CN103412199B - A kind of computational methods of same many back transmission lines of tower degree of unbalancedness - Google Patents
A kind of computational methods of same many back transmission lines of tower degree of unbalancedness Download PDFInfo
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Abstract
The present invention relates to a kind of computational methods of same many back transmission lines of tower degree of unbalancedness, first, according to transmission line wire model, wire divisional mode, shaft tower type and lightning conducter connected mode, calculate circuit initial impedance, admittance matrix; Secondly under PSCAD/EMTDC environment, based on result of calculation, select electric parameter, set up with many back transmission lines of tower model; Then set respectively the short circuit of transmission line of electricity end and open circuit, calculate line end short-circuit current value and terminal open circuit current value, the conversion of application symmetrical component method obtains the order component of end short circuit current and open-circuit current; Finally endways on short circuit current and terminal open circuit current sequence components basis, calculate same many back transmission lines of tower electromagnetism and unbalance static degree. The present invention can calculate the degree of unbalancedness of the many back transmission lines of same tower comprehensively, accurately, easily, for same many back transmission lines of tower optimal design and operation under different electric pressures, different shaft tower type, different phase sequence arrangement provide theoretical direction.
Description
Technical field
The present invention relates to the research of a kind of electric power disequilibrium, particularly a kind of computational methods of same many back transmission lines of tower degree of unbalancedness.
Background technology
Along with the fast development of China's power grid construction, it is more and more in short supply that power transmission line corridor becomes, and feeds back electricity as a kind of New type of transmission with tower more, is used widely in China. Feed back electricity asymmetric due to circuit between and line-to-ground position with tower more, cause between circuit mutual inductance asymmetric, thereby cause circuit three-phase asymmetric. The asymmetric meeting of Three-phase Power Systems causes adverse effect to electrical equipments such as generator, relay protection, transformers, and the reduction of user's side quality of power supply, line loss are increased. Computational analysis is to guarantee the prerequisite of same many back transmission lines of tower safety, economy, reliability service with the degree of unbalancedness of the many back transmission lines of tower.
, mainly there is following problem in the research to same many back transmission lines of tower degree of unbalancedness both at home and abroad at present: does not 1. consider the impact of the different connected modes of lightning conducter on degree of unbalancedness; 2. the calculating to uneven measurement index, only consider the circulation imbalance between level two loops, do not consider the circulation imbalance between other loops, and definition Shortcomings part to circuit through unbalance, be difficult to accurately reflect the physical essence of three-phase imbalance; 3. degree of unbalancedness measurement index is various, lacks practicality in practical engineering application.
Summary of the invention
The present invention be directed to the problem with many back transmission lines of tower degree of unbalancedness both at home and abroad, a kind of computational methods of same many back transmission lines of tower degree of unbalancedness are proposed, consider the impact of the different connected modes of lightning conducter on line parameter circuit value, propose to characterize the measurement index computational methods of degree of unbalancedness physical essence, and by professional software PSCAD/EMTDC simulation calculation the degree of unbalancedness with the many back transmission lines of tower, can be different electric pressures, different shaft tower types, same many back transmission lines of tower optimal design and operation under different phase sequence arrangements provide theoretical direction, there is practicality, accurately, feature easily.
Technical scheme of the present invention is: a kind of computational methods of same many back transmission lines of tower degree of unbalancedness, specifically comprise the steps:
1) according to transmission line wire model, wire divisional mode, shaft tower type and lightning conducter connected mode, calculate circuit initial impedance, admittance matrix;
2) under PSCAD/EMTDC environment, based on the result of calculation of step 1), select electric parameter, set up with many back transmission lines of tower model;
3) set respectively the short circuit of transmission line of electricity end and open circuit, calculate respectively line end short-circuit current value and terminal open circuit current value, application symmetrical component method, conversion obtains positive and negative, the zero-sequence component of end short circuit current and open-circuit current;
4) the end short circuit current based on obtaining and terminal open circuit current sequence components, calculates same many back transmission lines of tower electromagnetic unbalance degree and unbalance static degree.
The concrete calculation procedure of described step 1) is as follows:
A: according to Carson's formula, calculate mutual impedance and transadmittance between every time every phase circuit self-impedance and self-admittance, every phase, obtain initial impedance, the admittance matrix of the many back transmission lines of same tower;
B: when ground wire grounding connects, by initial impedance, admittance matrix are carried out to matrix reduction conversion, impedance, the admittance matrix of the lightning conducter that is eliminated impact.
Described step 2) specifically comprise the steps:
First, the circuit initial impedance, the admittance matrix that calculate based on step 1), create line impedance matrix, admittance matrix Parameter File (.txt);
Then, under PSCAD/EMTDC environment, select the corresponding power supply of circuit, electric pressure, capacity of short circuit, select corresponding transformer, overhead transmission line and determine corresponding electric parameter, in overhead power transmission line attribute, select manual incoming line impedance, admittance parameter; Finally, set up with many back transmission lines of tower model.
Described step 3) specifically comprises:
Set transmission line of electricity end three-phase shortcircuit, by simulation calculation, obtain the three-phase shortcircuit current value under end short circuit condition, application symmetrical component method converts short circuit current, obtains short circuit current order component; Set transmission line of electricity end three-phase open circuit, by simulation calculation, obtain the three-phase opening amperage under terminal open circuit condition, application symmetrical component method open-circuit electric current converts, and obtains open-circuit current order component.
In described step 4), calculate with many back transmission lines of tower electromagnetic unbalance degree:
The maximum that the electromagnetism of getting each loop line road passes through electromagnetism circulation pattern degree of unbalancedness between type degree of unbalancedness and each time characterizes the electromagnetism through unbalance degree of the many back transmission lines of same towerM t With electromagnetism circulation degree of unbalancednessM c ，
If themLoop line road electromagnetism passes through type degree of unbalancednessM tm WithmHui YunElectromagnetism circulation pattern degree of unbalancedness between returningM cmn Be respectively:
With the electromagnetism through unbalance degree of the many back transmission lines of towerM t With electromagnetism circulation degree of unbalancednessM c For:
，
WhereinBemLoop end short circuit forward-order current,BemLoop end short circuit negative-sequence current,BenLoop end short circuit forward-order current,BenLoop end short circuit negative-sequence current,BeiCircuit electromagnetic through unbalance degree,Bei-1 loop andiElectromagnetism circulation degree of unbalancedness between loop,iFor total loop number.
Described step 4) is calculated with many back transmission lines of tower unbalance static degree:
The maximum that the static of getting each loop line road passes through electrostatic ring flow pattern degree of unbalancedness between type degree of unbalancedness and each time characterizes the static through unbalance degree of the many back transmission lines of same towerD t With static circulation degree of unbalancednessD c ，
If themLoop line road static passes through type degree of unbalancednessD tm WithmHui YunElectrostatic ring flow pattern degree of unbalancedness between returningD cmn Be respectively:
With the static through unbalance degree of the many back transmission lines of towerD t With static circulation degree of unbalancednessD c For:
WhereinBemLoop terminal open circuit forward-order current,BemLoop terminal open circuit negative-sequence current,BenLoop terminal open circuit forward-order current,BenLoop terminal open circuit negative-sequence current,BeiLoop static through unbalance degree,Bei-1 loop andiStatic circulation degree of unbalancedness between loop,iFor total loop number, value is 2,4 or 6.
Beneficial effect of the present invention is: the computational methods of a kind of same many back transmission lines of tower degree of unbalancedness of the present invention, consider the impact of lightning conducter connected mode on transmission line of electricity electric parameter, utilize professional software PSCAD/EMTDC simulation calculation transmission line of electricity current sequence components, proposed to characterize the measurement index computational methods of degree of unbalancedness physical essence. Use the method, can calculate comprehensively, accurately, easily the degree of unbalancedness of the many back transmission lines of same tower, for same many back transmission lines of tower optimal design and operation under different electric pressures, different shaft tower type, different phase sequence arrangement provide theoretical direction.
Brief description of the drawings
Fig. 1 is the computational methods flow chart of the present invention with many back transmission lines of tower degree of unbalancedness;
Fig. 2 is same many back transmission lines of the tower modeling flow chart under PSCAD/EMTDC environment of the present invention.
Detailed description of the invention
With the computational methods flow chart of many back transmission lines of tower degree of unbalancedness, a kind of computational methods of same many back transmission lines of tower degree of unbalancedness, comprise the steps: as shown in Figure 1
1, according to transmission line wire model, wire divisional mode, shaft tower type and lightning conducter connected mode, according to Carson's formula, calculate circuit initial impedance, admittance matrix, formula is as follows:
In above formula,Z nn For circuitnSelf-impedance,Z mn For circuitmWithnBetween mutual impedance,Y nn For circuitnSelf-admittance,Y mn For circuitmWithnBetween transadmittance;lFor conductor length;RFor the resistance of wire or lightning conducter;r e For the effective radius of wire or lightning conducter;d mn Be two wire geometric center spacing;hFor the average height of wire;D mn For wiremTo wirenDistance between mirror image.
It is characterized by, consider the impact of the different connected modes of lightning conducter on line parameter circuit value, in the time that lightning conducter insulation connects, do not form loop, the induced potential that transmission line of electricity electric current induces on lightning conducter cannot form induced-current, therefore on line parameter circuit value without impact; In the time that ground wire grounding connects, the induced potential that transmission line of electricity electric current induces on lightning conducter forms loop by the earth, have induced-current circulation, induced-current also produces induced potential to transmission line of electricity, therefore under this condition, should consider lightning conducter impact when computational scheme parameter.
According to the following formula, the lightning conducter electric current that is eliminated、The impedance matrix of impact.
In formula,For eliminating the same tower of lightning conducter impactnBack transmission line impedance matrix,ForiReturnpPhase self-impedance,ForiReturnpWithjReturnqMutual impedance mutually,p、qGeta、b、c，w、uFor lightning conducter.
2, same many back transmission lines of the tower modeling flow chart under PSCAD/EMTDC environment as shown in Figure 2, impedance, the admittance matrix of initial impedance, admittance matrix or the impact of cancellation lightning conducter calculating based on step 1, create line impedance matrix, admittance matrix Parameter File (.txt), under PSCAD/EMTDC environment, select corresponding power supply, electric pressure, capacity of short circuit, select corresponding transformer, overhead transmission line, determine corresponding electric parameter. In overhead power transmission line attribute, select manual incoming line impedance, admittance parameter, and further select above-mentioned created impedance, admittance matrix Parameter File, set up with many back transmission lines of tower model.
3, set with many back transmission lines of tower model end three-phase shortcircuit, simulation calculation obtains line end short-circuit current value, in application PSCAD/EMTDC, FFT module is carried out symmetrical components conversion to gained end short circuit current, obtains positive and negative, the zero-sequence component of end short circuit current; Set circuit model terminal open circuit, simulation calculation obtains line end opening amperage, and in application PSCAD/EMTDC, FFT module is carried out symmetrical components conversion to gained terminal open circuit electric current, obtains positive and negative, the zero-sequence component of terminal open circuit electric current.
4, the end short circuit current based on obtaining and terminal open circuit current sequence components, calculates same many back transmission lines of tower electromagnetic unbalance degree and unbalance static degree. It is characterized by, transmission line of electricity three-phase imbalance, is divided into electromagnetic unbalance and unbalance static by character, embodies respectively series inductance imbalance and capacitive unbalance to earth; Divide again through-type imbalance and circulation pattern imbalance by the mode producing, embody respectively every time three-phase imbalance and return and time between imbalance.
According to the different uneven physical significances that characterize, the expression formula of computing electric power line electromagnetic unbalance degree and unbalance static degree is as follows:
ThemLoop line road electromagnetism passes through type degree of unbalancednessM tm WithmHui YunElectromagnetism circulation pattern degree of unbalancedness between returningM cmn Be respectively:
The maximum that the electromagnetism of getting each loop line road passes through electromagnetism circulation pattern degree of unbalancedness between type degree of unbalancedness and each time characterizes the electromagnetism through unbalance degree with the many back transmission lines of towerM t With electromagnetism circulation degree of unbalancednessM c 。
In above formula,BemLoop end short circuit forward-order current,BemLoop end short circuit negative-sequence current,BenLoop end short circuit forward-order current,BenLoop end short circuit negative-sequence current,BeiCircuit electromagnetic through unbalance degree,Bei-1 loop andiElectromagnetism circulation degree of unbalancedness between loop,iFor total loop number, value is 2,4 or 6.
ThemLoop line road static passes through type degree of unbalancednessD tm WithmHui YunElectrostatic ring flow pattern degree of unbalancedness between returningD cmn Be respectively:
The maximum that the static of getting each loop line road passes through electrostatic ring flow pattern degree of unbalancedness between type degree of unbalancedness and each time characterizes the static through unbalance degree with the many back transmission lines of towerD t With static circulation degree of unbalancednessD c 。
In above formula,BemLoop terminal open circuit forward-order current,BemLoop terminal open circuit negative-sequence current,BenLoop terminal open circuit forward-order current,BenLoop terminal open circuit negative-sequence current,BeiLoop static through unbalance degree,Bei-1 loop andiStatic circulation degree of unbalancedness between loop,iFor total loop number, value is 2,4 or 6.
Claims (5)
1. with computational methods for many back transmission lines of tower degree of unbalancedness, it is characterized in that, specifically comprise following stepRapid:
1), according to transmission line wire model, wire divisional mode, shaft tower type and lightning conducter connected mode, calculateThe impedance matrix and the admittance matrix that go out to eliminate lightning conducter impact, specifically comprise the steps;
A: according to Carson's formula, calculate mutual impedance and mutual conductance between every time every phase circuit self-impedance and self-admittance, every phaseReceive, obtain initial impedance matrix and the admittance matrix of the many back transmission lines of same tower;
B: when ground wire grounding connects, by initial impedance matrix and admittance matrix are carried out to matrix reduction conversion,To impedance matrix and the admittance matrix of eliminating lightning conducter impact;
2) under PSCAD/EMTDC environment, based on step 1) result of calculation, select electric parameter, set up withMany back transmission lines of tower model;
3) set respectively the short circuit of transmission line of electricity end and open circuit, calculate respectively line end short-circuit current value and endEnd opening amperage, application symmetrical component method, conversion obtain end short circuit current and open-circuit current positive and negative,Zero-sequence component;
4) the end short circuit current based on obtaining and terminal open circuit current sequence components, calculates the many back transmission lines of same towerElectromagnetic unbalance degree and unbalance static degree.
2. according to claim 1 with the computational methods of many back transmission lines of tower degree of unbalancedness, it is characterized in that,Described step 2) specifically comprise the steps:
First, based on step 1) the circuit initial impedance matrix and the admittance matrix that calculate, create line impedance squareBattle array and admittance matrix Parameter File (.txt);
Then, under PSCAD/EMTDC environment, select the corresponding power supply of circuit, electric pressure and capacity of short circuit, choosingSelect corresponding transformer, overhead transmission line and determine corresponding electric parameter, in overhead power transmission line attribute, selectingManually incoming line impedance and admittance parameter; Finally, set up with many back transmission lines of tower model.
3. according to claim 1 with the computational methods of many back transmission lines of tower degree of unbalancedness, it is characterized in that,Described step 3) specifically comprise:
Set transmission line of electricity end three-phase shortcircuit, by simulation calculation, obtain the three-phase shortcircuit under end short circuit conditionCurrent value, application symmetrical component method converts short circuit current, obtains short circuit current order component; Set defeatedElectric line end three-phase open circuit, by simulation calculation, obtains the three-phase opening amperage under terminal open circuit condition,Application symmetrical component method open-circuit electric current converts, and obtains open-circuit current order component.
4. according to claim 1 with the computational methods of many back transmission lines of tower degree of unbalancedness, it is characterized in that,Described step 4) in calculate with many back transmission lines of tower electromagnetic unbalance degree:
Getting the maximum of electromagnetism circulation degree of unbalancedness between the electromagnetism through unbalance degree on each loop line road and each loop line road comesCharacterize the electromagnetism through unbalance degree M with the many back transmission lines of towertWith electromagnetism circulation degree of unbalancedness Mc，
If m loop line road electromagnetism through unbalance degree MtmAnd electromagnetism circulation between m loop line Lu Yu n loop line roadDegree of unbalancedness McmnBe respectively:
With the electromagnetism through unbalance degree M of the many back transmission lines of towertWith electromagnetism circulation degree of unbalancedness McFor:
Wherein Idm1Be m loop end short circuit forward-order current, Idm2Be m loop end short circuit negative-sequence current, Idn1ForN loop end short circuit forward-order current, Idn2Be n loop end short circuit negative-sequence current, MtiIt is i loopElectromagnetism through unbalance degree, Mc(i-1)iBe the electromagnetism circulation degree of unbalancedness between i-1 loop and i loop, iFor total loop number.
5. according to claim 1 with the computational methods of many back transmission lines of tower degree of unbalancedness, it is characterized in that,Described step 4) calculate with many back transmission lines of tower unbalance static degree:
Getting the maximum of static circulation degree of unbalancedness between the static through unbalance degree on each loop line road and each loop line road comesCharacterize the static through unbalance degree D with the many back transmission lines of towertWith static circulation degree of unbalancedness Dc，
If m loop line road static through unbalance degree DtmAnd static circulation between m loop line Lu Yu n loop line roadDegree of unbalancedness DcmnBe respectively:
With the static through unbalance degree D of the many back transmission lines of towertWith static circulation degree of unbalancedness DcFor:
Wherein Iom1Be m loop terminal open circuit forward-order current, Iom2Be m loop terminal open circuit negative-sequence current, Ion1ForN loop terminal open circuit forward-order current, Ion2Be n loop terminal open circuit negative-sequence current, DtiIt is i loopStatic through unbalance degree, Dc(i-1)iBe the static circulation degree of unbalancedness between i-1 loop and i loop, iFor total loop number, value is 2,4 or 6.
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| CN103795075B (en) * | 2014-01-18 | 2015-09-09 | 国家电网公司 | Transmission line three-phase current unbalance Traverse phase-order arrangement adjusting method in transformer station |
| CN103926476B (en) * | 2014-04-10 | 2016-10-05 | 宁波恒力达科技有限公司 | Three-phase imbalance detection method based on FFT and symmetrical component method and inverter |
| CN104135019B (en) * | 2014-08-06 | 2016-03-30 | 上海电力学院 | A kind of multiple-loop line transmission line three-phase imbalance suppressing method |
| CN104281784A (en) * | 2014-10-27 | 2015-01-14 | 武汉大学 | BLT equation-based method for computing unbalancedness of parallel multi-circuit power transmission lines |
| CN106026091A (en) * | 2016-07-20 | 2016-10-12 | 国网江西省电力科学研究院 | Simulation model apparatus for evaluating three-phase current imbalance degree of double circuit transmission lines on same tower |
| CN109659851B (en) * | 2018-12-27 | 2021-04-23 | 中国电力科学研究院有限公司 | 750kV same-tower four-circuit transmission line linear tower type and phase sequence selection method and device thereof |
| CN109991481B (en) * | 2019-03-14 | 2021-06-08 | 南京工程学院 | Three-phase unbalance measurement method based on sequence components and measurement values |
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