CN102570470B - Transient stability-based generator phase advancing depth determination method - Google Patents

Transient stability-based generator phase advancing depth determination method Download PDF

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CN102570470B
CN102570470B CN2012100331698A CN201210033169A CN102570470B CN 102570470 B CN102570470 B CN 102570470B CN 2012100331698 A CN2012100331698 A CN 2012100331698A CN 201210033169 A CN201210033169 A CN 201210033169A CN 102570470 B CN102570470 B CN 102570470B
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蒋宇
胡鹤轩
张晔
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Hohai University HHU
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Abstract

The invention discloses a transient stability-based generator phase advancing depth determination method, and belongs to a calculation method for maximum phase advancing depth under the condition of transient stability of a turbine generator. The method comprises the following steps of: during a transient process of the turbine generator, calculating an accelerating area and a slow-down area swept by a rotor power angle through integration by using a difference value between mechanical power and electromagnetic power of the generator; and finally determining the limit phase advancing depth of the generator under the condition of transient stability by using the property that the accelerating area is equal to the slow-down area. According to the transient stability-based generator phase advancing depth determination method, the conventional phase advancing depth determination method which is conservative can be changed, and the phase advancing depth of the turbine generator can be increased on the premise of not influencing the safety, so that more reactive power compensation capacity is economically achieved.

Description

Generator based on transient stability advances the phase depth determination method
technical field
The present invention relates to a kind of generator based on transient stability and advance the phase depth determination method, belong under the turbo generator transient stability the maximum computational methods of advancing the phase degree of depth.
background technology
The leading phase operation mode of generator, be to affect the quality of power supply because system voltage is too high, and a kind of reactive voltage control method of taking.Adopt into the purpose of phase technology, under the prerequisite that does not increase huge investment, by a large amount of absorption system reactive powers of generator, thereby reach the effect that reduces system voltage, " meaning of Leading Reactive Operation in China and the problem of existence " (Chen Qun, etc. large motor technology .2000 (2): 14-18) etc. a series of documents have been done discussion to this.In addition, " Jiangsu Power Grid tracking electricity power enterprise evaluation method " the 31 regulation " by the unit of Under-excitation Operation Test, can need leading phase operation by electrical network, reward 10,000 yuan at every turn.", after " No. 113, Jiangsu Power Grid tracking generating set auxiliary management implementing method (the electric prison valency (2011) of reviving) " the 15 regulation generating set leading phase operation, " compensate during according to 15 yuan/megavar.", so Generation in Leading Phase Operation can produce huge direct economic benefit to power plant.From " Finite Element Analysis on Operation Mode under Leading Power Factor of Large Turbogenerator " (all fish hawks, Hu Minqiang. the journal .1995 of Southeast China University, the 83-90 page) etc. 25 (4): the achievement in research of a series of documents can be found out, determine the size (maximum is advanced the phase degree of depth) of the capability of the leading phase of generator in engineering, the main limits value of considering steady stability limits value, Generator end heating in winding limits value and the generator unit stator winding overcurrent of generator's power and angle, lack the restrictive condition of taking into account Generator Transient Stability (generating prow pendulum is stable).Because electric power system is a dynamical system that constantly has disturbance to occur, therefore when definite generator maximum is advanced the phase degree of depth, the Transient Stability Constraints condition of considering generator is necessary, and this " power system security guide rule (DL/T 755-2001) " the 4th chapter and appendix A 2.2, A3 money have been done to regulation and explanation.
summary of the invention
The present invention proposes a kind of generator based on transient stability (generating prow pendulum is stable) and advance the phase depth determination method, made up and existing take the generator static state generator that unstability, single transient stability extreme value are not restrictive condition and advance the phase depth determination method, perfect generator maximum is advanced the computational methods system of the phase degree of depth, not only can, for power grid enterprises save huge reactive apparatus capital fund, can also bring enormous profits for electricity power enterprise.
The present invention adopts following technical scheme for solving its technical problem:
A kind of generator based on transient stability advances the phase depth determination method, by the first pendulum stability of analyzing generator's power and angle under disturbance, determines that generator advances the degree of depth limit value of phase, comprises the steps:
1) according under the Generation in Leading Phase Operation operating mode, disturbed rear generator amature electromagnetism-mechanical output is the physical process of balance again, sets up Mathematical Modeling and is
Figure 232529DEST_PATH_IMAGE001
formula 3
According to the relation between described each physical quantity of formula 3 and default generator's power and angle steady stability limit value
Figure 783596DEST_PATH_IMAGE002
(known quantity), under the constraints that the acceleration area equates with retardation area after the generator amature disturbance, utilize numerical computation method, as Newton interpolating method, Lagrange's interpolation, Hermite interpolation method, piecewise low-order interpolation method, spline method, solve the maximum work angle allowed under the front Generation in Leading Phase Operation state of disturbance
Figure 786187DEST_PATH_IMAGE003
;
2) according to turbo generator leading phase operation vector constraints:
Figure 870424DEST_PATH_IMAGE004
formula 1
And the maximum work angle allowed under the Generation in Leading Phase Operation state that solves of step 1)
Figure 97006DEST_PATH_IMAGE003
, solve and draw the system impedance angle
Figure 338632DEST_PATH_IMAGE005
;
3) advance phase degree of depth expression formula according to turbo generator:
formula 2
And step 2) the system impedance angle solved
Figure 381860DEST_PATH_IMAGE005
, calculate the maximum of describing under Generator Transient Stability and advance phase degree of depth Q;
Wherein:
Figure 982606DEST_PATH_IMAGE007
the no-load electromotive force of generator,
Figure 9730DEST_PATH_IMAGE008
infinite bus system voltage,
Figure 478757DEST_PATH_IMAGE009
for the generator unit stator electric current,
Figure 39051DEST_PATH_IMAGE010
the synchronous reactance of generator, generator operation merit angle,
Figure 384506DEST_PATH_IMAGE005
it is the system impedance angle; T is the mechanical output of prime mover, the reactive power that the Q generator sends, and maximum is advanced the phase degree of depth;
Figure 267011DEST_PATH_IMAGE012
the maximum electromagnetic power of generator before disturbance occurs,
Figure 681812DEST_PATH_IMAGE013
the maximum electromagnetic power of generator after the disturbance excision,
Figure 421098DEST_PATH_IMAGE003
the maximum work angle allowed under the Generation in Leading Phase Operation state,
Figure 485131DEST_PATH_IMAGE014
the balance merit angle after generator disturbance excision,
Figure 233644DEST_PATH_IMAGE015
the maximum work angle of arranging after the generator disturbance,
Figure 63804DEST_PATH_IMAGE002
default generator's power and angle steady stability limit value,
Figure 239570DEST_PATH_IMAGE016
the interconnection reactance before disturbance, it is the interconnection reactance after the disturbance excision.
Beneficial effect of the present invention is as follows:
The present invention has made up existing only with generator static state not unstability, single transient stability extreme value, for the generator of restrictive condition advances phase depth determination method system; Perfect generator maximum is advanced the computational methods system of the phase degree of depth, makes turbo generator advance the result of calculation of the phase degree of depth more accurate.The present invention can improve that routine is tending towards guarding advances the phase depth determination method, can be under the prerequisite that does not affect fail safe, and that improves turbo generator advances the phase degree of depth, thus the economic more reactive power compensation capacity of acquisition.
the accompanying drawing explanation
Fig. 1 is the Generation in Leading Phase Operation vectogram.
Fig. 2 is generator operation (advancing phase) state diagram before disturbance.
Fig. 3 is the instantaneous generator vectogram of external disturbance.
Fig. 4 is generating prow pendulum running orbit figure after external disturbance.
Fig. 5 is generating prow pendulum running orbit-acceleration-deceleration area contact figure after external disturbance.
embodiment
Below in conjunction with accompanying drawing, the invention is described in further details.
At first the correlation between each electric parameters of generator after advancing is mutually analyzed, conclusion as shown in Figure 1.Wherein
Figure 688951DEST_PATH_IMAGE007
for the generator no-load electromotive force,
Figure 835899DEST_PATH_IMAGE008
for generator terminal voltage,
Figure 926214DEST_PATH_IMAGE009
for the generator unit stator electric current,
Figure 170114DEST_PATH_IMAGE020
for total reactance,
Figure 625366DEST_PATH_IMAGE011
generator operation merit angle, for the system impedance angle.By the three equal dot products in limit by vector triangle in Fig. 1
Figure 714468DEST_PATH_IMAGE021
, obtain
Figure 750558DEST_PATH_IMAGE022
=
Figure 439028DEST_PATH_IMAGE023
=
Figure 622885DEST_PATH_IMAGE024
, characterize electromagnetic power;
Figure 992686DEST_PATH_IMAGE025
= =
Figure 572014DEST_PATH_IMAGE027
, characterizing gains merit absorbable maximum reactive capability while being zero.
Next sets up the state model under the Generation in Leading Phase Operation steady working condition, and conclusion as shown in Figure 2.A wherein 0point represents the nominal operation state point of generator, A 1the initialization state point that point is generator after leading phase operation, the mechanical output that T is prime mover, P 1for the active power of generator output,
Figure 243167DEST_PATH_IMAGE011
=90 ° of steady state stability limit values that are generator operation,
Figure 151080DEST_PATH_IMAGE002
it is default generator's power and angle steady stability limit value.
Again set up disturbed instantaneous electric parameters variation model after Generation in Leading Phase Operation, conclusion as shown in Figure 3.Wherein the A2 point is the duty point of the rear generator of disturbance generation.
Again set up the head under disturbance after Generation in Leading Phase Operation and put process model, conclusion as shown in Figure 4.Wherein, the A2 point is the initial launch point of generator after disturbance,
Figure 224078DEST_PATH_IMAGE028
for corresponding system impedance angle,
Figure 192034DEST_PATH_IMAGE029
for corresponding generator's power and angle; The A3 point is the new balance movement point of exterior mechanical power after disturbance and electromagnetic power,
Figure 350483DEST_PATH_IMAGE030
,
Figure 622939DEST_PATH_IMAGE031
for corresponding ,Gong angle, system impedance angle; The A4 point is the operating point of generator amature angle maximum under effect of inertia after disturbance,
Figure 816023DEST_PATH_IMAGE032
,
Figure 954881DEST_PATH_IMAGE033
for corresponding ,Gong angle, system impedance angle.
Finally set up according to above-mentioned each submodel, the generating prow pendulum running orbit-acceleration-deceleration Area Model under the disturbance comprehensively obtained, as shown in Figure 5.C wherein 1, C 2, C 3, C 4the point in power integral coordinate system (left side) with P-Q coordinate system (right side) in A 1, A 2, A 3, A 4point is corresponding respectively.
According under the Generation in Leading Phase Operation operating mode shown in Fig. 5, disturbed rear generator amature electromagnetism-mechanical output is the physical process model of balance again, sets up Mathematical Modeling and is
formula 3
According to described each known physical amount of formula 3 (
Figure 912658DEST_PATH_IMAGE007
,
Figure 897932DEST_PATH_IMAGE008
,
Figure 771472DEST_PATH_IMAGE034
, ,
Figure 692341DEST_PATH_IMAGE035
, T) between relation, and known generator's power and angle steady stability pre-set limit
Figure 594438DEST_PATH_IMAGE002
under the constraints that the acceleration area equates with retardation area after the generator amature disturbance, utilize numerical computation method (as Newton interpolating method, Lagrange's interpolation, Hermite interpolation method, piecewise low-order interpolation method, spline method) to solve the maximum work angle allowed under the Generation in Leading Phase Operation state
Figure 137414DEST_PATH_IMAGE003
.
According to
Figure 256287DEST_PATH_IMAGE036
formula 1
And the maximum work angle allowed under the Generation in Leading Phase Operation state solved
Figure 910122DEST_PATH_IMAGE003
, solve and draw the system impedance angle
Figure 932305DEST_PATH_IMAGE005
.
According to formula 2
And system impedance angle
Figure 989702DEST_PATH_IMAGE005
, calculate and describe the reactive power Q that the generator maximum is advanced the phase degree of depth.
Wherein:
Figure 447228DEST_PATH_IMAGE007
the no-load electromotive force of generator,
Figure 323917DEST_PATH_IMAGE008
infinite bus system voltage,
Figure 208696DEST_PATH_IMAGE009
for the generator unit stator electric current,
Figure 60019DEST_PATH_IMAGE010
the synchronous reactance of generator,
Figure 321236DEST_PATH_IMAGE011
generator operation merit angle,
Figure 990115DEST_PATH_IMAGE005
it is the system impedance angle; T is the mechanical output of prime mover, the reactive power that the Q generator sends, and maximum is advanced the phase degree of depth;
Figure 45796DEST_PATH_IMAGE012
the maximum electromagnetic power of generator before disturbance occurs,
Figure 862442DEST_PATH_IMAGE013
the maximum electromagnetic power of generator after the disturbance excision, the maximum work angle allowed under the Generation in Leading Phase Operation state,
Figure 76834DEST_PATH_IMAGE014
the balance merit angle after generator disturbance excision,
Figure 303416DEST_PATH_IMAGE015
the maximum work angle of arranging after the generator disturbance,
Figure 105893DEST_PATH_IMAGE002
default generator's power and angle steady stability limit value,
Figure 708913DEST_PATH_IMAGE016
the interconnection reactance before disturbance,
Figure 149121DEST_PATH_IMAGE017
it is the interconnection reactance after the disturbance excision.

Claims (1)

1. the generator based on transient stability advances the phase depth determination method, it is characterized in that the first pendulum stability by analyzing generator's power and angle under disturbance determines that generator advances the degree of depth limit value of phase, comprises the steps:
1) according under the Generation in Leading Phase Operation operating mode, disturbed rear generator amature electromagnetism-mechanical output is the physical process of balance again, sets up Mathematical Modeling and is
Figure 516074DEST_PATH_IMAGE001
formula 3
According to the relation between described each physical quantity of formula 3 and default generator's power and angle steady stability limit value , under the constraints that the acceleration area equates with retardation area after the generator amature disturbance, utilize numerical computation method, solve the maximum work angle allowed under the Generation in Leading Phase Operation state ;
2) according to turbo generator leading phase operation vector constraints:
Figure 673757DEST_PATH_IMAGE004
formula 1
And the maximum work angle allowed under the Generation in Leading Phase Operation state that solves of step 1)
Figure 981242DEST_PATH_IMAGE003
, solve and draw the system impedance angle
Figure 75100DEST_PATH_IMAGE005
;
3) advance phase degree of depth expression formula according to turbo generator:
Figure 308373DEST_PATH_IMAGE006
formula 2
And step 2) the system impedance angle solved
Figure 917209DEST_PATH_IMAGE005
, calculate the maximum of describing under Generator Transient Stability and advance phase degree of depth Q;
Wherein:
Figure 762805DEST_PATH_IMAGE007
the no-load electromotive force of generator,
Figure 711169DEST_PATH_IMAGE008
infinite bus system voltage,
Figure 616809DEST_PATH_IMAGE009
for the generator unit stator electric current,
Figure 149159DEST_PATH_IMAGE010
the synchronous reactance of generator,
Figure 860763DEST_PATH_IMAGE011
generator operation merit angle, it is the system impedance angle; T is the mechanical output of prime mover, the reactive power that the Q generator sends, and maximum is advanced the phase degree of depth; the maximum electromagnetic power of generator before disturbance occurs,
Figure 261285DEST_PATH_IMAGE013
the maximum electromagnetic power of generator after the disturbance excision,
Figure 212799DEST_PATH_IMAGE003
the maximum work angle allowed under the Generation in Leading Phase Operation state,
Figure 198072DEST_PATH_IMAGE014
the balance merit angle after generator disturbance excision,
Figure 445514DEST_PATH_IMAGE015
the maximum work angle of arranging after the generator disturbance,
Figure 188342DEST_PATH_IMAGE002
default generator's power and angle steady stability limit value,
Figure 179432DEST_PATH_IMAGE016
the interconnection reactance before disturbance,
Figure 455430DEST_PATH_IMAGE017
it is the interconnection reactance after the disturbance excision.
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