CN109256767A - For the modeling and iterative process of the IPFC for being installed on parallel line - Google Patents
For the modeling and iterative process of the IPFC for being installed on parallel line Download PDFInfo
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- CN109256767A CN109256767A CN201811102132.XA CN201811102132A CN109256767A CN 109256767 A CN109256767 A CN 109256767A CN 201811102132 A CN201811102132 A CN 201811102132A CN 109256767 A CN109256767 A CN 109256767A
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- ipfc
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- parallel line
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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
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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
For the modeling and iterative process of the IPFC for being installed on parallel line, modeling method is by increasing virtual bus in the parallel line 1,2 and parallel line 3,4 of installation IPFCj 1 、j 2 、k 1 、k 2 , modeled using Power-injected method, IPFC be equivalent to node injecting power and is injected into virtual busj 1 、j 2 、k 1 、k 2 With practical busi, then replace solution with network equation, acquire the flow solution of the network equation containing IPFC.The difference that the present invention is modeled with Traditional IP FC Power-injected method is that Traditional IP FC power injection modeling method does not increase virtual busj 1 、j 2 、k 1 、k 2 , the bus at route both ends where the equivalent injecting power of IPFC is directly injected into IPFCi、j、k, will be unable to the trend on every loop line road in parallel when parallel line control target is different where correctly reflecting IPFC in this way.The present invention can overcome Traditional IP FC Power-injected method to model existing above-mentioned limitation, improve the flexibility of the accuracy and IPFC control mode of the calculating of electric power system tide containing IPFC.
Description
Technical field
The present invention relates to Operation of Electric Systems analysis and simulation technical fields, are installed on parallel line more particularly to being directed to
IPFC modeling and iterative process.
Background technique
Flow controller (Interline Power Flow Controller, IPFC) and THE UPFC between line
(Unified Power Flow Controller, UPFC) is all the Typical Representative of third generation FACTS device equally.Compared to
For UPFC, IPFC be a kind of function more fully with powerful FACTS control device.On the one hand, it can not only same UPFC
Equally directly control the trend on the installed transmission line of electricity of part in series, additionally it is possible to the Power Exchange between route is realized, to control
Make the trend between different routes；On the other hand, UPFC is possible to will lead to when controlling itself installation Line Flow closes on weight
It is out-of-limit to carry Line Flow, and IPFC load disturbance has the characteristics that orientation, can orient heavy-haul line trend, quantitatively " carry "
To light-loaded circuit is closed on, the influence on tidal flow to All other routes is reduced.In addition to this, function is transmitted by DC bus due to IPFC
Rate, the transmission of active power are asynchronous.So IPFC even can have any angle relationship to two, belong to not homology
The route of system carries out power flowcontrol.To sum up, IPFC can flexibly control the active and reactive of electric system, voltage, impedance and function
Angle has boundless application prospect convenient for optimizing the system operation, improving power system transient stability.
Currently, when carrying out Load flow calculation to the system containing IPFC, frequently with equivalent power injection method.It is inferior with newton-pressgang
When method solves the power flow equation containing control target, the Jacobian matrix to traditional power flow equation is needed to modify, according to
Power-injected method then can preferably solve this problem, and IPFC is influenced the equivalent two sides to corresponding line to system by it
On node, IPFC model can be embedded in the case where not modifying original node admittance battle array in this way, maximally utilises traditional tide
The formula and experience that Jacobian matrix is formed in stream calculation.
However since the complexity of national line is higher, 220kV and the above rack are mostly that double loop in parallel is even more
Wire returning structure, route two where the equivalent injecting power of IPFC is directly injected into IPFC by Traditional IP FC power injection modeling method
The bus at end will be unable to the tide on every loop line road in parallel when parallel line control target is different where correctly reflecting IPFC in this way
Stream influences accuracy when flexibility and the simulation analysis of IPFC control.
Summary of the invention
In order to solve the problems, such as, the present invention provides the modeling and iterative process for the IPFC for being installed on parallel line, this hair
The modeling for the IPFC that the bright IPFC modeling method is installed suitable for the power grid of China's parallel connection double-circuit line structure, Neng Gouzheng
The trend on every loop line road in parallel when really parallel line control target is different where reflection IPFC, is carrying out electric system simulation
When research, IPFC modeling is carried out using method provided by the invention, can completely realize the control function of IPFC, and more adjunction
Nearly actual conditions, for this purpose, the present invention provides the modeling for the IPFC for being installed on parallel line, it is characterised in that: institute
IPFC need to be modeled to be installed in parallel line: IPFC series side coupling transformer Tse1It is connected on high-tension line, one end and node
I connects, and the other end is connected by transmission line of electricity 1 with node j, series side coupling transformer Tse2One end connects with node i, another
End is connected by transmission line of electricity 2 with node j, and route 1 is in parallel with route 2；Series side coupling transformer Tse3One end and node i phase
It connects, the other end is connected by transmission line of electricity 3 with node k, series side coupling transformer Tse4One end connects with node i, and the other end is logical
It crosses transmission line of electricity 4 to connect with node k, route 3 is in parallel with route 4.
Further improvement of the present invention increases virtual female in the parallel line 1,2 and parallel line 3,4 of installation IPFC
Line j1、j2、k1、k2, which is arranged between route and IPFC series coupled transformer, the bus of non-actual existence.
IPFC is equivalent to injecting power and is injected into practical bus i and virtual bus j by further improvement of the present invention1、j2、
k1、k2, the IPFC power injection model for being installed on parallel line is as follows:
Wherein: Vi、θiThe respectively voltage magnitude and phase angle of bus i；Vn、θnRespectively route n's (n=1~4, similarly hereinafter)
The voltage magnitude and phase angle of virtual bus；bsenFor the susceptance value of IPFC series coupled transformer in route n；Vsen、θsenPressure point
Not Wei IPFC series side transformer ideal voltage source voltage magnitude and phase angle；Pis、QisIt is injection of the IPFC to bus i respectively
It is active with it is idle；Pns、QnsBe respectively IPFC it is active to the injection of the virtual bus of route n with it is idle.
Further improvement of the present invention, n=1~4 in route n.
The present invention provides a kind of iterative process of modeling for the IPFC for being installed on parallel line:
1) original system state variable uses straight starting primary condition.It is calculated by joint type (5), (6), (8), (9)
Initial IPFC control amount VsenAnd θsen, and initial injecting power is calculated by formula (7), (8)；
2) injecting power is substituted into power flow equation, obtains new system state variables value；
3) new system state variables are substituted into formula (4), (5), (6) available new additional injecting power Pns、Qns、
P4s, then simultaneous solution formula (8), (9) available new VsenAnd θsenValue, and then P can be found outis、Qis、Q4sNew value；
4) value of above new injecting power and new system state variables is substituted into power flow equation, judges whether to meet formula
(10) the condition of convergence carries out next iteration, return step 2 if being unsatisfactory for)；
5) iteration terminates after meeting the trend condition of convergence.
The present invention is directed to the modeling and iterative process for being installed on the IPFC of parallel line, the modeling side IPFC provided by the invention
Method is injected virtual bus and IPFC installation side bus by increasing virtual bus, and by the equivalent injecting power of IPFC, is realized correct
The trend on every loop line road in parallel when parallel line control target is different where reflecting IPFC, solves Traditional IP FC power note
The limitation for entering method, when carrying out electric system simulation research, establishing model using modeling method provided by the invention can make pair
The assessment of IPFC control ability is more close to actual conditions, to have higher confidence level.
Detailed description of the invention
Fig. 1 is the structural schematic diagram for the IPFC that the present invention is mounted in parallel line；
Fig. 2 is the IPFC model equivalent circuit that the present invention is mounted in parallel line；
Fig. 3 for the mentioned modeling method of the present invention IPFC power injection model.
All R in Fig. 1n、Xn(n=1~4, similarly hereinafter) are the line parameter circuit value of route n, respectively indicate route resistance and
The admittance over the ground of route is ignored in reactance；Vi、Vj、VkThe respectively voltage magnitude of bus i, j, k；θi、θj、θkRespectively bus i,
J, the voltage phase angle of k；For the line current of route n；Pn、QnFor the effective power flow and reactive power flow of route n；
In Fig. 2, Vsen∠θsenFor the equivalent ideal voltage source of the IPFC series side in route n；bsenThe route where IPFC
The series coupled transformer T of nsenSusceptance value；V1、V2、V3、V4Respectively virtual bus j1、j2、k1、k2Voltage magnitude；θ1、
θ2、θ3、θ4Respectively virtual bus j1、j2、k1、k2Voltage phase angle；Pni、QniFor the end route n bus i effective power flow with it is idle
Trend；Route 1,2,3 is IPFC master control circuit, Pnref、Qnref(n=1~3) are respectively that its effective power flow and reactive power flow control
Target；Route 4 is IPFC auxiliary control route, P4refFor its power flow control target, Q4For auxiliary control line reactive power；
In Fig. 3, Pis、QisIt is IPFC respectively to the injection active power of node i and injection reactive power；Pns、QnsRespectively
Injection active power and injection reactive power of the IPFC to the dummy node of route n；Pni0、Qni0Route when being respectively free of IPFC
The natural trend at the end n bus i；Pnj0、Qnj0The natural trend at the virtual bus end route n when being respectively free of IPFC.
Specific embodiment
Present invention is further described in detail with specific embodiment with reference to the accompanying drawing:
The present invention provides the modeling and iterative process for the IPFC for being installed on parallel line, and IPFC of the present invention is built
The modeling for the IPFC that mould method is installed suitable for the power grid of China's parallel connection double-circuit line structure can correctly reflect where IPFC
The trend on every loop line road in parallel when parallel line control target is different, when carrying out electric system simulation research, using this
The method that invention provides carries out IPFC modeling, can completely realize the control function of IPFC, and be more nearly actual conditions.
The present invention be directed to be installed on the modeling of the IPFC of parallel line and iterative process, and it is right with this method to have derived its
The power injection model answered.As shown in Figure 1, being installed on the topological structure of the IPFC of parallel line are as follows: the coupling of IPFC series side becomes
Depressor Tse1It is connected on high-tension line, one end connects with node i, and the other end is connected by transmission line of electricity 1 with node j, series side
Coupling transformer Tse2One end connects with node i, and the other end is connected by transmission line of electricity 2 with node j, and route 1 is in parallel with route 2；
Series side coupling transformer Tse3One end connects with node i, and the other end is connected by transmission line of electricity 3 with node k, series side coupling
Transformer Tse4One end connects with node i, and the other end is connected by transmission line of electricity 4 with node k, and route 3 is in parallel with route 4.
Increase virtual bus j in the parallel line 1,2 and parallel line 3,4 of installation IPFC1、j2、k1、k2, virtual female
Line is arranged between route and IPFC series coupled transformer, the bus of non-actual existence.Obtain as shown in Figure 2 be mounted on simultaneously
IPFC model equivalent circuit diagram on line road.The trend expression formula of the route containing IPFC is as follows:
The injecting power model for obtaining IPFC by Fig. 2 is as shown in Figure 3.Pni0、Qni0Route n bus when being respectively free of IPFC
The natural trend at the end i；Pnj0、Qnj0The natural trend at the virtual bus end route n when being respectively free of IPFC.Its value and bus i
Related with phase angle with the voltage swing of virtual bus, expression formula is as follows:
Injecting power and line power have following relationship as shown in Figure 3:
Formula (1)~(4) are substituted into formula (5)~(6), each additional injecting power of available IPFC power injection model:
It can be obtained by the active balance between IPFC itself inverter:
Formula (7)~(9) constitute the power injection model of the IPFC suitable for parallel line.
Given master control circuit trend Pnref+jQnrefAnd the active P of auxiliary control route4refIt afterwards, can be by Pnref、Qnref、P4refPoint
Not Dai Ru formula (5), (6), find out the injecting power P of the virtual bus bar side of master control circuitns+jQnsWith the virtual bus bar side of auxiliary control route
Inject active P4s.By observation type (8), (9) it is found that if it is known that master control circuit Pns、QnsWith auxiliary control route P4s, simultaneous solution
Equation (8), (9) can directly find out the V of master control circuit IPFCsen、θsenWith the V of auxiliary control routese4、θse4, and then can find out
Pis、Qis、Q4s.Its condition of convergence are as follows:
In formula, ε is convergence precision, Pn、QnFor the practical active power of master control circuit n and reactive power, P4It is real for auxiliary control route
Border active power.
IPFC is as follows in the iterative process of designated value by Line Flow target control:
1) original system state variable uses straight starting primary condition.It is calculated by joint type (5), (6), (8), (9)
Initial IPFC control amount VsenAnd θsen, and initial injecting power is calculated by formula (7), (8).
2) injecting power is substituted into power flow equation, obtains new system state variables value.
3) new system state variables are substituted into formula (4), (5), (6) available new additional injecting power Pns、Qns、
P4s, then simultaneous solution formula (8), (9) available new VsenAnd θsenValue, and then P can be found outis、Qis、Q4sNew value.
4) value of above new injecting power and new system state variables is substituted into power flow equation, judges whether to meet formula
(10) the condition of convergence carries out next iteration, return step 2 if being unsatisfactory for).
5) iteration terminates after meeting the trend condition of convergence.
It to sum up, is a kind of specific method of model foundation for the IPFC for being installed on parallel line.
The above described is only a preferred embodiment of the present invention, being not the limit for making any other form to the present invention
System, and made any modification or equivalent variations according to the technical essence of the invention, still fall within present invention model claimed
It encloses.
Claims (5)
1. for the modeling for the IPFC for being installed on parallel line, it is characterised in that: required modeling IPFC is installed in parallel line:
IPFC series side coupling transformer Tse1Be connected on high-tension line, one end connects with node i, the other end by transmission line of electricity 1 with
Node j connects, series side coupling transformer Tse2One end connects with node i, and the other end is connected by transmission line of electricity 2 with node j,
Route 1 is in parallel with route 2；Series side coupling transformer Tse3One end connects with node i, and the other end passes through transmission line of electricity 3 and node
K connects, series side coupling transformer Tse4One end connects with node i, and the other end is connected by transmission line of electricity 4 with node k, route 3
It is in parallel with route 4.
2. the modeling according to claim 1 for the IPFC for being installed on parallel line, it is characterised in that: in installation IPFC
Parallel line 1,2 and parallel line 3,4 in increase virtual bus j1、j2、k1、k2, the virtual bus be arranged in route with
Between IPFC series coupled transformer, the bus of non-actual existence.
3. the modeling and iterative process according to claim 2 for the IPFC for being installed on parallel line, it is characterised in that:
IPFC is equivalent to injecting power and is injected into practical bus i and virtual bus j1、j2、k1、k2, the parallel line of being installed on
IPFC power injection model is as follows:
Wherein: Vi、θiThe respectively voltage magnitude and phase angle of bus i；Vn、θnRespectively route n's (n=1~4, similarly hereinafter) is virtual
The voltage magnitude and phase angle of bus；bsenFor the susceptance value of IPFC series coupled transformer in route n；Vsen、θsenPressure is respectively
The ideal voltage source voltage magnitude and phase angle of IPFC series side transformer；Pis、QisIt is IPFC active to the injection of bus i respectively
With it is idle；Pns、QnsBe respectively IPFC it is active to the injection of the virtual bus of route n with it is idle.
4. the modeling according to claim 2 for the IPFC for being installed on parallel line, it is characterised in that: n=in route n
1~4.
5. using the iterative process for being installed on the modeling of IPFC of parallel line is directed to described in claim 1-4 any one,
It is characterized in that:
1) original system state variable uses straight starting primary condition.It is calculated by joint type (5), (6), (8), (9) initial
IPFC control amount VsenAnd θsen, and initial injecting power is calculated by formula (7), (8)；
2) injecting power is substituted into power flow equation, obtains new system state variables value；
3) new system state variables are substituted into formula (4), (5), (6) available new additional injecting power Pns、Qns、P4s, so
Simultaneous solution formula (8), (9) available new V afterwardssenAnd θsenValue, and then P can be found outis、Qis、Q4sNew value；
4) value of above new injecting power and new system state variables is substituted into power flow equation, judges whether to meet formula (10)
The condition of convergence, next iteration, return step 2 are carried out if being unsatisfactory for)；
5) iteration terminates after meeting the trend condition of convergence.
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Citations (4)
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|---|---|---|---|---|
| US20120271574A1 (en) * | 2011-04-19 | 2012-10-25 | Southern Company Services, Inc. | Real-Time and Off-Line Tools for Monitoring and Analysis of Power System Components |
| CN103414185A (en) * | 2013-07-26 | 2013-11-27 | 南京南瑞继保电气有限公司 | Unified power flow controller and control method thereof |
| CN105140914A (en) * | 2015-08-17 | 2015-12-09 | 东南大学 | Method for accessing unified power flow controller (UPFC) into system and three-node power injection model |
| CN105633974A (en) * | 2016-03-03 | 2016-06-01 | 甘肃省电力公司风电技术中心 | Real-time regional voltage coordination control method |
-
2018
- 2018-09-20 CN CN201811102132.XA patent/CN109256767B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20120271574A1 (en) * | 2011-04-19 | 2012-10-25 | Southern Company Services, Inc. | Real-Time and Off-Line Tools for Monitoring and Analysis of Power System Components |
| CN103414185A (en) * | 2013-07-26 | 2013-11-27 | 南京南瑞继保电气有限公司 | Unified power flow controller and control method thereof |
| CN105140914A (en) * | 2015-08-17 | 2015-12-09 | 东南大学 | Method for accessing unified power flow controller (UPFC) into system and three-node power injection model |
| CN105633974A (en) * | 2016-03-03 | 2016-06-01 | 甘肃省电力公司风电技术中心 | Real-time regional voltage coordination control method |
Non-Patent Citations (2)
| Title |
|---|
| GANG LIU: "A UPFC Supplementary Control Method for Suppressing LFO of Resonance Mechanism", 《2017 IEEE 7TH ANNUAL INTERNATIONAL CONFERENCE ON CYBER TECHNOLOGY IN AUTOMATION, CONTROL, AND INTELLIGENT SYSTEMS (CYBER)》 * |
| 杨健: "适用于新型UPFC拓扑的电力系统潮流计算方法", 《电网技术》 * |
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