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International Journal of Power Electronics and Drive System (IJPEDS)
Vol. 4, No. 3, September 2014, pp. 337~342
ISSN: 2088-8694  337
Journal homepage: http://iaesjournal.com/online/index.php/IJPEDS
Closed Loop Analysis of Multilevel Inverter Fed Drives
V.S. Bharath*, Gopinath Mani**
* Research scholar, Bharath University, chennai, India
** Professor, dr.n.g.p. Institute of technology, Coimbatore, tamilnadu, India
Article Info ABSTRACT
Article history:
Received Feb 18, 2014
Revised Apr 3, 2014
Accepted Apr 19, 2014
This paper deals with the simulation and implementation of multilevel
inverter for drives application. Here the focuses will be onimproving the
efficiency of the multilevel inverter and quality of output voltage waveform.
The circuit is developed towards high efficiency, high performance, and low
cost, simple control scheme. Harmonics Elimination was implemented to
reduce the Total Harmonics Distortion (THD) value which is achieved by
selecting appropriate switching angles. In this paper to determine the
performance of rectifier, steady state analysis is done. Furthermore, the
merits of multilevel inverter topology are inherited.Closed loop control is
done to analysis the stability of the system.
Keyword:
Multilevel Inverter
switching angles
Total harmonic distortion
Selective Harmonics
Elimination Copyright © 2014 Institute of Advanced Engineering and Science.
All rights reserved.
Corresponding Author:
V.S.Bharath
Research Scholar
Departement of Electrical and Electronics Engineering,,
Bharath University, Chennai-72.
Email: bharathpg2002@gmail.com
1. INTRODUCTION
Nowadays researchers all over the world spending their great efforts to improve the performance of
multilevel inverters system by control simplification and optimized algorithms in order to decrease Total
Harmonic Distortion (THD) and torque ripple of the motor. Today in all industries Variable speed drives are
most commonly used. AC drives such as Induction Motors (IM) and recently Permanent Magnet
Synchronous Motors (PMSM) are offered. The widely used applications are pumps, fans, elevators, electrical
vehicles, heating, ventilation and airconditioning, robotics, wind generation systems, ship propulsion, etc. In
the present industrial world there is a very great need to control the speed of the drives for better production
and quality output where rotating machines are used. Nowadays PMSM gives very fast and accurate speed
response, insensitivity to parameter variations with quick recovery of speed from the disturbance.The
Inverter output waveforms are usually rectilinear in nature which contain harmonics, it may lead to reduced
load efficiency and performance. In many industrial applications it is very essiential to control the output
voltage of inverters.There are mainly three types of multilevel inverters; they are 01) diode- clamped, 02)
flying capacitor and 03) cascade multilevel inverter (CMLI). Out of which CMLI has wide range of
application. [1]-[2]. In [3]-[4], iterative numerical analysis have been implemented to solve the SHE
equations. By using the proposed topology the number of switches will reduced and hence the efficiency will
improve as in [5]. In high power applications, the harmonic content of the output waveforms has to be
reduced as much as possible inorder to avoid distortion in the grid and to reach the maximum energy
efficiency [6].The phase shifted technique is best suitable for CMLI and it is used in this paper for generation
of triggering pulses to CMLI [7]-[9]. Multilevel sinusoidal PWM can be classified as in [10]. In this paper
five level diode clamped multilevel inverters fed drive is used and a closed loop Control system is designed
using PI controller in order to maintain load voltage constant during under voltage and Over voltage
conditions.
 ISSN: 2088-8694
IJPEDS Vol. 4, No. 3, September 2014 : 337 – 342
338
2. MULTILEVEL INVERTER
According to research, the first multilevel inverter wasdesigned in the year 1975 and it was a
cascade inverter with diodes blocking the source of the circuit. This inverter was later derived into theDiode
Clamped Multilevel Inverter, also called Neutral-PointClamped Inverter. In the NPCMLI topology the
voltage clamping diodes is used which is an essential one.
The main aim of the modulation strategy of multilevel inverters is to synthesize the output voltage
as close aspossible to the sinusoidal based waveform. In research work lot of modulation techniques are
interduced for harmonic reduction and switching loss minimization. This modulation method which is used
in multilevel inverters can be classified according to switching frequency of the system. The methods that
work with high switching frequency have more commutations for the power semiconductors in one period of
the fundamental outputvoltage of inverter. A very popular method in industrial applications is the classic
carrier-based sinusoidal PWM (SPWM) that uses the phase-shifting technique to reduce the harmonics in the
load voltage. Another interesting alternative is the SVM strategy which is used in three-level inverters. A
common DC-bus is divided by an even value, depending on the number of voltage evels in the inverter
circuit, of bulk capacitors in series with a neutral point in the middle of the line. The diode-clamped mulilevel
inverter uses capacitors in series to divide equally the dcbus voltage into anequal set of voltage levels of the
system. To generate m levels ofthe phase voltage, an m-level diode-clamp inverter needs m-1level capacitors
on the dc bus system. A Multilevel inverter is shown in Figure 1. The dc bus consists of four capacitors. They
are listed as C1, C2, C3, and C4. For a dc bus voltage Vdc, the voltage across each capacitor is Vdc/4, and
each device voltage stress will be limited to one capacitor voltage level, Vdc/4, through clamping diodes. In
the inverter system DCMI output voltage synthesis is relatively consider as straight forward. In general to
explain how the staircasevoltage is synthesized, point O is considered as the outputphase voltage, this is
considered as the reference point. The multilevel inverter is shown in Figure 1 which have five switch
combinations to generatefive level voltages across A and O. Table 1 shows that the phase voltage level and
their corresponding switch states. From Table 1, state 1 represents that the switch is on and state 0
representsthe switch is off. Therefore in each phase a set of four adjacentswitches is on at any given time.
Thefour complimentaryswitch pairs exist in each phase, they are listed as Sa1 to Sa’1, Sa2 to Sa’2, Sa3 to
Sa’3and finally Sa4 to Sa’ 4.
Figure 1. Multilevel Inverter
Table 1. Switching stage
O/P
Vo
Switch State
Sa1 Sa2 Sa3 Sa4 Sa’1 Sa’2 Sa’3 Sa’4
V5=Vdc 1 1 1 1 0 0 0 0
V4=3Vdc/4 0 1 1 1 1 0 0 0
V3=Vdc/2 0 0 1 1 1 1 0 0
V2=Vdc/4 0 0 0 1 1 1 1 0
V1=0 0 0 0 0 1 1 1 1
IJPEDS ISSN: 2088-8694 
Simulation Analysis of Ac/Dc Adapter Under Zero No-Load Power Consumption… (Dona Maria Mathew)
339
Selective Harmonic Elimination (SHE) technique for one phase inverters is one of the options for
inverters to reduce some harmonics and set the cut frequency of a low- pass filter with a higher value to
reduce the size of inductances and capacitances of the filter. Even some harmonics can be eliminated, the
total harmonic distortion could increase. Multilevel inverters provide a less THD than other inverters and it
can improve with more levels added. One of the drawbacks is the calculation of the switching angles since
the more levels are needed, more angles must be calculated and more time is spent in calculation. The RMS
voltage for (2p+1) levels is,
, ∑ 2 1 (1)
Where p is the number of switching angles in half cycle.
The Fourier coefficients are:
∑ (2)
∑ cos, , (3)
One of the most used techniques for finding the switching angles is to use the Fourier coefficients to
eliminate some harmonics. The number of harmonics to be eliminated is equal to the number of switching
angles to be calculated minus one, with this technique.
3. SIMULATION ANALYSIS OF MULTILEVEL INVERTER
In this paper, Figure 2 shows the simulation of new cascaded five level H bridge multilevel inverter.
The proper switching control of the auxiliary switch can generate half level of dc supply voltage which has
five output voltage levels. The levelsare V, V/2, 0, -V/2, -V. For getting the better output voltage, the
switches need to be turned on. The switching combinations are shown in Table 1. The output voltage and
current waveforms are shown in Figure 3. It measures 200volt and 01amp current. The Schematic is shown
below.
Figure 2. Simulation of Multilevel Inverter
Figure 3. Its shows the voltage and current waveform
 ISSN: 2088-8694
IJPEDS Vol. 4, No. 3, September 2014 : 337 – 342
340
The simulated result for phase voltage and its THD spectrum is shown in Figure 4. The simulated
values of THD are in close agreement hence validating results. It is to be noted that the modulation index for
CMLIs have been chosen randomly. The THD in output voltage increase with increase in number of levels.
Nextsimulation analysis of closed loop PI control of multilevel inverter fed drive has done. Mathematical
model of PMSM is simulated drive model. The closed loop PI controller is done using field oriented control
to control the speed & torque of the drive.The torque speed characteristics of the drive strongly correlates
with the employed modulation strategies.The entire work is simulated using MATLAB/SIMULINK
software. The closed loop PI control of multilevel inverter fed drive is shown in Figure 5. Generally the PI
controllers are used widely in motion control of systems. It consist of a proportional gain that produces an
output directly proportional to the input error and an integration to make thesteady state error zero for a step
change in the input.
Figure 4. THD value of phase voltgage
Figure 5. Closed loop analysis of multilevel Inverter
Figure 6. Output voltage waveform
IJPEDS ISSN: 2088-8694 
Simulation Analysis of Ac/Dc Adapter Under Zero No-Load Power Consumption… (Dona Maria Mathew)
341
Figure 7. Output Speed, Torque and Current waveform
The output voltage of the closed loop system is shown in Figure 6 which reaches the set value, the
corresponding speed, torque and current waveform of the drive system is shown in Figure 7. From the above
results it implies that the speed torque characteristics of drive are having very good transient and steady state
characteristics. A speed controller has been successfully designed for a drive system, so that the motor runs at
the reference speed. In the above simulation the measurement of currents and voltages in each part of the
system is possible, thus permitting the calculation of instantaneousor average losses, and efficiency.
4. CONCLUSION
This work has covered the simulation of multilevel inverter and closed loop multilevel inverter fed
drives using MATLAB/SIMULINK software. Closed loop models are developed and they are used
successfully for simulation. The simulation studies indicate that a simple way to get the desired output
voltage with minimum THD. The simulation results are in line with the predictions. The closed loop PI
controllers control the speed & torque of the drive which is seen from the result. From the results, the author
can conclude that the speed torque characteristics of drive are having very good transient and steady state
characteristics. The hardware implementation will be done in future.
REFERENCES
[1] Fang Zheng Peng, Jih-Sheng Lai, et al. A Multilevel Voltage-Source Inverter with Separate DC Sources for Static
Var Generationǁ. IEEE Trans. on Industry Applications. 1996; 32(5): 1130-1138.
[2] Jih-Sheng Lai, Fang Zheng Peng. Multilevel Converters-A New Breed of Power Convertersǁ. IEEE Trans. on
Industry Applications. 1996; 32(3): 509-517.
[3] FZ Peng, JW McKeever, DJ Adams. Cascade Multilevel Inverters for Utility Applicationsǁ, IECON Proceedings
(Industrial Electronics Conference). 1997; 2: 437-442.
[4] LM Tolbert, FZ Peng, TG Habetler. Multilevel converters for large electric drivesǁ. IEEE Transactions on Industry
Applications. 1999; 35(1): 36-44.
[5] Yan Deng, Hongyan Wang, Chao Zhang, Lei Hu, Xiangning He. Multilevel PWM Methods Based On Control
Degrees of Freedom Combination And Its Theoretical Analysis. IEEE IAS 2005 Conference record no. 0-7803-
9208-6/05. 2005; 1692-1699.
[6] Alan Joseph, et al. A 24-pulse rectifier cascaded multilevel inverter with minimum number of transformer windings.
IEEE Fourtieth IAS Annual Meeting. 2005: 115-120.
[7] J Erdman, R Kerkman, D Schlegel, G Skibinski. Effect of PWM inverters on AC motor bearing currents and shaft
voltages. IEEE Trans. Ind. Applicat., 1996; 32; 250259.
[8] J von zur Gathen, J Gerhard. Modern Computer Algebra. Cambridge, U.K.: Cambridge Univ. Press. 1999.
[9] T Kailath. Linear Systems. Englewood Cliffs, NJ: Prentice-Hall. 1980.
[10] Klabunde, Y Zhao, TA Lipo. Current control of 3 level rectifier/inverter drive system. Proc. Conf. Rec. IEEE
lASAnnu. Meet., 1994: 2348–2356.
[11] Mohammed Yaichi, Mohammed-Karim Fellahpo. An Implementation Mechanisms of SVM Control Strategies
Applied to Five Levels Cascaded Multi-Level Inverters. International Journal of Power Electronics and Drive
System., 2014; 4(2).
[12] Laxmi Devi Sahu, Satya Prakash Dubey. ANN based Hybrid Active Power Filter for Harmonics Elimination with
Distorted Mains. International Journal of Power Electronics and Drive System., 2012; 2(3): 241-248.
 ISSN: 2088-8694
IJPEDS Vol. 4, No. 3, September 2014 : 337 – 342
342
BIOGRAPHIES OF AUTHORS
V.S.Bharath, has obtained his B.E degree from Madras University, Chennai. He obtained his M.E
degree from Annamallai University, Chidambram. He is presently aresearch scholar of Bharath
University, Chennai. His area of interest is Inverter fed AC drives. He has a vast experience in
teaching. At present he is working as Associate professor in an engineering college Bengalure.
Gopinath Mani has obtained his B.E degree from Bharathiar University, Coimbatore in the year
2002. He obtained his M-Tech degree from Vellore Institute of Technology; Vellore in the year
2004.He obtained is Doctorate from Bharath University, Chennai. He is working as a
Professor/EEE, at Dr.N.G.P Institute of Technology, Coimbatore, India. His Area of interest is
Power Electronics. He is professional member of IEEE, ISTE, IETE, IAENG, and IACSIT. He has
received best performer award in the year 2010.

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Closed Loop Analysis of Multilevel Inverter Fed Drives 

  • 1. International Journal of Power Electronics and Drive System (IJPEDS) Vol. 4, No. 3, September 2014, pp. 337~342 ISSN: 2088-8694  337 Journal homepage: http://iaesjournal.com/online/index.php/IJPEDS Closed Loop Analysis of Multilevel Inverter Fed Drives V.S. Bharath*, Gopinath Mani** * Research scholar, Bharath University, chennai, India ** Professor, dr.n.g.p. Institute of technology, Coimbatore, tamilnadu, India Article Info ABSTRACT Article history: Received Feb 18, 2014 Revised Apr 3, 2014 Accepted Apr 19, 2014 This paper deals with the simulation and implementation of multilevel inverter for drives application. Here the focuses will be onimproving the efficiency of the multilevel inverter and quality of output voltage waveform. The circuit is developed towards high efficiency, high performance, and low cost, simple control scheme. Harmonics Elimination was implemented to reduce the Total Harmonics Distortion (THD) value which is achieved by selecting appropriate switching angles. In this paper to determine the performance of rectifier, steady state analysis is done. Furthermore, the merits of multilevel inverter topology are inherited.Closed loop control is done to analysis the stability of the system. Keyword: Multilevel Inverter switching angles Total harmonic distortion Selective Harmonics Elimination Copyright © 2014 Institute of Advanced Engineering and Science. All rights reserved. Corresponding Author: V.S.Bharath Research Scholar Departement of Electrical and Electronics Engineering,, Bharath University, Chennai-72. Email: bharathpg2002@gmail.com 1. INTRODUCTION Nowadays researchers all over the world spending their great efforts to improve the performance of multilevel inverters system by control simplification and optimized algorithms in order to decrease Total Harmonic Distortion (THD) and torque ripple of the motor. Today in all industries Variable speed drives are most commonly used. AC drives such as Induction Motors (IM) and recently Permanent Magnet Synchronous Motors (PMSM) are offered. The widely used applications are pumps, fans, elevators, electrical vehicles, heating, ventilation and airconditioning, robotics, wind generation systems, ship propulsion, etc. In the present industrial world there is a very great need to control the speed of the drives for better production and quality output where rotating machines are used. Nowadays PMSM gives very fast and accurate speed response, insensitivity to parameter variations with quick recovery of speed from the disturbance.The Inverter output waveforms are usually rectilinear in nature which contain harmonics, it may lead to reduced load efficiency and performance. In many industrial applications it is very essiential to control the output voltage of inverters.There are mainly three types of multilevel inverters; they are 01) diode- clamped, 02) flying capacitor and 03) cascade multilevel inverter (CMLI). Out of which CMLI has wide range of application. [1]-[2]. In [3]-[4], iterative numerical analysis have been implemented to solve the SHE equations. By using the proposed topology the number of switches will reduced and hence the efficiency will improve as in [5]. In high power applications, the harmonic content of the output waveforms has to be reduced as much as possible inorder to avoid distortion in the grid and to reach the maximum energy efficiency [6].The phase shifted technique is best suitable for CMLI and it is used in this paper for generation of triggering pulses to CMLI [7]-[9]. Multilevel sinusoidal PWM can be classified as in [10]. In this paper five level diode clamped multilevel inverters fed drive is used and a closed loop Control system is designed using PI controller in order to maintain load voltage constant during under voltage and Over voltage conditions.
  • 2.  ISSN: 2088-8694 IJPEDS Vol. 4, No. 3, September 2014 : 337 – 342 338 2. MULTILEVEL INVERTER According to research, the first multilevel inverter wasdesigned in the year 1975 and it was a cascade inverter with diodes blocking the source of the circuit. This inverter was later derived into theDiode Clamped Multilevel Inverter, also called Neutral-PointClamped Inverter. In the NPCMLI topology the voltage clamping diodes is used which is an essential one. The main aim of the modulation strategy of multilevel inverters is to synthesize the output voltage as close aspossible to the sinusoidal based waveform. In research work lot of modulation techniques are interduced for harmonic reduction and switching loss minimization. This modulation method which is used in multilevel inverters can be classified according to switching frequency of the system. The methods that work with high switching frequency have more commutations for the power semiconductors in one period of the fundamental outputvoltage of inverter. A very popular method in industrial applications is the classic carrier-based sinusoidal PWM (SPWM) that uses the phase-shifting technique to reduce the harmonics in the load voltage. Another interesting alternative is the SVM strategy which is used in three-level inverters. A common DC-bus is divided by an even value, depending on the number of voltage evels in the inverter circuit, of bulk capacitors in series with a neutral point in the middle of the line. The diode-clamped mulilevel inverter uses capacitors in series to divide equally the dcbus voltage into anequal set of voltage levels of the system. To generate m levels ofthe phase voltage, an m-level diode-clamp inverter needs m-1level capacitors on the dc bus system. A Multilevel inverter is shown in Figure 1. The dc bus consists of four capacitors. They are listed as C1, C2, C3, and C4. For a dc bus voltage Vdc, the voltage across each capacitor is Vdc/4, and each device voltage stress will be limited to one capacitor voltage level, Vdc/4, through clamping diodes. In the inverter system DCMI output voltage synthesis is relatively consider as straight forward. In general to explain how the staircasevoltage is synthesized, point O is considered as the outputphase voltage, this is considered as the reference point. The multilevel inverter is shown in Figure 1 which have five switch combinations to generatefive level voltages across A and O. Table 1 shows that the phase voltage level and their corresponding switch states. From Table 1, state 1 represents that the switch is on and state 0 representsthe switch is off. Therefore in each phase a set of four adjacentswitches is on at any given time. Thefour complimentaryswitch pairs exist in each phase, they are listed as Sa1 to Sa’1, Sa2 to Sa’2, Sa3 to Sa’3and finally Sa4 to Sa’ 4. Figure 1. Multilevel Inverter Table 1. Switching stage O/P Vo Switch State Sa1 Sa2 Sa3 Sa4 Sa’1 Sa’2 Sa’3 Sa’4 V5=Vdc 1 1 1 1 0 0 0 0 V4=3Vdc/4 0 1 1 1 1 0 0 0 V3=Vdc/2 0 0 1 1 1 1 0 0 V2=Vdc/4 0 0 0 1 1 1 1 0 V1=0 0 0 0 0 1 1 1 1
  • 3. IJPEDS ISSN: 2088-8694  Simulation Analysis of Ac/Dc Adapter Under Zero No-Load Power Consumption… (Dona Maria Mathew) 339 Selective Harmonic Elimination (SHE) technique for one phase inverters is one of the options for inverters to reduce some harmonics and set the cut frequency of a low- pass filter with a higher value to reduce the size of inductances and capacitances of the filter. Even some harmonics can be eliminated, the total harmonic distortion could increase. Multilevel inverters provide a less THD than other inverters and it can improve with more levels added. One of the drawbacks is the calculation of the switching angles since the more levels are needed, more angles must be calculated and more time is spent in calculation. The RMS voltage for (2p+1) levels is, , ∑ 2 1 (1) Where p is the number of switching angles in half cycle. The Fourier coefficients are: ∑ (2) ∑ cos, , (3) One of the most used techniques for finding the switching angles is to use the Fourier coefficients to eliminate some harmonics. The number of harmonics to be eliminated is equal to the number of switching angles to be calculated minus one, with this technique. 3. SIMULATION ANALYSIS OF MULTILEVEL INVERTER In this paper, Figure 2 shows the simulation of new cascaded five level H bridge multilevel inverter. The proper switching control of the auxiliary switch can generate half level of dc supply voltage which has five output voltage levels. The levelsare V, V/2, 0, -V/2, -V. For getting the better output voltage, the switches need to be turned on. The switching combinations are shown in Table 1. The output voltage and current waveforms are shown in Figure 3. It measures 200volt and 01amp current. The Schematic is shown below. Figure 2. Simulation of Multilevel Inverter Figure 3. Its shows the voltage and current waveform
  • 4.  ISSN: 2088-8694 IJPEDS Vol. 4, No. 3, September 2014 : 337 – 342 340 The simulated result for phase voltage and its THD spectrum is shown in Figure 4. The simulated values of THD are in close agreement hence validating results. It is to be noted that the modulation index for CMLIs have been chosen randomly. The THD in output voltage increase with increase in number of levels. Nextsimulation analysis of closed loop PI control of multilevel inverter fed drive has done. Mathematical model of PMSM is simulated drive model. The closed loop PI controller is done using field oriented control to control the speed & torque of the drive.The torque speed characteristics of the drive strongly correlates with the employed modulation strategies.The entire work is simulated using MATLAB/SIMULINK software. The closed loop PI control of multilevel inverter fed drive is shown in Figure 5. Generally the PI controllers are used widely in motion control of systems. It consist of a proportional gain that produces an output directly proportional to the input error and an integration to make thesteady state error zero for a step change in the input. Figure 4. THD value of phase voltgage Figure 5. Closed loop analysis of multilevel Inverter Figure 6. Output voltage waveform
  • 5. IJPEDS ISSN: 2088-8694  Simulation Analysis of Ac/Dc Adapter Under Zero No-Load Power Consumption… (Dona Maria Mathew) 341 Figure 7. Output Speed, Torque and Current waveform The output voltage of the closed loop system is shown in Figure 6 which reaches the set value, the corresponding speed, torque and current waveform of the drive system is shown in Figure 7. From the above results it implies that the speed torque characteristics of drive are having very good transient and steady state characteristics. A speed controller has been successfully designed for a drive system, so that the motor runs at the reference speed. In the above simulation the measurement of currents and voltages in each part of the system is possible, thus permitting the calculation of instantaneousor average losses, and efficiency. 4. CONCLUSION This work has covered the simulation of multilevel inverter and closed loop multilevel inverter fed drives using MATLAB/SIMULINK software. Closed loop models are developed and they are used successfully for simulation. The simulation studies indicate that a simple way to get the desired output voltage with minimum THD. The simulation results are in line with the predictions. The closed loop PI controllers control the speed & torque of the drive which is seen from the result. From the results, the author can conclude that the speed torque characteristics of drive are having very good transient and steady state characteristics. The hardware implementation will be done in future. REFERENCES [1] Fang Zheng Peng, Jih-Sheng Lai, et al. A Multilevel Voltage-Source Inverter with Separate DC Sources for Static Var Generationǁ. IEEE Trans. on Industry Applications. 1996; 32(5): 1130-1138. [2] Jih-Sheng Lai, Fang Zheng Peng. Multilevel Converters-A New Breed of Power Convertersǁ. IEEE Trans. on Industry Applications. 1996; 32(3): 509-517. [3] FZ Peng, JW McKeever, DJ Adams. Cascade Multilevel Inverters for Utility Applicationsǁ, IECON Proceedings (Industrial Electronics Conference). 1997; 2: 437-442. [4] LM Tolbert, FZ Peng, TG Habetler. Multilevel converters for large electric drivesǁ. IEEE Transactions on Industry Applications. 1999; 35(1): 36-44. [5] Yan Deng, Hongyan Wang, Chao Zhang, Lei Hu, Xiangning He. Multilevel PWM Methods Based On Control Degrees of Freedom Combination And Its Theoretical Analysis. IEEE IAS 2005 Conference record no. 0-7803- 9208-6/05. 2005; 1692-1699. [6] Alan Joseph, et al. A 24-pulse rectifier cascaded multilevel inverter with minimum number of transformer windings. IEEE Fourtieth IAS Annual Meeting. 2005: 115-120. [7] J Erdman, R Kerkman, D Schlegel, G Skibinski. Effect of PWM inverters on AC motor bearing currents and shaft voltages. IEEE Trans. Ind. Applicat., 1996; 32; 250259. [8] J von zur Gathen, J Gerhard. Modern Computer Algebra. Cambridge, U.K.: Cambridge Univ. Press. 1999. [9] T Kailath. Linear Systems. Englewood Cliffs, NJ: Prentice-Hall. 1980. [10] Klabunde, Y Zhao, TA Lipo. Current control of 3 level rectifier/inverter drive system. Proc. Conf. Rec. IEEE lASAnnu. Meet., 1994: 2348–2356. [11] Mohammed Yaichi, Mohammed-Karim Fellahpo. An Implementation Mechanisms of SVM Control Strategies Applied to Five Levels Cascaded Multi-Level Inverters. International Journal of Power Electronics and Drive System., 2014; 4(2). [12] Laxmi Devi Sahu, Satya Prakash Dubey. ANN based Hybrid Active Power Filter for Harmonics Elimination with Distorted Mains. International Journal of Power Electronics and Drive System., 2012; 2(3): 241-248.
  • 6.  ISSN: 2088-8694 IJPEDS Vol. 4, No. 3, September 2014 : 337 – 342 342 BIOGRAPHIES OF AUTHORS V.S.Bharath, has obtained his B.E degree from Madras University, Chennai. He obtained his M.E degree from Annamallai University, Chidambram. He is presently aresearch scholar of Bharath University, Chennai. His area of interest is Inverter fed AC drives. He has a vast experience in teaching. At present he is working as Associate professor in an engineering college Bengalure. Gopinath Mani has obtained his B.E degree from Bharathiar University, Coimbatore in the year 2002. He obtained his M-Tech degree from Vellore Institute of Technology; Vellore in the year 2004.He obtained is Doctorate from Bharath University, Chennai. He is working as a Professor/EEE, at Dr.N.G.P Institute of Technology, Coimbatore, India. His Area of interest is Power Electronics. He is professional member of IEEE, ISTE, IETE, IAENG, and IACSIT. He has received best performer award in the year 2010.