CN109103905A - A kind of digital simulation method of steam turbine generator hyposynchronous resonance of power system - Google Patents

A kind of digital simulation method of steam turbine generator hyposynchronous resonance of power system Download PDF

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Publication number
CN109103905A
CN109103905A CN201811285739.6A CN201811285739A CN109103905A CN 109103905 A CN109103905 A CN 109103905A CN 201811285739 A CN201811285739 A CN 201811285739A CN 109103905 A CN109103905 A CN 109103905A
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steam turbine
turbine generator
initial value
digital simulation
power system
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付敏
毕妍霜
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Harbin University of Science and Technology
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Harbin University of Science and Technology
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/24Arrangements for preventing or reducing oscillations of power in networks
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/30Circuit design
    • G06F30/36Circuit design at the analogue level
    • G06F30/367Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]

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  • Computer Hardware Design (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Microelectronics & Electronic Packaging (AREA)
  • Evolutionary Computation (AREA)
  • Geometry (AREA)
  • General Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Power Engineering (AREA)
  • Control Of Eletrric Generators (AREA)

Abstract

The present invention provides a kind of digital simulation method of steam turbine generator hyposynchronous resonance of power system, step includes: the mathematical model that (1) establishes steam turbine generator electric system;(2) initial data is read in;(3) electrical system initial value is calculated, and fractional increments are assigned to aleatory variable;(4) calculating machine system initial value;(5) setting time initial value t;(6) electric system equation group is solved;(7) Te is calculated, and solves mechanical system equation group, exports related result;(8) time t is reset into t+, whereinFor preset time interval;(9) judge whether t exceeds threshold value tmax, if it is not, step (5)~(8) are repeated, until meeting t >=tmax;(10) simulation figure is exported.The present invention can be used for carrying out Digital Simulation to the subsynchronous resonance phenomenon that steam turbine generator electric system generates, and then the stability for promoting the economy transmitted electricity and maintenance steam turbine generator electric system is of great significance.

Description

A kind of digital simulation method of steam turbine generator hyposynchronous resonance of power system
Technical field
The present invention relates to a kind of digital simulation technique more particularly to the numbers of the subsynchronous resonance of steam turbine generator electric system Word emulation technology.
Background technique
In order to improve stability of the steam turbine generator electric system in remote, large capacity transmission, and more economical, Existing resource is reasonably used, series capacitor compensation technology is generallyd use.And this technology is improving stability and economy Meanwhile it being easy to cause Sub-synchronous Resonance, endanger the safe operation of unit.As this problem is more and more common, this is asked The research of topic and corresponding engineer application are increasingly becoming the emphasis paid close attention to both at home and abroad.
Since energy resource structure and load develop unbalanced, the production and consumption of electric energy is inverse by energy preservation and demand Serious restriction to Distribution Pattern, so trans-regional, large capacity transmission is trend of the times.
To solve the above-mentioned problems, it needs using more solid, flexible, efficient conveying and control means.Newly-built transmission of electricity Route or the ability to transmit electricity for improving route are all the pretty good methods of comparison, and series compensation uses series capacitor compensated line induction reactance Reduce line drop and power angle, so as to promoting route conveying capacity, reinforces grid stability.Compare newly-built transmission line of electricity, string Connection compensation reduces the cost input of equipment and corridor of transmitting electricity, and also mitigates the influence and electromagnetic pollution to ecological environment, has Apparent social and economic benefit.Route series capacitor compensation technology is for promoting the transmission capacity of remote conveying electric network, mentioning Rise the stability of steam turbine generator electric system, reduce loss etc. is effective.But it is impolitic to be gone here and there in power circuit Join compensating electric capacity, it is not single to excite " self-excitation " (self excitation, SE) phenomenon in systems, it is also possible to one can be caused The novel mechanical-electric coupling oscillatory regime of kind, it is also possible to a kind of novel mechanical-electric coupling oscillatory regime can be caused, Given this oscillation frequency Rate is obviously higher than the frequency of oscillation of widely known " low-frequency oscillation ", while being less than system synchronizing frequency again, in this case, Academia coupled oscillations phenomenon between this Mechatronic Systems is called " subsynchronous resonance (subsynchronous resonance, SSR) "
The stability problem that subsynchronous resonance is generated as a kind of coupling of machine net, harm is existing systematic, also has for tool Body equipment, summarize including the following aspects.
1. the fatigue damage of the big shaft mechanical system of pair unit
When occur TI or TA form subsynchronous resonance when, shaft system of unit system is directly participated, sub-synchronous oscillation along with Occurring high-frequent reciprocating torque between shafting mass, the torque and operation torque etc. stack up the stress of generation, once be more than The fatigue limit of material or component may generate fatigue accumulation, for example, domestic 600MW unit, usually when shafting torsional oscillation is zero It this may result in fatigue loss at several grades of point, reduce the service life of unit;And if there are the higher torsional oscillation of amplitude, machines for a long time Group can be cracked quickly or even damages the situation scrapped;Under extreme case, if subsynchronous resonance rapid divergence leads to torsional oscillation It sharply increases, or serious transient state torque amplification occurs, so that shafting total torque or stress are more than that it tolerates the limit, then may Moment leads to the big axle fracture of unit, brings serious equipment even personal safety accident.
U.S.'s subsynchronous resonance that Hough power plant did not once occur leads to shaft coupling fracture damage between generator and exciter Accident, and domestic some power plant 600MW also once occurred causing because of the torsional oscillation of lasting higher-strength the low method of unit to wheel and There is serious crackle event in generator shaft, and causes the direct economic loss of great number.These torsional oscillation events not only result in height The direct economic loss of volume, and may cause unit and stop production for a long time, it is brought to steam turbine generator safe operation of power system Greatly harm.
2. voltage and current transfinites risk in unit electrical system
When subsynchronous resonance rapid divergence, the rotor-side and stator side of unit will appear very big subsynchronous or its complementary frequency The voltage and current of rate, high pressure may jeopardize the insulation of unit, and high current will cause heating in winding, and then protection act is caused to be cut Except the electrical system of unit or damage unit itself.
3. voltage and current transfinites risk in grid equipment
Subsynchronous resonance may cause very big non-power current, and be superimposed with load current, once it is more than the voltage of equipment With electric current feasible value, it will lead to protection act excision unit or damage the electrical system of unit itself.
Simultaneously it should also be noted that being different from other stable problems of steam turbine generator electric system, the danger of subsynchronous resonance Evil be also difficult to avoid that, it is difficult to predict, be difficult to the features such as discovering.The intrinsic torsion frequency of steam-electric generating set shafting and power grid Electrical resonance frequency complementary is to be likely to result in subsynchronous resonance, but actually close is one very wide in range close to the mutual added time Range.
4. the threat pair system monolithic stability reliability service
When subsynchronous resonance occurs, related protection precision maneuver, such as cuts off unit or bypass breaker, it is also possible to lead to electricity in time Net loses power supply or transmission facility, influences the security and stability of power grid entirety.In addition, subsynchronous resonance will lead to voltage and current In there is m-Acetyl chlorophosphonazo, not only reduce the power quality of power grid especially station service, and may cause in power grid certain protections with There is malfunction in control equipment, jeopardizes system safety.
Simultaneously it will be noted that being different from other stable problems of steam turbine generator electric system, the danger of subsynchronous resonance Evil be also difficult to avoid that, it is difficult to predict, be difficult to the features such as discovering.
The most serious harm of mechanical-electric coupling oscillation is that unit rotor shafting can be caused torsional oscillation occur, to the machinery of rotor It performance and is had an impact using the time, shafting can be caused to be broken when serious, that damages steam turbine generator electric system can By firm operation.The appearance of Sub-synchronous Resonance hinders the fast development of Series Compensation to a certain extent, in turn Remote, large capacity transmission system efficiency is affected, the realization of trans-regional interconnected network is unfavorable for.
Summary of the invention
To solve the above-mentioned problems, it is imitative that the invention proposes a kind of numbers of steam turbine generator hyposynchronous resonance of power system True method, step include:
(1) mathematical model of steam turbine generator electric system is established;(2) initial data is read in;(3) electrical system initial value is calculated, And fractional increments are assigned to aleatory variable;(4) calculating machine system initial value;(5) setting time initial value t;(6) electric system is solved Equation group;(7) Te is calculated, and solves mechanical system equation group, exports related result;(8) time t is reset into t+, InFor preset time interval;(9) judge whether t exceeds threshold value tmax, if it is not, step (5)~(8) are repeated, until meeting t>=tmax;(10) simulation figure is exported.
It is more preferably, described that be assigned to fractional increments to aleatory variable include to unlimited high-power system voltageIt is assigned to small Increment.
More preferably, the initial value of the mechanical system includes the angle of each shaft part, angular speedAnd applied moment
More preferably, the time initial value described in the digital simulation method of above-mentioned steam turbine generator hyposynchronous resonance of power system t=0.008s。
More preferably, in the digital simulation method of above-mentioned steam turbine generator hyposynchronous resonance of power system, between the time Every=0.008s。
The digital simulation method of steam turbine generator hyposynchronous resonance of power system provided by the present invention, can effectively be directed to The subsynchronous resonance phenomenon that steam turbine generator electric system generates carries out Digital Simulation, using the analogous diagram of output to turbine generator The subsynchronous resonance conditions of electromechanical Force system are analyzed and researched, and then promote the economy and maintenance turbine generator electromechanics of transmission of electricity The stability of Force system is of great significance.
Detailed description of the invention
Fig. 1 is the Digital Simulation flow chart that one embodiment of the invention is related to
Fig. 2 is the subsynchronous resonance example system that one embodiment of the invention is related to
Fig. 3 is the three pole reactor element schematic that one embodiment of the invention is related to
Fig. 4 is that one embodiment of the invention is related toWithThe relation schematic diagram of generalized phasor
Fig. 5 is that the generator operating parameter initial value that one embodiment of the invention is related to calculates schematic diagram
Fig. 6 is the electrical system initial value schematic diagram that one embodiment of the invention is related to
Fig. 7 is the amplification of torque caused by subsynchronous resonance phenomenon in analogous diagram that one embodiment of the invention is related to
Fig. 8 is that power transmission network resistance is in analogous diagram that one embodiment of the invention is related toWhen
Fig. 9 is that power transmission network resistance is in analogous diagram that one embodiment of the invention is related toWhen
Figure 10 is that power transmission network resistance is in analogous diagram that one embodiment of the invention is related toWhen
Figure 11 is that power transmission network resistance is in analogous diagram that one embodiment of the invention is related toWhen
Figure 12 is that power transmission network resistance is in analogous diagram that one embodiment of the invention is related toWhen
When Figure 13 is that compensativity is 35% in analogous diagram that one embodiment of the invention is related to
When Figure 14 is that compensativity is 40% in analogous diagram that one embodiment of the invention is related to
When Figure 15 is that compensativity is 55.1% in analogous diagram that one embodiment of the invention is related to
When Figure 16 is that compensativity is 57.6% in analogous diagram that one embodiment of the invention is related to
Specific embodiment
Of the invention is described in detail with reference to the accompanying drawings and examples.
As shown in Figure 1, the present invention provides a kind of digital simulation method of steam turbine generator hyposynchronous resonance of power system, Its step includes:
(1) mathematical model of steam turbine generator electric system is established;(2) initial data is read in;(3) electrical system initial value is calculated, And fractional increments are assigned to aleatory variable;(4) calculating machine system initial value;(5) setting time initial value t;(6) electric system is solved Equation group;(7) Te is calculated, and solves mechanical system equation group, exports related result;(8) time t is reset into t+, whereinFor preset time interval;(9) judge whether t exceeds threshold value tmax, if it is not, repeat step (5)~(8), until meet t > =tmax;(10) simulation figure is exported.
It is specifically described below for above-mentioned steps.
One, the mathematical model of steam turbine generator electric system is established
In order to obtain the Digital Simulation situation of subsynchronous resonance, the mathematical model of system is initially set up.System by mechanical system and Electrical system two parts are constituted.In Fig. 2 (b), transformer resistance is had been incorporated into generator unit stator resistance, and its reactance has been incorporated into hair In motor stator leakage reactance.
Referring to attached drawing 1, the mathematical model of electrical system, including synchronous generator, resistance, inductance, capacitor etc. are initially set up The mathematical model of network element, and utilize hiding-trapezium integral method by its discretization.The end of synchronous generator is utilized after discretization Obtained equation is even erected by mouth equation, and then obtains the DIFFERENCE EQUATIONS of electrical system.
(1) electrical system model
The model of synchronous generator, the model of each network element need to be established when establishing electrical system model respectively, then by them It is combined.
1, the mathematical model and differencing of synchronous generator
After the Parker coordinate transform of abc coordinate to dq0 coordinate, the electromagnetic equation group of synchronous generator is as follows:
(3-5)
(3-6)
(3-7)
(3-8)
(3-9)
Formula (3-5) is the voltage equation of stator winding, and formula (3-6) is the voltage equation of rotor windings, and formula (3-7) isAxis magnetic Chain equation, formula (3-8) areAxis flux linkage equations, formula (3-9) are zero sequence coil flux linkage equations[27].Reactance symbol is used in formulaTable Show inductance coefficent.Inductance coefficentFor stator windingAxis,Axis synchronous inductance coefficient and zero sequence inductance coefficent.For the inductance coefficent of each winding of rotor.Inductance coefficent with double subscript is between stator winding and rotor windings or rotor Mutual inductance between winding.SubscriptIndicate stator winding.In formulaWithRespectively indicate stator winding, excitation around Group andThe resistance of axis Damper Winding.
The fundamental equation (wouldn't count transient state component) of synchronous generator can also be written as
(3-10)
(3-11)
Wherein
Formula (3-10) is six voltage equations (differential equation), and formula (3-11) is six flux linkage equations (algebraic equation).In order to make Calculating process is succinct as far as possible, formula (3-11) can be substituted into formula (3-10), eliminate six magnetic linkage variables, equation resulting in this way is
+()= (3-12)
Wherein
Differencing is carried out to formula (3-12) below.For such equation group containing vector sum matrix, difference rule has at 3 points:
1) vector of differential operator is hadWithIt substitutes into;
2) without the vector of differential operatorWith
3) constant coefficient matrix or constant column vector remain unchanged.
It is after formula (3-12) differencing
After collated, have
(3-13)
Wherein
VectorIn each element be respectively
Formula (3-13) is the difference form of Park equation.If ignoring one or several in six windings, Park equation And its difference form is identical with (formula 3-10), formula (3-11), formula (3-13).
2, the DIFFERENCE EQUATIONS of electrical system
(1) model of resistance and inductance element
Referring to Fig. 3, after three-phase resistance R and inductance element shown in Fig. 3 are connected, the differential equation in 0 coordinate be
(3-14)
With
(3-15)
The present invention does not consider the case where asymmetrical three-phase, therefore negligible, zero sequence equation in 0 coordinate.For resistance、 InductanceSeries arm, be based on hiding-trapezium integral method, difference equation can be derived by formula (3-14) for
(3-16)
Wherein
(3-17)
After formula (3-16) is collated
= + (3-18)
Wherein
(3-19)
(3-20)
(2) model of capacity cell
For the capacity cell C in Fig. 2 (b), both end voltage is respectivelyWith.As shown in Figure 4With The relationship of generalized phasor, in figureFor unlimited large power supply voltage phaseIn generatorProjection on axis.
Referring to fig. 4, under disturbance, the revolving speed of generator amature wants offrating, therefore power infinity supply voltage phase Amount'sComponent is not just constant.The figure is the phasor diagram before disturbance, take in figure withConstant rotationIt sits TargetAxis and set end voltageIt is overlapped.When calculating initial modeAxis withBetween phase angle be,Axis withBetween centers Phase angle is, generalized phasor?It is projected as on axis
(3-21)
The a certain momentIt can be found out by rotor (shafting) equation of motion.
The differential equation of capacity cell is
(3-22)
After above formula differencing, there is following form
= + (3-23)
Wherein
(3-24)
(3-25)
Generator port equation is
= + (3-26)
By formula (3-18), (3-23), (3-26) simultaneous, variable is eliminated, obtain following linear equation group
(3-27)
(2) mechanical system model
The model for establishing mechanical system is mainly the mathematical model for establishing steam-electric generating set shafting, is then carried out with electrical system Joint solves.
1, the DIFFERENCE EQUATIONS of mechanical system
The differential equation matrix form of shafting is
(3-28)
(3-29)
Wherein
By formula (3-28), formula (3-29) differencing, obtain
(3-30)
(3-31)
Wherein
If disregarding the influence of governor,Outside, rest part is fixed to the 5th element (negative value of electromagnetic torque) in vector Value.
For the order for reducing equation group, formula (3-31) is substituted into formula (3-30), is eliminated, obtain
(3-32)
Or it is write as
(3-33)
Wherein
Mechanical system equation is being solved, can first found out by formula (3-32), then found out by formula (3-31)
2, shafting mechanical system and electrical system combine solution
Because electrical system and shafting mechanical system are interactions, electrical system acts on mechanical system by electromagnetic torque System, mechanical system then pass through generator amature angleAnd angular speedInfluence electrical system[28].The calculation formula of electromagnetic torque For
(3-34)
In the equation of mechanical system, it is reflected in formula (3-32)In, becauseIn the 5th member Element is respectively, and
(3-35)
Magnetic linkageByIt is calculated.
Generator amature angleInfluence to electrical system is reflected in formula (3-24), in (3-25), its calculation formula is (3-21).Generator speedInfluence to electrical system is reflected in stator In the equation of voltage equation, capacity cell and inductance element.Then in certain time periodCalculating process in, can be with It is so approximate that thinkOr can be expressed as
(3) initial value calculates
Shafting mechanical system needs to know that some necessary parameters, these parameters include power generation with electrical system when combining solution Machine operating parameter, mechanical system initial value, electrical system initial value etc..These initial values will be calculated separately below.
1, generator operating parameter initial value calculates
Generator operating parameter initial value is calculated, i.e., normal operating mode parameter can be using the phasor diagram in Fig. 5 before calculating failure.
After total system Load flow calculation, there is the voltage of each generator nodeAnd Injection Current.Enable voltage and The real part of electric current phasor, imaginary part areWith, i.e.,
(3-36)
Then generator's power and angleFor
(3-37)
In formulaFor the resistance of generator unit stator winding.Voltage, electric currentAxis component is
(3-38)
(3-39)
Each rotor winding current initial value of generator is
(3-40)
Each winding magnetic linkage initial value of generator can be calculated with flux-linkage equations (3-7) and formula (3-8).
2, mechanical system initial value calculates
The initial value of mechanical system includes each section of shafting of angle, angular speedAnd applied moment.It is assumed thatShi Fa electricity Machine is in steady-state operation, and at this moment each section of shafting of angular speed is equal, i.e.,
(3-41)
Steam turbine motive power square summation is, itBetween distribute by a certain percentage.If moment of face exists Allocation proportion on this four mass blocks is followed successively by, then
Moment of face on a mass block is, andFollowing relationship should be met+++=1。 Torque on exciter rotor is generally ignored, i.e.,.In addition to thisFor
When steady-state operation,It determines as the following formula
I.e. (3-42)
Generator amature angleIt is provided by the initial value of electrical system, calculation formula is (3-32).According toInitial value, The initial value of each mass block angle can be further calculated.For convenience, the angle first calculated between two neighboring mass block is inclined Difference
(3-43)
And there is following relationship
(3-44)
3, electrical system initial value calculates
Inductance, capacitorIn electric current it is equal with generator unit stator electric current, therefore only need the voltage initial value of calculate node 2,3.Such as Shown in Fig. 6.
It is enabled in formula (3-10), then have
(3-45)
It is enabled in formula (3-18), and after being subject to arrangement, it obtains
(3-46)
Fig. 6 interior joint 3 is unlimited large power supply, and voltage magnitude is
(3-47)
Generalized phasorWithBetween angle be
(3-48)
Two, calculate and export the Digital Simulation figure of steam turbine generator hyposynchronous resonance of power system
Next, being programmed on the basis of model has been established using Matlab software, and realized according to the process of attached drawing 1 Subsynchronous resonance Digital Simulation calculates.
It is described as follows about what is flowed chart above:
1, the initial data read in includes generator Equivalent Circuit Parameter, resistance R, inductance (positive sequence) L, capacitor C, time interval, maximum simulation time, generator output, set end voltage, axis rigidity, damping, inertia constant etc..
2, when calculating electrical system initial value, fractional increments need to be assigned to any variable, the present invention is to unlimited high-power system VoltageIt is assigned to fractional increments.
3, mechanical system initial value calculates the angle including each shaft part, angular speedAnd applied moment
4, electrical system acts on mechanical system by electromagnetic torque, therefore accrued first when calculating machine system equation group Calculate electromagnetic torque.
Three, simulation example and interpretation of result
As shown in Fig. 2, generator parameter is listed in table 4-1, shafting parameter is listed in table 4-2 system wiring to be studied.Power transmission network The related parameter of network is marked in Fig. 2.It is a length of when emulation [29]
System shown in Figure 2 electric part resonance frequency approximation is
Hz
Wherein,Hz
In the natural torsion frequency of shafting, having one is=31.25Hz, due to60Hz, therefore have Subsynchronous resonance may occur.
Fig. 7 gives system above simulation result.For shafting low pressure (LP) cylinderRotor and generator amatureBetween torque, alternative frequency is aboutIt is close, beHz。For the variable quantity of torque.
From figure 7 it can be seen that occur phenomenon of torsional vibration in the shafting of system, and change in torque amount is in divergent trend, with The growth of time, torque is increasing, this will shafting to system generate grave danger safely.
In order to preferably study this phenomenon, now change the influence factor that certain parameters carry out further investigated subsynchronous resonance.
1, change the resistance of power transmission network.
All parameters select per unit value in network, and power transmission network resistance is in Fig. 7, when in power transmission network Resistance is respectivelyWhen, simulation result is as follows:
Comprehensive analysis Fig. 7, Fig. 8, Fig. 9, Figure 10, Figure 11, Figure 12 it is found that influence of the resistance to oscillation of power transmission network is bigger, When in Fig. 2It is smaller,Diverging is faster,It is bigger,It dissipates slower.WhenWhen,It does not dissipate substantially, Illustrate that at this moment system has sufficiently large damping.It follows that the resistance value of power transmission network is suitably chosen, it is same to inhibition time Step resonance phenomena is of great significance.
2, change the resistance value of series compensation capacitance.
Change series compensation capacitance resistance value be change network in series capacitance series compensation degrees (), in Fig. 7, compensation Degree
(1) now by capacitive reactanceIt is changed to, compensativity, electric part at this time is humorous Vibration frequency is
Hz
Wherein,Hz
In the natural torsion frequency of shafting, having one is=32.15Hz, due toHz, therefore having can Subsynchronous resonance can occur.Simulation result is as shown in figure 13.
(2) now by capacitive reactanceIt is changed to, compensativity, electric part at this time is humorous Vibration frequency is
Hz
Wherein,Hz
In the natural torsion frequency of shafting, having one is=35.67Hz, due toHz, therefore having can Subsynchronous resonance can occur.Simulation result is as shown in figure 14.
(3) now by capacitive reactanceIt is changed to, compensativity, such as Figure 15 of simulation result at this time It is shown.As can be seen that subsynchronous resonance phenomenon does not occur substantially.
(4) now by capacitive reactanceIt is changed to, compensativity, simulation result at this time is as schemed Shown in 16.As can be seen that subsynchronous resonance phenomenon does not occur in system substantially at this time.
Further analysis is it is known that be directed to this system, when series compensation degree is in the range of 55% ~ 59%, electrical resonance Frequency can preferably avoid shafting nature torsion frequency, to avoid the generation of subsynchronous resonance phenomenon.
In summary analysis is it is found that the parameter and change series capacitor compensation degree of change power transmission network can be to subsynchronous humorous Vibration phenomenon generates certain influence.
When resistance is bigger than normal in power transmission network, transmission line loss will increase, be unfavorable for promoting the economy of transmission of electricity. When resistance is less than normal, cause system damping smaller, if subsynchronous resonance phenomenon occurs, the destruction of shaft can be aggravated. Therefore, the method studied through the invention selects suitable resistance, and then promotes the economy and maintenance steamer of transmission of electricity The stability of Generator electrical system is of great significance.
The subsynchronous resonance phenomenon occurred in steam turbine generator electric system is caused by inappropriate series compensation capacitance , therefore it is directed to specific system, select suitable compensativity that there is weight for maintenance steam turbine generator stability of power system Meaning is wanted, only in this way could preferably play series capacitor compensation for the huge work of raising transmission distance and transmission line capability With.

Claims (5)

1. a kind of digital simulation method of steam turbine generator hyposynchronous resonance of power system, step include:
(1) mathematical model of steam turbine generator electric system is established;(2) initial data is read in;(3) electrical system initial value is calculated, And fractional increments are assigned to aleatory variable;(4) calculating machine system initial value;(5) setting time initial value t;(6) electric system is solved Equation group;(7) Te is calculated, and solves mechanical system equation group, exports related result;(8) time t is reset into t+, whereinFor preset time interval;(9) judge whether t exceeds threshold value tmax, if it is not, repeat step (5)~(8), until meet t > =tmax;(10) simulation figure is exported.
2. the digital simulation method of steam turbine generator hyposynchronous resonance of power system according to claim 1, feature exist In: it is described that be assigned to fractional increments to aleatory variable include to unlimited high-power system voltageIt is assigned to fractional increments.
3. the digital simulation method of steam turbine generator hyposynchronous resonance of power system according to claim 1, feature exist In: the initial value of the mechanical system includes the angle of each shaft part, angular speedAnd applied moment
4. the digital simulation method of steam turbine generator hyposynchronous resonance of power system according to claim 1, feature exist In: the time initial value t=0.008s.
5. the digital simulation method of steam turbine generator hyposynchronous resonance of power system according to claim 1, feature exist In: the time interval=0.008s。
CN201811285739.6A 2018-10-31 2018-10-31 A kind of digital simulation method of steam turbine generator hyposynchronous resonance of power system Pending CN109103905A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112798954A (en) * 2020-12-29 2021-05-14 歌尔股份有限公司 Detection method and device for vibration motor

Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104978625A (en) * 2015-06-10 2015-10-14 清华大学 Convergence RLC circuit model-based method for analyzing subsynchronous resonance in power system

Patent Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104978625A (en) * 2015-06-10 2015-10-14 清华大学 Convergence RLC circuit model-based method for analyzing subsynchronous resonance in power system

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
郭莉萨: "电力系统次同步振荡非线性行为分析及其控制", 《中国优秀硕士学位论文全文数据库工程科技Ⅱ辑》 *

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112798954A (en) * 2020-12-29 2021-05-14 歌尔股份有限公司 Detection method and device for vibration motor
CN112798954B (en) * 2020-12-29 2022-06-21 歌尔股份有限公司 Detection method and device for vibration motor

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Application publication date: 20181228