CN104701816B - The low fiting tuning method and device for encouraging limitation and field loss protection of salient-pole machine - Google Patents

The low fiting tuning method and device for encouraging limitation and field loss protection of salient-pole machine Download PDF

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CN104701816B
CN104701816B CN201510124936.XA CN201510124936A CN104701816B CN 104701816 B CN104701816 B CN 104701816B CN 201510124936 A CN201510124936 A CN 201510124936A CN 104701816 B CN104701816 B CN 104701816B
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msup
mrow
low
salient
curve
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CN104701816A (en
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鹿伟
武朝强
王丰
王增平
郑涛
王晶晶
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State Grid Corp of China SGCC
North China Electric Power Research Institute Co Ltd
China Electric Power Research Institute Co Ltd CEPRI
North China Electric Power University
Electric Power Research Institute of State Grid Jibei Electric Power Co Ltd
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State Grid Corp of China SGCC
North China Electric Power Research Institute Co Ltd
China Electric Power Research Institute Co Ltd CEPRI
North China Electric Power University
Electric Power Research Institute of State Grid Jibei Electric Power Co Ltd
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Abstract

The invention provides a kind of low fiting tuning method and device for encouraging limitation and field loss protection of salient-pole machine, and to ensure the low reasonable cooperation for encouraging limitation and field loss protection of salient-pole machine, this method includes:Low restrictive curve of encouraging is transformed into impedance plane by power planes, the low restrictive curve of encouraging for transforming to impedance plane is contrasted with salient-pole machine steady state stability limit curve in R axle positive axis region;When R axle positive axis low encourages the non-envelope steady state stability limit curve of restrictive curve, encourage restrictive curve to low and adjusted again.Technical solution of the present invention ensure that the low reasonable cooperation for encouraging limitation and field loss protection of salient-pole machine; be advantageous to provide technical basis for power scheduling production management, give full play to generator control and defencive function, it is horizontal to improve net source coordination; energy security Effec-tive Function is realized, ensures that electric power safety economy is sent out.

Description

The low fiting tuning method and device for encouraging limitation and field loss protection of salient-pole machine
Technical field
The present invention relates to technical field of generators, more particularly to a kind of salient-pole machine is low, and to encourage limitation whole with the cooperation of field loss protection Determine method and device.
Background technology
Motor loss of excitation refers to that generator suddenly partly or entirely loses excitation, is the common event of generator excitation circuit Barrier.Particularly with Generator Set, excitation system link is more, complicated, adds the probability that loss of excitation failure occurs, system Count and show, loss of excitation failure accounts for more than the 60% of generator total failare.After loss of exicitation, asynchronous operation is will transition to, is turned There is slip, stator current increase in son, and stator voltage declines, and active power declines, and reactive power is reverse and increases;In rotor Occurs difference frequency electric current in loop;The voltage of power system declines and some power branch overcurrent.The change of all these electrical quantity Change, all with a certain degree of swing, the stable operation of power system can be destroyed, and threaten the safety of generator in itself.Therefore, Detect loss of excitation failure and take counter-measure to be very important to the safe and stable operation of power system in time.
At present, generator loss-of-excitation protection scheme is real on impedance plane mainly using stator loop parameter feature as main criterion It is existing, locus of impedance is measured with generator terminal to reflect loss of excitation failure.Loss of excitation failure is detected on impedance plane mainly two kinds of criterions, quiet steady Margin impedance circle criterion and asynchronous boundary impedance circle criterion.Enter when generator terminal measures locus of impedance in steady state stability limit impedance circle, Field loss protection may be acted or transmitted.
In addition, with generator loss-of-excitation protection coordinate generator it is low encourage limitation it is also particularly important.Generator is low, which to encourage limitation, is Refer to when exciting current drops to a certain limit value, limitation exciting current declines or increase exciting current, is running unit When not across steady state stability limit.The low limitation equation of encouraging of generator is generally divided into linear pattern or round.
More importantly generator loss-of-excitation protection and the low reasonable cooperation for encouraging limitation, according to power industry Specification Therebetween the requirement of fiting tuning:Generator is low encourage with loss of excitation when, it is low to encourage limitation and act first, if low encourage limitation nothing Effect, then by certain transition allowance, quiet steady circle just acts, in certain sense, can by it is quiet it is steady it is round regard as low encourage limitation Back-up protection.Low to encourage the protection that limitation is excitation system, low restrictive curve of encouraging describes in P-Q planes, generator loss-of-excitation protection Impedance operation equation describes in R-X impedance planes, because the two is studied in different coordinate systems respectively, it is difficult to intuitively to the two Matching relationship analysis is carried out, is happened occasionally with the reasonable situation for causing field loss protection malfunction.Therefore, it is necessary to salient-pole machine It is low to encourage limitation and the further research of field loss protection work, seek rational cooperation method therebetween, instruct the whole of the two It is fixed to coordinate calculating.
Existing literature once discussed it is too low encourage limitation field loss protection between matching problem, but study cooperation be according to Being carried out on the premise of non-salient pole machine steady state stability limit is circular, Fig. 1 is that non-salient pole machine static stability boundary encourages limitation fiting relation figure with low, As shown in figure 1,1 is quiet steady circle, 2 be asynchronous circle, and 3 encourage limitation circle to be low.Prior art research is that non-salient pole machine is encouraged limitation and lost The method of the fiting tuning of magnetic protection, specific step are as follows:
1) generator and system impedance perunit value on the basis of generator base impedance, are calculated, is calculated in P-Q planes The perunit value of the quiet steady circle coordinates of generator and radius on the basis of generator apparent energy.
2) 10%~20% static stability reserve coefficient, 5%~10% parameter error and certain reliable system, is considered Count, i.e., the quiet steady circle of nargin is obtained after quiet steady circle coordinates and the perunit value of radius divided by 1.2~1.5.
3), calculating has the quiet steady circle and negative Q axles and positive P axles (P of nargin<During Pn) or P=Pn straight lines (P>During Pn) it is intersecting Coordinate determines low 2 points for encouraging restraining line, other points Ying Yuan top.
4) field loss protection impedance circle, is adjusted, field loss protection impedance circle is mapped to P-Q planes, or restrictive curve is encouraged by low R-X planes are mapped to, respectively when set end voltage is specified and minimum permission voltage, according to matching principle check and field loss protection The matching relationship of impedance circle.
As can be seen here, although existing literature once discussed the too low matching problem encouraged between limitation and field loss protection, Typically just specific experiment is analyzed, lacks general method, and research concentrate on non-salient pole machine field loss protection with it is low The relation of limitation is encouraged, it is this particularity of drop-wise curve not consider salient-pole machine steady state stability limit curve.
The content of the invention
The invention provides a kind of low fiting tuning method for encouraging limitation and field loss protection of salient-pole machine, to ensure salient-pole machine The low reasonable cooperation for encouraging limitation and field loss protection, this method include:
Low restrictive curve of encouraging is transformed into impedance plane by power planes, the low of impedance plane will be transformed to and encourage restrictive curve Contrasted with salient-pole machine steady state stability limit curve in R axle positive axis region;
When R axle positive axis low encourages the non-envelope steady state stability limit curve of restrictive curve, low restrictive curve of encouraging is carried out again Adjust.
In one embodiment, when it is low to encourage restrictive curve be linear pattern when, take U=0.9pu and U=1.0pu respectively, according to Low restrictive curve of encouraging is transformed to impedance plane by equation below by power planes:
Wherein, R is the resistance of salient-pole machine generator terminal, and X is the reactance of salient-pole machine generator terminal;U is the voltage of salient-pole machine generator terminal;A and b For constant;K is slope.
In one embodiment, when it is low encourage restrictive curve for it is round when, according to equation below by low restrictive curve of encouraging by work( Rate plane transformation is to impedance plane:
Wherein, R is the resistance of salient-pole machine generator terminal, and X is the reactance of salient-pole machine generator terminal;A and b is constant.
Present invention also offers a kind of low fiting tuning device for encouraging limitation and field loss protection of salient-pole machine, to ensure salient pole The low reasonable cooperation for encouraging limitation and field loss protection of machine, the device include:
It is low to encourage restrictive curve modular converter, for low restrictive curve of encouraging to be transformed into impedance plane by power planes, will become The low restrictive curve of encouraging for changing to impedance plane is contrasted with salient-pole machine steady state stability limit curve in R axle positive axis region;
Low restrictive curve of encouraging adjusts module again, for encouraging the non-envelope steady state stability limit of restrictive curve when the low of R axle positive axis During curve, encourage restrictive curve to low and adjusted again.
In one embodiment, the low restrictive curve modular converter of encouraging is specifically used for that low ought to encourage restrictive curve be linear pattern When, take U=0.9pu and U=1.0pu respectively, according to equation below by it is low encourage restrictive curve and transform to impedance by power planes put down Face:
Wherein, R is the resistance of salient-pole machine generator terminal, and X is the reactance of salient-pole machine generator terminal;U is the voltage of salient-pole machine generator terminal;A and b For constant;K is slope.
In one embodiment, the low restrictive curve modular converter of encouraging is specifically used for low encouraging restrictive curve to be round When, low restrictive curve of encouraging is transformed into impedance plane by power planes according to equation below:
Wherein, R is the resistance of salient-pole machine generator terminal, and X is the reactance of salient-pole machine generator terminal;A and b is constant.
Technical solution of the present invention, by the way that the extremely low restrictive curve of encouraging of salient pole is transformed into impedance plane by power planes, same Under one coordinate system, compared with steady state stability limit curve, to instruct the fiting tuning of the two to calculate, when low the encouraging of R axle positive axis During restrictive curve envelope steady state stability limit curve, it was demonstrated that meet that low encourage is limited prior to field loss protection action, matching relationship is correct, no Then, it was demonstrated that matching relationship mistake, encourage restrictive curve to low and adjusted again.Above-mentioned technical proposal ensure that salient-pole machine is low and encourage limit System and the reasonable cooperation of field loss protection, solve salient-pole machine steady state stability limit curve and can not transform to power for a drop-wise curve and put down Face, and then lead to not carry out field loss protection and low the problem of encouraging limitation fiting tuning calculating, be advantageous to produce for power scheduling Management provides technical basis, gives full play to generator control and defencive function, improves net source coordination level, realizes energy security height Effect operation, ensure that electric power safety economy is sent out.
Brief description of the drawings
Accompanying drawing described herein is used for providing a further understanding of the present invention, forms the part of the application, not Form limitation of the invention.In the accompanying drawings:
Fig. 1 is that the non-salient pole machine steady state stability limit curve in background of invention encourages restrictive curve fiting relation figure with low;
Fig. 2 is the low fiting tuning method flow schematic diagram for encouraging limitation and field loss protection of salient-pole machine in the embodiment of the present invention;
Fig. 3 is low in the embodiment of the present invention to encourage restrictive curve and salient-pole machine drop-wise steady state stability limit curve fitting graph of a relation;
Fig. 4 is that low restrictive curve of encouraging justifies steady state stability limit curve fitting graph of a relation with salient-pole machine apple in the embodiment of the present invention;
Fig. 5 is the low fiting tuning apparatus structure schematic diagram for encouraging limitation and field loss protection of salient-pole machine in the embodiment of the present invention.
Embodiment
It is right with reference to embodiment and accompanying drawing for the object, technical solutions and advantages of the present invention are more clearly understood The present invention is described in further details.Here, the exemplary embodiment of the present invention and its illustrate to be used to explain the present invention, but simultaneously It is not as a limitation of the invention.
Low to encourage the protection that limitation is excitation system, low restrictive curve of encouraging describes in P-Q planes.However, loss of exicitation is protected Impedance operation equation is protected to describe in R-X impedance planes.Restrictive curve and field loss protection impedance operation equation curve point are encouraged due to low Do not studied in different coordinate systems, it is difficult to intuitively cause field loss protection with reasonable to the two progress matching relationship analysis The situation of malfunction happens occasionally.In addition, though have document that the too low matching problem encouraged between limitation and field loss protection was once discussed, But typically just specific experiment is analyzed, lack general method, and research concentrates on non-salient pole machine field loss protection With the low relation for encouraging limitation, it is this particularity of drop-wise curve not consider salient-pole machine steady state stability limit.
In view of above-mentioned technical problem, inventor encourages fiting tuning calculating between limitation and field loss protection for salient-pole machine is low Existing deficiency, propose low restrictive curve of encouraging transforming to impedance plane by power planes first, it is low to disclose a kind of salient-pole machine The fiting tuning method of limitation and field loss protection is encouraged, salient-pole machine static stability boundary is this method solve and is difficult to convert for a drop-wise curve To power planes, lead to not carry out field loss protection and low the problem of encouraging limitation fiting tuning calculating, have good engineering real Border meaning.It is specifically described below.
Fig. 2 is the low fiting tuning method flow schematic diagram for encouraging limitation and field loss protection of salient-pole machine in the embodiment of the present invention, As shown in Fig. 2 this method comprises the following steps:
Step 10:Low restrictive curve of encouraging is transformed into impedance plane by power planes, the low of impedance plane will be transformed to and encouraged Restrictive curve is contrasted with salient-pole machine steady state stability limit curve in R axle positive axis region;
Step 20:When R axle positive axis low encourages the non-envelope steady state stability limit curve of restrictive curve, low restrictive curve of encouraging is entered Row is adjusted again.
Technical solution of the present invention, by the way that the extremely low restrictive curve of encouraging of salient pole is transformed into impedance plane by power planes, same Under one coordinate system, compared with steady state stability limit curve, to instruct the fiting tuning of the two to calculate, when low the encouraging of R axle positive axis During restrictive curve envelope steady state stability limit curve, it was demonstrated that meet that low encourage is limited prior to field loss protection action, it was demonstrated that matching relationship is correct, Otherwise, it was demonstrated that matching relationship mistake, encourage restrictive curve to low and adjusted again.Above-mentioned technical proposal ensure that salient-pole machine is low and encourage Limitation and the reasonable cooperation of field loss protection, solve salient-pole machine steady state stability limit curve and can not transform to power for a drop-wise curve and put down Face, and then lead to not carry out field loss protection and low the problem of encouraging limitation fiting tuning calculating, be advantageous to produce for power scheduling Management provides technical basis, gives full play to generator control and defencive function, improves net source coordination level, realizes energy security height Effect operation, ensure that electric power safety economy is sent out.
In above-mentioned steps 10, the present invention uses the low of generator to encourage restrictive curve generally-straight type or round, Analyzed respectively for both of these case:
In one embodiment, when it is low to encourage restrictive curve be linear pattern when, take U=0.9pu and U=1.0pu respectively, according to Low restrictive curve of encouraging is transformed to impedance plane by equation below by power planes:
Wherein, R and X is resistance and the reactance of salient-pole machine generator terminal;U is the voltage of salient-pole machine generator terminal;A and b is constant;K is Slope.
When it is implemented, the specific derivation process of above-mentioned formula is as follows:
Generator is low to encourage limitation operation equation and is:
Q<kP+aU2+b; (1)
Gained knowledge according to motor, there is formula:
Formula (2) is substituted into formula (1), can be obtained:
By formula (1), as P=0, Q<aU2+b.Limitation engineering practice is encouraged with reference to low, there is relational expression aU2+b<0.Cause This, formula (3) can be transformed to:
Formula (4) is converted, obtained:
Fig. 3 be it is low in the embodiment of the present invention encourage restrictive curve and salient-pole machine drop-wise steady state stability limit curve fitting graph of a relation, such as Understood with formula (5) shown in Fig. 3, it be a circular curve that linear pattern is low, which to encourage restrictive curve to transform to impedance plane, when generator terminal measurement resistance Anti- track enters in circle, show it is low encourage limitation action, otherwise, be failure to actuate.Therefore, limitation is encouraged prior to field loss protection action according to low Requirement, if the circular curve envelope steady state stability limit curve, it was demonstrated that meet it is low encourage limitation prior to field loss protection act, then coordinate just Really, otherwise, encourage restrictive curve to low and adjusted again, to ensure low to encourage restrictive curve and salient-pole machine drop-wise steady state stability limit curve Coordinate correct.
In addition, locus of impedance changing rule, the low cooperation for encouraging limitation and field loss protection are measured by generator terminal during loss of exicitation Relation only needs to consider the positive axis part of R axles in impedance plane.Specifically, as shown in figure 3,1. low restrictive curve of encouraging wraps 3., such a mated condition shows network salient-pole machine steady state stability limit drop-wise curve, and low restrictive curve of encouraging drips with salient-pole machine steady state stability limit Shape curve fitting relation is correct, i.e., salient-pole machine is low encourages limitation and field loss protection cooperation correctly;It is low to encourage restrictive curve 2. non-envelope is convex Pole machine steady state stability limit drop-wise curve, then prove that low to encourage restrictive curve and salient-pole machine steady state stability limit drop-wise curve fitting relation wrong By mistake, it is necessary to encourage restrictive curve to low and adjusted again, encourage limitation to ensure that salient-pole machine is low and coordinate correctly with field loss protection.
From above-mentioned formula (5), it is related to set end voltage to transform to the low limitation circular curve of encouraging of impedance plane, normally transports Under row operating mode, generator terminal voltage excursion is (0.9pu, 1.0pu), U=0.9pu and U=1.0pu can be taken to paint respectively Make it is low encourage limitation circular curve, ensure under two kinds of operating modes, it is low to encourage restrictive curve and salient-pole machine steady state stability limit drop-wise curve fitting relation It is correct.
In one embodiment, when it is low encourage restrictive curve for it is round when, according to equation below by low restrictive curve of encouraging by work( Rate plane transformation is to impedance plane:
Wherein, R and X is resistance and the reactance of salient-pole machine generator terminal;A and b is constant.
To shift process onto as follows for above-mentioned formula specific:
It is low encourage limitation operation equation be:
P2+(Q+aU2)2>bU4; (6)
According to formula (2), line translation is entered to formula (6) and obtained:
Entering line translation to formula (7) can obtain:
By formula (8), can obtain:
From above-mentioned formula (9), round low restrictive curve of encouraging transforms to the equation curve that impedance plane remains as a circle, Therefore, it can encourage limitation to low at grade and be analyzed with field loss protection.The matching relationship of the two with it is above-mentioned straight Line style is low to encourage restrictive curve and transforms to that impedance plane is similar to steady state stability limit drop-wise curve comparison, and here is omitted.It is round with Linear pattern is low to encourage the difference of limitation equation curve in the parameter a in round equation, and b value is different, may result in and finally pushes away Lead formula, i.e., equation of a circle (9) inequality both sides magnitude relationship changes on impedance plane, but it is low encourage limitation and field loss protection Matching relationship and fiting tuning computational methods it is still constant, therefore, round low restrictive curve of encouraging is converted by power planes Generally it is applicable compared with the method for instructing the fiting tuning of the two to calculate to impedance plane, and with steady state stability limit curve ratio.
In practical engineering application, salient-pole machine field loss protection steady state stability limit curve is reduced to apple circle song by some producers Line, as shown in figure 4, apple circular curve is also irregular curve, it is still relatively difficult to be transformed to power planes.Therefore, together Sample should use proposed by the present invention by the low method encouraged limitation equation and transform to by power planes impedance plane.Now salient-pole machine Low encourage limitation and also embodied in Fig. 4 with the matching relationship of field loss protection, i.e., song is low encourages restraining line 1. envelope salient-pole machine is quiet Steady border apple circular curve is 3., it was demonstrated that low to encourage limitation correct with the matching relationship of field loss protection, low to encourage restrictive curve 2. non-envelope Salient-pole machine static stability boundary apple circular curve is 3., it was demonstrated that the low matching relationship mistake for encouraging limitation and field loss protection.
In summary, no matter low restrictive curve of encouraging is linear pattern or round, and it is a circle to be transformed to impedance plane Curve, the low limitation circular curve of encouraging can be analyzed with steady state stability limit curve in positive axis region, so that it is determined that low It is whether correct with field loss protection matching relationship to encourage limitation.
Based on same inventive concept, a kind of low encourage of salient-pole machine is additionally provided in the embodiment of the present invention and is limited and field loss protection Fiting tuning device, as described in the following examples.The fiting tuning device solution of limitation and field loss protection is encouraged because salient-pole machine is low Certainly the principle of problem and salient-pole machine it is low to encourage limitation similar to the fiting tuning method of field loss protection, therefore salient-pole machine it is low encourage limitation and The implementation of the fiting tuning device of field loss protection may refer to the low fiting tuning method for encouraging limitation and field loss protection of salient-pole machine Implement, repeat part and repeat no more.Used below, term " unit " or " module " can realize the software of predetermined function And/or the combination of hardware.Although device described by following examples is preferably realized with software, hardware, or soft The realization of the combination of part and hardware is also what may and be contemplated.
Fig. 5, which is that salient-pole machine is low in the embodiment of the present invention, encourages limitation and the structural representation of the fiting tuning device of field loss protection Figure, as shown in figure 5, the device includes:
It is low to encourage restrictive curve modular converter 02, will for low restrictive curve of encouraging to be transformed into impedance plane by power planes The low restrictive curve of encouraging for transforming to impedance plane is contrasted with salient-pole machine steady state stability limit curve in R axle positive axis region;
Low restrictive curve of encouraging adjusts module 04 again, for encouraging the quiet steady pole of the non-envelope of restrictive curve when the low of R axle positive axis When limiting curve, encourage restrictive curve to low and adjusted again.
In one embodiment, the low restrictive curve modular converter 02 of encouraging is specifically used for that low ought to encourage restrictive curve be straight line During type, U=0.9pu and U=1.0pu are taken respectively, and low restrictive curve of encouraging is transformed into impedance by power planes according to equation below Plane:
Wherein, R is the resistance of salient-pole machine generator terminal, and X is the reactance of salient-pole machine generator terminal;U is the voltage of salient-pole machine generator terminal;A and b For constant;K is slope.
In one embodiment, the low restrictive curve modular converter 02 of encouraging is specifically used for low encouraging restrictive curve to be round When, low restrictive curve of encouraging is transformed into impedance plane by power planes according to equation below:
Wherein, R is the resistance of salient-pole machine generator terminal, and X is the reactance of salient-pole machine generator terminal;A and b is constant.
Salient-pole machine provided in an embodiment of the present invention is low to encourage limitation and the fiting tuning method of field loss protection and having for device Beneficial technique effect is:Low limitation equation of encouraging is transformed to impedance plane by technical solution of the present invention by power planes, in same coordinate Under system, the method compared with steady state stability limit border, direct the fiting tuning of the two and calculate, and be deduced conversion side Journey, the unreasonable situation for causing field loss protection malfunction of the two fiting tuning is avoided, solve salient-pole machine static stability boundary as a drop Shape curve can not transform to power planes, and then lead to not progress field loss protection and encourage asking for limitation fiting tuning calculating with low Topic, is advantageous to provide technical basis for power scheduling production management, gives full play to generator control and defencive function, improves net source Coordinate level, realize energy security Effec-tive Function, ensure that electric power safety economy is sent out.
Obviously, those skilled in the art should be understood that each module of the above-mentioned embodiment of the present invention or each step can be with Realized with general computing device, they can be concentrated on single computing device, or are distributed in multiple computing devices On the network formed, alternatively, they can be realized with the program code that computing device can perform, it is thus possible to by it Store and performed in the storage device by computing device, and in some cases, can be to be held different from order herein They, are either fabricated to each integrated circuit modules or will be multiple in them by the shown or described step of row respectively Module or step are fabricated to single integrated circuit module to realize.So, the embodiment of the present invention is not restricted to any specific hard Part and software combine.
The preferred embodiments of the present invention are the foregoing is only, are not intended to limit the invention, for the skill of this area For art personnel, the embodiment of the present invention can have various modifications and variations.Within the spirit and principles of the invention, made Any modification, equivalent substitution and improvements etc., should be included in the scope of the protection.

Claims (6)

1. a kind of low fiting tuning method for encouraging limitation and field loss protection of salient-pole machine, it is characterised in that including:
Low restrictive curve of encouraging is transformed into impedance plane by power planes, by transform to impedance plane it is low encourage restrictive curve with it is convex Pole machine steady state stability limit curve is contrasted in R axle positive axis region;
When R axle positive axis low encourages the non-envelope steady state stability limit curve of restrictive curve, encourage restrictive curve to low and adjusted again;
Salient-pole machine steady state stability limit curve is drop-wise curve.
2. the method as described in claim 1, it is characterised in that when it is low to encourage restrictive curve be linear pattern when, take U=respectively 0.9pu and U=1.0pu, low restrictive curve of encouraging is transformed into impedance plane by power planes according to equation below:
<mrow> <msup> <mrow> <mo>(</mo> <mi>R</mi> <mo>+</mo> <mfrac> <mrow> <msup> <mi>kU</mi> <mn>2</mn> </msup> </mrow> <mrow> <mn>2</mn> <mrow> <mo>(</mo> <msup> <mi>aU</mi> <mn>2</mn> </msup> <mo>+</mo> <mi>b</mi> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <mi>X</mi> <mo>-</mo> <mfrac> <msup> <mi>U</mi> <mn>2</mn> </msup> <mrow> <mn>2</mn> <mrow> <mo>(</mo> <msup> <mi>aU</mi> <mn>2</mn> </msup> <mo>+</mo> <mi>b</mi> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>&lt;</mo> <mfrac> <mrow> <mo>(</mo> <msup> <mi>k</mi> <mn>2</mn> </msup> <mo>+</mo> <mn>1</mn> <mo>)</mo> <msup> <mi>U</mi> <mn>4</mn> </msup> </mrow> <mrow> <mn>4</mn> <msup> <mrow> <mo>(</mo> <msup> <mi>aU</mi> <mn>2</mn> </msup> <mo>+</mo> <mi>b</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </mfrac> <mo>;</mo> </mrow>
Wherein, R is the resistance of salient-pole machine generator terminal, and X is the reactance of salient-pole machine generator terminal;U is the voltage of salient-pole machine generator terminal;A and b is normal Amount;K is slope.
3. the method as described in claim 1, it is characterised in that when it is low encourage restrictive curve for it is round when, according to equation below will Low restrictive curve of encouraging transforms to impedance plane by power planes:
<mrow> <msup> <mi>R</mi> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <mi>X</mi> <mo>-</mo> <mfrac> <mi>a</mi> <mrow> <mi>b</mi> <mo>-</mo> <msup> <mi>a</mi> <mn>2</mn> </msup> </mrow> </mfrac> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>&lt;</mo> <mfrac> <mi>b</mi> <msup> <mrow> <mo>(</mo> <mi>b</mi> <mo>-</mo> <msup> <mi>a</mi> <mn>2</mn> </msup> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mfrac> <mo>;</mo> </mrow>
Wherein, R is the resistance of salient-pole machine generator terminal, and X is the reactance of salient-pole machine generator terminal;A and b is constant.
A kind of 4. low fiting tuning device for encouraging limitation and field loss protection of salient-pole machine, it is characterised in that including:
It is low to encourage restrictive curve modular converter, for low restrictive curve of encouraging to be transformed into impedance plane by power planes, will transform to The low restrictive curve of encouraging of impedance plane is contrasted with salient-pole machine steady state stability limit curve in R axle positive axis region;
Low restrictive curve of encouraging adjusts module again, for encouraging the non-envelope steady state stability limit curve of restrictive curve when the low of R axle positive axis When, encourage restrictive curve to low and adjusted again;
Salient-pole machine steady state stability limit curve is drop-wise curve.
5. device as claimed in claim 4, it is characterised in that the low restrictive curve modular converter of encouraging is specifically used for low encouraging When restrictive curve is linear pattern, U=0.9pu and U=1.0pu are taken respectively, according to equation below by low restrictive curve of encouraging by power Plane transformation is to impedance plane:
<mrow> <msup> <mrow> <mo>(</mo> <mi>R</mi> <mo>+</mo> <mfrac> <mrow> <msup> <mi>kU</mi> <mn>2</mn> </msup> </mrow> <mrow> <mn>2</mn> <mrow> <mo>(</mo> <msup> <mi>aU</mi> <mn>2</mn> </msup> <mo>+</mo> <mi>b</mi> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <mi>X</mi> <mo>-</mo> <mfrac> <msup> <mi>U</mi> <mn>2</mn> </msup> <mrow> <mn>2</mn> <mrow> <mo>(</mo> <msup> <mi>aU</mi> <mn>2</mn> </msup> <mo>+</mo> <mi>b</mi> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>&lt;</mo> <mfrac> <mrow> <mo>(</mo> <msup> <mi>k</mi> <mn>2</mn> </msup> <mo>+</mo> <mn>1</mn> <mo>)</mo> <msup> <mi>U</mi> <mn>4</mn> </msup> </mrow> <mrow> <mn>4</mn> <msup> <mrow> <mo>(</mo> <msup> <mi>aU</mi> <mn>2</mn> </msup> <mo>+</mo> <mi>b</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </mfrac> <mo>;</mo> </mrow>
Wherein, R is the resistance of salient-pole machine generator terminal, and X is the reactance of salient-pole machine generator terminal;U is the voltage of salient-pole machine generator terminal;A and b is normal Amount;K is slope.
6. device as claimed in claim 4, it is characterised in that the low restrictive curve modular converter of encouraging is specifically used for low encouraging When restrictive curve is round, low restrictive curve of encouraging is transformed into impedance plane by power planes according to equation below:
<mrow> <msup> <mi>R</mi> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <mi>X</mi> <mo>-</mo> <mfrac> <mi>a</mi> <mrow> <mi>b</mi> <mo>-</mo> <msup> <mi>a</mi> <mn>2</mn> </msup> </mrow> </mfrac> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>&lt;</mo> <mfrac> <mi>b</mi> <msup> <mrow> <mo>(</mo> <mi>b</mi> <mo>-</mo> <msup> <mi>a</mi> <mn>2</mn> </msup> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mfrac> <mo>;</mo> </mrow>
Wherein, R is the resistance of salient-pole machine generator terminal, and X is the reactance of salient-pole machine generator terminal;A and b is constant.
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