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International Research Journal of Engineering and Technology (IRJET e-issn: 2395-0056 Volume: 03 Issue: 05 May-2016 www.irjet.net p-issn: 2395-002 Performance Investigation of Inverter fed -Phase Induction Motor Drive G.RENUKA DEVI Department of Electrical & Electronics Engineering, Manakula Vinayagar Institute of Technology, Puducherry-60510,India Email: renukadeviayyappan@gmail.com ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - This paper presents the Performance Investigations of -Phase Inverter fed Induction Motor Drive. Compared to three-phase drive multi-phase induction motor drive possess several advantages, reduced current per phase, torque ripple frequency is high and amplitude of torque ripple is low, resulting lower operating noise and mechanical vibration. The total power rating of multi-phase motors in the same frame can be increased significantly without overloading a single phase and better fault tolerant capability. The th harmonic fed -phase drive is proposed in this paper. The performance of the -phase VSI is studied with the varying modulation index. The VSI fed multi-phase drive is analyzed for different load conditions. The simulation results are presented for different modulation indices and compare the performance of the drives are presented. Key Words: th harmonic injection, multi-phase drive, pulse width modulation, switching technique, voltage source inverter. 1. INTRODUCTION Multi-phase machine drives are fast increasing in recent years, due to their several inherent benefits such as lower torque pulsation, reduction in harmonic currents, and reduced current per phase without the need to increase the phase voltage, greater reliability, fault tolerant feature and increased power in the same frame as compared to three phase machine. They are mostly used in high power applications, such as ship propulsion, electric aircraft, and electric/hybrid electric vehicles etc. Multi-phase motors require multi-phase voltage source inverter (VSI for their input supply. An inverter topology uses two switches connected in series as one inverter pole. The number of inverter poles depends oumber of phases. For example, a three-phase inverter will have three inverter poles whereas a five-phase inverter will have five inverter poles. The switching pattern of the three phase inverter should be modified according to the number of phases. For three phase inverters, the sinusoidal pulse width modulation (SPWM method, space vector pulse width modulation (SVPWM, harmonic injection method and offset injection method are extensively discussed in literature [1-22].The SPWM and SVPWM techniques are extended for multi-phase VSI [1-16]. The SPWM schemes are more flexible and easy to implement. However the output waveforms contain more harmonics resulting in reduced fundamental component and efficiency. To achieve the better output voltage, the several space vector pulse width modulation (SVPWM techniques are discussed, such as conventional SVPWM, space vector disposition SVPWM, discontinuous SVPWM and multidimensional SVPWM [4-1]. The complexity involved in the SVPWM technique is more for higher number of phases. The inverter output voltage space vectors changes to 2n states, since there are 2n different switching configurations. Hence the SVPWM has complicated controlling algorithm for sector identification, look up table, angle information and voltage space vector amplitude measurements. Therefore a simple and efficient switching technique is needed for multi-phase voltage source inverter which would overcome the complexity involved with higher number of phases. In this paper to investigate the performance of the -phase VSI with the improved PWM techniques namely harmonic injection method, which is commonly used for three phase VSIs can be used for multi-phase VSIs. In the harmonic injection method the linear modulation range is extended by adding the mth harmonic component with respective phase of the reference phase voltages and the fundamental output voltage is increases without moving into the over-modulation region [18-22]. The main contribution of this paper is to detail study of harmonic injection PWM technique for multi-phase voltage source inverter. The performance of the inverter is investigated with these switching technique and the results are presented for -phases. Based on the inverter fed simulation results the multi-phase drive is analyzed in terms of current/phase, output power and torque frequency. 2. POWER CIRCUIT OF MULTI-PHASE VSI The power circuit of -phase VSI is shown in Fig.1. The circuit consists of half-bridges, which are mutually displaced by 2π/ degrees to generate the -phase voltage waves. The input supply is obtained from a single phase or 3-phase utility power supply through a diode-bridge rectifier. The voltages V a, V b, V c, V d, V e, V f,v g are the inverter pole voltages connected to load terminals. It is seen that the switching states of each pole should be combined with each 2016, IRJET Impact Factor value: 4.45 ISO 9001:2008 Certified Journal Page 694

International Research Journal of Engineering and Technology (IRJET e-issn: 2395-0056 Volume: 03 Issue: 05 May-2016 www.irjet.net p-issn: 2395-002 other pole to create the required -phase output voltages. The load phase voltages and inverter pole voltages is as given in the following relations (1 Fig - 2: Block diagram of sinusoidal PWM with n th harmonic injection Fig - 1: Power circuit of -phase VSI VaN Va ( Vb Vc Vd Ve V f Vg VbN Vb ( Va Vc Vd Ve Vf Vg Vc N Vc ( Va Vb Vd Ve Vf Vg VdN Vd ( Va Vb Vc Ve V f Vg VeN Ve ( Va Vb Vc Vd Vf Vg VfN Vf ( Va Vb Vc Vd V f Vg n 1 1 VgN Vg ( Va Vb Vc Vd Ve Vf (1 The th harmonic injection method with simulation results of th harmonic injection fed drives are discussed detail in the following sections. 3. SINUSOIDAL PWM WITH th HARMONIC INJECTION To eliminate the 3 rd harmonic component in the output of the three phase voltage source inverter, the 3 rd harmonic is injected to the sinusoidal reference voltages [1]. This would increase the maximum fundamental output voltage without moving into the over-modulation region. By analogy, the linear modulation range can be extended by injecting the th harmonic component for -phase VSI. The th -harmonic injection reduces the peak of the -leg reference voltages and hence the modulation index can be moved beyond the value of 1 without entering into overmodulation region. The block diagram of sinusoidal PWM with th harmonic injection of a -phase VSI is shown in Fig.2. In the -phase VSI (V aref, V bref, V cref, V dref,v eref,v fref,v gref are reference phase voltages displaced by α=(2π/ degrees. The reference sinusoidal signals are added with th harmonic component to obtain a non sinusoidal modulating signal. The carrier based modulating signal is compared with the relational operator. The intersections between the modulating signals and the carrier signals give the opening and closing time of inverter switches. The best possible th - harmonic injection for the -phase VSIs is achieved using (2. v V [ M cos wt M cos wt] a th v V [ M cos( wt M cos wt] b th v V [ M cos( wt 2 M cos wt] c th v V [ M cos( wt 3 M cos wt] d th v V [ M cos( wt 4 M cos wt] e th v f th g th V [ M cos( wt 5 M cos wt] v V [ M cos( wt 6 M cos wt] (2 where M Modulation index 0 M 1 M Modulation index of the th harmonic component. The th harmonic component has no effect on the value of the reference waveform expression when wt [2k 1] / 2n, since cos [ n[2k 1] / 2 n] 0 for all k. where k=0 to n Hence M can be chosen to make the peak magnitude of the reference waveform defined in (2 occur where the n th harmonic component is zero, that is wt /2n. This would, 2016, IRJET Impact Factor value: 4.45 ISO 9001:2008 Certified Journal Page 695

International Research Journal of Engineering and Technology (IRJET e-issn: 2395-0056 Volume: 03 Issue: 05 May-2016 www.irjet.net p-issn: 2395-002 in turn, assure the maximum possible value for the fundamental component. The reference voltages v a th reaches maximum when dva h ( ref t har MV sin wt M V sin wt 0 (3 dwt where wt /2 From (3 M n sin( / 2 n M n (4 30 Volts. The corresponding transient response of the drive is shown in Fig.6. From the simulation results when increasing phase numbers reduced current/phase, increased power in the same frame and increasing torque frequency are observed. Under these conditions, the maximum possible non sinusoidal modulating signal is given by (5 sin( / 2 n (5 va th MV cos cos ( ref har wt M V nwt V n From equation (5 M is 1 M cos( / 2 n (6 4. SIMULATION RESULTS The -phase inverter is simulated with the above said switching scheme and the results are observed. The input DC is set to 1 volt, switching frequency of the VSI is chosen as 5 khz and the fundamental frequency is set to 50 Hz. The - phase induction motor parameters are shown in Appendix. The -phase VSI is simulated with the pulses obtained by harmonic injection technique. Figs. 3 and 4 show the results for five-phase VSI. Fig. 3(a shows the fundamental, th harmonic component waveform and the resultant modulating signal for a modulation index of 1. It is seen that the peak value of the modulating signal is less than 1. It will reach ±1, when the modulation index M 1/ cos( / 2 n, according to expression (4. Also this would increase the maximum fundamental output voltage without moving into the over-modulation region. The output phase voltage and its spectrum are shown in Fig.3(b. It is seen that the output fundamental rms value is 0.3544 p.u. (0.5013 p.u. peak and THD is 6.8%.The simulation is repeated for the maximum modulation index of 1.025 and the results are shown in Fig.4 (a and Fig.4(b. It is observed that the output fundamental rms value is 0.3601p.u. (0.5092 p.u. peak and THD is 5.05%. It is seen that the maximum fundamental output voltage is increased by 2.5% for the maximum modulation index. Table 1 shows the comparison of fundamental voltage and THD for -phase VSI. It is seen increasing modulation index fundamental voltage is increasing THD is decreasing. The harmonic injection fed 5- phase drive is shown in Fig.5 in that case DC voltage is set to (a (b Fig - 3: th harmonic injection with MI-1 (a Reference signal, 5 th harmonic component and modulation signal (b Phase voltage and its spectrum 2016, IRJET Impact Factor value: 4.45 ISO 9001:2008 Certified Journal Page 696

International Research Journal of Engineering and Technology (IRJET e-issn: 2395-0056 Volume: 03 Issue: 05 May-2016 www.irjet.net p-issn: 2395-002 Fig - 5: Simulation results for -phase machine with 5 Nm load condition Fig - 4: th harmonic injection with MI-1.025 (a Reference signal, th harmonic component and modulation signal (b Phase voltage and its spectrum TABLE-1:FUNDAMENTAL VOLTAGE (PU AND THD FOR -PHASE VSI -phase VSI MI Fundamental voltage(volts THD(% 0.2 0.0964 269.04 0.4 0.2805 13.56 0.6 0.298 128.89 0.85 0.3981 99.31 1 0.5013 6.8 1.025 0.5092 5.05 Fig - 6: Transient response of -phase induction motor drive 5. CONCLUSIONS The simulation model of the -phase VSI fed induction motor drive is developed im matlab/simulink environment The simulation results are obtained for -phase VSIs. It is found that the linear modulation range is extended without moving into the over-modulation region. The inverter fed - phase drive is discussed. From the simulation results when increasing phase numbers reduced current/phase, increased 2016, IRJET Impact Factor value: 4.45 ISO 9001:2008 Certified Journal Page 69

International Research Journal of Engineering and Technology (IRJET e-issn: 2395-0056 Volume: 03 Issue: 05 May-2016 www.irjet.net p-issn: 2395-002 power in the same frame and increasing torque frequency are observed. Further the harmonic injection method eliminates the need for complex control algorithm and its simple calculation makes it easy to implement in digital platform and admirable selection for high power applications. APPENDIX PARAMETERS OF THE -PHASE INDUCTION MOTOR PARAMETERS VALUES Power 1 hp Voltage 220 V Phase -phase Frequency 50 Hz No. of poles 4 Stator resistance (Rs 10 ohm Rotor resistance (Rr 6.3 ohm Stator inductance (Ls 0.04 mh Rotor inductance (Lr 0.04 mh Mutual inductance (Lm Inertia (J REFERENCES Friction (F 1.4 mh 0.03 kg.m^2 0.0015N.m.s [1] G.D.Holmes, T.A.Lipo, Pulse Width Modulation for Power Converters - Principles and Practice, IEEE Press Series on Power Engineering, John Wiley and Sons, Piscataway, NJ, USA, 2003. [2] Bimal K.Boss Modern power electronics and ac drives, Prentice Hall,2002. [3] G.Renukadevi and K.Rajambal, Novel Carrier-Based PWM technique for n-phase VSI, International Journal of Energy Technologies and Policy, 2011, pp. 1-9. [4] Zhou K and Wang D, Relationship between Space vector modulation and Three-phase carrier based PWM - A comprehensive analysis, IEEE Trans. Ind. Electron.,2002,49,(1,pp 186-196. [5] J. S. Kim and S. K. Sul, A novel voltage modulation technique of the space vector PWM, in Conf. Rec. IPEC 95, Yokohama, Japan, 1995, pp. 42 4. [6] Kelly, J.W., Strangas, E.G., and Miller, J.M.: Multi-phase inverter analyses. Proc. IEEE Int. Electric Machines and Drives Conf. IEMDC, Cambridge, 2001, pp. 14 155. [] A.Iqbal, E.Levi, Space vector modulation scheme for a five-phase voltage source inverter, Proc. European Power Electronics (EPE Conf., Dresden, Germany,2005, CD-ROM paper no. 0006.pdf. [8] A.Iqbal, E.Levi, Space vector PWM techniques for sinusoidal output voltage generation with a five-phase voltage source inverter, Electric Power Components and Systems,2006, vol. 34 no. 2. [9] D.Casadei, G.Serra, A.Tani, L.Zarri, Multi-phase inverter modulation strategies based on duty-cycle space vector approach, Proc. Ship Propulsion and Railway Traction Systems Conf. Bologna, Italy, 2005, pp. 222-229. [10] J.W.Kelly, E.G.Strangas, J.M.Miller, Multi-phase space vector pulse width modulation, IEEE Trans. on Energy Conversion, vol. 18, no. 2,2003, pp. 259-264. [11] Iqbal and S. Moinuddin, Space vector model of a fivephase voltage source inverter, in Proc. IEEE Int. Conf. Ind. Technol. ICIT,2006, Mumbai, India, Dec.15 1, pp. 488 493, Paper IF 002909. [12] G.Grandi, G. Serra, A. Tani, Space vector modulation of a seven-phase voltage source inverter, in Proc. of Symposium on Power Electronics, Electrical Drives, Automation & Motion SPEEDAM, 2006, pp. S8-6 - S8-13. [13] D.Casadei, F. Milanesi, G. Serra, A. Tani, L. Zarri, Space Vector Modulation Based on a Multidimensional Approach for Multiphase Inverters with an Odd Number of Phases, Power ElectronicsSpecialists Conference(PESC, pp. 1351-135, 2008. [14] Ruhe Shi, H. A. Toliyat, Vector Control of Five-phase Synchronous Reluctance Motor with Space Pulse Width Modulation for Minimum Switching Losses, 36th Industry Applications Conference AnnualMeeting (IAS, vol. 3, pp. 209-2103, 30 Sept.- 4 Oct. 2001. [15] Fei Yu, Xiaofeng Zhang, Huaishu Li, Zhihao Ye, The space vector PWM control research of a multi-phase permanent magnet synchronous motor for electrical propulsion, International Conference of Electrical Machines and Systems (ICEMS, vol. 2, pp. 604-60, Nov.2003. [16] Hyung-Min Ryu, Jang-Hwan Kim, Seung-Ki Sul, Analysis of Multi-Phase Space Vector Pulse Width Modulation Based on Multiple d-q Spaces Concept, The 4th International Power Electronics and Motion Control Conference (IPEMC 2004, vol. 3, pp. 1618-1624, 2004. [1] S.Xue, X. Wen, Z. Feng, A novel multi-dimensional SVPWM strategy of multiphase motor drives, Proc. Power Electronics and Motion Control Conf. EPE-PEMC, pp. 931-935, 2006. [18] G.Renukadevi and K.Rajambal, Generalized Model of Multi-Phase Induction Motor Drive using Matlab/Simulink, International IEEE PES Conference Innovative Smart Grid Technologies,Kerala-India,2011. [19] E.Levi, Multiphase Electric Machines for Variable Speed Applications, IEEE Transactions on Industrial Electronics, vol. 55, no. 5, pp. 1893-1909, MAY 2008. [20] G.Renukadevi and K.Rajambal, Field Programmable Gate Array Implementation of Space-Vector Pulse-Width Modulation Technique for Five-Phase Voltage Source Inverter, IET Power Electronics, ISSN 155-4535, pp.36-389. [21] G.Renukadevi and K.Rajambal, Comparison of Different PWM Schemes for n-phase VSI, International Conference on Advances In Engineering, Science And Management (ICAESM -2012 March 30, 31,2012, pp.559-564. 2016, IRJET Impact Factor value: 4.45 ISO 9001:2008 Certified Journal Page 698

International Research Journal of Engineering and Technology (IRJET e-issn: 2395-0056 Volume: 03 Issue: 05 May-2016 www.irjet.net p-issn: 2395-002 [22] G.Renukadevi and K.Rajambal, Performance Investigation of Multi-Phase VSI with Simple PWM Switching Techniques, International journal of Engineering,Vol. 26, No. 1,pp.451-458, March-2013. BIOGRAPHIES G.Renukadevi received her Undergraduate Degree in Electrical Engineering from The Institution of Engineers, India in 2006 and Master of Technology in Electrical Drives and Control from Pondicherry Engineering College in 2009. Ph.D in Multi-Phase Drive Systems in 2016 from Pondicherry University. She is working as Assistant professor in the Department of Electrical and Electronics Engineering in Manakula Vinayagar Institute of Technology, Pondicherry. Her field of interest is power electronics, Drives and control, AI techniques and control systems. She has published papers in international journals and conferences in the field of Drives and power electronics. 2016, IRJET Impact Factor value: 4.45 ISO 9001:2008 Certified Journal Page 699