CN107975458A - A kind of analogy method of the wind energy conversion system Flexible Transmission characteristic based on torque closed-loop control - Google Patents

A kind of analogy method of the wind energy conversion system Flexible Transmission characteristic based on torque closed-loop control Download PDF

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CN107975458A
CN107975458A CN201711120214.2A CN201711120214A CN107975458A CN 107975458 A CN107975458 A CN 107975458A CN 201711120214 A CN201711120214 A CN 201711120214A CN 107975458 A CN107975458 A CN 107975458A
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mrow
msub
torque
energy conversion
wind energy
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CN107975458B (en
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郭鸿浩
贾艺典
郭前岗
曾华洁
吕鹏程
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Nanjing Post and Telecommunication University
Nanjing University of Posts and Telecommunications
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F03MACHINES OR ENGINES FOR LIQUIDS; WIND, SPRING, OR WEIGHT MOTORS; PRODUCING MECHANICAL POWER OR A REACTIVE PROPULSIVE THRUST, NOT OTHERWISE PROVIDED FOR
    • F03DWIND MOTORS
    • F03D17/00Monitoring or testing of wind motors, e.g. diagnostics
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F03MACHINES OR ENGINES FOR LIQUIDS; WIND, SPRING, OR WEIGHT MOTORS; PRODUCING MECHANICAL POWER OR A REACTIVE PROPULSIVE THRUST, NOT OTHERWISE PROVIDED FOR
    • F03DWIND MOTORS
    • F03D7/00Controlling wind motors 
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F05INDEXING SCHEMES RELATING TO ENGINES OR PUMPS IN VARIOUS SUBCLASSES OF CLASSES F01-F04
    • F05BINDEXING SCHEME RELATING TO WIND, SPRING, WEIGHT, INERTIA OR LIKE MOTORS, TO MACHINES OR ENGINES FOR LIQUIDS COVERED BY SUBCLASSES F03B, F03D AND F03G
    • F05B2260/00Function
    • F05B2260/84Modelling or simulation
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F05INDEXING SCHEMES RELATING TO ENGINES OR PUMPS IN VARIOUS SUBCLASSES OF CLASSES F01-F04
    • F05BINDEXING SCHEME RELATING TO WIND, SPRING, WEIGHT, INERTIA OR LIKE MOTORS, TO MACHINES OR ENGINES FOR LIQUIDS COVERED BY SUBCLASSES F03B, F03D AND F03G
    • F05B2270/00Control
    • F05B2270/10Purpose of the control system
    • F05B2270/103Purpose of the control system to affect the output of the engine
    • F05B2270/1032Torque
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E10/00Energy generation through renewable energy sources
    • Y02E10/70Wind energy
    • Y02E10/72Wind turbines with rotation axis in wind direction
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02PCLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
    • Y02P70/00Climate change mitigation technologies in the production process for final industrial or consumer products
    • Y02P70/50Manufacturing or production processes characterised by the final manufactured product

Abstract

The invention discloses a kind of analogy method of the wind energy conversion system Flexible Transmission characteristic based on torque closed-loop control, including:Two mass block equivalent models are established, consider the coefficient of elasticity and damped coefficient of high speed shaft, establish the equation of motion of Flexible Transmission model when generator is connected with wind energy conversion system;Establish the equation of motion that generator is connected with simulated machine;Machine torque, the rotating speed for the stiff shaft transmission that generator is connected with simulated machine, machine torque, the rotating speed of its high speed shaft transmission are equal when should be connected with generator and wind energy conversion system substitutes into the equation of motion established by condition and carries out Laplace transformation, equation with three unknowns group is obtained, and real-time resolving obtains simulated machine torque and is used as torque reference value;Torque closed-loop control is carried out to simulated machine group, simulated machine torque reference value is followed in real time to reappear the torque, realizes the simulation of Flexible Transmission wind-force dynamics.The present invention can more accurately make laboratory simulation motor reappear the static and dynamic performance of actual wind energy conversion system Flexible Transmission.

Description

A kind of analogy method of the wind energy conversion system Flexible Transmission characteristic based on torque closed-loop control
Technical field
The present invention relates to a kind of analogy method of the wind energy conversion system Flexible Transmission characteristic based on torque closed-loop control, belong to permanent magnetism The technical field of motor control.
Background technology
The torque/speed characteristic that wind energy conversion system simulation system is exported using the true wind field environment apparatus for lower wind machine of electromotor simulation, To drive wind-driven generator to run.Limited since simulation system experiment is low compared to the cost of wind field experiment, and from natural environment, Experiment condition can be flexibly set, drastically increases Efficiency, strong guarantor is provided for the birth and application of new technology Barrier, therefore wind energy conversion system simulation system becomes the basis that wind generating technology research is carried out under laboratory environment.Existing wind energy conversion system Simulation system is limited be subject to experiment condition and experiment safety, is usually all simulated using low power motor low power Wind energy conversion system, and since the mechanical time constant of small-power wind energy conversion system in itself is less than high-power MW grades of wind energy conversion system so that it is to wind speed High-power wind mill will be significantly faster than that with the response speed of load change, therefore in the simulation designed for small-power wind energy conversion system When master control system is developed in system, obtained control parameter is difficult to directly apply to high-power wind turbine unit.
To make simulation system experiment not only need simulation system to be exported in stable state closer to the experimental conditions of actual wind field The due torque of real system and power characteristic, with greater need in wind speed or load disturbance, reappear real system dynamic torque, Rotation speed change process.Comparatively speaking, the simulation of steady-state characteristic is easier to, but the reproduction of Dynamic Speed change procedure then will be complicated It is more.It is more using rigid transmission system as simulated object that the Dynamic Simulation technology of report is seen at present, emphasis solution wind energy conversion system The Dynamic Speed difference problem brought with motor rotation inertia difference, have ignored the elastic deformation of transmission shaft.But work as wind-force There are during step-up gear in the transmission system of machine and generator, driving-chain certainly exists certain between wind energy conversion system and generator Flexibility, Flexible Transmission will produce the torque oscillation in unit transient process, transient stability of this characteristic for Wind turbines Property has large effect, can change transient process duration and the transient stability margin of unit.
In addition, in terms of wind energy conversion system Dynamic Simulation strategy, the method typically now used has the mould of velocity close-loop control Intend strategy, directly with Dynamic Speed target in order to control, high requirement, Er Qie not only are proposed to simulated machine speed loop bandwidth Real-time Feedback generator torque is needed when resolving the equation of motion, causes to lack independence between simulated machine and generator, these Problem all limits the popularization and use of speed closed loop simulation strategy.
The content of the invention
The technical problems to be solved by the invention are that overcoming the deficiencies of the prior art and provide one kind is based on torque closed loop control The analogy method of the wind energy conversion system Flexible Transmission characteristic of system, solves to ignore flexible in existing simulation and simply regard transmission shaft as Rigidity carries out Wind turbines simulation, the problem of by larger simulation error is brought.Wind energy conversion system of the invention by Flexible Transmission characteristic Simulation is combined with torque closed-loop simulation strategy, using the method for parameter contracting ratio, more accurately reappears laboratory simulation motor Go out the stable state and transient characterisitics of actual high-power wind mill.
It is of the invention that above-mentioned technical problem is specifically solved using following technical scheme:
A kind of analogy method of the wind energy conversion system Flexible Transmission characteristic based on torque closed-loop control, comprises the following steps:
Step 1, establish by wind energy conversion system and gear-box, generating set into mass block equivalent model;Hair will be connected in model The transmission shaft of motor and wind energy conversion system is as high speed shaft and considers its coefficient of elasticity and damped coefficient, establishes generator and connects with wind energy conversion system The equation of motion of Flexible Transmission model when connecing;
It is step 2, the simulated machine and generator that are selected according to generator speed scope is coaxially connected by stiff shaft, build Equation of motion when vertical generator is connected with simulated machine;
Step 3, the machine torque that the stiff shaft is transmitted, rotating speed should be with mass block equivalent model high speed axis transmission Equal machine torque, rotating speed are condition, substitute into the equation of motion that step 1 and step 2 are established and simultaneously carry out Laplace transformation, obtain on Torque and the equation with three unknowns group of rotating speed, and the real-time resolving equation with three unknowns group obtains simulated machine torque and is used as torque reference Value;
Step 4, carry out torque closed-loop control to simulated machine, follows simulated machine torque reference value to reappear this turn in real time Square, realizes the simulation of Flexible Transmission wind-force dynamics.
Further, as a preferred technical solution of the present invention:The generator that the step 1 is established connects with wind energy conversion system The equation of motion of Flexible Transmission model when connecing is:
Wherein, Ω 'wtFor the high speed shaft reduced value of wind energy conversion system rotating speed;ΩgFor generator speed, i.e. high speed rotating speed;θ′wt Value after being converted for wind energy conversion system mechanical angle toward high speed shaft;θgFor the mechanical angle of generator amature, and two angles and machinery Rotating speed meets relation:dθ′wt/ dt=Ω 'wt, d θg/ dt=Ωg;J′wt、B′wtConverted for wind energy conversion system rotary inertia and friction coefficient To the value of high speed shaft;Jg、BgFor generator rotary inertia and friction coefficient;T′wtFor wind energy conversion system pneumatic torque conversion to high speed shaft Value;TgFor generator torque;Ktg、BtgRepresent the coefficient of elasticity and damped coefficient of high speed shaft;Ths_wtFor the machine of high speed shaft transmission Tool torque.
Further, as a preferred technical solution of the present invention:The generator and simulated machine that the step 2 is established Equation of motion during connection is:
Wherein, Ths_m、ΩmThe machine torque and rotating speed of stiff shaft transmission when being connected for generator with simulated machine;TemFor Simulated machine electromagnetic torque;Bm、JmFor simulated machine friction coefficient and rotary inertia;Jg、BgFor generator rotary inertia and friction Coefficient;TgFor generator torque.
Further, as a preferred technical solution of the present invention:The machinery of stiff shaft transmission described in the step 3 Torque, rotating speed should be equal with machine torque, the rotating speed of mass block equivalent model high speed axis transmission, are specially:
Ths_m=Ths_wt=Ths
Ωmg
Wherein, Ths_mAnd ΩmMachine torque, the rotating speed of stiff shaft transmission, T are represented respectivelyhs_wtAnd ΩgPower generation is represented respectively Machine
The machine torque of its high speed shaft transmission, rotating speed when being connected with wind energy conversion system;ThsRefer to machine torque, rotating speed with Ω.
Further, as a preferred technical solution of the present invention:The step 3 obtains three on torque and rotating speed First equation group, is specially:
Wherein, Ω 'wtFor the high speed shaft reduced value of wind energy conversion system rotating speed;T′wtFor wind energy conversion system pneumatic torque conversion to high speed shaft Value;J′wt、B′wtThe value to high speed shaft is converted for wind energy conversion system rotary inertia and friction coefficient;Ktg、BtgRepresent the elasticity of high speed shaft Coefficient and damped coefficient;TemFor simulated machine electromagnetic torque;Bm、JmFor simulated machine friction coefficient and rotary inertia;ThsAnd Ω For the value in previous step, s is Laplace operator.
The present invention uses above-mentioned technical proposal, can produce following technique effect:
Torque closed-loop simulation method of the present invention, is unfolded mainly for the rotary inertia difference of wind energy conversion system and motor Research, the motor torque produced needed for desired speed is directly calculated by certain algorithm, then speed ring can be omitted, so that simple Change the control of simulated machine, but existing research is mostly the situation based on rigid shaft, the wind of the invention by Flexible Transmission characteristic The simulation of power machine is combined with torque closed-loop simulation strategy, laboratory simulation motor is reappeared the dynamic of actual wind energy conversion system Static characteristic.
This analogy method considers the flexible characteristic of transmission shaft in actual set, the transmission shaft of simulation unit is shown and reality The consistent torsional oscillation characteristic of border unit, solves to ignore flexible in existing simulation and simply regard transmission shaft as rigid progress Wind turbines are simulated, the problem of by larger simulation error is brought.
Brief description of the drawings
Fig. 1 is the wind energy conversion system Flexible Transmission system for simulating feature block diagram of the invention based on torque closed-loop control.
Fig. 2 (a) is 2 mass block equivalent model figures of the invention;Fig. 2 (b) is to lean on high speed axis connection between two mass blocks of the invention Schematic diagram.
Fig. 3 is simulated machine and generator connection figure in the present invention.
Embodiment
Embodiments of the present invention are described with reference to Figure of description.
The present invention proposes a kind of analogy method of the wind energy conversion system Flexible Transmission characteristic based on torque closed-loop control, this method institute The wind energy conversion system Flexible Transmission system for simulating feature of use is as shown in Figure 1, servo-actuated including model and simulation strategy part, electromechanics Part and three parts of generator and generator control, wherein model and simulation strategy part are modeled including Wind speed model, wind-force Machine torque model models and torque referenceCalculate three parts;Electromechanical phantom element includes torque closed loop control module, drives Dynamic model block, three-phase full bridge converters and simulated machine etc..
Shown in the analogy method schematic diagram 1 of the present invention, following steps are specifically included:
Step 1, with reference to actual set characteristic, as wind energy conversion system and gear-box are equivalent to a mass block, generator by Fig. 2 (a) Another mass block is equivalent to, establishes 2 mass block equivalent models of actual set, by being driven axis connection between two mass blocks, and should Transmission shaft shown in its structure such as Fig. 2 (b), considers the coefficient of elasticity K of actual set high speed shaft as high speed shafttgAnd damped coefficient Btg, the equation of motion of Flexible Transmission model when generator is connected with wind energy conversion system is established, is driven flexible then equivalent at a high speed Axis, compared with stiff shaft, adds high speed shaft coefficient of elasticity KtgWith transmission shaft friction coefficient Btg
The coefficient of elasticity K of combination wind energy conversion system and generator the unit high speed axistgWith damped coefficient Btg, the hair of foundation The equation of motion of Flexible Transmission model when motor is connected with actual wind energy conversion system is:
Equation group is obtained by Laplace transformation and after exchanging equation order:
Wherein, Ω 'wtFor the high speed shaft reduced value of wind energy conversion system rotating speed;ΩgFor generator speed, i.e. high speed rotating speed;θ′wt Value after being converted for wind energy conversion system mechanical angle toward high speed shaft;θgFor the mechanical angle of generator amature, and two angles and machinery Rotating speed meets relation:dθ′wt/ dt=Ω 'wt, d θg/ dt=Ωg;J′wt、B′wtConverted for wind energy conversion system rotary inertia and friction coefficient To the value of high speed shaft;Jg、BgFor generator rotary inertia and friction coefficient;T′wtFor wind energy conversion system pneumatic torque conversion to high speed shaft Value;TgFor generator torque;Ktg、BtgRepresent the coefficient of elasticity and damped coefficient of high speed shaft;Ths_wtFor the machine of high speed shaft transmission Tool torque, s are Laplace operator.
Step 2, the simulated machine and generator that are selected according to generator speed scope is coaxially connected by stiff shaft, hair Motor is connected with simulated machine as shown in figure 3, establishing the movement of simulated machine and generator when generator is connected with simulated machine Equation.Specially:
Wherein, Ths_m、ΩmThe machine torque and rotating speed of stiff shaft transmission when being connected for generator with simulated machine;TemFor Simulated machine electromagnetic torque;Bm、JmFor simulated machine friction coefficient and rotary inertia;Jg、BgFor generator rotary inertia and friction Coefficient;TgFor generator torque.
Step 3, be to ensure that the machine torque of real system and simulation system transmission shaft transmission is equal, makes the biography of simulation unit Moving axis shows the torsional oscillation consistent with actual set, that is, when being simulated, when setting generator is connected with simulated machine, its The machine torque T of stiff shaft transmissionhs_m, rotating speed Ωm, the machine torque of high speed shaft transmission when should be connected with generator and wind energy conversion system Ths_wt, rotating speed ΩgEqual, its value is respectively:
Ths_m=Ths_wt=Ths
Ωmg=Ω (4)
Wherein, ThsRefer to machine torque, rotating speed with Ω.
Then, the formula (4) of the setting condition is substituted into Flexible Transmission model sport when generator is connected with wind energy conversion system The equation of motion (3) when equation (1) is connected with generator with simulated machine simultaneously carries out Laplace transformation, obtains on Ω 'wt、Ths、 TemEquation with three unknowns group it is as follows:
Also, the real-time resolving equation with three unknowns group (5), can obtain simulated machine torque TemAnd it is used as torque reference value And the formula according to equation with three unknowns group (5):
Tem=Ths_m+(Jms+Bmm (6)
And simulated machine and generator meet equation:
Tem-Tg=[(Jm+Jg)s+(Bm+Bg)]Ωm (7)
Simultaneous two above equation (6) and (7), obtain the torque T on simulation unit transmission shafths_mMeet:
Ths_m-Tg=(Jgs+Bgm (8)
And understood according to equation with three unknowns group (5):
Ths_m=(Btg+Ktg/s)(Ω'wtm)
Ω'wt=(T'wt-Ths_m)/(J'wts+B'wt) (9)
Generating unit speed is simulated and mathematical relationship that torque is shown to be carried under simulation strategy in the equation group (8), (9).
Step 4, the simulated machine carry out torque closed-loop control, follow simulated machine torque reference value in real timeWith reproduction The torque, realizes the simulation of Flexible Transmission wind-force dynamics.
The equation of motion of Flexible Transmission model when the formula (2) of the step 1 is generator and wind energy conversion system connection and side Rotating speed when journey group (7), the generator of (8) simultaneous are connected with simulated machine is consistent with torque relationship form.Then in phase Under same input, identical output valve can be obtained, simulation unit can reappear the static and dynamic performance of actual wind energy conversion system, illustrate this hair Bright carried analogy method is feasible, correct.
To sum up, torque closed-loop simulation method of the present invention, it is poor mainly for the rotary inertia of wind energy conversion system and motor Different expansion research, the motor torque produced needed for desired speed is directly calculated by certain algorithm, then can omit speed ring, So as to simplify the control of simulated machine, the wind energy conversion system of Flexible Transmission characteristic is simulated and is combined with torque closed-loop simulation strategy, more Laboratory simulation motor is reappeared the static and dynamic performance of actual wind energy conversion system exactly, realize the mould of Flexible Transmission feature of wind machine Intend.
Embodiments of the present invention are explained in detail above in conjunction with attached drawing, but the present invention is not limited to above-mentioned implementation Mode, within the knowledge of a person skilled in the art, can also be on the premise of present inventive concept not be departed from Make a variety of changes.

Claims (5)

1. a kind of analogy method of the wind energy conversion system Flexible Transmission characteristic based on torque closed-loop control, it is characterised in that including following Step:
Step 1, establish by wind energy conversion system and gear-box, generating set into mass block equivalent model;Generator will be connected in model As high speed shaft and its coefficient of elasticity and damped coefficient are considered with the transmission shaft of wind energy conversion system, when establishing generator and being connected with wind energy conversion system Flexible Transmission model the equation of motion;
Step 2, the simulated machine and generator that are selected according to generator speed scope is coaxially connected by stiff shaft, foundation hair Equation of motion when motor is connected with simulated machine;
Step 3, the machine torque that the stiff shaft is transmitted, rotating speed should be with the machineries of mass block equivalent model high speed axis transmission Torque, equal rotating speed are condition, substitute into the equation of motion that step 1 and step 2 are established and carry out Laplace transformation, obtain on torque With the equation with three unknowns group of rotating speed, and the real-time resolving equation with three unknowns group obtains simulated machine torque and is used as torque reference value;
Step 4, carry out torque closed-loop control to simulated machine, follows simulated machine torque reference value in real time to reappear the torque, Realize the simulation of Flexible Transmission wind-force dynamics.
2. the analogy method of the wind energy conversion system Flexible Transmission characteristic based on torque closed-loop control according to claim 1, its feature It is:The equation of motion of Flexible Transmission model is when the generator that the step 1 is established is connected with wind energy conversion system:
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Wherein, Ω 'wtFor the high speed shaft reduced value of wind energy conversion system rotating speed;ΩgFor generator speed, i.e. high speed rotating speed;θ′wtFor wind Power machine mechanical angle toward high speed shaft convert after value;θgFor the mechanical angle of generator amature, and two angles and mechanical separator speed Meet relation:dθ′wt/ dt=Ω 'wt, d θg/ dt=Ωg;J′wt、B′wtConverted for wind energy conversion system rotary inertia and friction coefficient to height The value of fast axis;Jg、BgFor generator rotary inertia and friction coefficient;T′wtFor the value of wind energy conversion system pneumatic torque conversion to high speed shaft; TgFor generator torque;Ktg、BtgRepresent high speed shaft coefficient of elasticity and damped coefficient;Ths_wtFor the machine torque of high speed shaft transmission.
3. the analogy method of the wind energy conversion system Flexible Transmission characteristic based on torque closed-loop control according to claim 1, its feature It is:The equation of motion when generator that the step 2 is established is connected with simulated machine is:
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Wherein, Ths_m、ΩmThe machine torque and rotating speed of stiff shaft transmission when being connected for generator with simulated machine;TemFor simulation electricity Electromechanical magnetic torque;Bm、JmFor simulated machine rotary inertia and friction coefficient;Jg、BgFor generator rotary inertia and friction coefficient;Tg For generator torque.
4. the analogy method of the wind energy conversion system Flexible Transmission characteristic based on torque closed-loop control according to claim 1, its feature It is:The machine torque of stiff shaft transmission, rotating speed described in the step 3 should be with mass block equivalent model high speed axis transmission Machine torque, rotating speed are equal, are specially:
Ths_m=Ths_wt=Ths
Ωmg
Wherein, Ths_mAnd ΩmMachine torque, the rotating speed of stiff shaft transmission, T are represented respectivelyhs_wtAnd ΩgRespectively represent generator and Machine torque, the rotating speed of its high speed shaft transmission when wind energy conversion system connects;ThsRefer to machine torque, rotating speed with Ω.
5. the analogy method of the wind energy conversion system Flexible Transmission characteristic based on torque closed-loop control according to claim 1, its feature It is:The step 3 obtains the equation with three unknowns group on torque and rotating speed, is specially:
<mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <msup> <mi>&amp;Omega;</mi> <mo>&amp;prime;</mo> </msup> <mrow> <mi>w</mi> <mi>t</mi> </mrow> </msub> <mo>=</mo> <mrow> <mo>(</mo> <msub> <msup> <mi>T</mi> <mo>&amp;prime;</mo> </msup> <mrow> <mi>w</mi> <mi>t</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>T</mi> <mrow> <mi>h</mi> <mi>s</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>/</mo> <mrow> <mo>(</mo> <msub> <msup> <mi>J</mi> <mo>&amp;prime;</mo> </msup> <mrow> <mi>w</mi> <mi>t</mi> </mrow> </msub> <mi>s</mi> <mo>+</mo> <msub> <msup> <mi>B</mi> <mo>&amp;prime;</mo> </msup> <mi>w</mi> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>T</mi> <mrow> <mi>h</mi> <mi>s</mi> </mrow> </msub> <mo>=</mo> <mrow> <mo>(</mo> <msub> <mi>B</mi> <mrow> <mi>t</mi> <mi>g</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>K</mi> <mrow> <mi>t</mi> <mi>g</mi> </mrow> </msub> <mo>/</mo> <mi>s</mi> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <msub> <msup> <mi>&amp;Omega;</mi> <mo>&amp;prime;</mo> </msup> <mrow> <mi>w</mi> <mi>t</mi> </mrow> </msub> <mo>-</mo> <mi>&amp;Omega;</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>T</mi> <mrow> <mi>e</mi> <mi>m</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>T</mi> <mrow> <mi>h</mi> <mi>s</mi> </mrow> </msub> <mo>+</mo> <mrow> <mo>(</mo> <msub> <mi>J</mi> <mi>m</mi> </msub> <mi>s</mi> <mo>+</mo> <msub> <mi>B</mi> <mi>m</mi> </msub> <mo>)</mo> </mrow> <mi>&amp;Omega;</mi> </mrow> </mtd> </mtr> </mtable> </mfenced>
Wherein, Ω 'wtFor the high speed shaft reduced value of wind energy conversion system rotating speed;T′wtFor the value of wind energy conversion system pneumatic torque conversion to high speed shaft; J′wt、B′wtThe value to high speed shaft is converted for wind energy conversion system rotary inertia and friction coefficient;Ktg、BtgRepresent the coefficient of elasticity of high speed shaft And damped coefficient;TemFor simulated machine electromagnetic torque;Bm、JmFor simulated machine friction coefficient and rotary inertia;S is Laplce Operator;ThsRefer to machine torque, rotating speed with Ω.
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