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Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two- level Inverters and H- bridge cells K. Siva Kumar CEDT, IISc, Bangalore CEDT, Indian Institute of Science Bangalore 1

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Page 1: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-

level Inverters and H-bridge cells

K. Siva Kumar

CEDT, IISc, Bangalore

CEDT, Indian Institute of Science Bangalore 1

Page 2: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

Overview of the presentation

Introduction Proposed three-level inverter scheme Experimental results Proposed Five-level inverter schemes Experimental results Conclusion

CEDT, Indian Institute of Science Bangalore 2

Page 3: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

INTRODUCTION

CEDT, Indian Institute of Science Bangalore 3

Page 4: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 4

The induction motor is called as a work horse of the industry

The induction motor requires a variable voltage magnitude and frequency to control the rotor speed

Conventional two-level inverter

Page 5: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 5

Inverter pole voltage (sine-triangle PWM)Normalized harmonics spectrum of pole voltage

The harmonic components in the inverter pole voltage are present at higher (switching) frequencies

The popular PWM control scheme is space vector pulse width modulation (SVPWM) technique

Space vector (Vr) is nothing but a resultant representation of all three phase voltage phasors and it is defined as

j120° j240°r AO BO COV =v +v e +v e

Page 6: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 6

space vector diagram of conventional two-level inverter

The symbols ‘+’ and ‘-’ respectively indicate that the top switch and the bottom switch in a given phase leg are turned on

The conventional two-level inverter has to switch at higher frequencies to get a better harmonic profile at the inverter output voltage

But in high power applications, high switching frequency is generally not preferred because of the high switching losses and large dv/dt.

Page 7: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 7

This dv/dt effect causes EMI problem in the motor and increases stress on the motor winding

To overcome these disadvantages, many multilevel inverter configurations and associated analysis of PWM techniques have been suggested

The most significant advantages of the multi-level inverters compared to two-level inverters

It is possible to use power semiconductor devices of lower voltage ratings to realize high voltage levels at inverter output

It is possible to obtain refined output voltage waveforms and reduced total harmonic distortion (THD)

It is possible to reduce the EMI problems by reducing the switching dv/dt

Page 8: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 8

Multilevel Voltage Source Inverter

One phase leg of general n-level inverter

The most popular topologies to realize the multilevel inverters are

Neutral Point Clamped (NPC) topology Cascaded H-bridge (CHB) topology Flying capacitor (FC) topology

Page 9: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 9

Multi-level Inverter topologies feeding from one side of the induction motor

NPC inverte

r

FC inverte

r

H-Bridge inverter

Page 10: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 10

Multi-level inverters with open-end winding induction motor

The concept of multilevel inverters with open-end winding is introduced by H. Stemmler and P. Guggenbach in the year 1993

The three-level inverter topology can be realized by feeding an open-end winding induction motor with two two-level inverter from both sides of the winding

Three-level inverter topology for open-end winding induction motor

Page 11: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 11

The triplen harmonic voltage introduced by the PWM inverters will cause triplen harmonic currents in the motor phase windings, because of the lake of isolated neutral

This topology requires either harmonic filter or isolated dc-link voltages to prevent triplen harmonic currents flowing through the motor phase windings

The dc-link voltage requirement for each inverter Vdc/2, which is half the dc-link voltage of conventional three-level inverter fed IM drive

But the radii of the combined voltage vector hexagon will be Vdc

This multilevel inverter topology is free from capacitor voltage balancing issues

Page 12: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 12

Many interesting multi level inverter topologies are proposed by various research groups across the world from industry and academic institutions

Apart from the conventional 3-level NPC and H-bridge topology, others are not yet highly preferred for general high and medium power drives applications

In this respect, two different five-level inverter topologies and one three-level inverter topology for high power induction motor drive applications are proposed

Motivation

Page 13: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 13

A Dual Two-Level Inverter scheme for a Four-Pole Induction Motor Drive with a single voltage

source

Part - 1

Page 14: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 14

Induction machine stator winding arrangement Stator winding of an induction machine is an arrangement of

conductors in the machine slots to produce nearly sinusoidal air gap MMF

Four pole induction motor stator winding (full pitch) diagram The conductors in the slots 1 to 3 and 19 to 21 should have the

same voltage profile to produce identical magnetic poles Similarly the conductor in the slots 10 to 12 and 28 to 30 should

have the same voltage profile

Page 15: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 15

In a four pole induction motor, two sets of identical voltage profile coils will be present in the total phase winding, at a phase displacement of 360o (electrical)

The identical voltage profile winding coils (or pole pair winding coils) in the stator winding will equally share the applied voltage vector

Voltage vector distribution in the four pole induction machine winding

Page 16: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 16

These identical voltage profile winding coils can be disconnected from a conventional four pole induction machine without any design change

Modified four pole induction motor stator winding diagram

Coil connection after the identical pole pair winding disconnection

Page 17: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 17

These two identical voltage profile coil groups can be connected in parallel instead of series, thereby the voltage vector Vr/2 is sufficient to drive the four pole induction motor with the same air gap flux profile

With this arrangement the dc-link voltage magnitude requirement will come down to half compared to the conventional arrangement

From the above discussion one can observe that, it is sufficient to feed the disconnected pole pair winding coils with the same fundamental voltage to get a performance similar to the conventional induction motor

Page 18: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 18

Three-level voltage space vector generation for an open-end winding induction motor

drive with single voltage source using decoupled space-vector PWM strategy

Proposed three-level inverter with one active source for four-pole induction motor drive

Cont..

Page 19: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 19

The two identical voltage profile, pole pair winding coils, in each phase of a four pole induction motor, is connected in two star groups

These two star connected winding coil groups are fed from two inverters

But these two inverters should produce the same fundamental voltage on the motor pole pair winding to generate uniform air gap flux

So a decoupled space-vector PWM scheme is used to drive the inverters

inverter-I and inverter-II are operated with a reference voltage space vector of Vr/2 and –Vr/2

Page 20: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 20

Space vector diagram of the two inverters

Space vector diagram of three-level inverter

Page 21: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 21

Using the decoupled PWM technique the voltage reference is equally divided in to two new reference vectors for two two-level inverters to generate the same fundamental voltage

In a switching time period Ts the voltage vectors OA and OA’ can be generated with a sequence of switching states 8-1-2-7 for inverter-I and 8’-5’-4’-7’ for inverter-II

The resultant switching sequence is 88’-15’-25’-24’-77’

Timing distribution of the switching states for two inverters in one sampling interval

Page 22: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 22

Maximum modulation index

1 ( ) max

2* (max)

3 2r

A O Avg

Vv

1 ( )

2* *cos(30) 0.289

3 2dc

A O Avg DC

Vv V

Similarly

4 ( )

2*( )*cos(30) 0.289

3 2dc

A O Avg DC

Vv V

1 4 10 40 0.289 ( 0.289 ) 0.577A A A A dc dc dcv v v V V V

The proposed topology is capable of producing a maximum phase voltage of 0.577Vdc in linear modulation with a single dc link voltage of Vdc/2

So in the proposed scheme, the dc-bus utilization is increased by 15% compared to the earlier schemes presented with a single voltage source

Resultant Phase voltage

Page 23: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 23

Experimental results

The proposed topology are experimentally verified on a 5 H.P four pole induction motor (pole pair winding disconnected) drive

The drive is operated in open loop V/f control for different voltage reference covering the entire speed range

A decoupled space vector PWM scheme is used to generate the switching pulses

The inverter switching frequency is kept at 1 kHz for the entire speed range

The controller is implemented on TMS320F2812 DSP platform

Page 24: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 24

Block diagram of V/f control scheme used for the proposed three-level inverter topology

The modulation index (M) given by the Vr/Vdc, so at the end of linear modulation M equal is to 0.866

Page 25: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 25

Experimental results for modulation index 0.4 (i.e. 20Hz operation)

pole voltages

phase voltage

Phase currents

[Y-axis: 100V/div]

[Y-axis: 200V/div]

[Y-axis: 2A/div, X-axis: 10ms/div]

Normalized harmonic spectrum of the two inverters pole voltages

CKT DIG

Page 26: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 26

Phase voltage [Y-axis: 200V/div]

common mode voltage [Y-axis:

100V/div]

Effective phase voltage [Y-axis: 200V/div, X-axis:

10ms/div]

Normalized harmonic spectrum of the effective phase voltage

phase currents

effective phase current

The first center band harmonics are completely eliminated

Page 27: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 27

Experimental results for modulation index 0.8 (i.e. 40Hz operation)

pole voltages

phase voltage

Phase currents

[Y-axis: 100V/div]

[Y-axis: 200V/div]

[Y-axis: 2A/div, X-axis: 10ms/div]

Normalized harmonic spectrum of the two inverters pole voltages

The first centre band harmonics appear at 25 (1000Hz/40Hz) times the fundamental frequency

The isolated neutral presented in the proposed topology will not allow the triplen currents to flow through the motor phase windings

Page 28: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 28

Phase voltage [Y-axis: 200V/div]

common mode voltage [Y-axis:

100V/div]

Effective phase voltage [Y-axis: 200V/div, X-axis:

10ms/div]

Normalized harmonic spectrum of the effective phase voltage

phase currents

effective phase current

The first center band harmonics are completely eliminated

the ripple content in the two currents are approximately equal in magnitude with opposite direction

Page 29: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 29

Experimental results for over modulationpole voltages

phase voltage

Phase currents

[Y-axis: 100V/div]

[Y-axis: 200V/div]

[Y-axis: 2A/div, X-axis: 10ms/div]

Normalized harmonic spectrum of the two inverters pole voltages

The first center band harmonics appear at approximately 21 (1000Hz/47Hz) times the fundamental frequency

Because of this square wave operation fifth and seventh harmonic will be presented in the inverter pole voltages

Page 30: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 30

Phase voltage [Y-axis: 200V/div]

common mode voltage [Y-axis:

100V/div]

Effective phase voltage [Y-axis: 200V/div, X-axis:

10ms/div]

Normalized harmonic spectrum of the effective

phase voltage

From the above results it is clear that, for full modulation range the first center band harmonics are suppressed in the effective motor phase voltage

Page 31: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 31

The identical voltage profile winding coils are disconnected and connected in two star groups

These star connected phase windings are fed from independently controlled inverters

The two inverters are fed from a single dc-link voltage source (The isolated neutrals provided by two star winding groups will not allow the triplen currents to flow through the motor phase windings)

The first center band harmonics are at two times the carrier frequency

The implementation of the proposed scheme does not necessitate any special design requirements for the induction motor

It can be extended to induction motor with number of poles more than four

Salient features

Page 32: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 32

A Five Level Inverter Scheme for a Four Pole Induction Motor Drive by

Feeding the Identical Voltage Profile Windings from Both Sides

Part - 2

Page 33: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 33

The advantages of the open-end winding structure along with identical voltage profile winding coils for a four pole induction motor are effectively utilized to realize multilevel structures using conventional two-level inverters

Proposed Five-level Inverter Power circuit

Page 34: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 34

In the proposed topology, three isolated voltage source with a magnitude of Vdc/4 (where Vdc is the dc-bus voltage required for a conventional NPC three-level inverter) is used to deny the path for zero sequence currents

The switches S11 to S46, in the above figure, are part of the two level inverters which are fed from the voltage source magnitude of Vdc/4

So the maximum voltage blocking capacity of the switches (labelled as Sxy, where x= 1 to 4 and y= 1 to 6) is Vdc/4

With the proposed topology, it is possible to switch four two-level inverters independently and thereby each inverter will have eight switching states

Therefore a total of 4096 (8x8x8x8) switching combinations are possible, which are spread over 61 locations

Page 35: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 35

Voltage space vector locations for a Five-level inverter

Note that each voltage level can be realized in a number of ways

Page 36: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 36

Voltage

magnitude (level)S11 S21 S31 S41

+Vdc/2 (2) ON OFF ON OFF

+Vdc/4 (1)

ON OFF OFF OFF

OFF OFF ON OFF

ON ON ON OFF

ON OFF ON ON

0 (0)

OFF OFF OFF OFF

OFF OFF ON ON

ON ON OFF OFF

ON ON ON ON

ON OFF OFF ON

OFF ON ON OFF

-Vdc/4 (-1)

OFF OFF OFF ON

OFF ON OFF OFF

ON ON OFF ON

OFF ON ON ON

-Vdc/2 (-2) OFF ON OFF ON

All switching combinations for the five voltage levels for a-phase

Presently, the bi-directional switches S1 to S6 , in the power circuit, are assumed to be shorted

Page 37: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 37

Schematic of possible voltage levels across the A-phase winding

Voltage level at Vdc/2

Voltage level at Vdc/4

Voltage level at 0

Voltage level at -Vdc/4

Voltage level at -Vdc/2

As mentioned above turning on the bidirectional switches (S1 to S6) permanently will cause a short circuit at the middle of motor phase windings

Page 38: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 38

It will create an unequal voltage sharing between the same winding groups and this is explained using with switching state combinations 110 and 20-1

(a)Phase winding connection to the voltage sources for switching state 110 (b) Phase winding connection to the voltage sources

for switching state 20-1

Page 39: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 39

One group of windings (i.e. A1-A2, B1-B2 and C1-C2) is fed from a voltage vector (110) and the other group of windings (i.e. A3-A4, B3-B4 and C3-C4) is fed from a zero voltage vector (000)

part of the A-phase and B-phase winding group (A1A2

& B1-B2) has a voltage of Vdc/4 across it and the other phase group has zero voltage across it

Similarly for switching state 20-1 it can be observed that, one group of windings (i.e. A1-A2, B1-B2 and C1-C2) is fed from a voltage vector (100) and the other group of windings (i.e. A3-A4, B3-B4 and C3-C4) is fed from a voltage vector (10-1)

However, for a four pole induction machine, two parts of the winding groups should have identical voltage profile for a uniform flux distribution

Therefore the present sequence with turning on the bidirectional switches will result in a distorted flux profile

From the Phase winding connection to the voltage sources for switching state 110, shown above, it can be observed that

Page 40: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 40

(a) Phase winding connection to the voltage sources with equal voltage distribution across the phase winding groups for switching state 110 using the bidirectional switches. (b) Phase winding connection to the voltage sources with equal voltage distribution across the phase winding groups for switching state 20-1 using the bidirectional switches

Page 41: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 41

Based on the above considerations it is not possible to realize all the switching combinations presented in the above table

Voltage

magnitude

(level)

S11 S21 S31 S41 S1 S2

+Vdc/2 (2) ON OFF ON OFF ON ON

+Vdc/4 (1)ON OFF OFF OFF OFF OFF

ON ON ON OFF OFF OFF

0 (0)

OFF OFF OFF OFF OFF OFF

ON ON ON ON OFF OFF

ON OFF OFF ON OFF OFF

OFF ON ON OFF OFF OFF

-Vdc/4 (-1)OFF OFF OFF ON OFF OFF

OFF ON ON ON OFF OFF

-Vdc/2 (-2) OFF ON OFF ON ON ON

Possible switching combinations

Page 42: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 42

All the voltage vector locations inside the first and second innermost hexagon can be realized with the voltage levels ‘-1’, ‘0’ and ‘1’

By using the switching state redundancy, it is possible to clamp inverter-2 and inverter-3 up to modulation index of 0.433

Where the maximum radius of the reference voltage vector within the second innermost hexagon is achieved at a modulation index of 0.433

Both the bi-directional switches, in corresponding phases, are completely turned off for the voltage levels ‘-1’, ‘0’ and ‘1’

The bi-directional switches are also need not to switch up to the modulation index 0.433 like inverter-2 and inverter-3

So in case of any switch failure in inverter-2 or inverter-3, the proposed five-level inverter can still be operated as a three-level inverter for lower modulation indices

Page 43: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 43

voltage rating of the bidirectional switches

Phase winding connection to the voltage sources for switching state 22-2, with bi-directional switches

the voltage equation for the loop (using Kirchhoff’s voltage Law) (B1 B2 X C2 C1 B1)

dcV2* 0

4 2 2b c

s

e eV

dcV1

2 4 2 2b c

s

e eV

The maximum voltage across the switch is half the voltage difference between Vdc/4 and the difference between the back emf’s of two phases

Maximum voltage appears across the bidirectional switches is Vdc/8

Page 44: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 44

Switching strategy Space vector pulse width modulation (SVPWM)

technique is used to generate gating pulses for the proposed inverter

The voltage space vector reference (Vr*) can be

generated from the motor speed requirement using V/f control

, where va, vb and vc are three phase voltages

The individual phase voltage references (va*,vb

* and vc*)

can be derived from voltage space vector To have maximum utilization of dc-bus voltage, in linear

modulation, an offset voltage is added to the three reference voltages

Voffset = -[max(va*,vb

* and vc*) + min(va

*,vb* and vc

*)]/2

van*= va*+Voffset

o oj120 j240r a b cV =v +v e +v e

Page 45: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 45

The A-phase reference voltage Van*

modulation index (M= Vr/Vdc) equal to 0.8

In actual experimental verification using a DSP it is difficult to generate four level shifted triangles

Page 46: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 46

The modified A-phase reference voltage and triangle carriers

The voltage level required by the load is released by comparing the reference wave form with carrier wave

The switching state can be select from the above mentioned table

Page 47: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 47

EXPERIMENTAL RESULTS

The proposed five-level inverter topology is experimentally verified on a 5hp four pole induction motor

The motor is run at no load condition to show the effect of changing PWM patterns on the motor current

Open loop V/f control is used to test the drive for the full modulation range

Throughout the speed range, the switching frequency is kept at 1 kHz

The controller is implemented in TMS320F2812 DSP platform

The gating signals generated from GAL22V10B

Page 48: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 48

Block diagram of V/f control scheme used for the proposed five-level inverter

topology

Page 49: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 49

Experimental results for modulation index 0.2 (i.e. 10Hz operation)

Total phase voltage

voltage across the one phase winding coils

phase current

[X-axis: 20ms/div, Y-axis: 100V/div, 1A/div]

From the phase voltage it can be noted that, the proposed inverter is operating in two-level mode

Page 50: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 50

Voltage between the point A2,A3

Inverter-1 pole voltage

Inverter-4 pole voltage

phase current

Voltage across the bidirectional switch

[X-axis: 20ms/div, Y-axis: 100V/div, 1A/div]

The inverter 1 and 4 are switching half of the period in a fundamental cycle

The negative and positive voltage peaks (across the bidirectional switch) are less than half of the inverter pole voltage peak

So the maximum voltage appear across the bidirectional switch is Vdc/8

Page 51: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 51

Total phase voltage

voltage across the one phase winding coils

phase current

[X-axis: 20ms/div, Y-axis: 100V/div, 1A/div]

From the phase voltage it can be noted that, the proposed inverter is operating in three-level mode

Experimental results for modulation index 0.4 (i.e. 20Hz operation)

Page 52: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 52

Voltage between the point A2,A3

Inverter-1 pole voltage

Inverter-4 pole voltage

phase current

Voltage across the bidirectional switch

[X-axis: 20ms/div, Y-axis: 100V/div, 1A/div]

Here also the inverter 1 and 4 are switching half of the period in a fundamental cycle

The middle inverters (i.e. Inverter 3 and 4) are not switching for full fundamental cycle

The negative and positive voltage peaks (across the bidirectional switch) are less than half of the inverter pole voltage peak

Page 53: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

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Experimental results for modulation index 0.6 (i.e. 30Hz operation)

Total phase voltage

voltage across the one phase winding coils

phase current

[X-axis: 20ms/div, Y-axis: 100V/div, 1A/div]

From the phase voltage it can be noted that, the proposed inverter is operating in four-level mode

Page 54: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

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Voltage between the point A2,A3

Inverter-1 pole voltage

Inverter-4 pole voltage

phase current

Voltage across the bidirectional switch

[X-axis: 20ms/div, Y-axis: 100V/div, 1A/div]

Inverters (inv-2 and inv-3) are switching when the other two inverters (inv-1 and inv-4) are clamped

This indicates that, at a time only two inverters are switching, in a fundamental cycle of operation

Page 55: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 55

Experimental results for modulation index 0.8 (i.e. 40Hz operation)

Total phase voltage

voltage across the one phase winding coils

phase current

[X-axis: 20ms/div, Y-axis: 100V/div, 1A/div]

From the phase voltage it can be noted that, the proposed inverter is operating in five-level mode

Page 56: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 56

Voltage between the point A2,A3

Inverter-1 pole voltage

Inverter-4 pole voltage

phase current

Voltage across the bidirectional switch

[X-axis: 20ms/div, Y-axis: 100V/div, 1A/div]

Here also inverters (inv-2 and inv-3) are switching when the other two inverters (inv-1 and inv-4) are clamped

This indicates that, at a time only two inverters are switching, in a fundamental cycle of operation

Page 57: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 57

Experimental results for over modulationTotal phase voltage

voltage across the one phase winding coilsphase current

Voltage between the point A2,A3

Inverter-1 pole voltage

Inverter-4 pole voltage

phase current

Throughout the modulation range, at a time only two inverters are switched

This will result in less switching losses, and it will increase the overall efficiency of the drive system

Page 58: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 58

Transient performance of the proposed drive

Phase voltage

Phase current

The transient performance of the proposed drive is tested by accelerating induction motor from 10Hz operation (i.e. 300rpm) to 47Hz (i.e. 1410rpm)

The smooth transition of the voltage profile from two-level to five-level can be seen from the waveforms

Page 59: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 59

Comparison between the proposed topology and conventional topologies

NPC Topology

Flying capacitor topology

H-bridge topology

Proposed topology

Switches(with a voltage rating of

Vdc/4)24 24 24 24

Clamping diodes

Voltage rating of 3*Vdc/4

6 0 0 0

Vdc/2 6 0 0 0

Vdc/4 6 0 0 0

Isolated voltage sources (voltage magnitude)

1* (Vdc) 1* (Vdc) 6 (Vdc/4) 3 (Vdc/4)

Number of capacitor banks (with a voltage

rating of Vdc/4)4 18 0 0

Bi-directional switches (voltage rating )

0 0 0 6 (Vdc/8)

Page 60: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

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Two identical voltage profile winding coils in each phase of a four pole induction motor are disconnected

The dc bus voltage magnitude requirement is one-fourth compared to a conventional five-level NPC inverter

All the inverters are switching for a maximum period of half, in a fundamental cycle

In lower modulation indices (M<0.43) the middle two inverters can be clamped for the entire period of fundamental cycle

Only conventional two-level inverters are used so this will eliminate all capacitor voltage unbalance issues normally encountered in NPC inverters

This concept can be easily extended to induction motor with number of poles more than four and thereby the number of levels on the phase winding can be further increased

Salient features

Page 61: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

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A Hybrid Five level Inverter Topology for an Open-end winding Induction Motor Drive Using Two-

Level Inverters in series with a Capacitor fed H-Bridge Cell

Part - 3

Page 62: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

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In this circuit, only one voltage source is used with a magnitude of Vdc/2 where Vdc is the dc-link voltage requirement for the conventional NPC inverter

Proposed Five-level Inverter Power circuit

Page 63: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 63

This topology is similar to an open-end winding multilevel inverter structure

In the open-end winding multilevel inverter structure, it is possible to generate a three voltage levels on phase winding by connecting two two-level inverters from both sides of the motor phase windings

This concept is further extended by introducing an additional flying capacitor with H-bridge cell in series with motor phase windings

For the present study, the flying capacitors (Ca, Cb and Cc) are charged to a voltage Vdc/4

If the two level inverters are now clamped to zero voltage, then the H-bridge cell can produce voltage levels of Vdc/4, 0 and –Vdc/4 on the motor phase winding

On the other hand, by clamping the H-Bridge cells to zero voltage, the two two-level inverters, with a voltage source magnitude of Vdc/2, can independently generate voltage levels of Vdc/2, 0 and –Vdc/2 on the phase winding

When both of them are operated together, it is possible to have five voltage levels on the motor phase windings

Page 64: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

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ALL POSSIBLE SWITCHING COMBINATIONS FOR THE FIVE VOLTAGE LEVELS FOR PHASE-A

Phase voltage

Vdc/2 Vdc/4 0 -Vdc/4 -Vdc/2

Sa1 ON ON OFF OFF ON OFF OFF OFF

Sa2 * ON OFF * * OFF ON *

Sa3 * OFF ON * * ON OFF *

Sa4 OFF OFF OFF OFF ON ON OFF ON

Capacitor Ca status Ideal

ia>0: charging

ia<0: discharging

ia>0: discharging

ia<0: charging

Ideal

ia<0: charging

ia>0: discharging

ia<0: discharging

ia>0: charging

ideal

Due to the complementary nature of the two-level inverter switches, switch Sa1 ‘ON’ automatically implies that switch S’a1 ‘OFF’

The current from A to A’ is assumed to be the positive direction of current and is shown as ia>0

Page 65: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

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There are 14 possible switching combinations for one phase to realize the five voltage levels

Therefore a total of 2744 (14x14x14) switching combinations are possible for the present work

The flying capacitors can be charged or discharged independent of the phase current direction for the voltage levels Vdc/4 and –Vdc/4 (it can be observed from the previous table)

The other voltage levels (i.e. Vdc/2, 0 and -Vdc/2) on the phase winding is achieved by bypassing the flying capacitors, so it will not affect the capacitor voltages

Page 66: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

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Common Mode Voltage

It is known that inverters controlled by conventional two-dimensional SVPWM will produce a common mode (triplen) voltage along with the fundamental voltage on the motor phase windings

The triplen harmonic content in the phase voltage would cause a high triplen harmonic current to flow through the motor phases and power semi-conductor devices

To suppress the triplen harmonic current, either harmonic filter or isolated power supplies should be used

In this proposed topology two isolated voltage sources are used to deny the path for triplen current

Page 67: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 67

Modified Five-level inverter topology

The proposed topology can be operate as a dual inverter fed open-end winding Induction motor drive (i.e. three-level operation) for full modulation range, by properly clamping the H-bridge cells

Page 68: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

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Flying Capacitor Design The performance of the proposed topology is dependent on

flying capacitor ripple voltage The capacitors can be designed properly to restrict the

ripple voltage within acceptable limits The capacitance required by the flying capacitor can be

calculated by using the formula

sp p

TTC I * I *

V V

Where C is flying capacitor (Ca, Cb or Cc)Ip is peak phase currentTs is switching time period∆V is the peak-to-peak voltage ripple allowed in the flying capacitor.

Page 69: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

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EXPERIMENTAL RESULTS

The proposed five-level inverter topology is experimentally verified on a 5hp open-end winding induction motor

The motor is run at no load condition to show the effect of changing PWM patterns on the motor current

Open loop V/f control is used to test the drive for the full modulation range

Throughout the speed range, the switching frequency is kept at 1 kHz

The flying capacitor value is chosen as 1100μF

The controller is implemented in TMS320F2812 DSP platform

The gating signals generated from SPARTAN XC3S200 FPGA

Page 70: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

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The V/f controller block schematic for proposed five-level inverter scheme

The symbols vca, vcb and vcc represents the voltage across the flying capacitors (Ca, Cb and Cc)

Page 71: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

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Experimental results for modulation index 0.2

The proposed topology is operating in three-level mode

The flying capacitor peak to peak voltage ripple is less than 1V

Flying capacitor ripple voltage [2V/div]

phase voltage [Y-axis: 50V/div]

phase current [Y-axis: 1A/div] [X-axis: 20ms/div]

Page 72: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

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inverter-1 pole voltage[Y-axis: 50v/div]

inverter-1 pole voltage

H-bridge cell output voltage

phase current [Y-axis: 1A/div] [X-axis: 20ms/div]

High voltage fed inverters (i.e. inverter-1 and inverter-2) are switching half of the period in fundamental cycle

Page 73: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

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Experimental results for modulation index 0.4

Flying capacitor ripple voltage [2V/div]

phase voltage [Y-axis: 50V/div]

phase current [Y-axis: 1A/div] [X-axis: 10ms/div]

The proposed topology is operating in three-level mode

The flying capacitor peak to peak voltage ripple is less than 1V

Page 74: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 74

inverter-1 pole voltage[Y-axis: 50v/div]

inverter-1 pole voltage

H-bridge cell output voltage

phase current [Y-axis: 1A/div] [X-axis: 10ms/div]

High voltage fed inverters (i.e. inverter-1 and inverter-2) are switching half of the period in fundamental cycle

So this will reduce the switching losses of the drive

Page 75: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 75

Flying capacitor ripple voltage [2V/div]

phase voltage [Y-axis: 50V/div]

phase current [Y-axis: 1A/div] [X-axis: 10ms/div]inverter-1 pole voltage[Y-axis: 50v/div]

inverter-1 pole voltageH-bridge cell output voltagephase current [Y-axis: 1A/div] [X-axis: 10ms/div]

The proposed topology is operating in three-level mode

Experimental results for modulation index 0.6

Page 76: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 76

Experimental results for modulation index 0.8

The flying capacitor voltage is well balanced (since, ripple voltage magnitude is less) when the inverter is operating at five-level mode

phase voltage [Y-axis: 50V/div]

phase current [Y-axis: 1A/div] [X-axis: 5ms/div]

inverter-1 pole voltage[Y-axis: 50v/div]

inverter-1 pole voltageH-bridge cell output voltagephase current [Y-axis: 1A/div] [X-axis: 5ms/div]

Flying capacitor ripple voltage [2V/div]

Page 77: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 77

Normalized harmonic spectrum of the motor phase voltage

The first centre band harmonics is present at 25 (1000Hz/40Hz) times the fundamental frequency

the peak harmonic voltage magnitude is around 8% and it is placed at 50 times of the fundamental frequency, thereby the effect of this harmonic voltage on motor phase current is insignificant

Page 78: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

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Flying capacitor ripple voltage [2V/div]

phase voltage [Y-axis: 50V/div]

phase current [Y-axis: 1A/div] [X-axis: 5ms/div]

inverter-1 pole voltage[Y-axis: 50v/div]

inverter-1 pole voltageH-bridge cell output voltagephase current [Y-axis: 1A/div] [X-axis: 5ms/div]

Experimental results for over modulation

The H-bridge capacitor voltage is well balanced (since, ripple voltage magnitude is less) when the inverter is operating at over modulation

Page 79: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 79

Transient performance of the proposed drive

Transient performance of the proposed scheme during speed reversal operation of the drive

The capacitor voltage is balanced for the full modulation range Even though the accelerating and decelerating the motor draws

current much more than the steady state operation, yet the capacitor voltage is balanced for the full modulation range

Page 80: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

CEDT, Indian Institute of Science Bangalore 80

Comparison between the proposed topology and conventional topologies

NPC Topology

Flying capacitor topology

H-bridge topology

Proposed topology

Switches

voltage rating of

Vdc/424 24 24 12

Vdc/2 0 0 0 12

Clamping diodes

Voltage rating of 3*Vdc/4

6 0 0 0

Vdc/2 6 0 0 0Vdc/4 6 0 0 0

Isolated voltage sources (voltage magnitude)

1* (Vdc) 1* (Vdc) 6 (Vdc/4) 2 (Vdc/2)

Number of capacitor banks (with a voltage

rating of Vdc/4)4 18 0 3

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The concept of open-end winding structure is extended by adding a flying capacitor in series with motor phase winding

This results in a five level inverter topology It does not require any clamping diodes as in a

conventional five-level NPC inverter It requires only one capacitor bank for each phase,

whereas five-level flying capacitor require 6 additional capacitor banks for each phase

this proposed topology reduces the power circuit complexity compared to NPC or flying capacitor topologies

In case of any switch failure in the H-bridge cell, the proposed inverter topology can be operated as a three-level inverter for full modulation range using open-end winding concept

Salient features

Page 82: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

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Overall experimental setup

Page 83: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

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List of publications

1. K. Sivakumar, A. Das, R. Ramchand, C. Patel, K. Gopakumar, “A Five Level Inverter Scheme for a Four Pole Induction Motor Drive by Feeding the Identical Voltage Profile Windings from Both Sides”, IEEE Trans. on Industrial Electronics(accepted for publication)

2. K. Sivakumar, A. Das, R. Ramchand, C. Patel, K. Gopakumar, “A Hybrid Multilevel Inverter Topology for an Open-end winding Induction Motor Drive Using Two-Level Inverters in series with a Capacitor fed H-Bridge Cell”, IEEE Trans. on Industrial Electronics(accepted for publication)

3. K.Sivakumar, Rijil Ramchand, Anadarup das, Chintan Patel, K.Gopakumar, “Two different Schemes for Three-level Voltage Space Vector Generation for Induction Motor drives with Reduced DC-Link Voltage”, EPE( European power electronics journal),(accepted for publication and scheduled on march 2010)

4. K. Sivakumar, Anandarup Das, Rijil Ramchand, Chintan Patel, K.Gopakumar, “A Simple Five-Level Inverter Topology for Induction Motor Drive Using Conventional Two-Level Inverters and Flying Capacitor Technique”, IEEE IECON 2009, 3-5 November 2009 at Porto, Portugal.

5. K. Sivakumar, Anandarup Das, Rijil Ramchand, Chintan Patel, K.Gopakumar, “A Three Level Voltage Space Vector Generation for Open End Winding IM Using Single Voltage Source Driven Dual Two-Level Inverter”, IEEE TENCON 2009, 23-26 November 2009 at Singapore.

Page 84: Multilevel Voltage Space Vector Generation for Induction Motor Drives using Conventional Two-level Inverters and H-bridge cells K. Siva Kumar CEDT, IISc,

THANK YOU

CEDT, Indian Institute of Science Bangalore 84