CN106451459A - Power flow calculation method for accessing of large number of distributed power flow controllers - Google Patents

Power flow calculation method for accessing of large number of distributed power flow controllers Download PDF

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CN106451459A
CN106451459A CN201610855875.9A CN201610855875A CN106451459A CN 106451459 A CN106451459 A CN 106451459A CN 201610855875 A CN201610855875 A CN 201610855875A CN 106451459 A CN106451459 A CN 106451459A
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power flow
flow controller
power
distributed power
dpfc
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CN106451459B (en
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汤奕
刘煜谦
赵静波
朱鑫要
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Southeast University
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/04Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
    • H02J3/06Controlling transfer of power between connected networks; Controlling sharing of load between connected networks
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Supply And Distribution Of Alternating Current (AREA)

Abstract

The invention provides a power flow calculation method for accessing of a large number of distributed power flow controllers. Alternatively iterated power flow calculation is utilized, thereby keeping an iteration form of a power flow algorithm and a characteristic of a Jacobian matrix. Furthermore accessing modes are flexibly changed according to different control objects of the distributed power flow controllers. Compared with an existing algorithm which comprises a single power flow controller simultaneous iteration control variable, the power flow calculation method has an advantage of no requirement for modification of the Jacobian matrix. Furthermore through setting a sub-iteration process, the power flow calculation method can be easily combined with an original power flow algorithm just through performing corresponding modification in the sub-iteration process. The power flow calculation method is particularly suitable for power flow calculation on the condition that a large number of distributed power flow controllers are accessed and different control strategies are utilized.

Description

The tidal current computing method that a kind of a large amount of Distributed Power Flow controller accesses
Technical field
The present invention relates to a kind of flexible tidal current computing method accessing for a large amount of Distributed Power Flow controllers, belong to flexible UHV AC transmission technique field.
Background technology
According to national energy and power planning, trans-regional Large Copacity extra-high voltage direct-current transmission, concentrate access extensive Generation of electricity by new energy will obtain significant progress in China's power system, and after its access, the impact to operation of power networks and trend are flexible The problems such as control, is also needed further investigation badly and explores.
In the system of no any tidal current controller, the electric network swim mainly impedance function according to system power line road etc. And NATURAL DISTRIBUTION.But this self-assembling formation, uncontrolled trend distribution is not typically the trend desired by system operation Distribution, and conveying capacity is not enough, loss is big, voltage out-of-limit to bring to the operation of system, or even system stability breaks Bad a series of problems, such as.For improving system load flow distribution, current power system adopts some jumbo Survey of Flexible AC Transmission Systems, But jumbo centralized flow controller is due to involving great expense and floor space is big, therefore Distributed Power Flow controller starts because of it Unique advantage starts to cause the concern of industry.
The Load flow calculation containing power flow control devices at present mainly passes through system state variables, including node voltage, phase Angle, with the state variable simultaneous iteration of power flow control devices it is therefore desirable to the element correction in Jacobian matrix, and in trend In calculating, the control targe of power flow control devices is difficult to change.When containing Distributed Power Flow controller in system, lead to Ya Ke Greatly increase than matrix dimension, lead to Load flow calculation complicated.
Content of the invention
Goal of the invention:The technical problem to be solved is that a large amount of Distributed Power Flow controllers access Load flow calculation, A kind of tidal current computing method that can conveniently realize and accessing containing a large amount of Distributed Power Flow controllers is provided.
The technical solution adopted for the present invention to solve the technical problems is as follows:
A kind of tidal current computing method that a large amount of distribution flow controller accesses it is characterised in that this computational methods include as Lower step:
(1) system initialization, determines number, on-position and the control mode of Distributed Power Flow controller, described control Mode processed includes constant circuit active power controller strategy and constant output control strategy, and arranges at the beginning of its state variable Value;
(2) power deviation of each node of computing system, repaiies according to the equivalent power injection model of Distributed Power Flow controller The power deviation of positive articulare;
Equivalent injecting power mathematical model according to Distributed Power Flow controller:
Wherein, Ui, θi, Pis, QisThe respectively voltage magnitude of i-node, phase angle, equivalent injection active power, equivalent injection Reactive power;Uj、θj、Pjs、QjsIt is respectively the voltage magnitude of j node, phase angle, equivalent injection active power, equivalent injection is idle Power g, b are respectively the conductance of circuit and admittance, b between i and j nodecFor the admittance over the ground of i and j node two ends, UDPFC、δDPoint The voltage of Distributed Power Flow controller between the i that Wei not access, j two node and phase angle;
(3) main iterative process adopts Newton-Laphson method solving system state variable, obtains the Ya Ke of system state variables Ratio passes through the running status of matrixing solving system after matrix, including voltage and phase angle, and carry out changing of system state variables In generation, is revised;
(4) following sub- iterative process, the control targe equation according to Distributed Power Flow controller and internal constraint side are entered Journey is modified to its state variable value, if the condition of convergence being not reaching in sub- iteration, repeats step (4), if Reach, then enter step (5);
The internal constraint equation of wherein Distributed Power Flow controller is:
PDPFCThe active power sending for Distributed Power Flow controller, its control strategy has constant line road active power controller Strategy and constant output control strategy;Adopt suitable control strategy according to the needs that system is controlled, to control line When road active power is steady state value, using constant circuit active power controller strategy, its control targe equation is:
PrefFor the circuit active power reference value setting, sub- iteration termination condition is max | Δ Pij,PDPFC|≤ε or iteration Number of times k>100, wherein max | Δ Pij,PDPFC| represent active power of output and circuit wattful power in each Distributed Power Flow controller Maximum in rate deviation;
If desired Distributed Power Flow controller is carried out when constant output controls using constant output as controlling Strategy, its control targe is:
QrefCapacity for Distributed Power Flow controller sets reference value, and sub- iteration convergence condition is max | Δ QDPFC,PDPFC| ≤ ε or iterationses k>100, wherein max | Δ QDPFC,PDPFC| represent each Distributed Power Flow controller in output deviation and Maximum in active power;
(5) judge whether to meet system convergence condition, if so, then terminate Load flow calculation;If it is not, then going to step (2);
Wherein system convergence condition is max | Δ P, Δ Q | < ε or main iterationses m >=100;Δ P, Δ Q are each node Active power and the deviation of reactive power.
Further, in step (1), it is perunit value that the voltage magnitude initial value of Distributed Power Flow controller all takes 0.1p.u. For 0.1, phase angle takesIn step (4), (5), ε takes 10-5.
Beneficial effect:The present invention proposes the tidal current computing method that a kind of a large amount of Distributed Power Flow controller accesses, the party Method is by the state variable of Distributed Power Flow controller and system variable alternating iteration, and considers Distributed Power Flow controller not Same control targe, realizes Load flow calculation when accessing containing a large amount of Distributed Power Flow controllers.With existing conventional simultaneous iteration tide Flow algorithm is compared, and can retain traditional iteration form of power flow algorithm and the feature of Jacobian matrix using this method, not increase refined Gram than matrix dimension it is only necessary to accordingly be changed it is easy to combine with original power flow algorithm in sub- iterative process.
Brief description
Fig. 1 is the general flow chart of the inventive method.
Fig. 2 is IEEE-30 node system structure chart.
Specific embodiment:
It is described in further detail with reference to the accompanying drawings and in conjunction with the embodiments to the present invention.But the invention is not restricted to The example going out.
The present embodiment is to do corresponding Load flow calculation to test after Distributed Power Flow controller accesses only to 1 and 2 DPFC The correctness of card algorithm, if desired additionally increases the quantity of Distributed Power Flow controller it is only necessary to increase distributed tide accordingly The sub- iterative process of stream controller.
(1) system initialization, main iteration and sub- iterationses m, k are disposed as 0, determine the individual of Distributed Power Flow controller Number, on-position and control mode, described control mode includes constant circuit active power controller strategy and constant output work( Rate control strategy, and its state variable initial value voltage magnitude is set for 0.1p.u., phase angle takes
(2) power deviation of each node of computing system, repaiies according to the equivalent power injection model of Distributed Power Flow controller The power deviation of positive articulare;
Equivalent injecting power mathematical model according to Distributed Power Flow controller:
Wherein, Ui, θi, Pis, QisThe respectively voltage magnitude of i-node, phase angle, equivalent injection active power, equivalent injection Reactive power;Uj、θj、Pjs、QjsIt is respectively the voltage magnitude of j node, phase angle, equivalent injection active power, equivalent injection is idle Power g, b are respectively the conductance of circuit and admittance, b between i and j nodecFor the admittance over the ground of i and j node two ends, UDPFC、δDPoint The voltage of Distributed Power Flow controller between the i that Wei not access, j two node and phase angle;
(3) main iterative process adopts Newton-Laphson method solving system state variable, obtains the Ya Ke of system state variables Ratio passes through the running status of matrixing solving system after matrix, including voltage and phase angle, and carry out changing of system state variables In generation, is revised;
(4) following sub- iterative process, the control targe equation according to Distributed Power Flow controller and internal constraint side are entered Journey is modified to its state variable value, if the condition of convergence being not reaching in sub- iteration, repeats step (4), if Reach, then enter step (5);
The internal constraint equation of wherein Distributed Power Flow controller is:
PDPFCThe active power sending for Distributed Power Flow controller, its control strategy has constant line road active power controller Strategy and constant output control strategy;Adopt suitable control strategy according to the needs that system is controlled, to control line When road active power is steady state value, using constant circuit active power controller strategy, its control targe equation is:
PrefFor the circuit active power reference value setting, sub- iteration termination condition is max | Δ Pij,PDPFC|≤ε or iteration Number of times k>100, wherein max | Δ Pij,PDPFC| represent active power of output and circuit wattful power in each Distributed Power Flow controller Maximum in rate deviation;;
If desired Distributed Power Flow controller is carried out when constant output controls using constant output as controlling Strategy, its control targe is:
QrefCapacity for Distributed Power Flow controller sets reference value, and sub- iteration convergence condition is max | Δ QDPFC,PDPFC| ≤ ε or iterationses k>100, wherein max | Δ QDPFC,PDPFC| represent each Distributed Power Flow controller in output deviation and Maximum in active power;
(5) judge whether to meet system convergence condition, if so, then terminate Load flow calculation;If it is not, then going to step (2).
Wherein system convergence condition is max | Δ P, Δ Q | < ε or main iterationses m >=100;Δ P, Δ Q are each node Active power and the deviation of reactive power.
In step (4), (5), ε takes 10-5.
As shown in Fig. 2 according to the network structure of IEEE-30 node power system model and network parameter, this network includes 6 Platform electromotor (node 1,2,5,8,11,13) and 41 branch roads.Table 1 sets forth the initial fortune of branch road 2-6 and branch road 9-10 Row result, table 2 sets forth the situation installing DPFC on branch road 2-6 and branch road 9-10, and DPFC is separately mounted to above-mentioned branch road First section exit.
Table 1 IEEE-30 node system partial branch initial operating state
For verifying the correctness of Load flow calculation, this case study on implementation assumes three kinds of methods of operation.
The method of operation one:By installing DPFC in branch road 2,6 first section, controlling brancher transmits active reference value Pref=0.59, Line transmission power is made to increase 50%.
The method of operation two:By installing DPFC in branch road 9,10 first section, controlling brancher transmits active reference value Pref= 0.25 so that line transmission power reduction 25%.
The method of operation three:By installing DPFC in branch road 2-6 and branch road 9-10 simultaneously, controlling brancher transmits active reference value P26ref=0.4, P910ref=0.3.
Table 2 IEEE-30 node system associated branch adds the power flow solutions after DPFC
Calculation of tidal current in table 2 shows, under mode one, mode two and mode three, Distributed Power Flow controller is equal Branch Power Flow can be made to reach the reference value of control, thus demonstrating the reasonability of this algorithm.
The above is only the preferred embodiment of the present invention it is noted that ordinary skill people for the art For member, under the premise without departing from the principles of the invention, some improvements and modifications can also be made, these improvements and modifications also should It is considered as protection scope of the present invention.

Claims (2)

1. a kind of a large amount of distribution flow controller accesses tidal current computing method it is characterised in that this computational methods include as follows Step:
(1) system initialization, determines number, on-position and the control mode of Distributed Power Flow controller, described controlling party Formula includes constant circuit active power controller strategy and constant output control strategy, and arranges its state variable initial value;
(2) power deviation of each node of computing system, according to the equivalent power injection model correction phase of Distributed Power Flow controller The power deviation of articulare;
Equivalent injecting power mathematical model according to Distributed Power Flow controller:
Wherein, Ui, θi, Pis, QisIt is respectively the voltage magnitude of i-node, phase angle, equivalent injection active power, equivalent injection is idle Power;Uj、θj、Pjs、QjsThe respectively voltage magnitude of j node, phase angle, equivalent injection active power, equivalent injection reactive power G, b are respectively the conductance of circuit and admittance, b between i and j nodecFor the admittance over the ground of i and j node two ends, UDPFC、δDIt is respectively I, the voltage of Distributed Power Flow controller between j two node and the phase angle accessing;
(3) main iterative process adopts Newton-Laphson method solving system state variable, obtains the Jacobi square of system state variables By the running status of matrixing solving system after battle array, including voltage and phase angle, and carry out the iteration of system state variables and repair Just;
(4) following sub- iterative process, the control targe equation according to Distributed Power Flow controller and internal constraint equation pair are entered Its state variable value is modified, if the condition of convergence being not reaching in sub- iteration, repeats step (4), if reaching, Then enter step (5);
The internal constraint equation of wherein Distributed Power Flow controller is:
PDPFCThe active power sending for Distributed Power Flow controller, its control strategy has constant line road active power controller strategy And constant output control strategy;Adopt suitable control strategy according to the needs that system is controlled, have to control circuit When work(power is steady state value, using constant circuit active power controller strategy, its control targe equation is:
PrefFor the circuit active power reference value setting, sub- iteration termination condition is max | Δ Pij,PDPFC|≤ε or iterationses k>100, wherein max | Δ Pij,PDPFC| represent that in each Distributed Power Flow controller, active power of output and circuit active power are inclined Maximum in difference;
If desired Distributed Power Flow controller is carried out when constant output controls, adopting constant output to be control strategy, Its control targe is:
QrefCapacity for Distributed Power Flow controller sets reference value, and sub- iteration convergence condition is max | Δ QDPFC,PDPFC|≤ε Or iterationses k>100, wherein max | Δ QDPFC,PDPFC| represent output deviation and active in each Distributed Power Flow controller Maximum in power;
(5) judge whether to meet system convergence condition, if so, then terminate Load flow calculation;If it is not, then going to step (2);
Wherein system convergence condition is max | Δ P, Δ Q | < ε or main iterationses m >=100;Δ P, Δ Q are the active of each node Power and the deviation of reactive power.
2. the tidal current computing method that a large amount of distribution flow controller according to claim 1 accesses, is characterized in that:Step (1), in, the voltage magnitude initial value of Distributed Power Flow controller all takes 0.1p.u., and phase angle takesIn step (4), (5), ε takes 10-5.
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CN107425526A (en) * 2017-06-12 2017-12-01 武汉理工大学 Distributed Power Flow controller one phase equivalent emulation mode
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