CN106356860B - A kind of voltage initial value setting method of distribution system three-phase power flow - Google Patents
A kind of voltage initial value setting method of distribution system three-phase power flow Download PDFInfo
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- CN106356860B CN106356860B CN201610903352.7A CN201610903352A CN106356860B CN 106356860 B CN106356860 B CN 106356860B CN 201610903352 A CN201610903352 A CN 201610903352A CN 106356860 B CN106356860 B CN 106356860B
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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 a kind of voltage initial value setting methods of distribution system three-phase power flow, include the following steps：Form branch node connection relation array Br；Array Br is ranked up；Array Br is scanned for, the phase angle initial value of each node voltage is set；Adjust the phase angle initial value of each node three-phase voltage；The amplitude of the three-phase voltage of all nodes is set.The present invention has fully considered that the voltage-phase of transformer moves, and by searching for branch in distribution system, determines the connection relation between node, the phase angle initial value of the three-phase node voltage of connected node is arranged according to the other number designation of branch connection group.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 closer, improve the convergence of distribution system three-phase power flow, allow to restrain the case where convergence using flat startup originally, it is originally less using flat the case where starting convergence iterations.
Description
Technical field
The present invention relates to a kind of distribution system Three Phase Power Flow, especially a kind of distribution system three-phase power flow
Voltage initial value setting method.
Background technology
Electric system by production, transformation, conveying, distribution and using electric energy form very huge of equipment (element) and
Complicated entity, is divided into transmission system and distribution system two parts.Transmission system mainly plays transformation and conveying electric energy,
Voltage class is very high；Distribution system mainly plays transformation and distribution electric energy, and voltage class is relatively low.
It is a basic calculating for studying power system mesomeric state operation that electric power system tide, which calculates, it is according to given operation
Condition and network structure determine the operating status of whole network.Load flow calculation is also the basis of other analyses of electric system, is such as pacified
Complete analysis, transient stability analysis etc. will use Load flow calculation.
Distribution system is made of distribution line, distribution transformer, panel switches, distribution capacitor and distribution load etc.
A network system of electric energy is directly distributed to terminal user.Power System Analysis is carried out firstly the need of to each in electric system
Element establishes suitable model.It is different from the three-phase symmetrical method of operation of high voltage power transmisson system, the load and network of distribution system
All may be asymmetric, when distribution system carries out Load flow calculation, the characteristics of being considered as asymmetrical three-phase, carry out three-phase power flow.
Therefore the premise of distribution system three-phase power flow is to establish the triphase flow of each element of distribution system.
The three-phase transformer model of single-phase Load flow calculation uses transformer single phase model, people to be generally only concerned transformer change
Than and equivalent impedance.But in distribution system three-phase power flow, transformer model is more complex, not only to consider transformer
No-load voltage ratio and equivalent impedance, will also be concerned about whether the connection type of transformer winding and connection group and neutral point are grounded etc. and to ask
Topic.The primary and secondary side of three-phase transformer respectively has 3 windings, the head end of three-phase windings and end is attached, and symmetrically
Three-phase head end is drawn, there are two types of connection types：One is one end of three-phase transformer three-phase windings is connected together, the other end draws
Go out, referred to as three-phase transformer star-like connection or Y connections；Another kind is successively by the head end of a phase winding and another phase winding end
Connect into triangle, the referred to as connection of three-phase transformer triangle or D connections.
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
When group is star-like connection, marked as Y (primary side winding) and y (vice-side winding), when neutral point is drawn, marked as YN or yn；Winding
When being connected for triangle, marked as D (primary side winding) and d (vice-side winding).
Since the former and deputy side winding of three-phase transformer is likely to be connected into star or triangle, three-phase transformer it is former and deputy
The different connections of side winding can obtain multiple combinations, and wherein delta connection can be divided into left lateral wiring and right lateral wiring, star
The neutral point of connection be divided into again ground connection and it is earth-free.After these connection types are combined, 16 kinds of combinations can be obtained.
The polarity possibility of the former and deputy side winding of three-phase transformer is identical may also be on the contrary, there are two types of polarity so each is combined
Relationship.
The former and deputy side winding of three-phase transformer is each may mutually to be corresponded, i.e. A, B, C phase of primary side winding correspond respectively to
A, b, c phase of vice-side winding, corresponding winding is on same iron core；The former and deputy side winding of three-phase transformer is each mutually may not also be right
It answers, i.e. the A of primary side winding corresponds to the b phases or c phases of vice-side winding, but to meet positive between the three-phase voltage of vice-side winding
The relationship of sequence, therefore each polarity corresponds to 3 kinds of phase relations.
So having 6 kinds of phase relations under each connection combination of three-phase transformer, then 16 kinds of combinations share 96
Kind connection group.
The other number designation of three-phase transformer connection group indicates that new national standard is using former and deputy using the clock ordinal number of phase difference
The phase difference of the corresponding phase voltage phasor in side judges, is with reference to 0 point of clock of direction with the phase voltage phasor of primary side, secondary side is corresponding
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.It is 0,2,4,6,8,10 point of idol when three-phase transformer both sides all use identical connection type, i.e. Yy, Dd
Several wiring；Three-phase transformer side using the star-star connection other side use delta connection, i.e. Yd, Dy when, be 1,3,5,7,
9,11 points of odd point wiring.
In transmission system, since three-phase load and network are all symmetrical, the voltage (or electric current) of transmission system everywhere
It is also symmetrical, i.e., three-phase voltage (or electric current) is equal in magnitude, and phase differs 120 ° between two-phase voltage (or electric current), B phases
120 ° of A phases are lagged, C phases lag 120 ° of B phases.When analysis calculates, the electricity of a certain phase (such as A phases) can be calculated with single-phase equivalent circuit
It presses (or electric current), the voltage (or electric current) of other two-phases directly writes out result according to symmetric relation.Three-phase in single-phase equivalent circuit
Transformer model only has transformer voltage ratio and equivalent impedance.
In a power distribution system, since three-phase load and network are asymmetric, the voltage (or electric current) of distribution system everywhere is not yet
It is symmetrical, when analysis calculates, it is necessary to be calculated together using three-phase circuit model.The three-phase transformer mould in three-phase equivalent circuit
Type will not only consider transformer voltage ratio and equivalent impedance, it is also contemplated that the connection group of the primary side winding of transformer and vice-side winding
Not.
The characteristics of according to electric system node, electric system node is divided into 3 classes by Load flow calculation：Node active power and nothing
The node that work(power is known, node voltage amplitude and voltage phase angle are unknown is known as PQ nodes；Node active power and voltage magnitude
Known, node reactive power and the unknown node of voltage phase angle are known as PV node；Node voltage amplitude and voltage phase angle are it is known that section
Point active power and the unknown node of reactive power are known as balance nodes.
The power equation or current equation of Load flow calculation are nonlinear equations, it is necessary to be solved using iterative manner.Iteration side
When method solves Load flow calculation problem, the initial value for setting each node voltage is needed.Voltage initialization is generally started using flat, single-phase tide
When stream calculation sets voltage initial value using flat startup, the node voltage amplitude of PV node and balance nodes draws definite value, PQ nodes
Node voltage amplitude take 1.0；The phase angle of all node voltages all takes 0.0.Three-phase power flow sets voltage using flat start
When 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 nodes
Take 1.0；The phase angle of all node A phase voltages all takes 0 °, and the phase angle of B phase voltages all takes -120 °, and the phase angle of C phase voltages all takes
120°.Here unit all uses perunit value in addition to phase angle.
As shown in Figure 1, the setting method of existing distribution system three-phase power flow voltage initial value, includes mainly following step
Suddenly：
A, setting node counts variable i=1；
B, whether decision node i is that PQ nodes go to step C if not PQ nodes；Otherwise, setting node is electric as the following formula
Pressure amplitude value：
UiA=UiB=UiC=1.0 (1)
In formula, UiA、UiB、UiCThe respectively three-phase node voltage amplitude of node i；
Go to step D；
C, node voltage amplitude is arranged in PV node and balance nodes as the following formula：
In formula, UiAS、UiBS、UiCSThe respectively three-phase node voltage amplitude given value of node i.
D, node voltage phase angle is arranged in all nodes as the following formula：
E, counting variable i=i+1；
F, judge whether i is more than number of nodes n, if i is more than n, terminate；Otherwise, it goes to step B and carries out next node voltage
The setting of initial value.
Since single-phase Load flow calculation does not consider that the voltage-phase of transformer moves, the phase angle difference of each node voltage is less big,
It uses flat startup that voltage phase angle initial value is set for 0 °, convergence problem will not be brought to Load flow calculation.Three-phase power flow then needs
Consider that the voltage-phase of transformer moves, if directly using the flat phase angle initial value that each node A phase voltages are arranged that starts for 0 °, B
The phase angle initial value of phase voltage is -120 °, the phase angle initial value of C phase voltages is 120 °, then the voltage of certain nodes can then deviate tide
The solution of stream calculation is too far, and Load flow calculation is caused to dissipate.
Invention content
To solve the above problem of the existing technology, the present invention will propose a kind of electricity of distribution system three-phase power flow
Initial value setting method is pressed, can fully consider that the voltage-phase of transformer moves, according to the different other numbers of transformer connection group
The phase angle initial value of each node voltage is arranged in label so that and the solution of set each node voltage initial value and Load flow calculation is close, into
And improve the convergence of distribution system three-phase power flow.
To achieve the goals above, technical scheme is as follows：A kind of voltage of distribution system three-phase power flow
Initial value setting method, includes the following steps：
A, branch node connection relation array Br is formed；
Branch node connection relation array Br is generated by power transmission line branch data and transformer branch data, in array Br
Each branch includes branch first node i, minor details period j and the other number designation m of connection group tri-, and wherein power transmission line branch connects
It is 0 to connect the other number designation of group.Branch node connection relation array Br is formed to include the following steps：
A1, the first node i for taking power transmission line branch and transformer branch, minor details period j and the other number designation m shapes of connection group
At array Br1, the other number designation m of connection group of power transmission line branch is 0, if branch number is nBr0；
A2, array Br2 is formed with array Br1, and exchanges each branch first and last node numbers of array Br2, the other number of connection group
Label becomes 12-m, and connection group other number designation is constant when being 0；
A3, merge array Br1 and array Br2 formation array Br, total data number is nBr=2 × nBr0；
B, array Br is ranked up；
The ascending sequence of first node number is pressed to array Br, array BrIS is used in combination to record first node of each node as branch
Initial position in array Br.Wherein：Array element BrIS1=1, array element BrISn+1=nBr+1, then array element
BrISi+1- 1 end position of the first node in array Br for node i as branch.Here n is the number of 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, is included the following steps：
C1, it enables n dimensions access identities array Check set to 0, and enables counting variable k=1；
C2, balance nodes number are set as s, enables the phase angle initial value θ of balance nodes A phasessA=0 °, balance nodes access identities
Checks1 is set, and enables array element Grk=s.Array Gr storage accessed node and with these sections that accessed node is connected
Point；
C3, i=Gr is enabledk, p=BrISi；
C4, array element Br is setpBranch end-node be j, the other number designation of connection group be m；
Whether C5, decision node j had accessed, and C8 was gone to step if node j has been accessed；
C6, by following formula calculate node j node voltage phase angle initial value；
C7, Check is setj=1, node number j is appended in Gr arrays；
C8, p=p+1 is enabled；
C9, judge whether p is more than BrISi+1- 1, if p is not more than BrISi+1- 1, then go to step C4.
C10, k=k+1 is enabled.
C11, judge whether k is more than number of nodes n, C3 is gone to step if k is not more than number of nodes n；Otherwise terminate.
D, the phase angle initial value for adjusting each node three-phase voltage, make its main value (- 180 °, 180 °] in range；
By the phase angle initial value plus or minus 360 ° of integral multiple to each node three-phase voltage, each node three-phase electricity is adjusted
The phase angle initial value of pressure, make its main value (- 180 °, 180 °] in range；(- 180 °, 180 °] it indicates more than -180 ° but is less than or equal to
180 ° of section.
E, the amplitude of the three-phase voltage of all nodes is set；The amplitude of each node three-phase voltage is set by flat startup principle,
The amplitude that all PV nodes and balance nodes three-phase voltage are arranged is given value, and the amplitude of all PQ nodes three-phase voltages is arranged
It is 1.0；Terminate.
Compared with prior art, the invention has the advantages that：
The present invention fully considered transformer voltage-phase move, by search for distribution system in branch, determine node it
Between connection relation, the phase angle initial value of the three-phase node voltage of connected node is set according to the other number designation of branch connection group.
The phase angle initial value that the phase angle initial value of branch end-node A phase node voltages is set as branch first node A phase node voltages subtracts branch
30 times of the number of degrees of the other number designation of connection group.The phase angle initial value of branch end-node B phase node voltages is set as lag branch
The phase angle initial value of 120 ° of the phase angle initial value of end-node A phase node voltages, branch end-node C phase node voltages is set as advanced branch
120 ° of the phase angle initial value of end-node A phase node voltages；The amplitude initial value of the node voltage of each node is still set by flat startup principle
It sets.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
It is close, the convergence of distribution system three-phase power flow is improved, allows to restrain the case where convergence using flat startup originally,
It is originally less using flat the case where starting convergence iterations.
Description of the drawings
The present invention shares attached drawing 3 and opens.Wherein：
Fig. 1 is the flow chart of existing distribution system three-phase power flow voltage initial value setting method.
Fig. 2 is the flow chart of distribution system three-phase power flow voltage initial value setting method of the present invention.
Fig. 3 is 33 node example wiring diagram of distribution system.
Specific implementation mode
The present invention is described further below in conjunction with the accompanying drawings, according to the flow of voltage initial value setting method shown in Fig. 2
33 node example shown in Fig. 3 is calculated.
It is balance nodes that 33 node examples, which have 33 nodes, interior joint 1, and node 11 is PV node, and other nodes are PQ
Node；There are 32 branches, wherein having 1 transformer branch, between node 10 and node 11.
Using existing voltage initial value setting method and 33 node example of voltage initial value setting method pair proposed by the present invention into
Calculating is gone, convergence precision is 0.000001 when calculating.In order to reflect that transformer connects group to the constringent of Load flow calculation
It influences, sets transformer respectively and connect group as Yy0, Yd1, Yy2, Yd3, Yy4, Yd5, Yy6, Yd7, Yy8, Yd9, Yy10, Yd11
Totally 12 kinds of situations are calculated.1 is the results are shown in Table using the iterations of the Load flow calculation of two kinds of voltage initial value setting methods.
1 two kinds of voltage initial value setting method Load flow calculation iterations of table compare
As seen from Table 1, Load flow calculation, 12 kinds of transformations are carried out using 33 node example of voltage initial value setting method pair of the present invention
Device connection group can restrain, and iterations are all 4 times；33 node example of existing voltage initial value setting method pair carries out trend meter
It calculates, there are 8 kinds not restrain in 12 kinds of transformer connection groups, only 4 kinds convergences, but iterations are more than the method for the present invention.Example
Result of calculation shows that voltage initial value setting method of the present invention can greatly improve the convergence of distribution system three-phase power flow.
By taking transformer connection group is Yd3 as an example, the portion of voltage initial value setting method Load flow calculation of the present invention is compared
The initial value and flow solution of partial node A phase voltage phase angles, comparing result are shown in Table 2.
The initial value and flow solution of the part of nodes A phase voltage phase angles of 2 present invention of table
| 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 transformer connection group is Yd3, since the phase shift of transformer acts on, 11~node of node 18
The Load flow calculation value of node voltage phase angle lags nearly 90 ° than 1~node of node 10.Using voltage initial value setting method handle of the present invention
The node A phase voltage phase angle initial values of 11~node of node 18 are set as -90 ° and the solution of Load flow calculation is not much different, Load flow calculation
It is easy convergence；If the node A phase voltage phase angle initial values of 11~node of node 18 are set as 0 °, and trend meter by flat startup
The solution of calculation differs greatly, and Load flow calculation is not easy to restrain, or even diverging.
The present invention may be used any type programming language and programmed environment and realize, as C language, C++, FORTRAN,
Delphi etc..Visual C++, Borland C++Builder, Visual FORTRAN etc. may be used in development environment.
The present invention is not limited to the present embodiment, any equivalent concepts in the technical scope of present disclosure or changes
Become, is classified as protection scope of the present invention.
Claims (1)
1. a kind of voltage initial value setting method of distribution system three-phase power flow, it is characterised in that：Include the following steps：
A, branch node connection relation array Br is formed；
Branch node connection relation array Br is generated by power transmission line branch data and transformer branch data, each in array Br
Branch includes branch first node i, minor details period j and the other number designation m of connection group tri-, wherein power transmission line branch connection group
Other number designation is 0；Branch node connection relation array Br is formed to include the following steps：
A1, the first node i for taking power transmission line branch and transformer branch, minor details period j and the other number designation m of connection group are formed
The other number designation m of connection group of array Br1, power transmission line branch are 0, if branch number is nBr0；
A2, array Br2 is formed with array Br1, and exchanges each branch first and last node numbers of array Br2, the other number designation of connection group
Become 12-m, connection group other number designation is constant when being 0；
A3, merge array Br1 and array Br2 formation array Br, total data number is nBr=2 × nBr0；
B, array Br is ranked up；
The ascending sequence of first node number is pressed to array Br, array BrIS is used in combination to record each node as the first node of branch in number
Initial position in group Br；Wherein：Array element BrIS1=1, array element BrISn+1=nBr+1, then array element
BrISi+1- 1 end position of the first node in array Br for node i as branch；Here n is the number of 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, is included the following steps：
C1, it enables n dimensions access identities array Check set to 0, and enables counting variable k=1；
C2, balance nodes number are set as s, enables the phase angle initial value θ of balance nodes A phasessA=0 °, balance nodes access identities ChecksIt sets
1, and enable array element Grk=s；Array Gr storage accessed node and with these nodes that accessed node is connected；
C3, i=Gr is enabledk, p=BrISi；
C4, array element Br is setpBranch end-node be j, the other number designation of connection group be m；
Whether C5, decision node j had accessed, and C8 was gone to step if node j has been accessed；
C6, by following formula calculate node j node voltage phase angle initial value；
C7, Check is setj=1, node number j is appended in Gr arrays；
C8, p=p+1 is enabled；
C9, judge whether p is more than BrISi+1- 1, if p is not more than BrISi+1- 1, then go to step C4；
C10, k=k+1 is enabled；
C11, judge whether k is more than number of nodes n, C3 is gone to step if k is not more than number of nodes n；Otherwise terminate；
D, the phase angle initial value for adjusting each node three-phase voltage, make its main value (- 180 °, 180 °] in range；
By the phase angle initial value plus or minus 360 ° of integral multiple to each node three-phase voltage, each node three-phase voltage is adjusted
Phase angle initial value, make its main value (- 180 °, 180 °] in range；(- 180 °, 180 °] it indicates more than -180 ° but is less than or equal to 180 °
Section；
E, the amplitude of the three-phase voltage of all nodes is set；The amplitude of each node three-phase voltage is set by flat startup principle, that is, is set
The amplitude for setting all PV nodes and balance nodes three-phase voltage is given value, and the amplitude that all PQ nodes three-phase voltages are arranged is
1.0；Terminate.
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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 |
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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 |
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