CN106451460B - A kind of equivalent modeling method of rotary current controller - Google Patents
A kind of equivalent modeling method of rotary current controller Download PDFInfo
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- CN106451460B CN106451460B CN201610877641.4A CN201610877641A CN106451460B CN 106451460 B CN106451460 B CN 106451460B CN 201610877641 A CN201610877641 A CN 201610877641A CN 106451460 B CN106451460 B CN 106451460B
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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]
Abstract
The invention discloses a kind of equivalent modeling methods of rotary current controller, include the following steps: S1, and the dynamic mathematical models of RPFC are constructed according to the three-phase equivalent circuit of RPFC；S2 establishes equivalent circuit for RPFC, the equivalent circuit of RPFC simplify the Equivalent Model of creation RPFC according to the definition of positive sequence, negative phase-sequence, zero sequence in three sequence phasors；S3 obtains the offset voltage and the positive sequence and negative sequence component of parallel branch electric current, the no-load voltage ratio of RPFC and positive sequence Equivalent Model, negative phase-sequence Equivalent Model, the impedance in zero sequence equivalent model of RPFC generation according to the dynamic mathematical models of RPFC and Equivalent Model；Collectively constitute the equivalent model of the three sequence phasors of RPFC.The equivalent model accuracy of three sequence phasors for the RPFC that this method is established is higher, can be effectively reduced the complexity of RPFC, convenient for carrying out accident analysis to the transmission line of electricity containing RPFC.It is provided convenience to carry out the various analysis and research of the electric system containing RPFC.
Description
Technical field
The present invention relates to a kind of equivalent modeling methods of rotary current controller, belong to Simulating technique in Electric Power System field.
Background technique
With the fast development and constantly expansion of electric system, the structure of transmission and distribution network is increasingly complicated, electric network swim control
Flexibility it is also more and more important.Flow controller is the important means for realizing flexible alternating current power transmission and distribution, and rotary current controls
Device (Rotary Power Flow Controller, referred to as RPFC) is then one of important composition link therein.
The typical structure of RPFC is as shown in Figure 1, including series transformer Tse, shunt transformer Tsh and RPST1
(the first rotation phase-shifting transformer) and RPST2 (the second rotation phase-shifting transformer).Rotate phase-shifting transformer (Rotary Phase
Shifting Transformer, referred to as RPST) it is one of core component and rotary part of rotary current controller.
The stator winding of RPST1 and RPST2 is connected, and is connected to the primary side of series transformer, the secondary side of series transformer then connect access it is defeated
Electric line；The rotor windings of RPST1 and RPST2 are in parallel, are connected to the secondary side of shunt transformer, the primary side of shunt transformer is then in parallel
Access transmission line of electricity.In figure,The sending end busbar voltage of route where RPFC,For the receiving end busbar voltage of the route, ZL
For line impedance；The offset voltage of route is injected for RPFC,Then for through the compensated sending end voltage of RPFC；ω 1 and ω 2
The respectively angular rate of RPST1 and RPST2 rotor, α 1 and α 2 are respectively the electrical angle of RPST1 and RPST2 rotor.Through overwinding
Change of tide stream controller can carry out transformation processing to the sending end busbar voltage of the place RPFC route, later will be compensated through RPFC
Sending end voltage is transported to route.
But RPFC's is more complicated in itself, at certain power system simulation softwares (such as common BPA, PSASP etc.)
In establish RPFC model library element, the various analysis and research relative difficulties for carrying out the electric system containing RPFC are larger, so passing through
RPFC modeling is very necessary to reduce the complexity of RPFC.For RPFC modeling method, asymmetrical is especially considered
Under RPFC modeling method, there is no relevant research achievement.For the ease of carrying out accident analysis to the transmission line of electricity containing RPFC,
It is necessary to further investigate the three sequence phasor equivalent models of RPFC.
Summary of the invention
In view of the deficiencies of the prior art, technical problem to be solved by the present invention lies in provide a kind of rotary current controller
Equivalent modeling method.
For achieving the above object, the present invention uses following technical solutions:
A kind of equivalent modeling method of rotary current controller, includes the following steps:
S1 constructs the dynamic mathematical models of RPFC according to the three-phase equivalent circuit of RPFC；
S2 establishes equivalent circuit according to the definition of positive sequence, negative phase-sequence, zero sequence in three sequence phasors for RPFC, by whirl tide flow control
Branch in the equivalent circuit of device processed where shunt transformer is equivalent to current source in parallel；By the equivalent of rotary current controller
All impedances of branch are combined and can be equivalent to a series impedance where series transformer in circuit, obtain the equivalence of RPFC
Model；
S3 obtains the offset voltage and parallel branch electricity of RPFC generation according to the dynamic mathematical models of RPFC and Equivalent Model
The positive sequence and negative sequence component of stream, the no-load voltage ratio of RPFC and positive sequence Equivalent Model, negative phase-sequence Equivalent Model, the resistance in zero sequence equivalent model
It is anti-；Collectively constitute the equivalent model of the three sequence phasors of RPFC.
Wherein more preferably, in step sl, the dynamic mathematical models of RPFC, packet are constructed according to the three-phase equivalent circuit of RPFC
Include following steps:
S11 creates the single-phase equivalent circuit of RPFC；
S12 obtains electricity in three-phase equivalent circuit according to the model of simplified RPFC and the single-phase equivalent circuit of RPFC
Pressure, current relationship, create the voltage equation and current equation of RPFC；
S13 creates the movement side of RPFC according to the first of RPFC the rotation phase-shifting transformer and the second rotation phase-shifting transformer
Journey；
The voltage equation of RPFC, current equation and equation of motion simultaneous are obtained the dynamic mathematical models of RPFC by S14.
Wherein more preferably, in step s 2, the equivalent circuit that RPFC is established includes positive sequence equivalent circuit, negative phase-sequence equivalent circuit
With zero sequence equivalent circuit.
Wherein more preferably, in the zero sequence equivalent circuit of RPFC, there is no zero-sequence current circulation, stator winding in rotor windings
In there are zero-sequence current access, single-phase zero sequence equivalent circuit is identical as positive sequence equivalent circuit and negative phase-sequence equivalent circuit.
Wherein more preferably, in step s 2, the equivalent circuit of RPFC simplify the Equivalent Model of creation RPFC, including
Create positive sequence Equivalent Model, negative phase-sequence Equivalent Model and zero sequence equivalent model；
Wherein more preferably, positive sequence Equivalent Model is created, negative phase-sequence Equivalent Model includes the following steps:
Branch where shunt transformer in the equivalent circuit of RPFC is equivalent to current source in parallel；
All impedances of branch where series transformer in the equivalent circuit of RPFC are combined and are equivalent to a series connection
Impedance；
Obtain the positive sequence Equivalent Model and negative phase-sequence Equivalent Model of RPFC.
The equivalent modeling method of rotary current controller provided by the present invention, by the dynamic mathematical models for establishing RPFC
And equivalent model, obtain RPFC generation offset voltage and the positive sequence and negative sequence component of parallel branch electric current, the no-load voltage ratio of RPFC with
And the impedance in positive sequence Equivalent Model, negative phase-sequence Equivalent Model, zero sequence equivalent model；Collectively constitute the equivalent of the three sequence phasors of RPFC
Model.The equivalent model accuracy of three sequence phasors for the RPFC that this method is established is higher, can be effectively reduced the complexity of RPFC
Degree, convenient for carrying out accident analysis to the transmission line of electricity containing RPFC.
Detailed description of the invention
Fig. 1 is the schematic diagram of the typical structure of existing RPFC；
Fig. 2 is the flow chart of the equivalent modeling method of RPFC provided by the present invention；
Fig. 3 is the structural schematic diagram of the single-phase equivalent circuit of RPFC provided by the present invention；
Fig. 4 is the structural schematic diagram of RPFC positive sequence model provided by the present invention；
Fig. 5 is the structural schematic diagram of RPFC positive sequence Equivalent Model provided by the present invention；
Fig. 6 is the structural schematic diagram of RPFC negative phase-sequence model provided by the present invention；
Fig. 7 is the structural schematic diagram of RPFC negative phase-sequence Equivalent Model provided by the present invention；
Fig. 8 is the structural schematic diagram of RPFC zero sequence model provided by the present invention；
Fig. 9 is the structural schematic diagram of RPFC zero sequence equivalent model provided by the present invention；
When Figure 10 is that single-phase earthing fault occurs for load, the realistic model and equivalent model RPFC of RPFC exports offset voltage
Comparing result display diagram；
When Figure 11 is that single-phase earthing fault occurs for load, the realistic model and equivalent model RPFC parallel branch electric current of RPFC
Comparing result display diagram.
Specific embodiment
Detailed specific description is carried out to technology contents of the invention in the following with reference to the drawings and specific embodiments.
As shown in Fig. 2, the equivalent modeling method of rotary current controller provided by the invention, specifically comprises the following steps:
Firstly, constructing the dynamic mathematical models of RPFC according to the three-phase equivalent circuit of RPFC；Then, according to positive sequence in three sequence phasors, negative
The definition of sequence, zero sequence establishes equivalent circuit for RPFC, the Equivalent Model of RPFC is created according to the equivalent circuit of RPFC；Finally, root
The positive sequence of offset voltage and parallel branch electric current that RPFC is generated is obtained according to the dynamic mathematical models and Equivalent Model of RPFC and is born
Order components, the no-load voltage ratio of RPFC and positive sequence Equivalent Model, negative phase-sequence Equivalent Model, the impedance in zero sequence equivalent model；RPFC is generated
Offset voltage and the positive sequence and negative sequence component of parallel branch electric current, the no-load voltage ratio of RPFC and positive sequence Equivalent Model, negative phase-sequence it is equivalent
Impedance in model, zero sequence equivalent model collectively constitutes the equivalent model of the three sequence phasors of RPFC.This process is done in detail below
Thin specific description.
S1 constructs the dynamic mathematical models of RPFC according to the three-phase equivalent circuit of RPFC.
RPST in RPFC is identical as wound asynchronous motor in itself, can do following vacation according to asynchronous machine convention
If:
1) stator, rotor three-phase winding construction are identical, mutually symmetrical with respectively；
2) stator, rotor core are coaxial and surface is smooth, ignore slot effect；
3) magnetomotive force that each phase current of stator, rotor windings generates is in Sine distribution in air gap；
4) magnetic circuit is linear, and does not have magnetic hysteresis and eddy-current loss.
The modeling assumed above that RPFC can be simplified, and the accuracy in power frequency frequency range is not influenced.
The dynamic mathematical models that RPFC is constructed according to the three-phase equivalent circuit of RPFC, specifically comprise the following steps:
S11 creates the single-phase equivalent circuit of RPFC.
According to the single-phase equivalent circuit of the Structure Creating RPFC of RPFC.Wherein, shunt transformer, series transformer, RPST1
It is equivalent to an ideal transformer with RPST2, and the end 1 on ideal transformer pair side and a resistance and a reactance are mutually successively
Series connection.The end 1 of the equivalent ideal transformer primary side of shunt transformer is connected to transmission line of electricity, 2 ground connection of end；RPST1's and RPST2 is equivalent
After the primary side of ideal transformer is in parallel, end 1 is connected to the equivalent reactance of shunt transformer, and end 2 is connected to the equivalent ideal of shunt transformer
The end 2 of transformer secondary；The equivalent reactance of RPST1 is connected to the end 1 of the equivalent ideal transformer primary side of series transformer, RPST1 etc.
The end 2 on effect ideal transformer pair side is connected to the equivalent reactance of RPST2, and the end 2 on RPST2 equivalent ideal transformer pair side is connected to series connection
The end 2 of the equivalent ideal transformer primary side of transformer；The side of transmission line of electricity and series transformer equivalent ideal transformer pair side
End 1 is connected, and the other side is connected with the equivalent reactance of series transformer.By taking A phase as an example, single-phase equivalent circuit such as Fig. 3 institute of RPFC
Show.Wherein, the no-load voltage ratio of shunt transformer is ksh, the substitutional resistance of shunt transformer is Rsh, the equivalent reactance of shunt transformer is
Lsh；The no-load voltage ratio of series transformer is kse, the substitutional resistance of series transformer is Rse, the equivalent reactance of series transformer is Lse；
The no-load voltage ratio of RPST is krpst, the substitutional resistance of RPST is Rrpst, the equivalent reactance of RPST is Lrpst。
S12, according to simplify RPFC model and RPFC single-phase equivalent circuit, obtain three-phase equivalent circuit in voltage,
Current relationship creates the voltage equation and current equation of RPFC.
Preceding to have addressed, the RPST in RPFC is identical as wound asynchronous motor in itself, in the present invention, according to asynchronous electricity
Machine convention, it is assumed that stator, rotor three-phase winding construction are identical, mutually symmetrical with respectively；Each phase current of stator, rotor windings
The magnetomotive force of generation is in Sine distribution in air gap；Magnetic circuit is linear, and does not have magnetic hysteresis and eddy-current loss.It is assumed above can
Simplify the modeling of RPFC, and does not influence the accuracy in power frequency frequency range.
When considering three-phase, the variables such as voltage, electric current are then 3 × 1 column vector, and equivalent inductance and mutual inductance then constitute 3
× 3 matrix.The stator winding of RPST1 and RPST2 is concatenated, therefore the electric current column vector of the two is identical, is denoted as ist:
ist=[istA istB istC]
The rotor windings of RPST1 and RPST2 are in parallel, therefore the rotor voltage column vector of the two is also identical, is denoted as urt:
urt=[urtA urtB urtC]
For RPST1, stator side inductance parameters matrix is denoted as Ls1:
Rotor-side inductance parameters matrix is Lr1:
Rotor mutual inductance parameter matrix is Lsr1:
Stator voltage column vector is denoted as ust1:
ust1=[ustA1 ustB1 ustC1]
Rotor current column vector is denoted as irt1:
irt1=[irtA1 irtB1 irtC1]
For RPST2, stator side inductance parameters matrix is denoted as Ls2:
Rotor-side inductance parameters matrix is Lr2:
Rotor mutual inductance parameter matrix is Lsr2:
Stator voltage column vector is denoted as ust2:
ust2=[ustA2 ustB2 ustC2]
Rotor current column vector is denoted as irt2:
irt2=[irtA2 irtB2 irtC2]
The offset voltage column vector of RPFC injection route is denoted as uc:
uc=[ucA ucB ucC]
The electric current column vector of RPFC series arm is denoted as ise:
ise=[iseA iseB iseC]
The electric current column vector of parallel branch is denoted as ish:
ish=[ishA ishB ishC]
Then, the voltage and current equation of RPFC is writeable are as follows:
Voltage equation:
Current equation:
S13, according to the core component of RPFC: the first rotation phase-shifting transformer and the second rotation phase-shifting transformer, creation
The equation of motion of RPFC.
In voltage equation, ω 1 and the respectively rotor velocity of RPST1 and RPST2 of ω 2.Rotor velocity column vector
It can be denoted as:
ω=[ω1 ω2]
In addition, the column vector of the rotary inertia of its rotor is denoted as J for RPST1 and RPST2:
J=[J1 J2]
Rotor position angle column vector is denoted as α:
α=[α1 α2]
The driving torque phasor of rotor is denoted as TD:
TD=[TD1 TD2]
Electromagnetic torque phasor is denoted as Te:
Te=[Te1 Te2]
So equation of motion of RPFC are as follows:
S14 joins the voltage equation equation group (1) of RPFC, current equation equation group (2) and equation of motion equation group (3)
It is vertical, obtain the dynamic mathematical models of RPFC.
Simultaneous (1), (2), (3) three equation groups, then be the dynamic mathematical models of RPFC.
S2 establishes equivalent circuit for RPFC according to the definition of positive sequence, negative phase-sequence, zero sequence in three sequence phasors, according to RPFC etc.
Imitate the Equivalent Model of circuit creation RPFC.
According to the definition of positive sequence, negative phase-sequence, zero sequence, equivalent circuit is established for RPFC.The equivalent circuit that RPFC is established includes just
Sequence equivalent circuit, negative phase-sequence equivalent circuit and zero sequence equivalent circuit.Wherein, the positive sequence equivalent circuit of RPFC is as shown in figure 4, subscript
" 1 " indicates positive sequence phasor.Wherein, shunt transformer, series transformer, RPST1 and RPST2 are equivalent to an ideal transformation
Device, and the end 1 on ideal transformer pair side is mutually sequentially connected in series with a resistance and a reactance.The equivalent ideal transformation of shunt transformer
The end 1 of device primary side is connected to transmission line of electricity, 2 ground connection of end；After the primary side of the equivalent ideal transformer of RPST1 and RPST2 is in parallel, end 1
It is connected to the equivalent reactance of shunt transformer, end 2 is connected to the end 2 on shunt transformer equivalent ideal transformer pair side；RPST1's is equivalent
Reactance is connected to the end 1 of the equivalent ideal transformer primary side of series transformer, and the end 2 on RPST1 equivalent ideal transformer pair side is connected to
The equivalent reactance of RPST2, the end 2 on RPST2 equivalent ideal transformer pair side are connected to the equivalent ideal transformer primary side of series transformer
End 2；The side of transmission line of electricity is connected with the end 1 on series transformer equivalent ideal transformer pair side, the other side and series-transformer
The equivalent reactance of device is connected.
The negative phase-sequence equivalent circuit of RPFC is as shown in fig. 6, subscript " 2 " indicates negative phase-sequence phasor.Wherein, shunt transformer, series connection
Transformer, RPST1 and RPST2 are equivalent to an ideal transformer, and the end 1 on ideal transformer pair side and a resistance and one
A reactance is mutually sequentially connected in series.The end 1 of the equivalent ideal transformer primary side of shunt transformer is connected to transmission line of electricity, 2 ground connection of end；RPST1
After the primary side parallel connection of the equivalent ideal transformer of RPST2, end 1 is connected to the equivalent reactance of shunt transformer, and end 2 is connected to change in parallel
The end 2 on depressor equivalent ideal transformer pair side；The equivalent reactance of RPST1 is connected to the equivalent ideal transformer primary side of series transformer
The end 2 on end 1, RPST1 equivalent ideal transformer pair side is connected to the equivalent reactance of RPST2, RPST2 equivalent ideal transformer pair side
End 2 is connected to the end 2 of the equivalent ideal transformer primary side of series transformer；The side of transmission line of electricity and the equivalent ideal change of series transformer
The end 1 on depressor pair side is connected, and the other side is connected with the equivalent reactance of series transformer.
The Equivalent Model that RPFC is created according to the equivalent circuit of RPFC, specifically includes following treatment process:
In Fig. 4 and Fig. 6, the branch where shunt transformer in the equivalent circuit of RPFC is equivalent to electric current in parallel
I is used in positive sequence equivalent circuit in sourcesh1It indicates, uses I in negative phase-sequence equivalent circuitsh2It indicates；
All impedances of branch where series transformer in the equivalent circuit of RPFC, which are combined, can be equivalent to a string
Join impedance, since the impedance value in positive sequence equivalent circuit, negative phase-sequence equivalent circuit is identical, therefore uniformly uses ZrpfcIt indicates.
Then, the positive sequence Equivalent Model and negative phase-sequence Equivalent Model of RPFC are obtained, respectively as shown in figure 5 and figure 7.According to RPFC
Positive sequence Equivalent Model and negative phase-sequence Equivalent Model obtain RPFC generation offset voltage and parallel branch electric current positive-sequence component and
Negative sequence component, the no-load voltage ratio of RPFC and positive sequence Equivalent Model, the process of impedance in negative phase-sequence Equivalent Model, it is subsequent carry out it is detailed
Description.
For the zero sequence equivalent circuit of RPFC, consider that shunt transformer uses the Y0/Y mode of connection, single-phase zero sequence is equivalent
Primary side and secondary side disconnect in circuit, while in view of Excitation Impedance of Power Transformer is very big, it can be considered that transformer is primary
Side open circuit.Since RPFC rotor windings are connected in parallel to shunt transformer secondary side, there is no zero-sequence current stream in rotor windings
It is logical.Series transformer forms for three single-phase transformers, therefore its single-phase zero sequence equivalent circuit and positive sequence equivalent circuit and negative phase-sequence
Equivalent circuit is identical.Since two stator winding series connection of RPFC are followed by series transformer secondary side, deposited in stator winding
In zero-sequence current access.Three-phase fundamental component generates centered on the phase winding axis in three-phase stator winding by cosine point
The pulsating mmf of cloth.Only consider fundamental wave magnetomotive force, then has
Wherein, fA, fB, fC respectively indicate three-phase fundamental wave magnetomotive force, and F is the magnetomotive maximum amplitude of fundamental wave, and ω is pulsating
Angular frequency, α are the space electrical angle relative to A phase winding axis.Three-phase synthesizes fundamental wave magnetomotive force
As it can be seen that due to three-phase stator winding space symmetr, three-phase zero sequence magnetic field is in the resultant magnetic field that space is formed
0, so can be only formed the leakage magnetic flux of each phase stator winding.Thus, the zero sequence one phase equivalent circuit of RPFC is as shown in Figure 8.Wherein,
Series transformer is equivalent to an ideal transformer, and the end 1 on equivalent ideal transformer pair side is connected with the side of transmission line of electricity,
End 2 and the other side of an equivalent resistance and an equivalent reactance and transmission line of electricity are sequentially connected in series；RPST1 and RPST2 etc.
Effect resistance and equivalent inductance are sequentially connected in series, and are connected between the end 1 of equivalent ideal paralle transformer primary side and end 2.
The process that the Equivalent Model of RPFC is created according to the equivalent circuit of above-mentioned RPFC, zero sequence one phase equivalent circuit is converted
At zero sequence equivalent model, as shown in Figure 9.According to zero sequence equivalent model, the process of the impedance in zero sequence equivalent model is obtained under
It is described in detail in text.
S3 obtains the offset voltage and parallel branch electricity of RPFC generation according to the dynamic mathematical models of RPFC and Equivalent Model
The positive-sequence component and negative sequence component of stream, the no-load voltage ratio of RPFC and positive sequence Equivalent Model, negative phase-sequence Equivalent Model, in zero sequence equivalent model
Impedance；Offset voltage and the positive sequence and negative sequence component of parallel branch electric current, the no-load voltage ratio of RPFC and positive sequence that RPFC is generated etc.
Value model, negative phase-sequence Equivalent Model, the impedance in zero sequence equivalent model collectively constitute the equivalent model of the three sequence phasors of RPFC.
The equivalent circuit that RPFC is established includes positive sequence equivalent circuit, negative phase-sequence equivalent circuit and zero sequence equivalent circuit.According to
The Equivalent Model of the equivalent circuit creation RPFC of RPFC, negative phase-sequence shown in positive sequence equivalent circuit shown in Fig. 4 and Fig. 6 is equivalent
Circuit conversion at Fig. 5 and RPFC shown in Fig. 7 positive sequence Equivalent Model and negative phase-sequence Equivalent Model.In Fig. 5 and Fig. 7, subscript 1 is indicated
Positive sequence, subscript 2 indicate negative phase-sequence；Wherein the end 1 of equivalent current source is connected to transmission line of electricity, 2 ground connection of end；The end 1 of equivalent voltage source with
The side of transmission line of electricity is connected, and end 2 is connected with the end 1 of equivalent total impedance, the end 2 of equivalent total impedance and the other side of transmission line of electricity
It is connected.
According to the dynamic mathematical models of positive sequence Equivalent Model and RPFC, the offset voltage and parallel branch of RPFC generation are obtained
The positive-sequence component of electric current are as follows:
Wherein,For the offset voltage that RPFC in positive sequence Equivalent Model is generated, krpfcFor the no-load voltage ratio of RPFC, α 1 and α 2 divide
Not Wei first rotation phase-shifting transformer and second rotation phase-shifting transformer rotor electrical angle,Positive sequence etc. where RPFC
It is worth the sending end voltage of route in model, ZrpfcFor the impedance in positive sequence Equivalent Model and negative phase-sequence Equivalent Model,For positive sequence equivalence
The electric current column vector of RPFC series arm in model,Current source in parallel in positive sequence Equivalent Model, j are that the imaginary part of plural number is calculated
Son.
According to the dynamic mathematical models of negative phase-sequence Equivalent Model and RPFC, the offset voltage and parallel branch of RPFC generation are obtained
The negative sequence component of electric current are as follows:
Wherein,For the offset voltage that RPFC in negative phase-sequence Equivalent Model is generated, krpfcFor the no-load voltage ratio of RPFC, α 1 and α 2 divide
Not Wei first rotation phase-shifting transformer and second rotation phase-shifting transformer rotor electrical angle,The negative phase-sequence where RPFC
The sending end voltage of route, Z in Equivalent ModelrpfcFor the impedance in positive sequence Equivalent Model and negative phase-sequence Equivalent Model,For negative phase-sequence
The electric current column vector of RPFC series arm in Equivalent Model,Current source in parallel in negative phase-sequence Equivalent Model, j are plural
Imaginary-part operator.
Wherein, the no-load voltage ratio k of RPFCrpfcIt can be calculated with following formula:
krpstFor the no-load voltage ratio for rotating phase-shifting transformer, kshFor the no-load voltage ratio of shunt transformer, kseFor the no-load voltage ratio of series transformer.
It is in parallel when positive sequence equivalent circuit and negative phase-sequence equivalent circuit are converted into positive sequence Equivalent Model and negative phase-sequence Equivalent Model
Branch where transformer can be equivalent to current source in parallel, use I in positive sequence Equivalent Modelsh1It indicates, is used in negative phase-sequence Equivalent Model
Ish2It indicates；All impedances of branch, which are combined, where series transformer can be equivalent to a series impedance, due to positive sequence equivalence
Impedance value in model, negative phase-sequence Equivalent Model is identical, therefore uniformly uses ZrpfcIt indicates.In positive sequence Equivalent Model, negative phase-sequence Equivalent Model
Impedance can be used following formula to calculate:
Wherein, RshFor the substitutional resistance of shunt transformer, LshFor the equivalent reactance of shunt transformer, RrpstFor RPST etc.
It is worth resistance, LrpstFor the equivalent reactance of RPST, RseFor the substitutional resistance of series transformer, LseFor the equivalence electricity of series transformer
Anti-, j is the imaginary-part operator of plural number.
For the zero sequence equivalent circuit of RPFC, there is no zero-sequence current circulation in rotor windings.Series transformer is three lists
Phase transformer composition, therefore its single-phase zero sequence equivalent circuit is identical as positive sequence and negative phase-sequence equivalent circuit.Due to two stators of RPFC
Windings in series is followed by series transformer secondary side, therefore there are zero-sequence current accesses in stator winding.Three-phase fundamental component exists
The pulsating mmf that cosine distribution is pressed centered on the phase winding axis is generated in three-phase stator winding.Only consider that fundamental wave magnetic is dynamic
Gesture, it is 0 that three-phase, which synthesizes fundamental wave magnetomotive force,.As it can be seen that three-phase zero sequence magnetic field is in space due to three-phase stator winding space symmetr
The resultant magnetic field of formation is 0, so can be only formed the leakage magnetic flux of each phase stator winding.Thus, the zero sequence one phase equivalent electricity of RPFC
Road is as shown in Figure 8.
The process that the Equivalent Model of RPFC is created according to the equivalent circuit of above-mentioned RPFC, zero sequence one phase equivalent circuit is converted
At zero sequence equivalent model, as shown in Figure 9.In Fig. 9, subscript 0 indicates that zero sequence, equivalent total impedance are connected among transmission line of electricity.
At this point, the residual voltage of series transformer primary side is the leakage reactance voltage that transformer and RPFC stator winding generate, parallel branch
It is considered that no zero-sequence current circulation.Impedance from the zero sequence equivalent model entered in terms of series transformer primary side are as follows:
Wherein, kseFor the no-load voltage ratio of series transformer, RrpstFor the substitutional resistance of RPST, LrpstFor the equivalent reactance of RPST,
RseFor the substitutional resistance of series transformer, LseFor the equivalent reactance of series transformer.
Simultaneous above-mentioned (4)~(8) formula is then the equivalent model of the three sequence phasors of RPFC.
Later, inventor verifies the accuracy of RPFC equivalent model by experiment.In electromagnetic transient simulation software
The realistic model of RPFC is built in PSCAD, and on the basis of the simulation result of the model, to the accuracy of RPFC equivalent model into
Row verifying.
The parameter and system parameter of RPFC device are distinguished shown in following Tables 1 and 2；Set α1=30 °, α2=60 °, respectively
Simulation comparison is carried out to different operating conditions.
Table is arranged in 1 RPFC device parameter of table
| Physical quantity | Numerical value |
| System voltage/kV | 220∠0° |
| Load/Ω | 50+j25 |
| Frequency/Hz | 50 |
2 RPFC system parameter setting table of table
(1) emulation when load variation
RPFC initial load is 50+j25 Ω, and in 1s, threephase load becomes 20+j5 Ω, simulation result are as follows: equivalent model A
Phase, B phase, the offset voltage of the RPFC output of C phase, curve and the realistic model A phase, B phase, C phase of RPFC parallel branch electric current
The offset voltage of RPFC output, the curve of RPFC parallel branch electric current fit like a glove.
(2) emulation when load generation three phase short circuit fault
RPFC initial load is 50+j25 Ω, and in 1s, three-phase shortcircuit ground fault occurs for load-side, is born after continuing 0.2s
Load reverts to 50+j25 Ω, simulation result are as follows: the offset voltage of the RPFC output of equivalent model A phase, B phase, C phase, RPFC are in parallel
The song of offset voltage, RPFC parallel branch electric current that the curve of branch current and the RPFC of realistic model A phase, B phase, C phase are exported
Line fits like a glove.
(3) emulation when load generation single-phase earthing fault
RPFC initial load is 50+j25 Ω, and in 1s, single phase grounding fault occurs for load-side A phase, after continuing 0.2s
Load restoration is 50+j25 Ω, and simulation result difference is as shown in Figure 10 and Figure 11.Wherein, Figure 10 is that single-phase short circuit event occurs for load
When barrier, the equivalent model and realistic model RPFC of RPFC export the comparing result display diagram of offset voltage, and solid line 1 is equivalent in figure
The curve of output of model A phase, solid line 2 are the curve of output of equivalent model B phase, and solid line 3 is the curve of output of equivalent model C phase,
Dotted line 1 is the curve of output of realistic model A phase, and dotted line 2 is the curve of output of realistic model B phase, and dotted line 3 is realistic model C phase
Curve of output, compared by curve of output, discovery equivalent model A phase, B phase, C phase RPFC output offset voltage curve
It fits like a glove with the curve of the RPFC of the realistic model A phase, B phase, C phase offset voltage exported.
When Figure 11 is that single-phase earthing fault occurs for load, the equivalent model and realistic model RPFC parallel branch electric current of RPFC
Comparing result display diagram, solid line 1 is the curve of output of equivalent model A phase in figure, and solid line 2 is that the output of equivalent model B phase is bent
Line, solid line 3 are the curve of output of equivalent model C phase, and dotted line 1 is the curve of output of realistic model A phase, and dotted line 2 is realistic model B
The curve of output of phase, dotted line 3 are the curve of output of realistic model C phase, are compared by curve of output, find equivalent model A phase, B
The curve of the RPFC parallel branch electric current of the curve and realistic model A phase, B phase, C phase of the RPFC parallel branch electric current of phase, C phase is complete
It is complete to coincide.
Based on above-mentioned simulation result it is found that equivalent model and the simulation curve of realistic model in PSCAD are completely coincident, table
Bright equivalent modeling method of the invention is correct.The equivalent modeling method of rotary current controller provided by the present invention is available
In establishing RPFC model library element in certain power system simulation softwares (such as common BPA, PSASP etc.), development contains
The various analysis and research of the electric system of RPFC.
In conclusion the equivalent modeling method of rotary current controller provided by the present invention, is created according to the structure of RPFC
The single-phase equivalent circuit for building RPFC obtains the three-phase equivalent circuit of RPFC, constructs RPFC's according to the three-phase equivalent circuit of RPFC
Dynamic mathematical models；Then, according to the definition of positive sequence, negative phase-sequence, zero sequence in three sequence phasors, equivalent circuit is established for RPFC, according to
The Equivalent Model of the equivalent circuit creation RPFC of RPFC；Finally, being obtained according to the dynamic mathematical models of RPFC and Equivalent Model
Offset voltage and the positive sequence and negative sequence component of parallel branch electric current that RPFC is generated, the no-load voltage ratio of RPFC and positive sequence Equivalent Model,
Impedance in negative phase-sequence Equivalent Model, zero sequence equivalent model；Collectively constitute the equivalent model of the three sequence phasors of RPFC.This method is established
RPFC three sequence phasors equivalent model accuracy it is higher, the complexity of RPFC can be effectively reduced, convenient for containing
The transmission line of electricity of RPFC carries out accident analysis.For in certain power system simulation softwares (such as common BPA, PSASP etc.)
RPFC model library element is established, the various analysis and research for carrying out the electric system containing RPFC provide convenience.
The equivalent modeling method of rotary current controller provided by the present invention is described in detail above.To this
For the those skilled in the art in field, it is done under the premise of without departing substantially from true spirit any obvious
Change, the infringement for all weighing composition to the invention patent, will undertake corresponding legal liabilities.
Claims (10)
1. a kind of equivalent modeling method of rotary current controller, it is characterised in that include the following steps:
S1 constructs the dynamic mathematical models of rotary current controller according to the three-phase equivalent circuit of rotary current controller；
S2 establishes equivalent circuit for rotary current controller, will rotate according to the definition of positive sequence, negative phase-sequence, zero sequence in three sequence phasors
Branch in the equivalent circuit of flow controller where shunt transformer is equivalent to current source in parallel；By rotary current controller
Equivalent circuit in all impedances of branch where series transformer be combined and can be equivalent to a series impedance, rotated
The Equivalent Model of flow controller；
S3 obtains the compensation of rotary current controller generation according to the dynamic mathematical models of rotary current controller and Equivalent Model
The positive sequence and negative sequence component of voltage and parallel branch electric current, the no-load voltage ratio of rotary current controller and positive sequence Equivalent Model, negative phase-sequence
Impedance in Equivalent Model, zero sequence equivalent model；Collectively constitute the equivalent model of three sequence phasors of rotary current controller.
2. the equivalent modeling method of rotary current controller as described in claim 1, it is characterised in that in step sl, according to
The dynamic mathematical models of the three-phase equivalent circuit building rotary current controller of rotary current controller, include the following steps:
S11 creates the single-phase equivalent circuit of rotary current controller；
S12 obtains three according to the model of simplified rotary current controller and the single-phase equivalent circuit of rotary current controller
Voltage, current relationship in equal value circuit create the voltage equation and current equation of rotary current controller；
S13 creates whirl tide according to the first of rotary current controller the rotation phase-shifting transformer and the second rotation phase-shifting transformer
The equation of motion of stream controller；
The voltage equation of rotary current controller, current equation and equation of motion simultaneous are obtained rotary current controller by S14
Dynamic mathematical models.
3. the equivalent modeling method of rotary current controller as described in claim 1, it is characterised in that:
In step s 2, the equivalent circuit that rotary current controller is established includes positive sequence equivalent circuit, negative phase-sequence equivalent circuit and zero
Sequence equivalent circuit.
4. the equivalent modeling method of rotary current controller as claimed in claim 3, it is characterised in that:
In the zero sequence equivalent circuit of rotary current controller, there is no zero-sequence current circulation in rotor windings, deposited in stator winding
In zero-sequence current access, single-phase zero sequence equivalent circuit is identical as positive sequence equivalent circuit and negative phase-sequence equivalent circuit.
5. the equivalent modeling method of rotary current controller as described in claim 1, it is characterised in that:
In step s 2, the equivalent circuit of rotary current controller simplify the equivalent mould of creation rotary current controller
Type, including creation positive sequence Equivalent Model, negative phase-sequence Equivalent Model and zero sequence equivalent model；
Wherein, positive sequence Equivalent Model is created, negative phase-sequence Equivalent Model includes the following steps:
Branch where shunt transformer in the equivalent circuit of rotary current controller is equivalent to current source in parallel；
All impedances of branch where series transformer in the equivalent circuit of rotary current controller are combined and are equivalent to one
A series impedance；
Obtain the positive sequence Equivalent Model and negative phase-sequence Equivalent Model of rotary current controller.
6. the equivalent modeling method of rotary current controller as described in claim 1, it is characterised in that:
According to the dynamic mathematical models of positive sequence Equivalent Model and rotary current controller, the benefit of rotary current controller generation is obtained
Repay the positive-sequence component of voltage and parallel branch electric current are as follows:
Wherein,For the offset voltage that rotary current controller in positive sequence Equivalent Model generates, krpfcFor rotary current controller
No-load voltage ratio, α 1 and α 2 are respectively the electrical angle of the rotor of the first rotation phase-shifting transformer and the second rotation phase-shifting transformer,
For the sending end voltage of route in the positive sequence Equivalent Model of rotary current controller place, ZrpfcIt is equivalent for positive sequence Equivalent Model and negative phase-sequence
Impedance in model,For the electric current column vector of rotary current controller series arm in positive sequence Equivalent Model,Positive sequence etc.
It is worth current source in parallel in model.
7. the equivalent modeling method of rotary current controller as described in claim 1, it is characterised in that:
According to the dynamic mathematical models of negative phase-sequence Equivalent Model and rotary current controller, the benefit of rotary current controller generation is obtained
Repay the negative sequence component of voltage and parallel branch electric current are as follows:
Wherein,For the offset voltage that rotary current controller in negative phase-sequence Equivalent Model generates, krpfcFor rotary current control
The no-load voltage ratio of device, α 1 and α 2 are respectively the electrical angle of the rotor of the first rotation phase-shifting transformer and the second rotation phase-shifting transformer,For the sending end voltage of route in the negative phase-sequence Equivalent Model of rotary current controller place, ZrpfcFor positive sequence Equivalent Model and negative phase-sequence
Impedance in Equivalent Model,For the electric current column vector of rotary current controller series arm in negative phase-sequence Equivalent Model,Current source in parallel in negative phase-sequence Equivalent Model.
8. the equivalent modeling method of rotary current controller as claimed in claims 6 or 7, it is characterised in that:
The krpfcFor the no-load voltage ratio of rotary current controller, rotary current controller in positive sequence equivalent model, negative phase-sequence equivalent model
No-load voltage ratio is identical, is calculated using following formula:
Wherein, krpstFor the no-load voltage ratio for rotating phase-shifting transformer, kshFor the no-load voltage ratio of shunt transformer, kseFor the change of series transformer
Than.
9. the equivalent modeling method of rotary current controller as claimed in claims 6 or 7, it is characterised in that:
The ZrpfcFor the impedance in positive sequence Equivalent Model and negative phase-sequence Equivalent Model, calculated using following formula:
Wherein, krpstFor the no-load voltage ratio for rotating phase-shifting transformer, kseFor the no-load voltage ratio of series transformer, RshFor the equivalence of shunt transformer
Resistance, LshFor the equivalent reactance of shunt transformer, RrpstFor the substitutional resistance of RPST, LrpstFor the equivalent reactance of RPST, RseFor
The substitutional resistance of series transformer, LseFor the equivalent reactance of series transformer.
10. the equivalent modeling method of rotary current controller as described in claim 1, it is characterised in that:
Impedance in zero sequence equivalent model are as follows:
Wherein, kseFor the no-load voltage ratio of series transformer, RrpstFor the substitutional resistance of RPST, LrpstFor the equivalent reactance of RPST, RseFor
The substitutional resistance of series transformer, LseFor the equivalent reactance of series transformer.
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| WO1999029008A1 (en) * | 1997-11-28 | 1999-06-10 | Abb Ab | Power flow control |
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