Friday, May 17, 2019
Reactive Power Based Rotor Resistance Estimation Engineering Essay
Abstract-In this paper, a elaborate survey on the manikin Reference Adaptive Controller ( MRAC ) utilize the reactive origin is presented for the on-line judgment of rotor coil confrontation to keep proper fall orientation course in an Indirect Vector Controlled Induction Motor Drive. Choice of reactive effect as the available campaigner in the MRAC automatically makes the musical arrangement immune to the fluctuation of stator face-off. Furthermore, the alone governance of The MRAC with the instantaneous and wet-state reactive magnate wholly eliminates the ingest of any course approximation in the procedure of calculation. Therefore, the rule is less sensitive to integrator-related jobs like impetus and impregnation ( necessitating no integrating ) . guise consequences have been presented to prolong the effectivity of the proficiency.THE verifying business line oriented ( IFO ) -controlled initiation ram ( IM ) thrust is widely use in high humans creatio n industry applications 1 , 2 due to its simpleness and fast changing response. However, feedforward accommodation of the faux pas frequence, which requires rotor opposition, makes this scheme dependant on machine parametric quantities. Of all the parametric quantities, the rotor opposition undergoes considerable fluctuation and if attention is non taken to counterbalance for the alteration, the liquify orientation is lost, turn up in matching between the d- and q-axes variables. As is good known, the yoke makes the exoteric display of the thrust agreement sulky. Attention is focused to implement field orientation by on-line appraisal of the machine parametric quantities 3 6 . Many on-line parametric criterion appraisal strategies ar available in literature 7 20 . They be loosely classified as followsSpectral analysis techniqueObserver establish techniquesModel character reference adaptive system based techniquesHeuristic methodsReactive creator based techn iqueIn one category of method, appraisal of rotor trim back changeless is do utilizing the spectral analysis techniques. This group of methods is based on the heedful response to a intentionally injected streak signal or an bing characteristic harmonic in the voltage/ flowing spectrum. Stator menstruations and electromotive ties of the repulse are sampled and the parametric quantities are derived from the spectral analysis of these samples. The 2nd categorization of rotor opposition designation scheme used observer based techniques. Most of the methods have used the Extended Kalman Filter, which is a computationally intense technique 11 and 12 .Loron and Laliberte describe the motor divinatory reckon and the development and tuning of an reach out Kalman filter ( EKF ) for parametric quantity appraisal during normal runing conditions without presenting any trial signals. The projectd method requires terminal and rotor velocity measurings and is utile for car tuning a n indirect field-oriented numberant or an adaptative direct field-oriented accountant. Zai, DeMarco, and Lipo propose a method for sensing of the reverse rotor clip changeless utilizing the EKF by handling the rotor clip changeless as the 5th state of matter variable along with the stator and rotor currents. The draw endorses are that this method is computationally intensive.The 3rd group of online rotor opposition version methods is based on rules of conjectural account mention adaptative control. This is the attack that has attracted nigh of the attending due to its comparatively simple death penalty demands 13 and 14 .In add-on to the above methods, there are in any case a a few(prenominal) techniques proposed which can non be classified in the above triad classs. These may be based on the measuring of steady province stator electromotive force, current and motor velocity, the rotor opposition can so be calculated algebraically from the equations derived. These method s are grouped to be Heuristic methods.The chief drawback for the above techniques is that the rotor coil granting immunity depends on vitamin D and q axis of rotation axis rotor flux which in bend depends on Stator Resistance. Therefore if any mistake occurs in the Stator Resistance, the truth of rotor flux deteriorates which in bend affects the truth of estimated rotor Resistance.Reactive source based rotor opposition reckoner 1 overcomes the disadvantage of above job. Choice of reactive power as the functional campaigner in the Model Reference Adaptive Controller ( MRAC ) automatically makes the system immune to the fluctuation of Stator Resistance. The alone formation of the MRAC with the instantaneous and steady-state reactive power eliminates the demand of any flux appraisal in the procedure of calculation.2. MRAS based rotor opposition appraisal for transmitter controlled initiation motor thrustsThe parametric quantity can be calculated by the supposititious account men tion adaptative system ( MRAS ) , where the end product of a mention theoretical account is compared with the end product of an adjustable or adaptative theoretical account until the mistakes between the two theoretical accounts vanishes to zero. The mistake signal is used to drive an adaptative mechanism ( PI or I controller ) which provides rectification of the rotor opposition. In MRAS, the works s response is coerce to track the response of a mention theoretical account, irrespective of the works s parametric quantity fluctuation and burden perturbation consequence. Such a system is defined as a iron system. The mention theoretical account may be fixed or adaptative.Choice of reactive power as the functional campaigner in the Model Reference Adaptive Controller ( MRAC ) automatically makes the system immune to the fluctuation of Stator Resistance. The alone formation of the MRAC with the instantaneous and steady-state reactive power wholly eliminates the demand of any flux app raisal in the procedure of calculation. Therefore, the method is independent of Stator Resistance appraisal and integrating impetus jobs. image 1 Basic construction of MRASIn the proposed MRAC ( Fig. 1 ) , the mention theoretical account and adjustable theoretical account compute instantaneous reactive power ( ) and steady-state reactive power ( ) severally. Note that the mention theoretical account is independent of slip frequence ( ) whereas the adjustable theoretical account depends on ( ) . The mistake signal ( ) is fed to the version mechanism block, which yields estimated slip velocity ( ) . rotor coil opposition ( ) is so computed from ( ) .2.1 Theoretical Development of the Proposed SchemeThe vitamin D and q axis electromotive forces for IM mentioning to the synchronously revolving ( Ie ) mention frame can be expressed as( 1 )( 2 )The instantaneous reactive power ( Q ) can be expressed as( 3 )Substituting ( 1 ) and ( 2 ) in ( 3 ) , the new spirit of Q is( 4 )It is worthwhil e to advert that the above looks of Q are free from stator opposition, which is a noteworthy characteristic of any reactive power-based strategy. In steady province the derivative footings are zero.Therefore, the look of estimated reactive power ( ) is obtained as reduces to( 5 )2.2 Evaluations and Parameters of Induction MotorThe parametric quantities of the initiation machine used for simulation are stipulation in the control panel shown below.Table 2.3 Parameters of 2.2KW 150V, 50Hz 6 Pole Induction MachineParametersValuessStator Resistance ( Rs )rotor coil Resistance ( Rr )Magnetizing Inductance ( Lm )Stator Inductance ( Ls )rotor coil Inductance ( Ls )Inertia Jtot coppice BRated CurrentRated Torque6.03I6.085I0.4893H0.5192H0.5192H0.007187Kgm20.0027Kgm2/s2.9Amps7.5Nm2.3 Simulation ConsequencesThe Performance of MRAS based rotor opposition calculator utilizing reactive power method for vector controlled initiation motor thrusts is analyzed with assort alterations in rotor oppo sition for the in operation(p) status of 415V/50Hz with rated burden torque of 7.5NmWith 100 % measure alteration in Rotor Resistance.With 100 % incline alteration in Rotor Resistance.With 100 % trapezoidal alteration in Rotor ResistanceFig 2 actual and Estimated Rotor Resistance for 100 % measure alteration RrFig 3 Actual and Estimated Rotor Resistance for 100 % incline alteration RrFig 4 Actual and estimated rotor opposition for 100 % trapezoidal alteration RrFrom the consequences, it is observed that estimated rotor opposition is tracking with existent rotor opposition. MRAS based Rotor opposition calculator utilizing reactive power method is studied and knowing for vector controlled initiation motor thrusts. The public demo of rotor opposition calculator utilizing reactive power is analyzed extensively for assorted alterations in rotor opposition. From the consequences obtained, it is observed the mistake between that existent and estimated rotor opposition is ever open u p to be less than 0.9 % and the subsiding clip is found to be almost 1 sec.3. Analysis of vector controlled drive public presentation with and without calculatorVector control is besides known as the field oriented control , flux oriented control or indirect deviousness control . Using field orientation ( Clarke-Park transmutation ) , three-phase current vectors are converted to a planar rotating mention frame ( d-q ) from a 3-dimensional stationary mention frame. The vitamin D constituent represents the flux tally forthing constituent of the stator current and the Q constituent represents the deformation bring forthing constituent. These two decoupled constituents can be on an individual basis controlled by go throughing though separate PI accountants. The end products of the PI accountants are transformed back to the 3-dimensional stationary mention plane utilizing the opposite of the Clarke-Park transmutation. The corresponding shift form is pulse breadth spiel dri ving a Voltage beginning Inverter. This control simulates a individually exited DC motor theoretical account, which provides an first-class torque-speed curve. The transmutation from the stationary mention frame to the revolving mention frame is done and controlled with mention to a specific flux linkage infinite vector ( stator flux linkage, rotor flux linkage or magnetising flux linkage ) . In general, there exists three possibilities for such choice and hence, three diverse vector controls. They are Stator flux oriented control, Rotor flux oriented control and magnetising flux oriented control.As the torsion bring forthing constituent in this type of control is controlled merely afterwards transmutation is done and is non the chief input mention, such control is known as indirect torsion control . The most ambitious and finally, the confining characteristic of the field orientation, is the method whereby the flux be given is measured or estimated. Depending on the method of measuring, the vector control is divided into two subcategories direct and indirect vector control.In direct vector control, the flux measuring is done by utilizing the flux feeling spirals or the Hall devices. This adds to extra hardware exist and in add-on, measuring is non extremely accurate. Therefore, this method is non a rightfully good control technique. The more common method is indirect vector control. In this method, the flux angle is non measured straight, but is estimated from the tantamount circuit theoretical account and from measurings of the rotor velocity, the stator current and the electromotive force. unmatched common technique for gauging the rotor flux is based on the faux pas relation. This requires the measuring of the rotor patch and the stator current. With current and place detectors, this method performs moderately good over the full velocity scope. The most high-performance VFDs in operation today employ indirect field orientation based on the faux pa s relation. The advantages of the vector control are to better the torsion response compared to the scalar control, full-load torsion nuzzle to zero velocity, accurate velocity control and public presentation nearing DC thrust, among others. This chapter gives complete inside informations about indirect vector control strategy.Fig 4 Vector controlled Induction Motor DrivesThe indirect field oriented control presented here is rotor flux oriented control. Figure 4 shows the complete established of rotor opposition appraisal for indirect field oriented control of initiation motor thrusts. The torsion bid is generated as a map of the velocity mistake signal, by and large processed through a PI accountant. The torsion and flux bid are processed in the computation block. The three stage mention current generated from the functional block is compared with the existent current in the hysteresis set current accountant and the accountant takes the necessary action to bring forth PWM pulsat ions. The PWM pulsations are used to trip the electromotive force beginning inverter to drive the Induction motor.3.3 Simulation ConsequencesThe IFOC thrust public presentation is analyzed without and with calculator for the operating status.Reference speed = 100rad/secReference rotor flux = 0.9wbLoad torsion = 7.5Nm ( invariable )Rotor Resistance = 100 % measure alteration in rotor opposition is given at1 2nd.3.3.1 Simulation consequence for decoupled stator current for runing status I with and without rotor opposition calculatorFig 3.3 vitamin D and q axis of stator current for runing status I without Rr calculatorFig 3.4 vitamin D and q axis of stator current for runing status I with Rr calculator3.3.2 Simulation consequence for torsion for runing status I with and without rotoropposition calculatorFig 3.5 Actual and mention torsion for runing status I without Rr calculatorFig 3.6 Actual and mention torsion for runing status I with Rr calculator3.3.3 Simulation consequence for ro tor flux for runing status I with and withoutrotor opposition calculatorFig 3.7 Actual and mention rotor flux for runing status I without Rr calculatorFig 3.8 Actual and mention rotor flux for runing status I with Rr calculator3.5 Significance of Estimation clip on the thrust public presentationIn the execution of the calculators, the clip taken for appraisal is an of import parametric quantity. Faster tracking will take to better dynamic public presentation. The cost of the calculator should be low to maintain the cost of the thrust system within the permissible degrees. therefore a survey on the thrust public presentation has been done for assorted appraisal time and the torsion and the flux responses are observed. The consequences are tabulated in Table 3.2 and 3.3.The appraisal clip decides the transeunt public presentation indices like settling clip and peak wave-off in both torsion and flux responses of the vector controlled thrust. The appraisal mistake has less impact on t he transeunt public presentation. However the steady province mistake in both torsion and flux response chiefly decided by the appraisal mistake.The thrust public presentation is analyzed with assorted calculators in which the appraisal mistake is unploughed changeless at 1 % and clip of appraisal is varied. The appraisal mistake and appraisal clip of the vector controlled initiation motor thrust is analyzed for the operating status for mention velocity 100rad/sec, mention rotor flux 0.9wb, the rated burden torsion ( 7.5Nm ) is reduced to 5.5Nm,40 % measure alteration in rotor opposition is given at 2 second.From this the transeunt response in torsion and flux are studied.Table 3.3 conflate Response for Various Estimation timeTable 3.2 Torque Response for Various Estimation TimesESTIMATION TIME ( sec )Settling TIME ( sec )PEAK OVERSHOOT( % )No take a crap8*10-30.20.4520*10-30.231.5530*10-30.254.9580*10-30.276.75100*10-30.558.2911.211.25ESTIMATION TIME ( sec )Settling TIME ( sec )PEAK OVERSHOOT( % )No hold8*10-30.112.9520*10-30.146.5530*10-30.1710.7280*10-30.216.33100*10-30.5516.5511.1516.65Table 3.5 Flux Response for Various Estimation MistakesTable 3.4 Torque Response for Various Estimation MistakesESTIMATION hallucination ( % )Steady STATE ERROR ( % )000.4010.261.50.4420.6530.7151.03ESTIMATION ERROR ( % )Steady STATE ERROR ( % )000.4010.391.50.5020.7030.9551.11Similarly with same runing conditions the steady province analysis of the torsion and flux response of the thrust can be done by guardianship the appraisal clip as changeless with assorted appraisal mistakes. The public presentation is studied with a changeless appraisal clip of 20ms. The Torque and the flux responses for the above conditions are tabulated in Table 3.4 and 3.5. The unmingled Numberss shown in table 3.2, 3.3, 3.4 and 3.5 are the optimal allowable values of the appraisal clip and appraisal mistake.It is provable that as the appraisal clip and the appraisal mistake are increased t he thrust public presentation is being deteriorated. However it is quiet appealing to settle down with the maximal allowable appraisal clip and appraisal mistake, so that the thrust public presentation is satisfactory. Therefore from the consequences it can be concluded that the public presentation of the thrust is satisfactory with the maximal appraisal clip of 20ms and an appraisal mistake of 1.5 % .4. DecisionThe MRAS based Rotor opposition calculator utilizing reactive power method is studied and designed for vector controlled initiation motor thrusts. The public presentation of rotor opposition calculator utilizing reactive power is analyzed extensively for assorted alterations in rotor opposition. From the consequences obtained, it is observed the mistake between that existent and estimated rotor opposition is ever found to be less than 0.9 % and the subsiding clip is found to be about 1 sec.The public presentation of Vector Controlled Induction Motor Drive with and without Ro tor Resistance calculator is studied. From the consequences, it is observed that the without rotor opposition calculator, the decouple control is lost which leads to important deteriorates in the public presentation of vector controlled initiation motor thrusts while with rotor opposition calculator, the decouple control is achieved and the public presentation of IFOC is truly enhanced. The maximal allowable appraisal mistake and appraisal clip for rotor opposition appraisal that does non deteriorate the public presentation of IFOC is found to be 1.5 % and 20ms severally.
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