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International Journal of Engineering Research and Development
e-ISSN: 2278-067X, p-ISSN: 2278-800X, www.ijerd.com
Volume 10, Issue 4 (April 2014), PP.29-35
29
A New Hybrid 27-Level Cascaded Multilevel Inverter Fed
Induction Motor Drive With Low Common Mode Voltage
Ch.Sajan1
, T. Praveen Kumar2
, T.Shiva3
, B.Rajashekar4
1
Associate Professor, Department of EEE, Jyothishmathi Institute of Technology and Science, Karimnagar,
Andhra Pradesh, India.
2
Associate Professor, Department of EEE, Jyothishmathi Institute of Technology and Science, Karimnagar,
Andhra Pradesh, India.
3
Assistant Professor, Department of EEE, Jyothishmathi Institute of Technology and Science, Karimnagar,
Andhra Pradesh, India.
4
M.Tech Student, Department of EEE, Jyothishmathi Institute of Technology and Science, Karimnagar,
Andhra Pradesh, India.
Abstract:- Hybrid cascade multilevel inverters combine semiconductor devices of different voltage ratings and
technologies, which theoretically allow high efficiency to be achieved. This paper deals with new hybrid
multilevel inverter fed induction motor drive. It focuses on asymmetrical topologies, and introduces 27-level
inverter fed Induction motor drive. The total harmonic distortion (THD) is reduced with more number of steps
in output voltage without using pulse width modulation techniques. A new method is proposed to reduce the
common mode voltage and bearing currents. This paper also focuses on the voltage balancing. Simulation
results obtained from Matlab/simulink to simulate 27-levels of voltage and the parameters of the drive.
Keywords:- Cascaded multilevel inverter, Induction motor drive, Common mode voltage, Bearing currents,
Total harmonic distortion.
I. INTRODUCTION
In recent years multilevel inverters have became a very interesting field of study in what regards their
industrial application. These converters allow the synthesizing of a sinusoidal voltage waveform starting from
several levels of dc voltages. However, besides that advantage there are other important advantages such as,
reduced switching losses, low dv/dt's and reduced common mode voltages. Due to these characteristics several
multilevel inverter topologies have been developed and studied.
Recent advances in power switching devices enabled the suitability of multilevel inverters for high
voltage and high power applications because they are connecting several devices in series without the need of
component matching. Cascaded H-Bridge inverters can be classified into two types based on the amplitudes of
the DC sources used. They are: symmetrical multilevel inverters in which sources are of equal amplitudes and
asymmetrical multilevel inverters in which sources are of different amplitudes. Compared to symmetrical
multilevel inverter it can be seen that asymmetrical multilevel inverters can generate more voltage levels and
higher maximum output voltage with the same number of bridges. The asymmetric multilevel inverter can
produce N=2n+1
-1, levels (n is the number of sources and N is the number of levels in the inverter output). The
main advantage of the asymmetric configuration is that if minimizes the redundant output levels.
The outputs of dc–ac converters contain common-mode voltage switched at high frequencies with
voltage magnitudes that are comparable to the inverter pole voltages. High frequency switching of the common-
mode voltage in the induction motor causes several issues like leakage currents through the stray capacitance
between the winding and the body of the motor and create shaft voltages causing bearing currents resulting in
bearing failures of the motors[3]–[6].
The effects of common-mode voltage are much more adverse in the case of medium- and high-voltage
drives due to high frequency switching of common-mode voltage in the order of few kilovolts. High dV/dt
switching in common-mode voltage causes breakdown of bearing lubricant insulation and causes pitting in the
bearing surfaces. This leads to quick failure of bearings.
A New Hybrid 27-Level Cascaded Multilevel Inverter Fed Induction Motor Drive With Low Common...
30
Fig. 1 Basic new hybrid inverter scheme.
The inverter 3s
different voltages (e.g. an inverter with s=3 cells can generate 33
=27 different voltage
levels. The basic new hybrid inverter structure for one phase is shown in fig:1. This multilevel inverter consists
of series connected cells. Each cell consists of a 4-switch H-bridge voltage source inverter. The output inverter
voltage is obtained by summing the cell contributions.
I.PROPOSED TOPOLOGY
In the proposed topology, the magnitude of the dc voltage sources differs from one unit to another.
Fig. 2: Proposed new hybrid inverter scheme for 27 level output voltage.
The new Hybrid multilevel inverter consists of full bridge modules which have the relationship of
1v,3v,9v….3n-1
for dc link voltage. The output waveform has 27 levels. The following table.1 shows the
appropriate switching sequence of getting 27 level output voltage at the inverter terminals.
A New Hybrid 27-Level Cascaded Multilevel Inverter Fed Induction Motor Drive With Low Common...
31
Table. I. Switching sequence of cascaded multilevel inverter for 27 level output voltage.
V out 1Vdc 3Vdc 9Vdc
-13 Vdc N N N
-12 Vdc O N N
-11 Vdc P N N
-10 Vdc N O N
-9 Vdc O O N
-8 Vdc P O N
-7 Vdc N P N
-6 Vdc O P N
-5 Vdc P P N
-4 Vdc N N O
-3 Vdc O N O
-2 Vdc P N O
-1 Vdc N O O
0 Vdc O O O
+1 Vdc P O O
+2 Vdc N P O
+3 Vdc O P O
+4 Vdc P P O
+5 Vdc N N P
+6 Vdc O N P
+7 Vdc P N P
+8 Vdc N O P
+9 Vdc O O P
+10Vdc P O P
+11Vdc N P P
+12Vdc O P P
+13Vdc P P P
II. REDUCTION OF COMMON MODE VOLTAGE
The common-mode voltage is an average of the phase voltages. The common-mode voltage, and
especially rapid changes in it, is one of the reasons for bearing currents in the drives, and is therefore harmful. A
rapid change in the common-mode voltage is induced in the motor every time when only one of the phases
changes its output voltage level. If the motor terminal voltage oscillates after the switching, the common-mode
voltage will also oscillate. With multilevel inverters, it is possible to arrange the phase voltages so that the
common mode voltage will be zero at all times. This is based on the fact that some nodes on the voltage
hexagon lattice have such redundant switching states that the sum of the phase voltages is zero. The new method
proposed here to keep common mode voltage zero is given by parallel phase topology.
A. Parallel phase topology
Since nearly all multilevel inverters involve effective series connection of transistor devices, parallel
connection of inverter poles through inter-phase reactors. However, the multilevel features and redundancy were
noted by researchers some time ago. One advantage of parallel connection is that the devices share current and
this topology is good for high current loads. It is also reasonable to perform parallel combinations of diode-
clamped poles so that the transistor voltage and current ratings are reduced. This structure has the advantage of
providing a high number of voltage levels while reducing the voltage and current stress on the individual
transistors and hence the common mode voltage oscillations are low with proper voltage balancing. Fig. 3 shows
a three-phase inverter made from parallel two-level poles.
The inter-phase reactor is similar to a typical transformer with the exception that an air-gap exists in the
core to ensure linearity and the windings are such that the resistance and leakage inductances are small. With
these assumptions, the reactor will have equal voltages on each half meaning that the line-to-ground voltage is
the average of that of each of the two-level poles. Then the general relationships for the a-phase can be listed as
in Table-II.
A New Hybrid 27-Level Cascaded Multilevel Inverter Fed Induction Motor Drive With Low Common...
32
Fig. 3 Parallel phase multilevel inverter topology
Table. II. Parallel inverter relationships.
The a-phase line-to-ground voltage can be expressed in terms of the transistor signals by
Vag=1/2(TaL+TaR)Vdc (1)
For ideal operation, the reactor currents should be equal iasR = iasL . In practice, this is easy to ensure
since the redundant states can be selected to drive the common mode reactor current to zero. To understand the
operation of the inter-phase reactor, it can be replaced by the model shown in Fig. 4.
Fig. 4 Model of inter-phase reactor
This model is derived from the standard transformer model with the resistance and leakage inductance
set to zero. As it turns out, the transformer model is better suited for the reactor since the reactor contains an air-
gap yielding negligible core losses. The 1:1 transformers in Figure:4 are ideal and thus ensure that each side of
the reactor will have the same voltage. This magnetizing voltage can be expressed in terms of the transistor
signals and dc voltage as
Vam=1/2(TaL-TaR)Vdc (2)
From (2), the magnetizing current can be calculated by
P.iam=Vam/Lm (3)
Sa TaL TaR Vag iadc
0 0 0 0 0
1
0 1 Vdc/2 iasR
1 0 Vdc/2 iasL
2 1 1 Vdc ias
A New Hybrid 27-Level Cascaded Multilevel Inverter Fed Induction Motor Drive With Low Common...
33
Once the magnetizing current is known, the left and right reactor currents can be found by solving the two
unknowns from the two KCL equations
Ias L-iasR=iam (4)
Ias L+iasR=ias (5)
Considering (2), it can be seen that the redundant states in Table-1 can make the magnetizing voltage
positive or negative effecting the change in iam according to (3). This can be used to control iam to zero
yielding zero common mode current according to (4) so that iasR = iasL . It should be pointed out that the
material presented herein shows the fundamental example. Extensions of this material include paralleling multi-
level phases, combining the parallel topology with an H-bridge structure, and paralleling more than two phases.
B. Reactor current sharing:
For the parallel topology shown in Figure 3, the redundant states can be used to ensure current sharing
in the reactor. The digital flag input for the a-phase is
Similar current sharing flags are defined for the b- and c-phase. In this topology, the lowest sa = 0 and
highest sa = 2 switching states do not affect the reactor current balance. This is fortunate, since there is no
redundancy available for these states. The middle state affects the reactor current sharing, but has redundancy
according to Table-1. The redundant choice to be placed in the RSS table is straightforward according to the
discussion in the previous section about the inter-phase reactor. Specifically, the transistors can be set to TaR =
IaLR and TaL = 1− I aLR when sa* = 1.
The load was a 20 kW induction motor operating at rated power. As can be seen, the left and right side
of the reactor share the phase current equally. At one point in the study, the RSS is turned off and only one of
the redundant states is used. As can be seen, the reactor currents become unbalanced until the RSS is turned on
again. Another method of switching this type of inverter is to alternate back and forth between the redundant
states. In this case, the balance will be decent, but there will be some drift from the perfect current sharing case.
Therefore, an active RSS control is recommended.
III. ACTIVE VOLTAGE BALANCING
The way the individual DC sources are synthesized to construct the cumulative inverter output voltage
using staircase modulation method. If the same pattern of duty cycles is used on a motor drive continuously,
then one battery is cycled on for a much longer duration than another thus discharging sooner. Since the
switches do not share the same load during the construction of the multi level waveform, the gate triggering of
these switches must be rotated to actively share the duty cycle. However, by using a switching pattern swapping
scheme among the various levels, all batteries will be equally used charged and/or discharged. The combination
of the 180° conducting method or staircase modulation method and the pattern-swapping scheme make the
cascade inverter’s voltage and current stresses the same and battery voltage balanced.
IV. EXPERIMENTAL RESULTS
The Matlab/Simulink model of the proposed inverter for 27 level output is shown in Figure.5.
Simulation is performed for the proposed circuit with MATLAB/SIMULINK. It is clear that as the number of
level increases, distortion reduces as shown in the figure.6 (a) and (b).
A New Hybrid 27-Level Cascaded Multilevel Inverter Fed Induction Motor Drive With Low Common...
34
Fig. 5 Simulation diagram of proposed system.
(a)
(b)
(c)
Fig. 6 (a) Three phase output voltage of Multilevel inverter.(b) Line voltage waveform.
(c) Common mode voltage in the 27 level inverter.
Fig. 7 Stator current waveform of motor
Fig. 8 Speed of motor
A New Hybrid 27-Level Cascaded Multilevel Inverter Fed Induction Motor Drive With Low Common...
35
V. CONCLUSION
In this paper a new topology is presented to reduce the common mode voltage, shaft voltages and
bearing currents, without the use of PWM techniques. The most important feature of the system is being
convenient for expanding and increasing 27 number of output levels with very low harmonic content which
theoretically allow high efficiency to be achieved. This paper also focuses on the voltage balancing which plays
an important role when we are dealing with the asymmetric topologies. Simulation results were obtained from
Matlab/simulink to simulate 27-levels of output voltage and the parameters of the drive.
REFERENCES
[1] H. Kuhn, N. E. Ruger, and A. Mertens, "Control Strategy for Multilevel Inverter with Non-ideal DC
Sources," in Proceeding of IEEE PESC’07, 2007, pp. 632-638.
[2] J. I. Leon, R. Portillo, S. Vazquez, J. J. Padilla, L. G. Franquelo, and J. M. Carrasco, “Simple unified
approach to develop a time-domain modulation strategy for single-phase multilevel converters,” IEEE
Transactions on Ind. Electron., vol. 55, No. 9, pp. 3239-3248, September 2008.
[3] S. Chen, T. A. Lipo, and D. Fitzgerald, “Source of induction motor bearing currents caused by PWM
inverters,” IEEE Trans. Energy Converters., vol. 11, no. 1, pp. 25–32, Mar. 1996.
[4] D. Macdonald and W. Gray, “PWM drive related bearing failures,” IEEE Ind. Appl. Mag., vol. 5, no. 4,
pp. 41–47, Jul. Aug. 1999.
[5] D. Busse, J. Erdman, R. J. Kerkman, D. Schlegel, and G. Skibinski, “Bearing currents and their
relationship to PWM drives,” IEEE Trans. Power Electron., vol. 12, no. 2, pp. 243–252, Mar. 1997.
[6] M. J. Costello, “Shaft voltages and rotating machinery,” IEEE Trans. Ind. Appl., vol. 29, no. 2, pp.
419–426, Mar.–Apr. 1993.
[7] S. Mariethoz and A. Rufer, "New configurations for the three-phase asymmetrical multilevel inverter,"
in IEEE 39th
IAS Annual Meeting., 2004, pp. 828-835.
[8] Zh. Du, L. M. Tolbert, J. N. Chiasson, B. Ozpineci, Hui Li, and A. Q. Huang, "Hybrid cascaded H-
bridges multilevel motor drive control for electric vehicles," in Proceeding of IEEE PESC’06, 2006,
pp. 1-6.
[9] F. E. Miguel, "Cascaded H-Bridge Multilevel Active Compensator," in 10th IEEE International Power
Electronics
Congress, 2006, pp. 1-6.
[10] P. Lezana and J. Rodriguez, "Mixed multicell cascaded multilevel inverter," in Proceeding of IEEE
ISIE’07., 2007, pp. 509-514.
[11] J. Dixon, and L. Morán, “High-level multistep inverter optimization using a minimum number of
power transistors,” IEEE Transaction on Power Electron., vol. 21, No. 2, pp. 330-337, March 2006.
[12] K. Ding, Yun-ping Zou, Zh. Wang, Zhi-chao Wu, and Y. Zhang, "A novel hybrid diode-clamped
cascade multilevel converter for high power application," in Proceeding of 39th IEEE IAS’04., 2004,
pp. 820-827 vol.2.
[13] M. Malinowski and S. Stynski, "Simulation of single-phase cascade multilevel PWM converters," in
the International Conference on Computer as a Tool, EUROCON , 2007, pp. 1524-1529.
[14] N. Celanovic and D. Boroyevich, "A comprehensive study of neutral-point voltage balancing problem
in three-level neutral-point-clamped voltage source PWM inverters," IEEE Transactions on Power
Electron., vol. 15, pp. 242-249, 2000.
[15] A. Shukla, A. Ghosh, and A. Joshi, “Improved multilevel hysteresis current regulation and capacitor
voltage balancing schemes for flying capacitor multilevel inverter,” IEEE Transactions on Power
Electron., vol. 23, No. 3, pp. 518-529, March 2008.
[16] L. Zhang and S. J. Watkins, "Capacitor voltage balancing in multilevel flying capacitor inverters by
rule-based switching pattern selection," IET Electric Power Applications, vol. 1, pp. 339-347, 2007.
[17] A. Nami, F. Zare, G. Ledwich, A. Ghosh, and F. Blaabjerg, "A new configuration for multilevel
converters with diode clamped topology," in Proceeding of IEEE IPEC’07., 2007, pp. 661-665.
[18] F. Zare and G. Ledwich, "A new predictive current control technique for multilevel converters," in
Proceeding of IEEE TENCON ‘06., 2006, pp. 1-4.

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International Journal of Engineering Research and Development

  • 1. International Journal of Engineering Research and Development e-ISSN: 2278-067X, p-ISSN: 2278-800X, www.ijerd.com Volume 10, Issue 4 (April 2014), PP.29-35 29 A New Hybrid 27-Level Cascaded Multilevel Inverter Fed Induction Motor Drive With Low Common Mode Voltage Ch.Sajan1 , T. Praveen Kumar2 , T.Shiva3 , B.Rajashekar4 1 Associate Professor, Department of EEE, Jyothishmathi Institute of Technology and Science, Karimnagar, Andhra Pradesh, India. 2 Associate Professor, Department of EEE, Jyothishmathi Institute of Technology and Science, Karimnagar, Andhra Pradesh, India. 3 Assistant Professor, Department of EEE, Jyothishmathi Institute of Technology and Science, Karimnagar, Andhra Pradesh, India. 4 M.Tech Student, Department of EEE, Jyothishmathi Institute of Technology and Science, Karimnagar, Andhra Pradesh, India. Abstract:- Hybrid cascade multilevel inverters combine semiconductor devices of different voltage ratings and technologies, which theoretically allow high efficiency to be achieved. This paper deals with new hybrid multilevel inverter fed induction motor drive. It focuses on asymmetrical topologies, and introduces 27-level inverter fed Induction motor drive. The total harmonic distortion (THD) is reduced with more number of steps in output voltage without using pulse width modulation techniques. A new method is proposed to reduce the common mode voltage and bearing currents. This paper also focuses on the voltage balancing. Simulation results obtained from Matlab/simulink to simulate 27-levels of voltage and the parameters of the drive. Keywords:- Cascaded multilevel inverter, Induction motor drive, Common mode voltage, Bearing currents, Total harmonic distortion. I. INTRODUCTION In recent years multilevel inverters have became a very interesting field of study in what regards their industrial application. These converters allow the synthesizing of a sinusoidal voltage waveform starting from several levels of dc voltages. However, besides that advantage there are other important advantages such as, reduced switching losses, low dv/dt's and reduced common mode voltages. Due to these characteristics several multilevel inverter topologies have been developed and studied. Recent advances in power switching devices enabled the suitability of multilevel inverters for high voltage and high power applications because they are connecting several devices in series without the need of component matching. Cascaded H-Bridge inverters can be classified into two types based on the amplitudes of the DC sources used. They are: symmetrical multilevel inverters in which sources are of equal amplitudes and asymmetrical multilevel inverters in which sources are of different amplitudes. Compared to symmetrical multilevel inverter it can be seen that asymmetrical multilevel inverters can generate more voltage levels and higher maximum output voltage with the same number of bridges. The asymmetric multilevel inverter can produce N=2n+1 -1, levels (n is the number of sources and N is the number of levels in the inverter output). The main advantage of the asymmetric configuration is that if minimizes the redundant output levels. The outputs of dc–ac converters contain common-mode voltage switched at high frequencies with voltage magnitudes that are comparable to the inverter pole voltages. High frequency switching of the common- mode voltage in the induction motor causes several issues like leakage currents through the stray capacitance between the winding and the body of the motor and create shaft voltages causing bearing currents resulting in bearing failures of the motors[3]–[6]. The effects of common-mode voltage are much more adverse in the case of medium- and high-voltage drives due to high frequency switching of common-mode voltage in the order of few kilovolts. High dV/dt switching in common-mode voltage causes breakdown of bearing lubricant insulation and causes pitting in the bearing surfaces. This leads to quick failure of bearings.
  • 2. A New Hybrid 27-Level Cascaded Multilevel Inverter Fed Induction Motor Drive With Low Common... 30 Fig. 1 Basic new hybrid inverter scheme. The inverter 3s different voltages (e.g. an inverter with s=3 cells can generate 33 =27 different voltage levels. The basic new hybrid inverter structure for one phase is shown in fig:1. This multilevel inverter consists of series connected cells. Each cell consists of a 4-switch H-bridge voltage source inverter. The output inverter voltage is obtained by summing the cell contributions. I.PROPOSED TOPOLOGY In the proposed topology, the magnitude of the dc voltage sources differs from one unit to another. Fig. 2: Proposed new hybrid inverter scheme for 27 level output voltage. The new Hybrid multilevel inverter consists of full bridge modules which have the relationship of 1v,3v,9v….3n-1 for dc link voltage. The output waveform has 27 levels. The following table.1 shows the appropriate switching sequence of getting 27 level output voltage at the inverter terminals.
  • 3. A New Hybrid 27-Level Cascaded Multilevel Inverter Fed Induction Motor Drive With Low Common... 31 Table. I. Switching sequence of cascaded multilevel inverter for 27 level output voltage. V out 1Vdc 3Vdc 9Vdc -13 Vdc N N N -12 Vdc O N N -11 Vdc P N N -10 Vdc N O N -9 Vdc O O N -8 Vdc P O N -7 Vdc N P N -6 Vdc O P N -5 Vdc P P N -4 Vdc N N O -3 Vdc O N O -2 Vdc P N O -1 Vdc N O O 0 Vdc O O O +1 Vdc P O O +2 Vdc N P O +3 Vdc O P O +4 Vdc P P O +5 Vdc N N P +6 Vdc O N P +7 Vdc P N P +8 Vdc N O P +9 Vdc O O P +10Vdc P O P +11Vdc N P P +12Vdc O P P +13Vdc P P P II. REDUCTION OF COMMON MODE VOLTAGE The common-mode voltage is an average of the phase voltages. The common-mode voltage, and especially rapid changes in it, is one of the reasons for bearing currents in the drives, and is therefore harmful. A rapid change in the common-mode voltage is induced in the motor every time when only one of the phases changes its output voltage level. If the motor terminal voltage oscillates after the switching, the common-mode voltage will also oscillate. With multilevel inverters, it is possible to arrange the phase voltages so that the common mode voltage will be zero at all times. This is based on the fact that some nodes on the voltage hexagon lattice have such redundant switching states that the sum of the phase voltages is zero. The new method proposed here to keep common mode voltage zero is given by parallel phase topology. A. Parallel phase topology Since nearly all multilevel inverters involve effective series connection of transistor devices, parallel connection of inverter poles through inter-phase reactors. However, the multilevel features and redundancy were noted by researchers some time ago. One advantage of parallel connection is that the devices share current and this topology is good for high current loads. It is also reasonable to perform parallel combinations of diode- clamped poles so that the transistor voltage and current ratings are reduced. This structure has the advantage of providing a high number of voltage levels while reducing the voltage and current stress on the individual transistors and hence the common mode voltage oscillations are low with proper voltage balancing. Fig. 3 shows a three-phase inverter made from parallel two-level poles. The inter-phase reactor is similar to a typical transformer with the exception that an air-gap exists in the core to ensure linearity and the windings are such that the resistance and leakage inductances are small. With these assumptions, the reactor will have equal voltages on each half meaning that the line-to-ground voltage is the average of that of each of the two-level poles. Then the general relationships for the a-phase can be listed as in Table-II.
  • 4. A New Hybrid 27-Level Cascaded Multilevel Inverter Fed Induction Motor Drive With Low Common... 32 Fig. 3 Parallel phase multilevel inverter topology Table. II. Parallel inverter relationships. The a-phase line-to-ground voltage can be expressed in terms of the transistor signals by Vag=1/2(TaL+TaR)Vdc (1) For ideal operation, the reactor currents should be equal iasR = iasL . In practice, this is easy to ensure since the redundant states can be selected to drive the common mode reactor current to zero. To understand the operation of the inter-phase reactor, it can be replaced by the model shown in Fig. 4. Fig. 4 Model of inter-phase reactor This model is derived from the standard transformer model with the resistance and leakage inductance set to zero. As it turns out, the transformer model is better suited for the reactor since the reactor contains an air- gap yielding negligible core losses. The 1:1 transformers in Figure:4 are ideal and thus ensure that each side of the reactor will have the same voltage. This magnetizing voltage can be expressed in terms of the transistor signals and dc voltage as Vam=1/2(TaL-TaR)Vdc (2) From (2), the magnetizing current can be calculated by P.iam=Vam/Lm (3) Sa TaL TaR Vag iadc 0 0 0 0 0 1 0 1 Vdc/2 iasR 1 0 Vdc/2 iasL 2 1 1 Vdc ias
  • 5. A New Hybrid 27-Level Cascaded Multilevel Inverter Fed Induction Motor Drive With Low Common... 33 Once the magnetizing current is known, the left and right reactor currents can be found by solving the two unknowns from the two KCL equations Ias L-iasR=iam (4) Ias L+iasR=ias (5) Considering (2), it can be seen that the redundant states in Table-1 can make the magnetizing voltage positive or negative effecting the change in iam according to (3). This can be used to control iam to zero yielding zero common mode current according to (4) so that iasR = iasL . It should be pointed out that the material presented herein shows the fundamental example. Extensions of this material include paralleling multi- level phases, combining the parallel topology with an H-bridge structure, and paralleling more than two phases. B. Reactor current sharing: For the parallel topology shown in Figure 3, the redundant states can be used to ensure current sharing in the reactor. The digital flag input for the a-phase is Similar current sharing flags are defined for the b- and c-phase. In this topology, the lowest sa = 0 and highest sa = 2 switching states do not affect the reactor current balance. This is fortunate, since there is no redundancy available for these states. The middle state affects the reactor current sharing, but has redundancy according to Table-1. The redundant choice to be placed in the RSS table is straightforward according to the discussion in the previous section about the inter-phase reactor. Specifically, the transistors can be set to TaR = IaLR and TaL = 1− I aLR when sa* = 1. The load was a 20 kW induction motor operating at rated power. As can be seen, the left and right side of the reactor share the phase current equally. At one point in the study, the RSS is turned off and only one of the redundant states is used. As can be seen, the reactor currents become unbalanced until the RSS is turned on again. Another method of switching this type of inverter is to alternate back and forth between the redundant states. In this case, the balance will be decent, but there will be some drift from the perfect current sharing case. Therefore, an active RSS control is recommended. III. ACTIVE VOLTAGE BALANCING The way the individual DC sources are synthesized to construct the cumulative inverter output voltage using staircase modulation method. If the same pattern of duty cycles is used on a motor drive continuously, then one battery is cycled on for a much longer duration than another thus discharging sooner. Since the switches do not share the same load during the construction of the multi level waveform, the gate triggering of these switches must be rotated to actively share the duty cycle. However, by using a switching pattern swapping scheme among the various levels, all batteries will be equally used charged and/or discharged. The combination of the 180° conducting method or staircase modulation method and the pattern-swapping scheme make the cascade inverter’s voltage and current stresses the same and battery voltage balanced. IV. EXPERIMENTAL RESULTS The Matlab/Simulink model of the proposed inverter for 27 level output is shown in Figure.5. Simulation is performed for the proposed circuit with MATLAB/SIMULINK. It is clear that as the number of level increases, distortion reduces as shown in the figure.6 (a) and (b).
  • 6. A New Hybrid 27-Level Cascaded Multilevel Inverter Fed Induction Motor Drive With Low Common... 34 Fig. 5 Simulation diagram of proposed system. (a) (b) (c) Fig. 6 (a) Three phase output voltage of Multilevel inverter.(b) Line voltage waveform. (c) Common mode voltage in the 27 level inverter. Fig. 7 Stator current waveform of motor Fig. 8 Speed of motor
  • 7. A New Hybrid 27-Level Cascaded Multilevel Inverter Fed Induction Motor Drive With Low Common... 35 V. CONCLUSION In this paper a new topology is presented to reduce the common mode voltage, shaft voltages and bearing currents, without the use of PWM techniques. The most important feature of the system is being convenient for expanding and increasing 27 number of output levels with very low harmonic content which theoretically allow high efficiency to be achieved. This paper also focuses on the voltage balancing which plays an important role when we are dealing with the asymmetric topologies. Simulation results were obtained from Matlab/simulink to simulate 27-levels of output voltage and the parameters of the drive. REFERENCES [1] H. Kuhn, N. E. Ruger, and A. Mertens, "Control Strategy for Multilevel Inverter with Non-ideal DC Sources," in Proceeding of IEEE PESC’07, 2007, pp. 632-638. [2] J. I. Leon, R. Portillo, S. Vazquez, J. J. Padilla, L. G. Franquelo, and J. M. Carrasco, “Simple unified approach to develop a time-domain modulation strategy for single-phase multilevel converters,” IEEE Transactions on Ind. Electron., vol. 55, No. 9, pp. 3239-3248, September 2008. [3] S. Chen, T. A. Lipo, and D. Fitzgerald, “Source of induction motor bearing currents caused by PWM inverters,” IEEE Trans. Energy Converters., vol. 11, no. 1, pp. 25–32, Mar. 1996. [4] D. Macdonald and W. Gray, “PWM drive related bearing failures,” IEEE Ind. Appl. Mag., vol. 5, no. 4, pp. 41–47, Jul. Aug. 1999. [5] D. Busse, J. Erdman, R. J. Kerkman, D. Schlegel, and G. Skibinski, “Bearing currents and their relationship to PWM drives,” IEEE Trans. Power Electron., vol. 12, no. 2, pp. 243–252, Mar. 1997. [6] M. J. Costello, “Shaft voltages and rotating machinery,” IEEE Trans. Ind. Appl., vol. 29, no. 2, pp. 419–426, Mar.–Apr. 1993. [7] S. Mariethoz and A. Rufer, "New configurations for the three-phase asymmetrical multilevel inverter," in IEEE 39th IAS Annual Meeting., 2004, pp. 828-835. [8] Zh. Du, L. M. Tolbert, J. N. Chiasson, B. Ozpineci, Hui Li, and A. Q. Huang, "Hybrid cascaded H- bridges multilevel motor drive control for electric vehicles," in Proceeding of IEEE PESC’06, 2006, pp. 1-6. [9] F. E. Miguel, "Cascaded H-Bridge Multilevel Active Compensator," in 10th IEEE International Power Electronics Congress, 2006, pp. 1-6. [10] P. Lezana and J. Rodriguez, "Mixed multicell cascaded multilevel inverter," in Proceeding of IEEE ISIE’07., 2007, pp. 509-514. [11] J. Dixon, and L. Morán, “High-level multistep inverter optimization using a minimum number of power transistors,” IEEE Transaction on Power Electron., vol. 21, No. 2, pp. 330-337, March 2006. [12] K. Ding, Yun-ping Zou, Zh. Wang, Zhi-chao Wu, and Y. Zhang, "A novel hybrid diode-clamped cascade multilevel converter for high power application," in Proceeding of 39th IEEE IAS’04., 2004, pp. 820-827 vol.2. [13] M. Malinowski and S. Stynski, "Simulation of single-phase cascade multilevel PWM converters," in the International Conference on Computer as a Tool, EUROCON , 2007, pp. 1524-1529. [14] N. Celanovic and D. Boroyevich, "A comprehensive study of neutral-point voltage balancing problem in three-level neutral-point-clamped voltage source PWM inverters," IEEE Transactions on Power Electron., vol. 15, pp. 242-249, 2000. [15] A. Shukla, A. Ghosh, and A. Joshi, “Improved multilevel hysteresis current regulation and capacitor voltage balancing schemes for flying capacitor multilevel inverter,” IEEE Transactions on Power Electron., vol. 23, No. 3, pp. 518-529, March 2008. [16] L. Zhang and S. J. Watkins, "Capacitor voltage balancing in multilevel flying capacitor inverters by rule-based switching pattern selection," IET Electric Power Applications, vol. 1, pp. 339-347, 2007. [17] A. Nami, F. Zare, G. Ledwich, A. Ghosh, and F. Blaabjerg, "A new configuration for multilevel converters with diode clamped topology," in Proceeding of IEEE IPEC’07., 2007, pp. 661-665. [18] F. Zare and G. Ledwich, "A new predictive current control technique for multilevel converters," in Proceeding of IEEE TENCON ‘06., 2006, pp. 1-4.