CN109783971A - The vector analysis method of the tangential electromagnetic force influence of steam turbine generator excitation winding - Google Patents
The vector analysis method of the tangential electromagnetic force influence of steam turbine generator excitation winding Download PDFInfo
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Abstract
The present invention is the vector analysis method of Damper Winding and slot wedge to the tangential electromagnetic force influence of steam turbine generator excitation winding.Under different damping winding and damping slot wedge type of attachment, the relationship between the tangential electromagnetic force amplitude of steam turbine generator excitation winding is judged；The physical model for establishing Synchronous Radio motor establishes the physical model of nuclear power Half Speed steam turbine generator；The correctness of simulation model is verified by experiment；Using finite element simulation method, different damping winding is calculated to connect under situation with damping slot wedge, the tangential electromagnetic force of steam turbine generator excitation winding determines whether finite element simulation method and the Damper Winding and slot wedge are with uniformity to the tangential electromagnetic force of steam turbine generator excitation winding of the vector analysis method calculating of the tangential electromagnetic force influence of steam turbine generator excitation winding.The present invention solves the reliability of the Mechanical Strength Design of stator and rotor material in steam turbine generator design process, can help through and design the more excellent motor of anti-loading influence of fluctuations stability.
Description
Technical field
The present invention relates to electromagnetic force computing technique fields, are a kind of tangential electromagnetic force influences of steam turbine generator excitation winding
Vector analysis method.
Background technique
When steam turbine generator bringing onto load is run, load generally all cannot keep complete three-phase symmetrical.This asymmetry will
Fundamental negative sequence current is induced on stator winding, and rotor is rotated with synchronous rotational speed, the fundamental wave negative sequence electricity on stator winding
Stream can induce the electric current of 2 times of fundamental frequencies on excitation winding, Damper Winding and damping slot wedge again.And then it will be produced in excitation winding
Raw fundamental wave negative sequence magnetic field, the magnetic field and space positive sequence fundamental wave magnetic field interact, and excitation winding is caused to generate cutting for second harmonic
It to electromagnetic force, is safely operated with having seriously threatened motor therefore, excitation when calculating and studying asymmetric outside steam turbine generator
The tangential electromagnetic force of winding second harmonic has important engineering value and research significance.
Summary of the invention
The present invention is the above problem, provides a kind of public building guidance design method based on the dynamic ken, this
Invention provides following technical scheme:
A kind of vector analysis method of the tangential electromagnetic force influence of steam turbine generator excitation winding, comprising the following steps:
Step 1: the negative phase-sequence equivalent circuit of steam turbine generator is determined；
Step 2: determining the magnetic vector spatial relationship of generator, when spending asymmetric outside steam turbine generator, determines vector sky
Between effect；
Step 3: the relationship of excitation winding tangential electromagnetic force and electromagnetic torque is determined；
Step 4: the expression formula of the tangential electromagnetic force of excitation winding is determined；
Step 5: judging different damping winding and damps the type of attachment of slot wedge, determines that steam turbine generator excitation winding is cut
To the corresponding reactance relationship of electromagnetic force；
Step 6: under different damping winding and damping slot wedge type of attachment, judge that steam turbine generator excitation winding is tangential
Relationship between electromagnetic force amplitude；
Step 7: establishing the simulation model of synchronous generator, and the physical model of Synchronous Radio motor is established according to actual size,
Establish the physical model of nuclear power Half Speed steam turbine generator；
Step 8: the correctness of simulation model is verified by experiment；
Step 9: Damper Winding and damping slot wedge type of attachment are determined；
Step 10: using finite element simulation method, calculates different damping winding and connects under situation with damping slot wedge, steamer hair
The tangential electromagnetic force of motor excitation winding；
Step 11: under the same conditions, determine that finite element simulation method and the steam turbine generator excitation winding are tangentially electric
Whether the tangential electromagnetic force of steam turbine generator excitation winding that the vector analysis method that magnetic force influences calculates is with uniformity.
Preferably, the step 1 specifically:
Step 1: determining the negative phase-sequence equivalent circuit of steam turbine generator, current asymmetry degree α is defined, it is fixed to define by following formula
Adopted current asymmetry degree α:
Wherein, I+And I-Respectively stator fundamental positive sequence and negative-sequence current phasor virtual value；
Step 2: steam turbine generator negative phase-sequence equivalent circuit is determined when not considering the mutual inductance between each winding of rotor, it is described
Steam turbine generator negative phase-sequence equivalent circuit includes armature resistance Ra, armature leakage reactance Xσ, excitation reactance X 'm, excitation resistance Rm, after reduction
Rotor field coil leakage reactance X 'fσ, rotor field coil resistance R ' after reductionf, stator fundamental wave negative sequence voltage U-, excitation winding base
Wave negative-sequence current I2-, revolutional slip s, Damper Winding resistance R ' after reductiond, Damper Winding leakage reactance X ' after reductiondσ, Damper Winding base
Wave negative-sequence current I3-, slot wedge resistance R ' is damped after reductionw, slot wedge leakage reactance X ' is damped after reductionwσ, damping slot wedge fundamental wave negative sequence electricity
Flow I4-；
Step 3: in the absence of damping slot wedge, removing on the basis of steam turbine generator equivalent circuit when Damper Winding exists
I4-Place branch；In the absence of Damper Winding and slot wedge, I is eliminated on the basis of steam turbine generator equivalent circuit3-And I4-
Place branch.
Preferably, the step 4 specifically:
Step 1: being studied using electromagnetic torque the tangential electromagnetic torque second harmonic component of steam turbine generator；
Step 2: removing I on the basis of steam turbine generator equivalent circuit in the absence of Damper Winding and damping slot wedge3-
And I4-Place branch, ignores R 'mWith R 'f, rotor field coil negative-sequence current phasorIt is indicated by following formula:
Rotor field coil fundamental wave negative sequence magnetomotive force vectorIt is expressed by following formula:
When steam turbine generator loads asymmetric operation, and there is no Damper Windings with damping slot wedge winding, turn at this time
The tangential torque vector of the second harmonic of sub- excitation windingIt is expressed by following formula:
Wherein, LmFor the equivalent inductance coefficent in excitation winding of stator and rotor magnetomotive force Vecter cotpling,For turbine generator
Machine tangential electromagnetic torque vector of rotor field coil second harmonic there is no Damper Winding and when damping slot wedge,For stator
Winding, rotor field coil fundamental wave negative sequence magnetomotive force vector,WithRespectively stator winding and rotor field coil fundamental wave be just
Sequence magnetomotive force vector；
Following formula is obtained step 3: arranging by formula (4):
Step 4: removing on the basis of steam turbine generator equivalent circuit when there are Damper Windings there is no slot wedge is damped
I4-Place branch, ignores R 'm、R′fWith R 'd, indicated by following formula
Electric current phasorIt is expressed by following formula:
Rotor field coil fundamental wave negative sequence magnetomotive force vectorIt is indicated by following formula:
Magnetomotive force vectorIt is indicated by following formula:
Step 5: when steam turbine generator load asymmetric operation, and there are Damper Winding there is no damping slot wedge winding when,
The tangential torque vector of the second harmonic of rotor field coil at this timeIt is indicated by following formula:
Wherein,For steam turbine generator, there are Damper Winding, there is no rotor field coil second harmonics when damping slot wedge
Tangential electromagnetic torque vector；
Formula (10) and (11) are substituted into arrange in (12) and obtain following formula:
Step 6: ignoring R ' on the basis of steam turbine generator equivalent circuit when there are Damper Winding and damping slot wedgem、
R′fWith R 'd,It is indicated by following formula:
Electric current phasor phasorIt is indicated by following formula:
Rotor field coil fundamental wave negative sequence magnetomotive force vectorIt is indicated by following formula:
Magnetomotive force vectorIt is indicated by following formula:
Step 7: when steam turbine generator load asymmetric operation when, there are Damper Winding and damping slot wedge winding when, then this
When rotor field coil the tangential torque vector of second harmonicIt is indicated by following formula:
Wherein,Rotor field coil second harmonic when existing simultaneously Damper Winding and damping slot wedge for steam turbine generator
Tangential electromagnetic torque vector；
Formula (19) and formula (20) are substituted into formula (21) arrangement to obtain:
Step 8: Damper Winding and damping slot is being not present in the calculation formula of the total tangential force of steam turbine generator excitation winding
Wedge, there are Damper Windings there is no damping slot wedge and in the case of existing simultaneously Damper Winding and three kinds of slot wedge, and difference can be with table
It is shown as:
Wherein,WithRespectively steam turbine generator there is no Damper Winding and damping slot wedge, exist damping around
There is no damp slot wedge and rotor field coil second harmonic when existing simultaneously Damper Winding and damping slot wedge always tangential electromagnetism for group
Force vector.
Preferably, the step 5 specifically:
Step 1: according to α=I-/I+, obtain following formula:
Wherein,The magnetomotive angle of stator fundamental positive sequence is ahead of for t=0 moment stator fundamental wave negative sequence magnetomotive force；
Step 2: formula (26), which are substituted into (23), formula (24) and formula (25), obtains following formula:
Step 3: external loading occurs not when disregarding the influence of magnetic field saturation in same steam turbine generator
Inductance parameters will not change when symmetrical.In formula (27), formula (28) and formula (29) not with calculating steam turbine generator external loading
Relationship between the symmetrical excitation winding second harmonic always relevant reactance of tangential electromagnetic force passes through shown in formula (30) and formula (31):
Preferably, the step 6 specifically:
Judge different damping winding and damp slot wedge type of attachment, between the tangential electromagnetic force amplitude of steam turbine generator excitation winding
Relationship；The relationship between the tangential electromagnetic force amplitude of steam turbine generator excitation winding is determined by following formula:
Wherein,WithRespectively external loading asymmetry current asymmetry degree and
When positive sequence network is identical steam turbine generator there is no Damper Winding and damping slot wedge, there are Damper Winding there is no damping slot wedge with
And it exists simultaneously Damper Winding and damps the amplitude of the total tangential electromagnetic force of slot wedge rotor field coil second harmonic.
Preferably, the step 7 specifically:
Step 1: establishing the physical model of synchronous generator according to actual size, nuclear power Half Speed steam turbine generator is established
Physical model；
Step 2: analogue simulation nuclear power Half Speed steam turbine generator loads asymmetric operation, transient magnetic field solver is used；
Step 3: being transported using FInite Element simulation calculation nuclear power Half Speed steam turbine generator external loading asymmetry multi-state
Row establishes simulation model simulation when positive sequence network is 1/2 nominal load and nominal load, nuclear power Half Speed steamer hair respectively
The external loading asymmetric operation of motor；
Step 4: advancing with formula (33) under the premise of ignoring armature resistance and choosing suitable internal power factor angle σ
Wherein, UNFor stator voltage rating, XQFor quadrature axis synchronous reactance, I is stator current；
Step 4: I takes I when positive sequence network is 1/2 nominal loadN/ 2, I takes I when positive sequence network is nominal loadN.In armature
Stator A phase, B phase and the C phase current that side applies are respectively to be shown below:
Wherein, iA、iB、iCThe respectively instantaneous value of stator A phase, B phase and C phase fundamental current；
Step 5: the stator made by successive iteration is real by the numerical values recited for repeatedly adjusting exciting current
Border armature voltage U and practical positive-sequence power factorMeet the requirement such as following formula (35) and formula (36):
Wherein, U is the practical armature voltage of stator,For rated power factor,For the actual power of motor because
Number, εUFor the relative error of nuclear power Half Speed steam turbine generator armature voltage,The phase of nuclear power Half Speed steam turbine generator power factor
To error；
In FEM calculation, in the case where positive sequence network is 1/2 nominal load and nominal load operating condition, utilize such as following formula (37)
To control the numerical value i.e. numerical value of negative-sequence current of current asymmetry degree:
Preferably, finite element model is verified using unloaded and short circuit experiment.
The invention has the following advantages:
The present invention can accurately calculate there is no Damper Winding and damping slot wedge, there are Damper Windings there is no damping slot
Wedge and exist simultaneously Damper Winding and damping slot wedge in the case of the tangential electromagnetic force of excitation winding second harmonic.And it can help
The connection of different damping winding, arrangement and material forms cut excitation winding second harmonic when asymmetric outside prediction steam turbine generator
To the weakening effect of electromagnetic force, the mechanical strength of stator and rotor material in steam turbine generator design process is efficiently solved and analyzed
The reliability of design, judges whether stator and rotor material can support the squeezing action of the tangential electromagnetic force of excitation winding, while can
It helps through and designs the more excellent motor of anti-loading influence of fluctuations stability.
Detailed description of the invention
Fig. 1 is the vector analysis method flow chart of the tangential electromagnetic force influence of steam turbine generator excitation winding.
Fig. 2 is generator negative phase-sequence equivalent circuit diagram.
Fig. 3 is magnetic vector Space figure.
Fig. 4 is the physical model after steam turbine generator subdivision.
Fig. 5 is the connection figure of nuclear power Half Speed steam turbine generator finite element external circuit.
Fig. 6 is the connection figure of nuclear power Half Speed steam turbine generator finite element external circuit.
Fig. 7 is 1/2 nominal load positive sequence network excitation winding second harmonic electromagnetic force amplitude curve figure.
Fig. 8 nominal load positive sequence network excitation winding second harmonic electromagnetic force amplitude curve figure.
Specific embodiment
Below in conjunction with specific embodiment, describe the invention in detail.
Specific embodiment one:
According to Fig. 1, the present invention provides a kind of vector analysis of tangential electromagnetic force influence of steam turbine generator excitation winding
Method, comprising the following steps:
Step 1: the negative phase-sequence equivalent circuit of steam turbine generator is determined；
Step 2: determining the magnetic vector spatial relationship of generator, when spending asymmetric outside steam turbine generator, determines vector sky
Between effect；
Step 3: the relationship of excitation winding tangential electromagnetic force and electromagnetic torque is determined；
Step 4: the expression formula of the tangential electromagnetic force of excitation winding is determined；
Step 5: judging different damping winding and damps the type of attachment of slot wedge, determines that steam turbine generator excitation winding is cut
To the corresponding reactance relationship of electromagnetic force；
Step 6: under different damping winding and damping slot wedge type of attachment, judge that steam turbine generator excitation winding is tangential
Relationship between electromagnetic force amplitude；
Step 7: establishing the simulation model of synchronous generator, and the physical model of Synchronous Radio motor is established according to actual size,
Establish the physical model of nuclear power Half Speed steam turbine generator；
Step 8: the correctness of simulation model is verified by experiment；
Step 9: Damper Winding and damping slot wedge type of attachment are determined；
Step 10: using finite element simulation method, calculates different damping winding and connects under situation with damping slot wedge, steamer hair
The tangential electromagnetic force of motor excitation winding；
Step 11: under the same conditions, determine that finite element simulation method and the steam turbine generator excitation winding are tangentially electric
Whether the tangential electromagnetic force of steam turbine generator excitation winding that the vector analysis method that magnetic force influences calculates is with uniformity.
The key step of vector analysis method: firstly, providing magnetic vector Space figure from the angle of magnetic field interaction；
Secondly, according to the pass of negative phase-sequence equivalent circuit and the excitation winding tangential electromagnetic force and electromagnetic torque of steam turbine generator
System, derives the expression formula of the tangential electromagnetic force of excitation winding second harmonic, and with expression parsing Damper Winding and slot wedge
To the expression formula of the tangential tangential electromagnetic force of electromagnetic force influence excitation winding second harmonic of steam turbine generator excitation winding:
The key step of verification method: using finite element method to Damper Winding and slot wedge to steam turbine generator excitation around
The authenticity of the new method analysis of the tangential electromagnetic force influence of group is verified.Reactance parameter measuring and calculating is accurate inside steam turbine generator
The raising of property, can increase the accuracy of the quantitative analysis of this method.
The connection of different damping winding, arrangement and material shape when the present invention can be asymmetric outside aid forecasting steam turbine generator
Formula efficiently solves in steam turbine generator design process to the weakening effect of the tangential electromagnetic force of excitation winding second harmonic and determines, turns
The reliability of the Mechanical Strength Design of sub- material, can help through that design anti-loading influence of fluctuations stability more excellent
Motor.
The present invention can accurately calculate there is no Damper Winding and damping slot wedge, there are Damper Windings there is no damping slot
Wedge and exist simultaneously Damper Winding and damping slot wedge in the case of the tangential electromagnetic force of excitation winding second harmonic.And it can help
The connection of different damping winding, arrangement and material forms cut excitation winding second harmonic when asymmetric outside prediction steam turbine generator
To the weakening effect of electromagnetic force, the mechanical strength of stator and rotor material in steam turbine generator design process is efficiently solved and analyzed
The reliability of design, judges whether stator and rotor material can support the squeezing action of the tangential electromagnetic force of excitation winding, while can
It helps through and designs the more excellent motor of anti-loading influence of fluctuations stability.
Specific embodiment two:
S1: the negative phase-sequence equivalent circuit of generator is determined.
S11: defining current asymmetry degree α is
Wherein, I+And I-Respectively stator fundamental positive sequence and negative-sequence current phasor virtual value.
S12: do not consider that steam turbine generator negative phase-sequence equivalent circuit is as shown in Figure 2 when the mutual inductance between each winding of rotor.Wherein,
RaFor armature resistance, XσFor armature leakage reactance, X 'mFor excitation reactance, RmFor excitation resistance, X 'fσIt is leaked for rotor field coil after reduction
Reactance, R 'fFor rotor field coil resistance, U after reduction-For stator fundamental wave negative sequence voltage, I2-For excitation winding fundamental wave negative sequence electricity
Stream, s is revolutional slip, R 'dFor Damper Winding resistance, X ' after reductiondσFor Damper Winding leakage reactance, I after reduction3-For Damper Winding base
Wave negative-sequence current, R 'wTo damp slot wedge resistance, X ' after reductionwσTo damp slot wedge leakage reactance, I after reduction4-To damp slot wedge fundamental wave
Negative-sequence current.
When existing simultaneously Damper Winding and slot wedge, generator equivalent circuit is as shown in Figure 2；There are Damper Winding, there is no resistances
Buddhist nun's slot wedge, generator equivalent circuit eliminate I on the basis of Fig. 24-Branch；There is no Damper Winding and slot wedge, when generator
Equivalent circuit eliminates I on the basis of Fig. 23-And I4-Branch.
S2: the magnetic vector spatial relationship of generator is determined.
Magnetic vector Space figure is as shown in Figure 3 when asymmetric outside steam turbine generator.Wherein,WithIt is respectively fixed
Sub- winding and rotor field coil fundamental positive sequence magnetomotive force vector,WithRespectively stator winding, rotor are encouraged
Magnetic winding, Damper Winding and damping slot wedge fundamental wave negative sequence magnetomotive force vector, δ1And δ2As shown in figure 3, ωsFor synchronous angular velocity, just
Order componentsWithIt is rotated counterclockwise with synchronous angular velocity, negative sequence componentWithIt is rotated clockwise with synchronous angular velocity.
S3: the relationship between the tangential electromagnetic force of excitation winding and electromagnetic torque is determined.
The tangential electromagnetic torque of excitation winding is that its electromagnetism gap edge is 1/r times.Wherein, r is the outer radius of rotor.
S4: the expression formula of the tangential electromagnetic force of excitation winding is derived.
S41: using electromagnetic torque its actually magnetic field interaction result and the principle of virtual displacement are tangentially electric to steam turbine generator
The expression formula of magnetic torque second harmonic component is studied.
S42: there is no when Damper Winding and damping slot wedge, I is eliminated as shown in Figure 23-And I4-Branch ignores R 'mAnd R
′f, rotor field coil negative-sequence current phasorFor
Therefore, rotor field coil fundamental wave negative sequence magnetomotive force vectorFor
Steam turbine generator loads asymmetric operation, and there is no Damper Winding and when damping slot wedge winding, rotor at this time
The tangential torque vector of the second harmonic of excitation windingFor
Wherein, LmFor the equivalent inductance coefficent in excitation winding of stator and rotor magnetomotive force Vecter cotpling,For turbine generator
There is no rotor field coil second harmonic tangential electromagnetic torque vectors when Damper Winding and damping slot wedge for machine.
Being arranged by formula (4) can obtain
S43: there are Damper Windings there is no when damping slot wedge, eliminates I as shown in Figure 24-Branch ignores R 'm、R′fWith
R′d,For
Electric current phasorFor
Therefore, rotor field coil fundamental wave negative sequence magnetomotive force vectorFor
Magnetomotive force vectorFor
Steam turbine generator load asymmetric operation, and there are Damper Winding there is no damping slot wedge winding when, at this time turn
The tangential torque vector of the second harmonic of sub- excitation windingFor
Wherein,For steam turbine generator, there are Damper Winding, there is no rotor field coil second harmonics when damping slot wedge
Tangential electromagnetic torque vector.
Formula (10) and formula (11) is brought into formula (12) to arrange and can obtain
S44: when there are Damper Winding and damping slot wedge, as shown in Fig. 2, ignoring R 'm、R′fWith R 'd,For
Electric current phasorFor
Therefore, rotor field coil fundamental wave negative sequence magnetomotive force vectorFor
Magnetomotive force vectorFor
Steam turbine generator loads asymmetric operation, and there are when Damper Winding and damping slot wedge winding, rotor at this time is encouraged
The tangential torque vector of the second harmonic of magnetic windingFor
Wherein,Rotor field coil second harmonic when existing simultaneously Damper Winding and damping slot wedge for steam turbine generator
Tangential electromagnetic torque vector.
Formula (19) and formula (20) is brought into formula (21) to arrange and can obtain
S45: by arranging and induction and conclusion step S41, S42, S43 and S44, the total tangential force of steam turbine generator excitation winding
Calculation formula there is no Damper Winding and damping slot wedge, there are Damper Windings there is no damping slot wedge and to exist simultaneously resistance
In the case of Buddhist nun's winding and three kinds of slot wedge, it can indicate respectively are as follows:
Wherein,WithRespectively there is damping there is no Damper Winding and damping slot wedge in steam turbine generator
Rotor field coil second harmonic is always tangential there is no damping slot wedge and when existing simultaneously Damper Winding and damping slot wedge for winding
Electromagnetism force vector.
Step S1-S4 has been completed the calculating of electromagnetic force, and S5-S6 is used to carry out the verification of consistency with emulation mode.
S5: judging under different damping winding and damping slot wedge type of attachment, and the tangential electromagnetic force of generator excitation winding is corresponding
Reactance between relationship.
Due to α=I-/I+, available
Wherein,The magnetomotive angle of stator fundamental positive sequence is ahead of for t=0 moment stator fundamental wave negative sequence magnetomotive force.
Wushu (26) is brought formula (23), formula (24) and formula (25) into and can be obtained
The influence of magnetic field saturation is such as disregarded in same steam turbine generator, and inductance when external loading asymmetry occurs and joins
Number will not change.In formula (27), formula (28) and formula (29) with calculate steam turbine generator external loading asymmetry excitation winding
Shown in relationship such as formula (30) and formula (31) between the second harmonic always relevant reactance of tangential electromagnetic force
S6: judge under different damping winding and damping slot wedge type of attachment, the tangential electromagnetic force amplitude of generator excitation winding
Between relationship.
Formula (27), formula (28) and formula (29) are arranged according to formula (30) and formula (31)
Wherein,WithRespectively external loading asymmetry current asymmetry degree and
When positive sequence network is identical steam turbine generator there is no Damper Winding and damping slot wedge, there are Damper Winding there is no damping slot wedge with
And it exists simultaneously Damper Winding and damps the amplitude of the total tangential electromagnetic force of slot wedge rotor field coil second harmonic.
When formula (32) shows that current asymmetry degree is identical with positive sequence network, there are Damper Windings to damp slot wedge for steam turbine generator
Always tangential electromagnetic force amplitude is minimum for rotor field coil second harmonic when winding, and there are Damper Winding, there is no damping slot wedge windings
When rotor field coil second harmonic always tangential electromagnetic force amplitude is larger, there is no rotors when Damper Winding and damping slot wedge winding
The total tangential electromagnetic force amplitude maximum of excitation winding second harmonic.
Below by taking a 1400MVA nuclear power Half Speed steam turbine generator as an example, Damper Winding and slot wedge are completed to turbine generator
The verifying of the authenticity of the new method analysis of the tangential electromagnetic force influence of machine excitation winding.
S7: the simulation model of synchronous generator is established.
The physical model that synchronous generator is established according to actual size establishes the physics mould of nuclear power Half Speed steam turbine generator
Type, Fig. 4 are nuclear power Half Speed steam turbine generator two-dimensional physical model after subdivision.
Analogue simulation nuclear power Half Speed steam turbine generator loads asymmetric operation, uses transient magnetic field solver at this time.It uses
FInite Element simulation calculation nuclear power Half Speed steam turbine generator external loading asymmetry multi-state operation, in order to more efficiently study
The influence of current asymmetry degree, Damper Winding and damping slot wedge for rotor field coil electromagnetic torque.Emulation mould is established respectively
Type, when positive sequence network is 1/2 nominal load and nominal load, the external loading of nuclear power Half Speed steam turbine generator is or not simulation
Symmetrical operation.Fig. 5 is the connection figure of nuclear power Half Speed steam turbine generator finite element external circuit.End reactance is Lsσ, generator end
It acts in the reactance of end and emerges from.
Under the premise of ignoring armature resistance, advances with formula (33) and choose suitable internal power factor angle σ
Wherein, UNFor stator voltage rating, XQFor quadrature axis synchronous reactance, I is stator current.Positive sequence network is 1/2 specified negative
I takes I when loadN/ 2, I takes I when positive sequence network is nominal loadN.It is respectively in stator A phase, B phase and the C phase current that armature-side applies
Wherein, iA、iB、iCThe respectively instantaneous value of stator A phase, B phase and C phase fundamental current.
By repeatedly adjusting the numerical values recited of exciting current, the practical armature of stator made by successive iteration is electric
Press U and practical positive-sequence power factorMeet the requirement such as formula (35) and formula (36), εUIt is electromechanical for nuclear power Half Speed turbine generator
The relative error of pivot voltage,The relative error of nuclear power Half Speed steam turbine generator power factor.
Wherein, U is the practical armature voltage of stator,For rated power factor,For the actual power of motor because
Number.
In FEM calculation, in the case where positive sequence network is 1/2 nominal load and nominal load operating condition, controlled using formula (37)
Numerical value, that is, negative-sequence current numerical value of current asymmetry degree processed.
S8: the correctness of simulation model is verified by experiment.
After the model for establishing 1400MVA finite element simulation, by testing the correctness progress to finite element model
Verifying.In this step, finite element model is verified using unloaded and short circuit experiment, unloaded and short circuit experiment and finite element are imitative
True data is as shown in Table 1 and Table 2.Unloaded and short circuit experiment data and the result of finite element simulation have high consistency, phase
3% is no more than to error, effectively demonstrates the accuracy of 1400MVA limit element artificial module.
1 no load test of table and finite element simulation data
| Exciting current (A) | It tests stator three-phase average voltage (V) | FInite Element stator three-phase average voltage (V) | Relative error (%) |
| 1225 | 10729 | 10500.36 | 2.13 |
| 2010 | 17398 | 17035.20 | 2.09 |
| 2645 | 21836 | 21690.10 | 0.67 |
| 3115 | 24075 | 23832.54 | 1.01 |
| 4000 | 26400 | 25985.69 | 1.57 |
2 short circuit experiment of table and finite element simulation data
| Exciting current (A) | It tests stator three-phase average voltage (V) | FInite Element stator three-phase average voltage (V) | Relative error (%) |
| 1010 | 6774 | 6830.4 | 0.83 |
| 2830 | 18781 | 19134.5 | 1.87 |
| 4585 | 30631 | 30997.6 | 1.20 |
| 5325 | 35699 | 36002.7 | 0.85 |
S9: Damper Winding and damping slot wedge type of attachment are determined.
In this step, the variation of Damper Winding and damping slot wedge type of attachment is divided into that there is no Damper Windings and damping slot
Wedge, there are Damper Windings there is no damping slot wedge and to exist simultaneously Damper Winding and damping slot wedge.And Damper Winding and resistance
The connection of Buddhist nun's slot wedge is absolute damping form, i.e., Damper Winding forms a full loop together with the end whole of damping slot wedge,
As shown in Figure 6.
S10: using finite element simulation method, calculates under different damping winding and damping slot wedge type of attachment, generator is encouraged
The tangential electromagnetic force of magnetic winding.
Fig. 7 and Fig. 8 be respectively with the current asymmetry degree α 1/2 nominal load positive sequence network changed and nominal load just
Sequence network, there is no Damper Winding and damping slot wedge, there are Damper Winding there is no damping slot wedge and exist simultaneously damping around
When group and damping slot wedge, the total tangential electricity of the nuclear power Half Speed rotor of steam turbo generator excitation winding second harmonic of finite element stimulation
The curve of magnetic force amplitude.
S11: under comparison the same terms, finite element simulation method and the generator excitation winding that vector analysis calculates are tangentially electric
Whether magnetic force is with uniformity.
Shown in Fig. 7 and Fig. 8, FEM Numerical Simulation illustrates in positive sequence network with current asymmetry degree α outside identical stable state
It loads steam turbine generator in asymmetric situation and exists simultaneously Damper Winding and the total tangential electricity of damping slot wedge excitation winding second harmonic
Magnetic force amplitude is minimum, and there are Damper Windings, and the case where damping slot wedge excitation winding second harmonic always tangential electromagnetic force amplitude is not present
Take second place, Damper Winding and excitation winding second harmonic when damping slot wedge always tangential electromagnetic force amplitude maximum is not present, there is damping
Winding and the average effect point for existing simultaneously Damper Winding and damping slot wedge weakening excitation winding second harmonic electromagnetic force amplitude
It Wei 72.4% and 74%.Under external loading asymmetry operating condition, Damper Winding and damping slot wedge have weakening steam turbine generator
The effect of rotor field coil second harmonic electromagnetic force amplitude.And when existing simultaneously Damper Winding and damping slot wedge, inhibit stable state
The effect for loading asymmetric operating condition lower rotor part excitation winding second harmonic electromagnetic force amplitude is best.The method and sheet of finite element simulation
What patent proposed studies Damper Winding and slot wedge to the tangential electromagnetic force influence of steam turbine generator excitation winding using vector analysis
Method, which analyzes result, has good consistency.
The above is only the preferred implementation of the vector analysis method of the tangential electromagnetic force influence of steam turbine generator excitation winding
Mode, the protection scope of the vector analysis method of the tangential electromagnetic force influence of steam turbine generator excitation winding are not limited merely to above-mentioned
Embodiment, all technical solutions belonged under thinking all belong to the scope of protection of the present invention.It should be pointed out that for the art
For technical staff, several improvements and changes without departing from the principles of the present invention, such modifications and variations also be should be regarded as
Protection scope of the present invention.
Claims (7)
1. a kind of vector analysis method of the tangential electromagnetic force influence of steam turbine generator excitation winding, it is characterized in that: including following step
It is rapid:
Step 1: the negative phase-sequence equivalent circuit of steam turbine generator is determined；
Step 2: determining the magnetic vector spatial relationship of generator, when spending asymmetric outside steam turbine generator, determines that vector space is imitated
Fruit；
Step 3: the relationship of excitation winding tangential electromagnetic force and electromagnetic torque is determined；
Step 4: the expression formula of the tangential electromagnetic force of excitation winding is determined；
Step 5: judging different damping winding and damps the type of attachment of slot wedge, determines that steam turbine generator excitation winding is tangentially electric
The corresponding reactance relationship of magnetic force；
Step 6: under different damping winding and damping slot wedge type of attachment, judge the tangential electromagnetism of steam turbine generator excitation winding
Relationship between power amplitude；
Step 7: establishing the simulation model of synchronous generator, and the physical model of Synchronous Radio motor is established according to actual size, establishes
The physical model of nuclear power Half Speed steam turbine generator；
Step 8: the correctness of simulation model is verified by experiment；
Step 9: Damper Winding and damping slot wedge type of attachment are determined；
Step 10: using finite element simulation method, calculates different damping winding and connects under situation with damping slot wedge, steam turbine generator
The tangential electromagnetic force of excitation winding；
Step 11: under the same conditions, finite element simulation method and the tangential electromagnetic force of steam turbine generator excitation winding are determined
Whether the tangential electromagnetic force of steam turbine generator excitation winding that the vector analysis method of influence calculates is with uniformity.
2. a kind of vector analysis method of tangential electromagnetic force influence of steam turbine generator excitation winding according to claim 1,
It is characterized in that: the step 1 specifically:
Step 1: determining the negative phase-sequence equivalent circuit of steam turbine generator, current asymmetry degree α is defined, definition electricity is defined by following formula
Flow degree of asymmetry α:
Wherein, I+And I-Respectively stator fundamental positive sequence and negative-sequence current phasor virtual value；
Step 2: determining steam turbine generator negative phase-sequence equivalent circuit, the steamer when not considering the mutual inductance between each winding of rotor
Generator negative phase-sequence equivalent circuit includes armature resistance Ra, armature leakage reactance Xσ, excitation reactance X 'm, excitation resistance Rm, rotor after reduction
Excitation winding leakage reactance X 'fσ, rotor field coil resistance R ' after reductionf, stator fundamental wave negative sequence voltage U-, excitation winding fundamental wave is negative
Sequence electric current I2-, revolutional slip s, Damper Winding resistance R ' after reductiond, Damper Winding leakage reactance X ' after reductiondσ, Damper Winding fundamental wave is negative
Sequence electric current I3-, slot wedge resistance R ' is damped after reductionw, slot wedge leakage reactance X ' is damped after reductionwσ, damp slot wedge fundamental negative sequence current
I4-；
Step 3: in the absence of damping slot wedge, eliminating I on the basis of steam turbine generator equivalent circuit when Damper Winding exists4-
Place branch；In the absence of Damper Winding and slot wedge, I is eliminated on the basis of steam turbine generator equivalent circuit3-And I4-Place
Branch.
3. a kind of vector analysis method of tangential electromagnetic force influence of steam turbine generator excitation winding according to claim 1,
It is characterized in that: the step 4 specifically:
Step 1: being studied using electromagnetic torque the tangential electromagnetic torque second harmonic component of steam turbine generator；
Step 2: removing I on the basis of steam turbine generator equivalent circuit in the absence of Damper Winding and damping slot wedge3-And I4-
Place branch, ignores R 'mWith R 'f, rotor field coil negative-sequence current phasorIt is indicated by following formula:
Rotor field coil fundamental wave negative sequence magnetomotive force vectorIt is expressed by following formula:
When steam turbine generator loads asymmetric operation, and there is no Damper Windings with damping slot wedge winding, rotor at this time is encouraged
The tangential torque vector of the second harmonic of magnetic windingIt is expressed by following formula:
Wherein, LmFor the equivalent inductance coefficent in excitation winding of stator and rotor magnetomotive force Vecter cotpling,Not for steam turbine generator
Rotor field coil second harmonic tangential electromagnetic torque vector when there are Damper Winding and damping slot wedge,For stator around
Group, rotor field coil fundamental wave negative sequence magnetomotive force vector,WithRespectively stator winding and rotor field coil fundamental wave be just
Sequence magnetomotive force vector；
Following formula is obtained step 3: arranging by formula (4):
Step 4: eliminating I on the basis of steam turbine generator equivalent circuit when there are Damper Windings there is no slot wedge is damped4-
Place branch, ignores R 'm、R′fWith R 'd, indicated by following formula
Electric current phasorIt is expressed by following formula:
Rotor field coil fundamental wave negative sequence magnetomotive force vectorIt is indicated by following formula:
Magnetomotive force vectorIt is indicated by following formula:
Step 5: when steam turbine generator load asymmetric operation, and there are Damper Winding there is no damping slot wedge winding when, at this time
Rotor field coil the tangential torque vector of second harmonicIt is indicated by following formula:
Wherein,For steam turbine generator, there are Damper Winding, there is no rotor field coil second harmonic when damping slot wedge is tangential
Electromagnetic torque vector；
Formula (10) and (11) are substituted into arrange in (12) and obtain following formula:
Step 6: ignoring R ' on the basis of steam turbine generator equivalent circuit when there are Damper Winding and damping slot wedgem、R′fWith
R′d,It is indicated by following formula:
Electric current phasor phasorIt is indicated by following formula:
Rotor field coil fundamental wave negative sequence magnetomotive force vectorIt is indicated by following formula:
Magnetomotive force vectorIt is indicated by following formula:
Step 7: when steam turbine generator loads asymmetric operation, when there are Damper Winding and damping slot wedge winding, then at this time
The tangential torque vector of the second harmonic of rotor field coilIt is indicated by following formula:
Wherein,Rotor field coil second harmonic is tangentially electric when existing simultaneously Damper Winding and damping slot wedge for steam turbine generator
Magnetic torque vector；
Formula (19) and formula (20) are substituted into formula (21) arrangement to obtain:
Step 8: the calculation formula of the total tangential force of steam turbine generator excitation winding is deposited there is no Damper Winding and damping slot wedge
When Damper Winding is there is no damping slot wedge and exists simultaneously Damper Winding and three kinds of slot wedge, can indicate respectively are as follows:
Wherein,WithRespectively Damper Winding is not present in steam turbine generator and damping slot wedge, there are Damper Windings not
In the presence of damping slot wedge and exist simultaneously Damper Winding and rotor field coil second harmonic when damping slot wedge always tangential electromagnetism force vector
Amount.
4. a kind of vector analysis method of tangential electromagnetic force influence of steam turbine generator excitation winding according to claim 1,
It is characterized in that: the step 5 specifically:
Step 1: according to α=I-/I+, obtain following formula:
Wherein,The magnetomotive angle of stator fundamental positive sequence is ahead of for t=0 moment stator fundamental wave negative sequence magnetomotive force；
Step 2: formula (26), which are substituted into (23), formula (24) and formula (25), obtains following formula:
Step 3: it is asymmetric that external loading occurs when disregarding the influence of magnetic field saturation in same steam turbine generator
When inductance parameters will not change.It is asymmetric with calculating steam turbine generator external loading in formula (27), formula (28) and formula (29)
Relationship between the always relevant reactance of tangential electromagnetic force of excitation winding second harmonic passes through shown in formula (30) and formula (31):
5. a kind of vector analysis method of tangential electromagnetic force influence of steam turbine generator excitation winding according to claim 1,
It is characterized in that: the step 6 specifically:
Judge different damping winding and damping slot wedge type of attachment, the pass between the tangential electromagnetic force amplitude of steam turbine generator excitation winding
System；The relationship between the tangential electromagnetic force amplitude of steam turbine generator excitation winding is determined by following formula:
Wherein,WithRespectively external loading asymmetry current asymmetry degree and positive sequence
Steam turbine generator is there is no Damper Winding and damping slot wedge, there are Damper Winding, there is no damping slot wedges and same when network is identical
When there are the amplitudes of Damper Winding and the total tangential electromagnetic force of damping slot wedge rotor field coil second harmonic.
6. a kind of vector analysis method of tangential electromagnetic force influence of steam turbine generator excitation winding according to claim 1,
It is characterized in that: the step 7 specifically:
Step 1: establishing the physical model of synchronous generator according to actual size, the physics of nuclear power Half Speed steam turbine generator is established
Model；
Step 2: analogue simulation nuclear power Half Speed steam turbine generator loads asymmetric operation, transient magnetic field solver is used；
Step 3: run using FInite Element simulation calculation nuclear power Half Speed steam turbine generator external loading asymmetry multi-state, point
Simulation model simulation is not established when positive sequence network is 1/2 nominal load and nominal load, nuclear power Half Speed steam turbine generator
External loading asymmetric operation；
Step 4: advancing with formula (33) under the premise of ignoring armature resistance and choosing suitable internal power factor angle σ
Wherein, UNFor stator voltage rating, XQFor quadrature axis synchronous reactance, I is stator current；
Step 4: I takes I when positive sequence network is 1/2 nominal loadN/ 2, I takes I when positive sequence network is nominal loadN.It is applied in armature-side
Stator A phase, B phase and the C phase current added is respectively to be shown below:
Wherein, iA、iB、iCThe respectively instantaneous value of stator A phase, B phase and C phase fundamental current；
Step 5: the stator made by successive iteration is practical electric by the numerical values recited for repeatedly adjusting exciting current
Pivot voltage U and practical positive-sequence power factorMeet the requirement such as following formula (35) and formula (36):
Wherein, U is the practical armature voltage of stator,For rated power factor,For the actual power factor of motor, εU
For the relative error of nuclear power Half Speed steam turbine generator armature voltage,The opposite of nuclear power Half Speed steam turbine generator power factor is missed
Difference；
In FEM calculation, in the case where positive sequence network is 1/2 nominal load and nominal load operating condition, controlled using such as following formula (37)
Numerical value, that is, negative-sequence current numerical value of current asymmetry degree processed:
7. a kind of vector analysis method of tangential electromagnetic force influence of steam turbine generator excitation winding according to claim 6,
It is characterized in that: being verified using unloaded and short circuit experiment to finite element model.
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