International Journal of Alied Engineering Research ISSN 0973-456 Volume 3, Number (08). 9437-944 Simulation of 3-Phase - Stator Induction Motor Using MATLAB Platform Pallavi R.Burande Deartment of Electrical Engineering, BVDU college of Engineering, Pune, India. Prof. Mrs. A.R.Soman Deartment of Electrical Engineering, BVDU college of Engineering, Pune, India. Abstract The aer gives the details about simulation of the dual stator cage rotor induction motor using MATLAB SIMULINK. The motor consists of two different stator windings wound for 4 and ole. The windings are sulied with different variable frequency, variable voltage source inverter. The motor used has the advantages of good seed regulation without sensor, increase flexibility and reliability. The mathematical model of the motor is develoed using two axis transformation theory in MATLAB SIMULINK. The analysis is also done on the motor when run as motor with individual stator winding and the results after simulation are comared for the same. Voltage/Frequency control method is used for the oeration of dual stator induction motor. Keywords: Dual stator, simulation, Mathematical model,two axis transformation theory,matlab. oles. The windings are sulied by different variable frequency variable voltage source inverter. The advantage of taking ole combination as :3 is for the better use of magnetic material, to have less stator losses and to avoid the undesirable effect of magnetic saturation. When the suly is given to the windings, the two indeendent torques are roduced which after addition roduces the net outut torque which is controlled by controlling these two indeendent torques. Because of decouling effect due to windings with dissimilar number of oles, the machine behaves as a two indeendent machines mechanically couled through the shaft[]. Thus, this can be used to imlement seed sensor less oeration. The fig. describes the block diagram of 4, dual stator induction motor. INTRODUCTION The three hase induction motor is largely used motor in electrical industry because of its good electrical and mechanical roerties. The dual stator induction motor is the new innovation in this area because of its high ower caability.the dual stator induction motor is divided into two grous i.e. slit wound and self cascaded. The dual stator induction machines can be constructed by slitting the same stator winding in two dislaced windings for the similar number of oles, because of this the circulating harmonic current is generated due to concet of mutual couling of the windings[]. This aer focuses on, simulation of the innovative dual stator cage rotor induction motor using MATLAB SIMULINK. In this motor two different stator windings are wound for dissimilar number of oles which is in the ratio:3. Due to this, the circulating harmonic current has been eliminated. Zero seed oeration can also be achieved by this tye of construction. The mathematical model has been develoed using equation of transformation. DUAL STATOR THREE PHASE INDUCTION MOTOR The dual stator three hase induction motor described in this aer consists of two stator windings wound for 4 and Figure. Block diagram of 4, dual stator motor SIMULINK MODEL The mathematical model of the dual stator three hase induction motor is develoed using Krause's and Thomas transformation theory [7].According to this theory, the three hase arameters can be converted to two hase by transferring them to a common reference frame known as arbitrary reference frame. The machine model derived in this aer is divided into three arts. The three hase voltages, frequency, load torque are the inuts of the dual stator cage rotor induction machine and the three hase currents, 9437
International Journal of Alied Engineering Research ISSN 0973-456 Volume 3, Number (08). 9437-944 electrical torque and the seed are the oututs []. a) abc-dq conversion block: A transformation of three hase variables of stationary circuit to arbitrary reference frame is given by, Here, (V qd0s) T = K s (V abcs ) T () (V qd0s) T = [V qs V ds V 0s] (V abcs) T =[V as V bs V 0s ] and Kr = 3 cos β cos (β π 3 ) cos (β + π 3 ) sin β sin (β π 3 ) sin (β + π 3 ) ] [ where, β = θ θ r (4) Here, r subscrit denotes rotor arameters. The below fig. shows transformation of rotor circuit to arbitrary reference frame, cos θ cos (θ π 3 ) cos (θ + π 3 ) K S = 3 [ sin θ sin (θ π 3 ) sin (θ + π 3 ) ] here, T denotes the transose of the matrices and subscrit s denotes the arameter associated with stator variable. The angular dislacement θ of the arbitrary reference frame is given by, θ = ω dt () The below figure shows the transformation circuit of stator arameter, Figure 3. Transformation of rotating arameter to arbitrary reference frame Figure. Transformation of stationary arameters to arbitrary ref.frame A transformation of three hase rotor circuit to arbitrary reference frame is given by, (V qdr) T = K r (V abcr) T (3) Here, and (V qd0r) T = [V qr V rr V 0r] (V abcr) T =[V ar V br V cr] b)d-q block for motor: The equations in modeling for flux linkages can be reresented as follows: i qs = (ψ qs ψ mq ) (5) i ds = (ψ ds ψ md ) (6) i 0s = (ψ 0s ) (7) i qr = (ψ qr ψ mq ) (8) i dr = (ψ dr ψ md ) (9) i 0 = (ψ 0r ) (0) ψ mq = X M (i qs + i qr ) () ψ md = X M (i ds + i dr ) () ψ qs = ω b [V qs ω ω b ψ ds + r s (ψ mq ψ ds )] (3) ψ ds = ω b [V ds ω ω b ψ qs + r s (ψ md ψ qs )] (4) ψ 0s = ω b ψ qr = ω b ψ dr = ω b [V 0s r s ψ 0s ] (5) [V qr ω ω b ω b [V dr ω ω b ω b ψ dr + r r (ψ mq ψ qr )] (6) ψ qr + r r (ψ md ψ dr )] (7) 9438
International Journal of Alied Engineering Research ISSN 0973-456 Volume 3, Number (08). 9437-944 ψ 0r = ω b [V 0r r r ψ 0r ] (8) ψ mq = X aq ( ψ qs + ψ qr ) (9) ψ md = X aq ( ψ ds + ψ dr ) (0) where, i qs,i ds, i 0s and i qr,i dr,i 0r are the q and d axis arameter related to stator ad rotor circuit resectively. ψ qr and ψ dr are q and d axis flux linkages refered to rotor.. ψ md and ψ mq are q and d axis magnetizing flux linkages. V qs,v ds,v qr and V dr are q and d axis voltages. -ole number. ω -angular frequency ωr-seed of a rotor. ωb -angular base frequency. and are leakage reactances of rotor and stator res. Figure 5. Transformation of stator arameter to abc outut for rotor arameter, (V qd0r) T = K r - (V abcr) T () The SIMULINK diagram for rotor circuit to abc outut variable is follows, r r and r s are resistances of rotor and stator res. The simulation model for d and q axis is shown in fig. below, Figure 6. Transformation of rotor arameter to abc arameter Modelling of torque equation, Figure 4. d-q model simulation block T e = 3 w b (ψ ds i qs ψ qs i ds ) (3) c) d-q to abc conversion: The SIMULINK diagram is as follows, A transformation of arbitrary reference frame to three hase outut variable, For stator arameter, (V dq0s) T =K s - (V abc) T, () cos θ sin θ where, K s = [ cos (θ π ) sin(θ π ) 3 3 ] cos (θ + π ) sin (θ + π ) 3 3 The SIMULINK diagram for stator arameter to three hase outut variable is as follows, Figure 7. SIMULINK diagram for torque 9439
International Journal of Alied Engineering Research ISSN 0973-456 Volume 3, Number (08). 9437-944 SIMULATION RESULTS While doing simulation in simulink,the initialization file has to be created such that the file contains all the arameters which assign the values to the arameter of the machine model. The simulation results for individual as well as dual stator winding is as follows: For ole For 4 Pole Figure 0. Initialization file for ole Figure 8. Initialization file for 4 ole Figure. Results for ole Figure 9. Results for 4 ole Dual stator three hase induction motor SIMULINK model of dual stator winding is develoed by considering following stes: Ste I) The motor is run at full load 4 ole torque. ste II) Ste inut is given for ole torque (Here after. sec). Ste III) Results obtained. 9440
International Journal of Alied Engineering Research ISSN 0973-456 Volume 3, Number (08). 9437-944 CONCLUSION The aer gives the simulation of 4, dual stator induction motor using MATLAB SIMULINK Platform. The motor consists of two different stator windings wound for 4 and ole and sulied with two different variable frequency variable source inverter. This tye of motor can be used for seed sensor less oeration. In this motor, zero seed and medium to high seed oeration can be achieved with the hel of two torque generation. Simulation is also done for motor when run for individual stator winding and the results are obtained. The detail comarison of the results of the motor when run for individual as well as simultaneous oeration of windings and their torque-seed characteristics to be obtained will be done in the next aer to be ublished. Figure. Results for dual stator Figure 3. Seed v/s Time Figure 4. Torque v/s Time REFERENCES [] "Dual Stator Winding Induction Motor Drive", Alfredo Mufioz-Garcia Thomas A. Lio, Deartment of Electrical and Comuter Engineering University Of Wisconsin-Madison 45 Engineering Drive Madison.WI53706-69 USA. [] "Simulink Imlementation Of Induction Machine Model"- A Modular Aroach Burak Ozineci,Leon M.Tolbert,Oak Ridge National Laboratory P.O.Box.009 Oak Ridge,Tn 3783-647,Deartment Of Electrical And Comuter Engineering The University Of Tennessee Knoxville,TN 37996-00. [3] "On The Modelling And Design Of Dual Stator Winding To Minimize Circulating Harmonic Currents For VSI fed AC Machines",Djafar Hadiouche Razik,Senior Member,IEEE, And Abderrezak Rezzoug,Member,IEEE,Transactions On Industry Alications,Vol.40,No.,March/Aril 004. [4] "The Modeling Of A Dual Stator Winding Induction Machine Including The Effect Of Main Flux Linkage Magnetic Saturation",Lili Bu,Wilson Xu,Jeff Krukowski &Xian Liu. [5] "Modelling Dual Three Phase Induction Motor Based On A Winding Transformation ",Wang Bu-Lai Gong Zhe-Song Gu Wei Zhu Jian-Xin Guo Yi Singhai Maritime University Shanghai,China. [6] "Simulation Of Induction Motor Modelling In Matlab Software ",Naintara Wasnik, Deartment Of Electrical Engineering,Shri Ramdeobab College Of Engineering And Management, Nagur, Maharashtra, India,International JournalOf Engineering Research & Technology,(IJERT),Vol. Issue 4,Aril-03 ISSN:78-08. [7] Paul C. Krause,Oleg Wasynczuk And Scott D. Sudhoff,"Analysis Of Electric Machinery And Drive". 944