the three-phase node voltage amplitude of pv node and balance nodes all draws definite value, the three-phase node voltage amplitude of pq node
Take 1.0；The phase angle of all node a phase voltages all takes 0 °, and the phase angle of b phase voltage all takes -120 °, and the phase angle of c phase voltage all takes
120°.Here unit all adopts perunit value in addition to phase angle.
As shown in figure 1, the method to set up of existing distribution system three-phase power flow voltage initial value, main inclusion is following to be walked
Rapid:
A, setting node counts variable i=1；
Whether b, decision node i are pq node, if not pq node, go to step c；Otherwise, setting node is electric as the following formula
Pressure amplitude value:
uia=uib=uic=1.0 (1)
In formula, uia、uib、uicIt is respectively the three-phase node voltage amplitude of node i；
Go to step d；
C, pv node and balance nodes arrange node voltage amplitude as the following formula:
In formula, uias、uibs、uicsIt is respectively the three-phase node voltage amplitude set-point of node i.
D, all nodes arrange node voltage phase angle as the following formula:
E, counting variable i=i+1；
F, judge that whether i is more than nodes n, if i is more than n, terminate；Otherwise, go to step b and carry out next node voltage
The setting of initial value.
Because the voltage-phase that single-phase Load flow calculation does not consider transformator moves, the phase angle difference of each node voltage is less big,
It is 0 ° using the flat setting voltage phase angle initial value that starts, convergence problem will not be brought to Load flow calculation.Three-phase power flow then needs
The voltage-phase of transformator to be considered moves, if directly the phase angle initial value using the flat startup each node a phase voltage of setting is 0 °, b
The phase angle initial value of phase voltage is -120 °, the phase angle initial value of c phase voltage is 120 °, then the voltage of some nodes then can deviate tide
The Xie Taiyuan of stream calculation, leads to Load flow calculation to dissipate.
Content of the invention
For solving the problems referred to above that prior art exists, the present invention will propose a kind of electricity of distribution system three-phase power flow
Pressure initial value method to set up, can take into full account that the voltage-phase of transformator moves, according to the different other numerals of transformator connection group
Label arranges the phase angle initial value of each node voltage so that set each node voltage initial value is close with the solution of Load flow calculation, enters
And improve the convergence of distribution system three-phase power flow.
To achieve these goals, technical scheme is as follows: a kind of voltage of distribution system three-phase power flow
Initial value method to set up, comprises the following steps:
A, formation branch node annexation array br；
Branch node annexation array br by power transmission line branch data and transformer branch data genaration, in array br
Each branch road comprises branch road first node i, minor details period j and connection group other number designation m tri-, wherein power transmission line branch road even
Connecing the other number designation of group is 0.Form branch node annexation array br to comprise the following steps:
A1, take first node i, minor details period j and connection group other number designation m shape of power transmission line branch road and transformer branch
Become array br1, connection group other number designation m of power transmission line branch road is 0, if branch road number is nbr0；
A2, form array br2 with array br1, and exchange array br2 each branch road first and last node number, the other numeral of connection group
Label is changed into 12-m, and the other number designation of connection group is constant when 0；
A3, packed array br1 and array br2 form array br, and total data number is nbr=2 × nbr0；
B, array br is ranked up；
Array br is pressed with the ascending sequence of first node number, and records each node as the first node of branch road with array bris
Original position in array br.Wherein: array element bris1=1, array element brisn+1=nbr+1, then array element
brisi+1- 1 is the end position in array br for the first node as branch road for the node i.Here n is the nodes of distribution system.
C, array br is scanned for, the phase angle initial value of each node voltage is set；
The phase angle initial value of each node voltage is set, comprises the following steps:
C1, make n dimension access identities array check set to 0, and make counting variable k=1；
C2, set balance nodes number as s, make the phase angle initial value θ of balance nodes a phasesa=0 °, balance nodes access identities
checksPut 1, and make array element grk=s.Array gr deposit accessed node and with these sections that accessed node is connected
Point；
C3, make i=grk, p=brisi；
C4, set array element brpBranch road end-node be j, the other number designation of connection group be m；
Whether c5, decision node j accessed, if node j accessed, went to step c8；
C6, by following formula calculate node j node voltage phase angle initial value；
C7, put checkj=1, node number j is appended in gr array；
C8, make p=p+1；
C9, judge that whether p is more than brisi+1- 1, if p is not more than brisi+1- 1, then go to step c4.
C10, make k=k+1.
C11, judge that whether k is more than nodes n, if k is not more than nodes n, go to step c3；Otherwise terminate.
D, adjust each node three-phase voltage phase angle initial value so as to main value (- 180 °, 180 °] in the range of；
By the integral multiple to the phase angle initial value of each node three-phase voltage plus or minus 360 °, adjust each node three-phase electricity
Pressure phase angle initial value so as to main value (- 180 °, 180 °] in the range of；(- 180 °, 180 °] represent more than -180 ° but be less than or equal to
180 ° of interval.
E, the amplitude of the three-phase voltage of all nodes of setting；Start the amplitude that principle arranges each node three-phase voltage by flat,
Arranging all pv nodes and the amplitude of balance nodes three-phase voltage is set-point, arranges the amplitude of all pq node three-phase voltages
For 1.0；Terminate.
Compared with prior art, the method have the advantages that
The present invention taken into full account transformator voltage-phase move, by search for distribution system in branch road, determine node it
Between annexation, according to the other number designation of branch road connection group arrange connected node three-phase node voltage phase angle initial value.
The phase angle initial value that the phase angle initial value of branch road end-node a phase node voltage is set to branch road first node a phase node voltage deducts branch road
The number of degrees of 30 times of the other number designation of connection group.The phase angle initial value of branch road end-node b phase node voltage is set to delayed branch road
120 ° of the phase angle initial value of end-node a phase node voltage, the phase angle initial value of branch road end-node c phase node voltage is set to advanced branch road
120 ° of the phase angle initial value of end-node a phase node voltage；The amplitude initial value of the node voltage of each node is still set by flat startup principle
Put.The voltage initial value of each node is set by the present invention, the solution of set each node voltage initial value and Load flow calculation can be made more
Close, improve the convergence of distribution system three-phase power flow, so that situation about originally not restraining using flat startup can be restrained,
Originally the situation iterationses using flat startup convergence are less.
Brief description
The present invention has 3, accompanying drawing.Wherein:
Fig. 1 is the flow chart of existing distribution system three-phase power flow voltage initial value method to set up.
Fig. 2 is the flow chart of distribution system three-phase power flow voltage initial value method to set up of the present invention.
Fig. 3 is distribution system 33 node example wiring diagram.
Specific embodiment
Below in conjunction with the accompanying drawings the present invention is described further, according to the flow process of voltage initial value method to set up shown in Fig. 2
33 node examples shown in Fig. 3 are calculated.
33 node examples have 33 nodes, and its interior joint 1 is balance nodes, and node 11 is pv node, and other nodes are pq
Node；There are 32 branch roads, wherein have 1 transformer branch, between node 10 and node 11.
Using existing voltage initial value method to set up and voltage initial value method to set up proposed by the present invention, 33 node examples are entered
Go calculating, during calculating, convergence precision is 0.000001.Constringent to Load flow calculation in order to reflect that transformator connects group
Impact, sets transformator respectively and connects group as yy0, yd1, yy2, yd3, yy4, yd5, yy6, yd7, yy8, yd9, yy10, yd11
Totally 12 kinds of situations are calculated.Iterationses using the Load flow calculation of two kinds of voltage initial value methods to set up the results are shown in Table 1.
1 two kinds of voltage initial value method to set up Load flow calculation iterationses of table compare
As seen from Table 1, Load flow calculation, 12 kinds of transformations are carried out using voltage initial value method to set up of the present invention to 33 node examples
Device connects group can restrain, and iterationses are all 4 times；Existing voltage initial value method to set up carries out trend meter to 33 node examples
Calculate, 12 kinds of transformators connect in group has 8 kinds not restrain, only 4 kinds convergences, but iterationses are more than the inventive method.Example
Result of calculation shows that voltage initial value method to set up of the present invention can greatly improve the convergence of distribution system three-phase power flow.
So that transformator connection group is as yd3 as a example, compare the portion of voltage initial value method to set up Load flow calculation of the present invention
The initial value of partial node a phase voltage phase angle and flow solution, comparing result is shown in Table 2.
The initial value of part of nodes a phase voltage phase angle of table 2 present invention and flow solution
| Node number | Initial value (°) | Flow solution (°) |
| 1 | 0.00 | 0.00 |
| 2 | 0.00 | 0.05 |
| 3 | 0.00 | 0.32 |
| 4 | 0.00 | 0.53 |
| 5 | 0.00 | 0.76 |
| 6 | 0.00 | 1.00 |
| 7 | 0.00 | 0.83 |
| 8 | 0.00 | 1.18 |
| 9 | 0.00 | 1.56 |
| 10 | 0.00 | 1.96 |
| 11 | -90.00 | -87.94 |
| 12 | -90.00 | -87.93 |
| 13 | -90.00 | -88.03 |
| 14 | -90.00 | -88.11 |
| 15 | -90.00 | -88.15 |
| 16 | -90.00 | -88.18 |
| 17 | -90.00 | -88.26 |
| 18 | -90.00 | -88.27 |
As seen from Table 2, when transformator connects group for yd3, due to the phase shift effect of transformator, node 11～node 18
More delayed than node 1～node 10 nearly 90 ° of the Load flow calculation value of node voltage phase angle.Using voltage initial value method to set up handle of the present invention
The node a phase voltage phase angle initial value of node 11～node 18 is set to -90 °, and the solution of Load flow calculation is more or less the same, Load flow calculation
Easily restrain；If the node a phase voltage phase angle initial value of node 11～node 18 is set to 0 °, and trend meter by flat startup
The solution calculated differs greatly, and Load flow calculation is not easy to restrain, or even dissipates.
The present invention can be realized using any programming language and programmed environment, such as c language, c++, fortran,
Delphi etc..Development environment can adopt visual c++, borland c++builder, visual fortran etc..
The present invention is not limited to the present embodiment, any equivalent concepts in the technical scope of present disclosure or change
Become, be all classified as protection scope of the present invention.
Claims (1)
1. a kind of voltage initial value method to set up of distribution system three-phase power flow it is characterised in that: comprise the following steps:
A, formation branch node annexation array br；
Branch node annexation array br by power transmission line branch data and transformer branch data genaration, in array br each
Branch road comprises branch road first node i, minor details period j and connection group other number designation m tri-, wherein power transmission line branch road connection group
Other number designation is 0；Form branch node annexation array br to comprise the following steps:
A1, power transmission line branch road and first node i, minor details period j and connection group other number designation m of transformer branch is taken to form number
Group br1, connection group other number designation m of power transmission line branch road is 0, if branch road number is nbr0；
A2, form array br2 with array br1, and exchange array br2 each branch road first and last node number, the other number designation of connection group
It is changed into 12-m, the other number designation of connection group is constant when 0；
A3, packed array br1 and array br2 form array br, and total data number is nbr=2 × nbr0；
B, array br is ranked up；
Array br is pressed with the ascending sequence of first node number, and records each node with array bris and counting as the first node of branch road
Original position in group br；Wherein: array element bris1=1, array element brisn+1=nbr+1, then array element
brisi+1- 1 is the end position in array br for the first node as branch road for the node i；Here n is the nodes of distribution system；
C, array br is scanned for, the phase angle initial value of each node voltage is set；
The phase angle initial value of each node voltage is set, comprises the following steps:
C1, make n dimension access identities array check set to 0, and make counting variable k=1；
C2, set balance nodes number as s, make the phase angle initial value θ of balance nodes a phasesa=0 °, balance nodes access identities checksPut
1, and make array element grk=s；Array gr deposit accessed node and with these nodes that accessed node is connected；
C3, make i=grk, p=brisi；
C4, set array element brpBranch road end-node be j, the other number designation of connection group be m；
Whether c5, decision node j accessed, if node j accessed, went to step c8；
C6, by following formula calculate node j node voltage phase angle initial value；
C7, put checkj=1, node number j is appended in gr array；
C8, make p=p+1；
C9, judge that whether p is more than brisi+1- 1, if p is not more than brisi+1- 1, then go to step c4；
C10, make k=k+1；
C11, judge that whether k is more than nodes n, if k is not more than nodes n, go to step c3；Otherwise terminate；
D, adjust each node three-phase voltage phase angle initial value so as to main value (- 180 °, 180 °] in the range of；
By the integral multiple to the phase angle initial value of each node three-phase voltage plus or minus 360 °, adjust each node three-phase voltage
Phase angle initial value so as to main value (- 180 °, 180 °] in the range of；(- 180 °, 180 °] represent more than -180 ° but less than or equal to 180 °
Interval；
E, the amplitude of the three-phase voltage of all nodes of setting；Start, by flat, the amplitude that principle arranges each node three-phase voltage, that is, set
Putting all pv nodes and the amplitude of balance nodes three-phase voltage is set-point, and the amplitude arranging all pq node three-phase voltages is
1.0；Terminate.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN108281967A (en) * | 2018-01-04 | 2018-07-13 | 国网浙江省电力有限公司电力科学研究院 | A kind of algorithm startup method improving electric power system tide computational convergence |
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|---|---|---|---|---|
| WO2007048420A1 (en) * | 2005-10-24 | 2007-05-03 | Conergy Ag | Inverter |
| CN101938124A (en) * | 2010-07-22 | 2011-01-05 | 大连海事大学 | Matrix analysis method of power system network topology |
| CN101976838A (en) * | 2010-10-15 | 2011-02-16 | 大连海事大学 | Newton-process power flow calculation method for study purpose |
| CN104037764A (en) * | 2014-07-03 | 2014-09-10 | 大连海事大学 | Rectangular coordinate Newton method load flow calculation method with changeable Jacobian matrix |
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2016
- 2016-10-17 CN CN201610903352.7A patent/CN106356860B/en not_active Expired - Fee Related
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2007048420A1 (en) * | 2005-10-24 | 2007-05-03 | Conergy Ag | Inverter |
| CN101938124A (en) * | 2010-07-22 | 2011-01-05 | 大连海事大学 | Matrix analysis method of power system network topology |
| CN101976838A (en) * | 2010-10-15 | 2011-02-16 | 大连海事大学 | Newton-process power flow calculation method for study purpose |
| CN104037764A (en) * | 2014-07-03 | 2014-09-10 | 大连海事大学 | Rectangular coordinate Newton method load flow calculation method with changeable Jacobian matrix |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108281967A (en) * | 2018-01-04 | 2018-07-13 | 国网浙江省电力有限公司电力科学研究院 | A kind of algorithm startup method improving electric power system tide computational convergence |
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