CN107147124A - A kind of method of UPFC access systems, the node power injection models of UPFC five and tidal current computing method - Google Patents

A kind of method of UPFC access systems, the node power injection models of UPFC five and tidal current computing method Download PDF

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CN107147124A
CN107147124A CN201710575197.5A CN201710575197A CN107147124A CN 107147124 A CN107147124 A CN 107147124A CN 201710575197 A CN201710575197 A CN 201710575197A CN 107147124 A CN107147124 A CN 107147124A
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CN107147124B (en
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刘纲
黄俊辉
赵宏大
吴熙
殷天然
张文嘉
孙文涛
李辰
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State Grid Corp of China SGCC
Southeast University
State Grid Jiangsu Electric Power Co Ltd
Economic and Technological Research Institute of State Grid Jiangsu Electric Power Co Ltd
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Southeast University
State Grid Jiangsu Electric Power Co Ltd
Economic and Technological Research Institute of State Grid Jiangsu Electric Power Co Ltd
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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)
  • Pharmaceuticals Containing Other Organic And Inorganic Compounds (AREA)
  • Supply And Distribution Of Alternating Current (AREA)

Abstract

The invention discloses a kind of method of UPFC access systems, parallel inverter is passed through into parallel coupled transformer TshIt is connected with node k, node k is boosted by substation transformer T, is linked on series side line bus, the first series connection transverter passes through the first series coupled transformer Tse1It is connected to the first loop line road i1j1On, the second series connection transverter passes through the second series coupled transformer Tse2It is connected to the second loop line road i2j2On, the first series connection transverter and the second series connection transverter are all connected with DC capacitor C1 two ends, and the first series connection transverter and the second series connection transverter are of coupled connections parallel inverter.The invention also discloses the node power injection models of UPFC five and tidal current computing method.Power flowcontrol can be implemented separately to the back transmission line of series side two in the present invention, realize the section tidal current control of single back line under the failures of N 1, and model parallel connection side joint enters low-pressure side, improves access node voltage level, can embody the influence of side gusset in parallel and its follow-up circuit.

Description

A kind of method of UPFC access systems, the node power injection models of UPFC five and trend Computational methods
Technical field
The present invention relates to electric system simulation modeling technique, more particularly to a kind of method of UPFC access systems, UPFC Five node power injection models and tidal current computing method.
Background technology
THE UPFC (Unified Power Flow Controller, UPFC) is most powerful soft as function Property AC transmission system (Flexible AC Transmission System, FACTS) device, can simultaneously to transmission line of electricity Voltage, phase angle and impedance and busbar voltage carry out flexible regulation and control, while series compensation and shunt compensation function are realized, Flexibly rapidly the trend in transmission line of electricity can be regulated and controled.
UPFC modelings are the bases for studying UPFC power flowcontrols, at present, when carrying out Load flow calculation to the system containing UPFC, often Using equivalent power injection method, power injection model influenceing on equivalent two side gussets to corresponding line to system by UPFC, The embedded UPFC models in the case where not changing original node admittance battle array, maximally utilise Jacobi in traditional Load flow calculation The formula and experience of matrix formation.
Although current UPFC theoretical researches are relatively enriched, the UPFC engineerings of real input actual motion only have four, south Jingxi district looped network THE UPFC demonstration project (Nanjing UPFC engineerings) is domestic first, the 4th, world UPFC engineering. By taking the UPFC engineerings of Nanjing as an example, according to comprehensive actual consideration, UPFC uses special mounting means, two series side transformations of UPFC Device is arranged on the iron north side of iron north-dawn village double-circuit line;Iron north 220kV near nodals have 220kV Swallow Promontory main transformers, it is contemplated that The western looped network in region Nanjing that UPFC is installed is little in the nearly demand at a specified future date to reactive-load compensation, and the major function of UPFC parallel connections side is The active power with circuit switched of series side is compensated, UPFC parallel connection side joints enter the 35kV buses of Swallow Promontory main transformer, to save simultaneously Join the investment that the side change of current becomes, while Swallow Promontory node voltage level can be improved.
The content of the invention
Goal of the invention:It is an object of the invention to provide a kind of UPFC accesses that can solve the problem that defect present in prior art Method, the node power injection models of UPFC five and the tidal current computing method of system.
Technical scheme:To reach this purpose, the present invention uses following technical scheme:
The method of UPFC access systems of the present invention, parallel coupled transformer T is passed through by parallel invertershWith node K is connected, and node k is boosted by substation transformer T, is linked on series side line bus, and the first series connection transverter leads to Cross the first series coupled transformer Tse1It is connected to the first loop line road i1j1On, the second series connection transverter is become by the second series coupled Depressor Tse2It is connected to the second loop line road i2j2On, the first series connection transverter and the second series connection transverter are all connected with DC capacitor C1 two End, and the first series connection transverter and the second series connection transverter be of coupled connections parallel inverter.
Using the node power injection models of UPFC five of the method for UPFC access systems of the present invention, UPFC input Information is respectively:Node i1、i2、j1、j2, k voltage magnitudeVkAnd phase angle θk, controlled circuit i1j1Active powerAnd reactive powerControlled circuit i2j2Active powerAnd reactive powerUPFC output information is node i1、i2、j1、j2, k injection active powerPksAnd injection Reactive powerQks;UPFC control targes are controlled Line Flow And node voltageShown in relation such as formula (1)-(10) between parameters:
Qks=VkIq (10)
Wherein,For the first series coupled transformer Tse1Ideal voltage source voltage synthesize obtained electricity with reactance pressure drop Press phase angle,For the first series coupled transformer Tse1Ideal voltage source voltage synthesize obtained voltage magnitude with reactance pressure drop,For the second series coupled transformer Tse2Ideal voltage source voltage synthesize obtained voltage phase angle with reactance pressure drop,For Two series coupled transformer Tse2Ideal voltage source voltage synthesize obtained voltage magnitude with reactance pressure drop, such as formula (11) and (12) shown in, gij、bij、bcijConductance, susceptance respectively on circuit and over the ground susceptance, IqForRelative to node k voltages's Reactive component;For effluent ingress k in parallel electric current, namely side in parallel output current;
Wherein,For the first series coupled transformer Tse1Ideal voltage source voltage magnitude,For the first series connection coupling Close transformer Tse1Ideal voltage source voltage phase angle,For the first series coupled transformer Tse1Ideal voltage source electricity It is anti-,For the first loop line road i1j1The electric current of place branch road,For the second series coupled transformer Tse2Ideal voltage source Voltage magnitude,For the second series coupled transformer Tse2Ideal voltage source voltage phase angle,Become for the second series coupled Depressor Tse2Ideal voltage source reactance,For the second loop line road i2j2The electric current of place branch road;
VshFor parallel coupled transformer TshIdeal voltage source voltage magnitude, θshFor parallel coupled transformer TshReason Think the voltage phase angle of voltage source, XshFor parallel coupled transformer TshIdeal voltage source reactance, voltage source V in side in parallelsh∠θsh With side output current in parallelRelation it is as follows:
The tidal current computing method of the node power injection models of UPFC five of the present invention, comprises the following steps:
(1) UPFC is not added, carries out Load flow calculation under primary condition;
(2) UPFC input information, typing UPFC control targe are read from data-interface;According to initial Load flow calculation Natural trend valueWith the Line Flow set in UPFC control targesObtain Node j1And j2Injecting power, that is, obtainAccording to formula (5)-formula (8), V ' is calculatedse1、 θ′se1With V 'se2、θ′se2;Further according to formula (1)-formula (4) and formula (9), calculating obtains output information Pks
(3) new state variable is calculated by obtained output valveWith
(4) new input information is obtained again, judges whether new state variable restrains;If not restraining, step (2) is returned to; If convergence, UPFC series side controlled quentity controlled variables V is calculated according to output valve and formula (11)-formula (12)se1, θse1, Vse2, θse2, according to Formula (10) calculates egress k reactive power Qks
(5) controlled quentity controlled variable V in side in parallel is obtained by formula (13)shAnd θsh
Beneficial effect:The node power injection models of UPFC five in the present invention, in terms of series side, the UPFC models can be with Power flowcontrol is implemented separately to the back transmission line of series side two, it is possible to achieve the section tidal current control of single back line under N-1 failures; In side face in parallel, model parallel connection side joint enters low-pressure side, improves access node voltage level, and can embody side section in parallel The influence of point and its follow-up circuit;Two series sides share a side in parallel transverter, and transverter is connected to low-voltage bus bar section On point, investment is reduced.Meanwhile, in actual emulation operation, using the model in the present invention, it can more accurately assess reality UPFC control ability in the engineering of border, confidence level and the degree of accuracy are higher.
Brief description of the drawings
Fig. 1 is the UPFC real topologies in Nanjing UPFC engineerings in the specific embodiment of the invention;
Fig. 2 is the UPFC structure charts for the access system that the specific embodiment of the invention is proposed;
Fig. 3 is the nodal analysis method equivalent circuits of UPFC five of the specific embodiment of the invention;
Fig. 4 is the node power injection models of UPFC five of the specific embodiment of the invention.
Embodiment
Technical scheme is further introduced with reference to embodiment.
Present embodiment discloses a kind of method of UPFC access systems, and parallel inverter 1 is passed through into parallel coupled Transformer TshIt is connected with node k, node k is boosted by substation transformer T, is linked on series side line bus, the One series connection transverter 2 passes through the first series coupled transformer Tse1It is connected to the first loop line road i1j1On, the second series connection transverter 3 leads to Cross the second series coupled transformer Tse2It is connected to the second loop line road i2j2On, the first series connection series connection transverter 3 of transverter 2 and second It is all connected with DC capacitor C1 two ends, and the first series connection series connection transverter 3 of transverter 2 and second is of coupled connections parallel inverter 1.
Use node power injection models of UPFC five that the method for UPFC access systems is set up as shown in figure 4, for:Node i1、i2、j1、j2, k voltage magnitudeVkAnd phase angleθk, controlled circuit i1j1 Active powerAnd reactive powerControlled circuit i2j2Active powerAnd reactive powerUPFC output letter Cease for node i1、i2、j1、j2, k injection active power PksWith injection reactive powerQks;UPFC control targes are controlled Line FlowAnd node VoltageShown in relation such as formula (1)-(10) between parameters:
Qks=VkIq (10)
Wherein,For the first series coupled transformer Tse1Ideal voltage source voltage synthesize obtained electricity with reactance pressure drop Press phase angle,For the first series coupled transformer Tse1Ideal voltage source voltage synthesize obtained voltage magnitude with reactance pressure drop,For the second series coupled transformer Tse2Ideal voltage source voltage synthesize obtained voltage phase angle with reactance pressure drop,For Two series coupled transformer Tse2Ideal voltage source voltage synthesize obtained voltage magnitude with reactance pressure drop, such as formula (11) and (12) shown in, gij、bij、bcijConductance, susceptance respectively on circuit and over the ground susceptance, IqForRelative to node k voltages's Reactive component;For effluent ingress k in parallel electric current, namely side in parallel output current;
Wherein,For the first series coupled transformer Tse1Ideal voltage source voltage amplitude,For the first series connection coupling Close transformer Tse1Ideal voltage source voltage phase angle,For the first series coupled transformer Tse1Ideal voltage source voltage Reactance,For the first loop line road i1j1The electric current of place branch road,For the second series coupled transformer Tse2Desired voltage The amplitude of source voltage,For the second series coupled transformer Tse2Ideal voltage source voltage phase angle,For the second series connection coupling Close transformer Tse2Ideal voltage source voltage reactance,For the second loop line road i2j2The electric current of place branch road.
VshFor parallel coupled transformer TshIdeal voltage source voltage magnitude, θshFor parallel coupled transformer TshReason Think the voltage phase angle of voltage source, XshFor parallel coupled transformer TshIdeal voltage source reactance, voltage source V in side in parallelsh∠θsh With side output current in parallelRelation it is as follows:
Fig. 3 is the nodal analysis method equivalent circuits of UPFC five.
Add UPFC Line Flow beCircuit nature trend be j1、j2Injecting power beWherein, Line Flow, the circuit added after UPFC Natural trend and j1、j2Injecting power have following relation:
Set the loop line road i of series side two1j1And i2j2Power flowcontrol value be respectively Pref1、Qref1And Pref2、Qref2, can be by Pref1、Qref1、Pref2、Qref2In replacing respectivelyAnd obtain j1、j2The injection of side gusset PowerDue to generally node i1、i2Voltage magnitude there is relation: And ViThe reactive power Q of side injection in parallel with UPFCksThere is direct relation, therefore use PI to control the idle note as UPFC sides in parallel Enter Power Control rule, be expressed as:
Wherein Kp、KiRespectively busbar voltage control ratio, integral coefficient;VrefFor i-node voltage ViSetting value.
Its condition of convergence is:
In formula, ε is convergence precision.
The tidal current computing method of the node power injection models of UPFC five, comprises the following steps:
(1) UPFC is not added, carries out Load flow calculation under primary condition;
(2) UPFC input information, typing UPFC control targe are read from data-interface;According to initial Load flow calculation Natural trend valueWith the Line Flow set in UPFC control targes Obtain node j1And j2Injecting power, namely obtain According to formula (5)-formula (8), calculate V′se1、θ′se1With V 'se2、θ′se2;Further according to formula (1)-formula (4) and formula (9), calculating obtains output informationPks
(3) new state variable is calculated by obtained output valveWith
(4) new input information is obtained again, judges whether new state variable restrains;If not restraining, step (2) is returned to; If convergence, UPFC series side controlled quentity controlled variables V is calculated according to output valve and formula (11)-formula (12)se1, θse1, Vse2, θse2, according to Formula (10) calculates egress k reactive power Qks
(5) controlled quentity controlled variable V in side in parallel is obtained by formula (13)shAnd θsh
Below the present invention is described in detail using Nanjing UPFC engineerings winter operation system in 2015 as embodiment.
Fig. 1 is the UPFC real topologies in the UPFC engineerings of Nanjing.Built in PSASP/UD simulation softwares such as Fig. 2 institutes The node power injection models of UPFC five shown.UPFC series side coupling transformer injecting voltage maximums V is setsemax= 0.115p.u., series side coupling transformer internal reactance Xse1=Xse2=0.0037p.u., side converter power transformer internal reactance X in parallelsh =0.004p.u., side coupling transformer Injection Current maximum I in parallelshmax=2.0p.u..PI controller parameters are:Kp=1, Ki=1.Swallow Promontory becomes internal reactance XT=0.0887p.u..
Example is Nanjing UPFC engineerings winter operation system in 2015.When not installing UPFC, iron north-dawn village section tidal current is UPFC series sides circuit nature trend is Pline=3.692p.u., Qline=-0.2973p.u., bus iron Bei Chu voltage Vs= 1.000p.u.。
Example sets UPFC active power controller target in different numbers after the node power injection models of UPFC five are installed Value, wherein control reactive power maintains initial value, control accuracy is 10-3.Emulation can obtain iron north-dawn village circuit, and (UPFC connects Side), iron north-Swallow Promontory circuit (UPFC parallel connection side) electric current and Line Flow control result, as shown in table 1, it can be seen that should UPFC models can be by control targe control in designated value, so as to realize the power flowcontrol functions of UPFC in systems.
Table 1

Claims (3)

1. a kind of method of UPFC access systems, it is characterised in that:Parallel inverter (1) is passed through into parallel coupled transformer TshWith Node k is connected, and node k is boosted by substation transformer T, is linked on series side line bus, the first series connection change of current Device (2) passes through the first series coupled transformer Tse1It is connected to the first loop line road i1j1On, the second series connection transverter (3) passes through second Series coupled transformer Tse2It is connected to the second loop line road i2j2On, the first series connection transverter (2) and the second series connection transverter (3) are Connect DC capacitor C1 two ends, and the first series connection transverter (2) and the second transverter (3) of connecting are of coupled connections parallel inverter (1)。
2. the node power injection models of UPFC five of the method using UPFC access systems according to claim 1, it is special Levy and be:UPFC input information is respectively:Node i1、i2、j1、j2, k voltage magnitudeVkAnd phase Angleθk, controlled circuit i1j1Active powerAnd reactive powerControlled circuit i2j2It is active PowerAnd reactive powerUPFC output information is node i1、i2、j1、j2, k injection active powerPksWith injection reactive powerQks;UPFC control targes are controlled line Road trendAnd node voltageRelation such as formula (1)-(10) institute between parameters Show:
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<mrow> <msub> <mi>P</mi> <mrow> <msub> <mi>i</mi> <mn>2</mn> </msub> <mi>s</mi> </mrow> </msub> <mo>=</mo> <mo>-</mo> <msub> <mi>V</mi> <msub> <mi>i</mi> <mn>2</mn> </msub> </msub> <msubsup> <mi>V</mi> <mrow> <msub> <mi>se</mi> <mn>2</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>&amp;lsqb;</mo> <msub> <mi>g</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mrow> <mo>(</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <msub> <mi>se</mi> <mn>2</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>i</mi> <mn>2</mn> </msub> </msub> <mo>)</mo> </mrow> <mo>-</mo> <mrow> <mo>(</mo> <msub> <mi>b</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>b</mi> <mrow> <mi>c</mi> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>/</mo> <mn>2</mn> <mo>)</mo> </mrow> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mrow> <mo>(</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <msub> <mi>se</mi> <mn>2</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>i</mi> <mn>2</mn> </msub> </msub> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>Q</mi> <mrow> <msub> <mi>i</mi> <mn>2</mn> </msub> <mi>s</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>V</mi> <msub> <mi>i</mi> <mn>2</mn> </msub> </msub> <msubsup> <mi>V</mi> <mrow> <msub> <mi>se</mi> <mn>2</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>&amp;lsqb;</mo> <msub> <mi>g</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mrow> <mo>(</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <msub> <mi>se</mi> <mn>2</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>i</mi> <mn>2</mn> </msub> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mrow> <mo>(</mo> <msub> <mi>b</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>b</mi> <mrow> <mi>c</mi> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>/</mo> <mn>2</mn> <mo>)</mo> </mrow> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mrow> <mo>(</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <msub> <mi>se</mi> <mn>2</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>i</mi> <mn>2</mn> </msub> </msub> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>P</mi> <mrow> <msub> <mi>j</mi> <mn>1</mn> </msub> <mi>s</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>V</mi> <msub> <mi>j</mi> <mn>1</mn> </msub> </msub> <msubsup> <mi>V</mi> <mrow> <msub> <mi>se</mi> <mn>1</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>&amp;lsqb;</mo> <msub> <mi>g</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mrow> <mo>(</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <msub> <mi>se</mi> <mn>1</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>j</mi> <mn>1</mn> </msub> </msub> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>b</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mrow> <mo>(</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <msub> <mi>se</mi> <mn>1</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>j</mi> <mn>1</mn> </msub> </msub> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>5</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>Q</mi> <mrow> <msub> <mi>j</mi> <mn>1</mn> </msub> <mi>s</mi> </mrow> </msub> <mo>=</mo> <mo>-</mo> <msub> <mi>V</mi> <msub> <mi>j</mi> <mn>1</mn> </msub> </msub> <msubsup> <mi>V</mi> <mrow> <msub> <mi>se</mi> <mn>1</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>&amp;lsqb;</mo> <msub> <mi>g</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mrow> <mo>(</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <msub> <mi>se</mi> <mn>1</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>j</mi> <mn>1</mn> </msub> </msub> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>b</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mrow> <mo>(</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <msub> <mi>se</mi> <mn>1</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>j</mi> <mn>1</mn> </msub> </msub> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>6</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>P</mi> <mrow> <msub> <mi>j</mi> <mn>2</mn> </msub> <mi>s</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>V</mi> <msub> <mi>j</mi> <mn>2</mn> </msub> </msub> <msubsup> <mi>V</mi> <mrow> <msub> <mi>se</mi> <mn>2</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>&amp;lsqb;</mo> <msub> <mi>g</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mrow> <mo>(</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <msub> <mi>se</mi> <mn>2</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>j</mi> <mn>2</mn> </msub> </msub> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>b</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mrow> <mo>(</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <msub> <mi>se</mi> <mn>2</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>j</mi> <mn>2</mn> </msub> </msub> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>7</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>Q</mi> <mrow> <msub> <mi>j</mi> <mn>2</mn> </msub> <mi>s</mi> </mrow> </msub> <mo>=</mo> <mo>-</mo> <msub> <mi>V</mi> <msub> <mi>j</mi> <mn>2</mn> </msub> </msub> <msubsup> <mi>V</mi> <mrow> <msub> <mi>se</mi> <mn>2</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>&amp;lsqb;</mo> <msub> <mi>g</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mrow> <mo>(</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <msub> <mi>se</mi> <mn>2</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>j</mi> <mn>2</mn> </msub> </msub> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>b</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mrow> <mo>(</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <msub> <mi>se</mi> <mn>2</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>j</mi> <mn>2</mn> </msub> </msub> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>8</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>P</mi> <mrow> <mi>k</mi> <mi>s</mi> </mrow> </msub> <mo>=</mo> <mtable> <mtr> <mtd> <mrow> <mo>-</mo> <msubsup> <mi>V</mi> <mrow> <mi>s</mi> <mi>e</mi> <mn>1</mn> </mrow> <mrow> <mo>&amp;prime;</mo> <mn>2</mn> </mrow> </msubsup> <msub> <mi>g</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>-</mo> <msubsup> <mi>V</mi> <mrow> <mi>s</mi> <mi>e</mi> <mn>1</mn> </mrow> <mo>&amp;prime;</mo> </msubsup> <msub> <mi>V</mi> <msub> <mi>i</mi> <mn>1</mn> </msub> </msub> <mo>&amp;lsqb;</mo> <msub> <mi>g</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>cos</mi> <mrow> <mo>(</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <mi>s</mi> <mi>e</mi> <mn>1</mn> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>i</mi> <mn>1</mn> </msub> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mrow> <mo>(</mo> <msub> <mi>b</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>b</mi> <mrow> <mi>c</mi> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>/</mo> <mn>2</mn> <mo>)</mo> </mrow> <mi>sin</mi> <mrow> <mo>(</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <mi>s</mi> <mi>e</mi> <mn>1</mn> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>i</mi> <mn>1</mn> </msub> </msub> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mo>+</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msubsup> <mi>V</mi> <mrow> <mi>s</mi> <mi>e</mi> <mn>1</mn> </mrow> <mo>&amp;prime;</mo> </msubsup> <msub> <mi>V</mi> <msub> <mi>j</mi> <mn>1</mn> </msub> </msub> <mrow> <mo>(</mo> <msub> <mi>g</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>cos</mi> <mo>(</mo> <mrow> <msubsup> <mi>&amp;theta;</mi> <mrow> <mi>s</mi> <mi>e</mi> <mn>1</mn> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>j</mi> <mn>1</mn> </msub> </msub> </mrow> <mo>)</mo> <mo>+</mo> <msub> <mi>b</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>sin</mi> <mo>(</mo> <mrow> <msubsup> <mi>&amp;theta;</mi> <mrow> <mi>s</mi> <mi>e</mi> <mn>1</mn> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>j</mi> <mn>1</mn> </msub> </msub> </mrow> <mo>)</mo> <mo>)</mo> </mrow> <mo>-</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msubsup> <mi>V</mi> <mrow> <mi>s</mi> <mi>e</mi> <mn>1</mn> </mrow> <mrow> <mo>&amp;prime;</mo> <mn>2</mn> </mrow> </msubsup> <msub> <mi>g</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>-</mo> <msubsup> <mi>V</mi> <mrow> <mi>s</mi> <mi>e</mi> <mn>2</mn> </mrow> <mo>&amp;prime;</mo> </msubsup> <msub> <mi>V</mi> <msub> <mi>i</mi> <mn>2</mn> </msub> </msub> <mo>&amp;lsqb;</mo> <msub> <mi>g</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>cos</mi> <mrow> <mo>(</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <mi>s</mi> <mi>e</mi> <mn>2</mn> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>i</mi> <mn>2</mn> </msub> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mrow> <mo>(</mo> <msub> <mi>b</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>b</mi> <mrow> <mi>c</mi> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>/</mo> <mn>2</mn> <mo>)</mo> </mrow> <mi>sin</mi> <mrow> <mo>(</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <mi>s</mi> <mi>e</mi> <mn>2</mn> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>i</mi> <mn>2</mn> </msub> </msub> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mo>+</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msubsup> <mi>V</mi> <mrow> <mi>s</mi> <mi>e</mi> <mn>2</mn> </mrow> <mo>&amp;prime;</mo> </msubsup> <msub> <mi>V</mi> <msub> <mi>j</mi> <mn>2</mn> </msub> </msub> <mrow> <mo>(</mo> <msub> <mi>g</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>cos</mi> <mo>(</mo> <mrow> <msubsup> <mi>&amp;theta;</mi> <mrow> <mi>s</mi> <mi>e</mi> <mn>2</mn> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>j</mi> <mn>2</mn> </msub> </msub> </mrow> <mo>)</mo> <mo>+</mo> <msub> <mi>b</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>sin</mi> <mo>(</mo> <mrow> <msubsup> <mi>&amp;theta;</mi> <mrow> <mi>s</mi> <mi>e</mi> <mn>2</mn> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <msub> <mi>j</mi> <mn>2</mn> </msub> </msub> </mrow> <mo>)</mo> <mo>)</mo> </mrow> <mo>=</mo> <mn>0</mn> </mrow> </mtd> </mtr> </mtable> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>9</mn> <mo>)</mo> </mrow> </mrow>
Qks=VkIq (10)
Wherein,For the first series coupled transformer Tse1Ideal voltage source voltage obtained voltage phase is synthesized with reactance pressure drop Angle,For the first series coupled transformer Tse1Ideal voltage source voltage synthesize obtained voltage magnitude with reactance pressure drop, For the second series coupled transformer Tse2Ideal voltage source voltage synthesize obtained voltage phase angle with reactance pressure drop,For second Series coupled transformer Tse2Ideal voltage source voltage synthesize obtained voltage magnitude with reactance pressure drop, such as formula (11) and (12) It is shown, gij、bij、bcijConductance, susceptance respectively on circuit and over the ground susceptance, IqForRelative to node k voltagesIt is idle Component;For effluent ingress k in parallel electric current, namely side in parallel output current;
<mrow> <msubsup> <mi>V</mi> <mrow> <msub> <mi>se</mi> <mn>1</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>&amp;angle;</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <msub> <mi>se</mi> <mn>1</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>=</mo> <msub> <mi>V</mi> <mrow> <msub> <mi>se</mi> <mn>1</mn> </msub> </mrow> </msub> <mo>&amp;angle;</mo> <msub> <mi>&amp;theta;</mi> <mrow> <msub> <mi>se</mi> <mn>1</mn> </msub> </mrow> </msub> <mo>-</mo> <msub> <mi>jX</mi> <mrow> <msub> <mi>se</mi> <mn>1</mn> </msub> </mrow> </msub> <mo>&amp;CenterDot;</mo> <msub> <mover> <mi>I</mi> <mo>&amp;CenterDot;</mo> </mover> <mrow> <msub> <mi>l</mi> <mn>1</mn> </msub> <msub> <mi>j</mi> <mn>1</mn> </msub> </mrow> </msub> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>11</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msubsup> <mi>V</mi> <mrow> <msub> <mi>se</mi> <mn>2</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>&amp;angle;</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <msub> <mi>se</mi> <mn>2</mn> </msub> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>=</mo> <msub> <mi>V</mi> <mrow> <msub> <mi>se</mi> <mn>2</mn> </msub> </mrow> </msub> <mo>&amp;angle;</mo> <msub> <mi>&amp;theta;</mi> <mrow> <msub> <mi>se</mi> <mn>2</mn> </msub> </mrow> </msub> <mo>-</mo> <msub> <mi>jX</mi> <mrow> <msub> <mi>se</mi> <mn>2</mn> </msub> </mrow> </msub> <mo>&amp;CenterDot;</mo> <msub> <mover> <mi>I</mi> <mo>&amp;CenterDot;</mo> </mover> <mrow> <msub> <mi>l</mi> <mn>2</mn> </msub> <msub> <mi>j</mi> <mn>2</mn> </msub> </mrow> </msub> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>12</mn> <mo>)</mo> </mrow> </mrow>
Wherein,For the first series coupled transformer Tse1Ideal voltage source voltage magnitude,For the first series coupled transformation Device Tse1Ideal voltage source voltage phase angle,For the first series coupled transformer Tse1Ideal voltage source reactance, For the first loop line road i1j1The electric current of place branch road,For the second series coupled transformer Tse2Ideal voltage source voltage amplitude Value,For the second series coupled transformer Tse2Ideal voltage source voltage phase angle,For the second series coupled transformer Tse2Ideal voltage source reactance,For the second loop line road i2j2The electric current of place branch road;
VshFor parallel coupled transformer TshIdeal voltage source voltage magnitude, θshFor parallel coupled transformer TshDesired electrical The voltage phase angle of potential source, XshFor parallel coupled transformer TshIdeal voltage source reactance, voltage source V in side in parallelsh∠θshSimultaneously Join side output currentRelation it is as follows:
<mrow> <msub> <mi>V</mi> <mrow> <mi>s</mi> <mi>h</mi> </mrow> </msub> <mo>&amp;angle;</mo> <msub> <mi>&amp;theta;</mi> <mrow> <mi>s</mi> <mi>h</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>V</mi> <mi>k</mi> </msub> <mo>&amp;angle;</mo> <msub> <mi>&amp;theta;</mi> <mi>k</mi> </msub> <mo>+</mo> <msub> <mi>jX</mi> <mrow> <mi>s</mi> <mi>h</mi> </mrow> </msub> <msub> <mover> <mi>I</mi> <mo>&amp;CenterDot;</mo> </mover> <mrow> <mi>s</mi> <mi>h</mi> </mrow> </msub> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>13</mn> <mo>)</mo> </mrow> </mrow>
3. the tidal current computing method of the node power injection models of UPFC five according to claim 2, it is characterised in that:Including Following steps:
(1) UPFC is not added, carries out Load flow calculation under primary condition;
(2) UPFC input information, typing UPFC control targe are read from data-interface;According to the nature of initial Load flow calculation Trend valueWith the Line Flow set in UPFC control targes Obtain node j1And j2Injecting power, that is, obtainAccording to formula (5)-formula (8), calculate V′se1、θ′se1With V 'se2、θ′se2;Further according to formula (1)-formula (4) and formula (9), calculating obtains output information
(3) new state variable is calculated by obtained output valveWith
(4) new input information is obtained again, judges whether new state variable restrains;If not restraining, step (2) is returned to;If receiving Hold back, then UPFC series side controlled quentity controlled variables V is calculated according to output valve and formula (11)-formula (12)se1, θse1, Vse2, θse2, according to formula (10) egress k reactive power Q is calculatedks
(5) controlled quentity controlled variable V in side in parallel is obtained by formula (13)shAnd θsh
CN201710575197.5A 2017-07-14 2017-07-14 A kind of method of UPFC access system, five node power injection model of UPFC and tidal current computing method Active CN107147124B (en)

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