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International Journal of Power Electronics and Drive System (IJPEDS)
Vol. 4, No. 1, March 2014 pp. 61~69
ISSN: 2088-8694 ļ² 61
Journal homepage: http://iaesjournal.com/online/index.php/IJPEDS
Comparative Evaluation of Generalized Multicell Impedance
Source Inverter for Drives
V Raghavendra Rajan, CS Ajin Sekhar, R Hemantha Kumar, M Sasikumar
Jeppiaar Engineering College, Anna University, Chennai ā€“ 600 119, India
Article Info ABSTRACT
Article history:
Received Nov 12, 2013
Revised Dec 28, 2013
Accepted Jan 19, 2014
Voltage-Source Inverter is limited by its only voltage step-down operation. In
adding with extra boosting the flexibility is kept active for the number of
semiconductors which is unchanged, voltage-type Z-source inverter was
earlier proposed. This new class of inverter is generally less sensitive to
electromagnetic noises. However, their boosting capabilities are anyhow less
with high component stresses and poorer spectral performances caused by
low modulation index ratios. Their boosting gains are, therefore, restricted in
practice. To overcome these we use the generalized switched-inductor Z-
source inverter is proposed, By comparing with PWM technique and SPWM
technique, whose extra boosting abilities and other advantages have been
verified in simulation analysis and experiment.
Keyword:
Multicell
PWM technique
SPWM technique
Switched Inductor
Z-source Inverter Copyright Ā© 2014 Institute of Advanced Engineering and Science.
All rights reserved.
Corresponding Author:
V Raghavendra Rajan
Department of Electrical and Electronics Engineering,
Jeppiaar Engineering College,
Rajiv Gandhi salai,
Chennai ā€“ 600 119, India
Email: raghavendrarajan.89@gmail.com
1. INTRODUCTION
Modern electrical systems like distributed generators, power conditioners, and industrial drives have
raised the importance of dcā€“ac inverters, through which energy is appropriately conditioned. Although well
established now, existing popular inverter topologies still have some constraints to resolve with the first
being their inflexible voltage or current conversion ranges. To be more precise, existing voltage-source
inverter (VSI) can only perform voltage step-down operation. Voltage and current step-up flexibility can
surely be added by connecting appropriate dcā€“dc converters to the traditional inverters, which probably
would be the most commercially viable approach because of its simplicity. Z source inverter also finds in
application in electric vehicles where drive voltage stress and controllability is a major factor [11]. Indeed,
research in Z-source inverters has progressed actively with their modulation [2], modelling [3], control [4],
[5], component sizing and applications, [7]ā€“[9] now being addressed. Recently, another interest has surfaced,
and that is to address the limited practical conversion ranges of the Z-source inverters. The Z source inverters
with intelligent control and renewable source for maximum output have also been an area of interest for
researchers [10]. Although conversion gains of the Z-source inverters are theoretically infinite, practical
issues like higher semiconductor stresses and poorer spectral performances can constrain their highest
achievable limits. These constraints are undeniably linked to the trade off between modulation ratios and
shoot through duration experienced by the Z-source inverters. Each technique has its own advantages and
disadvantages that might better suit certain applications. The final decision on which to select is, therefore,
dependent on the problems under consideration, individual judgments, preferences. The belief might have led
to the development of various dcā€“ac inverters found in the literature. Among them, the most noticeable at
present might be the voltage Z-source inverter, whose layouts are shown in Figure 1 [1]. characteristics such
ļ² ISSN: 2088-8694
IJPEDS Vol. 4, No. 1, March 2014 : 61 ā€“ 69
62
as bidirectional energy flow capability, it provides sinusoidal input and output waveform with minimum
high order harmonics and no sub harmonics, The special Z-network, comprising two capacitors and two
inductors, connected to the well known three phase bridge, as shown in Figure 1, allows working in buck or
boost modes using the ST state. The ZSI advantageously utilizes the ST states to boost the dc- link voltage by
gating on both the upper and lower switches of a phase leg. In addition, a ST state caused by Electromagnetic
Interference (EMI) noise does not destroy the circuit. Therefore a more reliable single stage power converter
for both buck and boost power conversion is obtained.
Figure 1. Topology of voltage type SL Z-Source Inverter
2. GENERALIZED MULTICELL SL TOPOLOGY
The SL topology is generalized in Figure 2, where the generic cell identified is shown at the lower
right corner. It consists of one inductor Ln and three diodes D3nāˆ’1 , D3nāˆ’2 , and D3n for the nth cell. This cell
can be duplicated 2N times (where N is an integer), divided equally between the upper and lower dc rails, and
connected as in Figure 2. Note that inductors L2N +1 and L2N +2 are not included in the generic cells, but can
rather be viewed as the original two inductors found in Figure 1 for the traditional voltage-type Z-source
inverter. It thus appears that the style of forming the generic cell allows the generalized SL topology to be
viewed as adding extra cells to the original two inductors rather than to replace them [12].
Figure 2. Topology of generalized voltage type SL Z-Source Inverter
IJPEDS ISSN: 2088-8694 ļ²
Comparative Evaluation of Generalized Multicell Impedance Source Inverter ā€¦ (V Raghavendra Rajan)
63
These cells must introduce additional inductors in parallel during shoot-through charging and more
inductors in series during nonshoot-through discharging. Features and expressions for the two processes are
summarized as follows
Shoot-Through: Initiated by turning on two switches from the same phase leg of the VSI bridge.
That causes diodes D and D3n to turn OFF, while diodes D3n-1 and D3n-2 conduct. All inductors are then
charged in parallel by the two Z-source capacitors, giving rise to a common inductive voltage of VL = VC .
Nonshoot-Through: Represented by one of the traditional active or null VSI states. In this state,
diodes D and D3n conduct, while diodes D3n-1 and D3n-2 block. All inductors then discharge in series to the
external ac load, whose common inductive voltage is written as VL =(Vdc āˆ’ VC )/(N + 1), where N + 1 is the
number of inductors in the upper or lower cascaded block. Averaging VL over a switching period to zero then
gives the following generic expressions for governing the generalized SL Z-source inverter.
1 ā€“ dST Vdc
VC = ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ (1)
1 āˆ’ (N + 2)dST
1 + NdST Vdc
Vi = ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ (2)
1 āˆ’ (N + 2)dST
M[1 + NdST] Vdc
Vac = ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ ļ‚¾ļ‚¾ļ‚¾ (3)
1 āˆ’ (N + 2)dST 2
The boost factor is given by B = (1 + NdST)/(1 āˆ’ (N + 2)dST), which can be made higher than any of
the earlier gains by adding more generic cells. The desired gain is also arrived at a reduced shoot-through
duration, whose limit is given dST < 1/(N + 2) is derived by setting the denominator of (3) to be greater than
zero. That allows a higher modulation ratio to be used since M ā‰¤ 1.15(1 āˆ’ dST). Better utilization of the dc-
link, lower component stresses, and better spectral performance linked to a high M can, therefore, be
achieved. With these characteristics, the generalized SL topology is likely to find applications in renewable
or other clean energy industry, where high boosting gain for grid interfacing is usually needed [13]. A
probable example is grid-tied photovoltaic (PV) system, whose implementation will usually involve the
sensing of Ė†vi directly or indirectly through measuring is given by VC (since Ė†vi = 2VC āˆ’ Vdc during the
nonshoot-through state).
The measured Ė†vi can then be regulated constant by adjusting M within the upper limit of 1.15(1 āˆ’
dST), while reserving dST for tracking the maximum power point of the PV source. This control arrangement is
standard for PV systems, meaning that unforeseen complication is unlikely to surface with the generalized SL
inverter[14]. With its Ė†vi regulated constant, selecting a suitable voltage rating for its semiconductors is thus
quite straightforward as long as they have the instantaneous capacity to carry the peak shoot-through current.
Other passive component sizing wise can be approached based on the same sizing requirements outlined in
[6] for the traditional Z-source inverter.
3. THREE PHASE VOLTAGE SOURCE INVERTER
The circuit diagram for three-phase VSI topology is shown in Figure 3 and the eight valid switch
states are given in Table 1. As in single- phase VSIs, the switches of any leg of the inverter (S1 and S4, S3 and
S6, or S5 and S2) cannot be switched on simultaneously because this would result in a short circuit across the
dc link voltage supply. Similarly, in order to avoid undefined states in the VSI, and thus undefined ac output
line voltages, the switches of any leg of the inverter cannot be switched off simultaneously as this will result
in voltages that will depend upon the respective line current polarity. During the states 7 & 8 (in table 1) the
ac current freewheel through either the upper or lower component which produces zero ac line voltages. The
remaining states (1 to 6 in Table 1) produce nonzero ac output voltages. The inverter moves from one state to
another to generate a required voltage waveform. Thus the resulting ac output line voltages consist of discrete
values of voltages that are Vs, 0, and -Vs for the topology shown in Figure 4. The modulating technique is
used to ensure the valid states. In this we also explain in various modes.
ļ² ISSN: 2088-8694
IJPEDS Vol. 4, No. 1, March 2014 : 61 ā€“ 69
64
Figure 3. Circuit diagram for Voltage Source Inverter
Table 1. Valid switch states for a three-phase VSI
State Switch
Vab Vbc Vca
No. States
S1, S2,
1 100 Vs 0 -Vs
S3 on
S2, S3,
2 110 0 Vs -Vs
S1 on
S3, S4,
3 010 -Vs Vs 0
S2, on
S4, S5,
4 011 -Vs 0 Vs
S3 on
S5, S6,
5 001 0 -Vs Vs
S4 on
S6, S1,
6 101 Vs -Vs 0
S5 on
S1, S3,
7 111 0 0 0
S5 on
S4, S6,
8 000 0 0 0
S2 on
The line to neutral voltage must be determined to find the line (or phase) current. There are three modes of
operation in a half ā€“ cycle and the expression for each mode will be given below,
During Mode I: (0 <t < ļ°/3)
Ā  Ā 
/
Ā  Ā , Ā  Ā  Ā  2 /3Ā Ā  (4)
During Mode II: (ļ°/3< t < 2ļ°/3)
Ā  Ā  Ā  Ā , Ā  Ā 2 /3Ā Ā  (5)
During Mode III: (2ļ°/3< t < ļ°)
Ā  Ā 
/
Ā  Ā , Ā  Ā  Ā  2 /3Ā Ā  (6)
In this consequence, the shape of the modulation index m of the power converter is very similar to
the grid voltage waveform. The output voltage of the converter can be written as Vout = mVdc. Depending on
the modulation index value, the power converter will be driven by different PWM strategies. As a matter of
fact, it is possible to identify four operating zones (see Figure 3), and for each zone [15], the output voltage
levels of the power converter will be different
IJPEDS ISSN: 2088-8694 ļ²
Comparative Evaluation of Generalized Multicell Impedance Source Inverter ā€¦ (V Raghavendra Rajan)
65
4. PULSE WIDTH MODULATION
PWM is a very efficient way of providing intermediate amounts of electrical power between fully
on and fully off. A simple power switch with a typical power source provides full power only, when switched
on. PWM is a comparatively recent technique, made practical by modern electronic power switches [3].
Figure 4. PWM for the DC line side converters
Figure 4 presents the dependence of the converter input voltage on the modulation index with
respect to the DC-link voltage. The modulation bandwidth is generally divided into the linear and the
nonlinear range. The limitation of the modulation region to the linear range is sufficient for the proper
operation of the PWM rectifier. Yet for the excellent dynamic performance of the synchronous rectifier
during the transients the operation in the over modulation range must be provided [8]. However this
technique introduces the line current distortions due its nonlinearity and may be in advisable in the
applications of the DC converters improving the electrical power quality. The issue of the modulation index
and the modulation range for the basic PWM techniques will be presented in detail in the next sections of this
paper
5. SINUSIODAL PULSE WIDTH MODULATION
There are three sinusoidal reference waves (Vra, Vrb, and Vrc) each shifted by 120o
. A carrier wave is
compared with the reference signal corresponding to a phase to generate the gating signals for that phase.
Comparing the carrier signal Vcr with the reference phases Vra, Vrb, and Vcr produces S1 and S3 respectively
as shown in Figure 5b. The instantaneous line ā€“ to ā€“ line output voltage is Vab = Vs(S1 ā€“ S3). The output
voltage as shown in Figure 5d is generated by eliminating the condition that two switching devices in the
same arm cannot conduct at the same time. The normalized carrier frequency mf should be odd multiple of
three. Thus, all phase ā€“ voltage (Van, Vbn, and Vcn) are identical, but 120o
out of phase without even
harmonics; moreover, harmonics at frequencies multiple of three are identical in amplitude and phase in all
phases. For instance, if the ninth harmonic voltage in phase ā€˜aā€™ is
Van9 (t) = v9 sin.9ļ·t. (7)
The ninth harmonic in phase bn will be,
Vbn9 (t) = v9 Sin (9(ļ·t-120
o
)) (8)
= v9 Sin (9ļ·t-1080
o
) (9)
= v9 Sin9ļ·t (10)
ļ² ISSN: 2088-8694
IJPEDS Vol. 4, No. 1, March 2014 : 61 ā€“ 69
66
6. SIMULATION & RESULTS
Comparative analysis is done by using Matlab/Simulink model for PWM and SPWM in terms of
THD for Motor load
Figure 6. THD for Rotor current with PWM Technique
The simulation results for PWM Technique is determined with THD Analysis for which the rotor
current it has 13.44%.
Figure 7. THD for Stator current with PWM Technique
The above simulation results for PWM Technique is determined with THD Analysis for the stator
current 13.11%.
Implementation of Sinusoidal PWM technique in the three phase inverter for the induction drive is
shown in the Figure 8. The results for the same are shown in the following sections. Both the circuits differ
only by the PWM technique used. The harmonics reduction is the major reasons behind using the sinusoidal
PWM. The improvement in the performance of the induction motor is thus achieved. Figure 9 shown the
rotor current per phase and the harmonic content and in Figure 10 harmonic content in the stator current is
analyzed and shown.
IJPEDS ISSN: 2088-8694 ļ²
Comparative Evaluation of Generalized Multicell Impedance Source Inverter ā€¦ (V Raghavendra Rajan)
67
Figure 8. Simulation for Motor load with SPWM Technique
Figure 9. THD for Rotor Current with SPWM Technique
Figure 10. THD for Stator Current with SPWM Technique
The above Simulation results shown for rotor current and stator current, whose rotor current is
9.84% and stator current has 10.05% with Sinusoidal Pulse Width Modulation Technique. The input voltage
applied for PWM Technique and SPWM Technique is 440volts.
ļ² ISSN: 2088-8694
IJPEDS Vol. 4, No. 1, March 2014 : 61 ā€“ 69
68
7. CONCLUSION
This paper has deals with a Multicell with Z-Source inverter solution for Three phase Induction
motor. The PWM strategy was chosen in order to obtain the minimum number of commutations to maximize
efficiency. The proposed solution was compared with the PWM technique and SPWM technique. By using
PWM Harmonics are more. To overcome this disadvantage SPWM technique is used by using this switching
losses are controlled and harmonics are reduced compared to PWM method. Finally the PWM and SPWM
controlled Multicell Z-Source Inverter is analyzed by Simulation results are obtained and resulting in stability
improvement.
REFERENCES
[1] FZ Peng. ā€œZ-source inverterā€. IEEE Trans. Ind. Appl. 2003; 39(2): 504ā€“510.
[2] PC Loh, DM Vilathgamuwa, YS Lai, GT Chua, and YW Li. ā€œPulse width modulation of Z-source invertersā€. IEEE
Trans. Power Electron. 2005; 20(6): 1346ā€“1355.
[3] J Liu, J Hu, and L Xu. ā€œDynamic modelling and analysis of Z-source converterā€”Derivation of ac small signal
model and design-oriented analysisā€. IEEE Trans. Power Electron. 2007; 22(5): 1786ā€“1796.
[4] PS Anish, T Arun Srinivas and M Sasikumar. Harmonic Reduction in SVPWM Controlled Diode Clamped
Multilevel Inverter for Motor Drives. IOSR Journal of Engineering. 2012; 2(1): 170-174.
[5] D Li, F Gao, PC Loh, M Zhu, and F Blaabjerg. ā€œHybrid-source impedance networks: Layouts and generalized
cascading conceptsā€. IEEE Trans. Power Electron. 2011; 26(7): 2028ā€“2040.
[6] Kwasinski A, Krein PT, Chapman PL. Time Domain Comparison of Pulse-Width Modulation Schemes. IEEE
Power Electronics Letter. 2003; 1(3).
[7] FZ Peng, A Joseph, J Wang, M Shen, L Chen, Z Pan, E Ortiz-Rivera, and Y Huang. ā€œZ-source inverter for motor
drivesā€. IEEE Trans. Power Electron. 2005; 20(4): 857ā€“863.
[8] JH Park, HG Kimy, EC Nho, and TW Chun. ā€œPower conditioning system for a grid connected PV power generation
using a quasi-Z-source inverterā€. J. Power Electron. 2010; 10(1): 79ā€“84.
[9] D Cao, S Jiang, X Yu, and FZ Peng. ā€œLow cost semi-Z-source inverter for single-phase photovoltaic systemsā€. IEEE
Trans. Power Electron. 2011; 26(12): 3514ā€“3523.
[10] Vijayabalan R, S Ravivarman. ā€œZ Source Inverter for Photovoltaic System with Fuzzy Logic Controllerā€. IJPEDS.
2012; 2(4): 371~379.
[11] Cong-Thanh Pham, An Wen Shen and ET all. ā€œSelf-Tuning Fuzzy PI-Type Controller in Z-Source Inverter for
Hybrid Electric Vehiclesā€. IJPEDS. 2012; 2(4): 353~363.
[12] M Zhu, K Yu, and FL Luo. ā€œSwitched inductor Z-source inverterā€. IEEE Trans. Power Electron. 2010; 25(8): 2150ā€“
2158.
[13] M Zhu, D Li, PC Loh, and F Blaabjerg. ā€œTapped-inductor Z-source inverters with enhanced voltage boost inversion
abilitiesā€. in Proc. IEEE Int. Conf. Sustainable Energy Technol. 2010: 1ā€“6.
[14] R Strzelecki, M Adamowicz, N Strzelecka, and W Bury. ā€œNew type T-source inverterā€. in Proc. Compat. Power
Electron. 2009: 191ā€“195.
[15] W Qian, FZ Peng, and H Cha. ā€œTrans-Z-source invertersā€. IEEE Trans. Power Electron. 2011; 26(12): 3453ā€“3463.
BIOGRAPHIES OF AUTHORS
V Raghavendra Rajan received the Bachelor degree in Electrical and Electronics Engineering
from Auroraā€™s Seethaiah engineering college, Jawaharlal Nehru University, Hyderabad, India in
2011. Pursuing Master of Engineering in Power Electronics and Drives from Jeppiaar
Engineering College, Anna University, India. My area of interest includes in the field of
Renewable Energy and PWM techniques in converters.
CS Ajin Sekhar has received the B.E degree in Electrical and Electronics Engineering from SRR
engineering College, Anna University, Chennai 2012, India. He is pursuing Master of
Engineering in Power Electronics and Drives from Jeppiaar Engineering College, Anna
University, India. His area of interest includes in the field of Renewable Energy, Power
Converters, AC-AC Converters and PWM techniques.
IJPEDS ISSN: 2088-8694 ļ²
Comparative Evaluation of Generalized Multicell Impedance Source Inverter ā€¦ (V Raghavendra Rajan)
69
R Hemantha Kumar has received the Bachelor degree in Electrical and Electronics Engineering
from Thangavelu Engineering College, Anna University, India in 2011. He is pursuing Master of
Engineering in Power Electronics and Drives from Jeppiaar Engineering College, Anna
University, India. His area of interest includes in the field of Power Converters for Renewable
Energy, PWM techniques and Multilevel Converters.
M Sasikumar has received the Bachelor degree in Electrical and Electronics Engineering from
KS Rangasamy College of Technology, Madras University, India in 1999, and the M Tech
degree in Power Electronics from VIT University, in 2006. He has obtained his Ph.D. degree
from Sathyabama University, Chennai in 2011. Currently he is working as a Professor and Head
in Jeppiaar Engineering College, Chennai Tamilnadu, India. His area of interest includes in the
fields of wind energy systems, Hybrid systems and Power converters and Soft-Switching
techniques.He is a life member of ISTE.

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Comparative Evaluation of Generalized Multicell Impedance Source Inverter for Drives

  • 1. International Journal of Power Electronics and Drive System (IJPEDS) Vol. 4, No. 1, March 2014 pp. 61~69 ISSN: 2088-8694 ļ² 61 Journal homepage: http://iaesjournal.com/online/index.php/IJPEDS Comparative Evaluation of Generalized Multicell Impedance Source Inverter for Drives V Raghavendra Rajan, CS Ajin Sekhar, R Hemantha Kumar, M Sasikumar Jeppiaar Engineering College, Anna University, Chennai ā€“ 600 119, India Article Info ABSTRACT Article history: Received Nov 12, 2013 Revised Dec 28, 2013 Accepted Jan 19, 2014 Voltage-Source Inverter is limited by its only voltage step-down operation. In adding with extra boosting the flexibility is kept active for the number of semiconductors which is unchanged, voltage-type Z-source inverter was earlier proposed. This new class of inverter is generally less sensitive to electromagnetic noises. However, their boosting capabilities are anyhow less with high component stresses and poorer spectral performances caused by low modulation index ratios. Their boosting gains are, therefore, restricted in practice. To overcome these we use the generalized switched-inductor Z- source inverter is proposed, By comparing with PWM technique and SPWM technique, whose extra boosting abilities and other advantages have been verified in simulation analysis and experiment. Keyword: Multicell PWM technique SPWM technique Switched Inductor Z-source Inverter Copyright Ā© 2014 Institute of Advanced Engineering and Science. All rights reserved. Corresponding Author: V Raghavendra Rajan Department of Electrical and Electronics Engineering, Jeppiaar Engineering College, Rajiv Gandhi salai, Chennai ā€“ 600 119, India Email: raghavendrarajan.89@gmail.com 1. INTRODUCTION Modern electrical systems like distributed generators, power conditioners, and industrial drives have raised the importance of dcā€“ac inverters, through which energy is appropriately conditioned. Although well established now, existing popular inverter topologies still have some constraints to resolve with the first being their inflexible voltage or current conversion ranges. To be more precise, existing voltage-source inverter (VSI) can only perform voltage step-down operation. Voltage and current step-up flexibility can surely be added by connecting appropriate dcā€“dc converters to the traditional inverters, which probably would be the most commercially viable approach because of its simplicity. Z source inverter also finds in application in electric vehicles where drive voltage stress and controllability is a major factor [11]. Indeed, research in Z-source inverters has progressed actively with their modulation [2], modelling [3], control [4], [5], component sizing and applications, [7]ā€“[9] now being addressed. Recently, another interest has surfaced, and that is to address the limited practical conversion ranges of the Z-source inverters. The Z source inverters with intelligent control and renewable source for maximum output have also been an area of interest for researchers [10]. Although conversion gains of the Z-source inverters are theoretically infinite, practical issues like higher semiconductor stresses and poorer spectral performances can constrain their highest achievable limits. These constraints are undeniably linked to the trade off between modulation ratios and shoot through duration experienced by the Z-source inverters. Each technique has its own advantages and disadvantages that might better suit certain applications. The final decision on which to select is, therefore, dependent on the problems under consideration, individual judgments, preferences. The belief might have led to the development of various dcā€“ac inverters found in the literature. Among them, the most noticeable at present might be the voltage Z-source inverter, whose layouts are shown in Figure 1 [1]. characteristics such
  • 2. ļ² ISSN: 2088-8694 IJPEDS Vol. 4, No. 1, March 2014 : 61 ā€“ 69 62 as bidirectional energy flow capability, it provides sinusoidal input and output waveform with minimum high order harmonics and no sub harmonics, The special Z-network, comprising two capacitors and two inductors, connected to the well known three phase bridge, as shown in Figure 1, allows working in buck or boost modes using the ST state. The ZSI advantageously utilizes the ST states to boost the dc- link voltage by gating on both the upper and lower switches of a phase leg. In addition, a ST state caused by Electromagnetic Interference (EMI) noise does not destroy the circuit. Therefore a more reliable single stage power converter for both buck and boost power conversion is obtained. Figure 1. Topology of voltage type SL Z-Source Inverter 2. GENERALIZED MULTICELL SL TOPOLOGY The SL topology is generalized in Figure 2, where the generic cell identified is shown at the lower right corner. It consists of one inductor Ln and three diodes D3nāˆ’1 , D3nāˆ’2 , and D3n for the nth cell. This cell can be duplicated 2N times (where N is an integer), divided equally between the upper and lower dc rails, and connected as in Figure 2. Note that inductors L2N +1 and L2N +2 are not included in the generic cells, but can rather be viewed as the original two inductors found in Figure 1 for the traditional voltage-type Z-source inverter. It thus appears that the style of forming the generic cell allows the generalized SL topology to be viewed as adding extra cells to the original two inductors rather than to replace them [12]. Figure 2. Topology of generalized voltage type SL Z-Source Inverter
  • 3. IJPEDS ISSN: 2088-8694 ļ² Comparative Evaluation of Generalized Multicell Impedance Source Inverter ā€¦ (V Raghavendra Rajan) 63 These cells must introduce additional inductors in parallel during shoot-through charging and more inductors in series during nonshoot-through discharging. Features and expressions for the two processes are summarized as follows Shoot-Through: Initiated by turning on two switches from the same phase leg of the VSI bridge. That causes diodes D and D3n to turn OFF, while diodes D3n-1 and D3n-2 conduct. All inductors are then charged in parallel by the two Z-source capacitors, giving rise to a common inductive voltage of VL = VC . Nonshoot-Through: Represented by one of the traditional active or null VSI states. In this state, diodes D and D3n conduct, while diodes D3n-1 and D3n-2 block. All inductors then discharge in series to the external ac load, whose common inductive voltage is written as VL =(Vdc āˆ’ VC )/(N + 1), where N + 1 is the number of inductors in the upper or lower cascaded block. Averaging VL over a switching period to zero then gives the following generic expressions for governing the generalized SL Z-source inverter. 1 ā€“ dST Vdc VC = ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ (1) 1 āˆ’ (N + 2)dST 1 + NdST Vdc Vi = ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ (2) 1 āˆ’ (N + 2)dST M[1 + NdST] Vdc Vac = ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ļ‚¾ ļ‚¾ļ‚¾ļ‚¾ (3) 1 āˆ’ (N + 2)dST 2 The boost factor is given by B = (1 + NdST)/(1 āˆ’ (N + 2)dST), which can be made higher than any of the earlier gains by adding more generic cells. The desired gain is also arrived at a reduced shoot-through duration, whose limit is given dST < 1/(N + 2) is derived by setting the denominator of (3) to be greater than zero. That allows a higher modulation ratio to be used since M ā‰¤ 1.15(1 āˆ’ dST). Better utilization of the dc- link, lower component stresses, and better spectral performance linked to a high M can, therefore, be achieved. With these characteristics, the generalized SL topology is likely to find applications in renewable or other clean energy industry, where high boosting gain for grid interfacing is usually needed [13]. A probable example is grid-tied photovoltaic (PV) system, whose implementation will usually involve the sensing of Ė†vi directly or indirectly through measuring is given by VC (since Ė†vi = 2VC āˆ’ Vdc during the nonshoot-through state). The measured Ė†vi can then be regulated constant by adjusting M within the upper limit of 1.15(1 āˆ’ dST), while reserving dST for tracking the maximum power point of the PV source. This control arrangement is standard for PV systems, meaning that unforeseen complication is unlikely to surface with the generalized SL inverter[14]. With its Ė†vi regulated constant, selecting a suitable voltage rating for its semiconductors is thus quite straightforward as long as they have the instantaneous capacity to carry the peak shoot-through current. Other passive component sizing wise can be approached based on the same sizing requirements outlined in [6] for the traditional Z-source inverter. 3. THREE PHASE VOLTAGE SOURCE INVERTER The circuit diagram for three-phase VSI topology is shown in Figure 3 and the eight valid switch states are given in Table 1. As in single- phase VSIs, the switches of any leg of the inverter (S1 and S4, S3 and S6, or S5 and S2) cannot be switched on simultaneously because this would result in a short circuit across the dc link voltage supply. Similarly, in order to avoid undefined states in the VSI, and thus undefined ac output line voltages, the switches of any leg of the inverter cannot be switched off simultaneously as this will result in voltages that will depend upon the respective line current polarity. During the states 7 & 8 (in table 1) the ac current freewheel through either the upper or lower component which produces zero ac line voltages. The remaining states (1 to 6 in Table 1) produce nonzero ac output voltages. The inverter moves from one state to another to generate a required voltage waveform. Thus the resulting ac output line voltages consist of discrete values of voltages that are Vs, 0, and -Vs for the topology shown in Figure 4. The modulating technique is used to ensure the valid states. In this we also explain in various modes.
  • 4. ļ² ISSN: 2088-8694 IJPEDS Vol. 4, No. 1, March 2014 : 61 ā€“ 69 64 Figure 3. Circuit diagram for Voltage Source Inverter Table 1. Valid switch states for a three-phase VSI State Switch Vab Vbc Vca No. States S1, S2, 1 100 Vs 0 -Vs S3 on S2, S3, 2 110 0 Vs -Vs S1 on S3, S4, 3 010 -Vs Vs 0 S2, on S4, S5, 4 011 -Vs 0 Vs S3 on S5, S6, 5 001 0 -Vs Vs S4 on S6, S1, 6 101 Vs -Vs 0 S5 on S1, S3, 7 111 0 0 0 S5 on S4, S6, 8 000 0 0 0 S2 on The line to neutral voltage must be determined to find the line (or phase) current. There are three modes of operation in a half ā€“ cycle and the expression for each mode will be given below, During Mode I: (0 <t < ļ°/3) Ā  Ā  / Ā  Ā , Ā  Ā  Ā  2 /3Ā Ā  (4) During Mode II: (ļ°/3< t < 2ļ°/3) Ā  Ā  Ā  Ā , Ā  Ā 2 /3Ā Ā  (5) During Mode III: (2ļ°/3< t < ļ°) Ā  Ā  / Ā  Ā , Ā  Ā  Ā  2 /3Ā Ā  (6) In this consequence, the shape of the modulation index m of the power converter is very similar to the grid voltage waveform. The output voltage of the converter can be written as Vout = mVdc. Depending on the modulation index value, the power converter will be driven by different PWM strategies. As a matter of fact, it is possible to identify four operating zones (see Figure 3), and for each zone [15], the output voltage levels of the power converter will be different
  • 5. IJPEDS ISSN: 2088-8694 ļ² Comparative Evaluation of Generalized Multicell Impedance Source Inverter ā€¦ (V Raghavendra Rajan) 65 4. PULSE WIDTH MODULATION PWM is a very efficient way of providing intermediate amounts of electrical power between fully on and fully off. A simple power switch with a typical power source provides full power only, when switched on. PWM is a comparatively recent technique, made practical by modern electronic power switches [3]. Figure 4. PWM for the DC line side converters Figure 4 presents the dependence of the converter input voltage on the modulation index with respect to the DC-link voltage. The modulation bandwidth is generally divided into the linear and the nonlinear range. The limitation of the modulation region to the linear range is sufficient for the proper operation of the PWM rectifier. Yet for the excellent dynamic performance of the synchronous rectifier during the transients the operation in the over modulation range must be provided [8]. However this technique introduces the line current distortions due its nonlinearity and may be in advisable in the applications of the DC converters improving the electrical power quality. The issue of the modulation index and the modulation range for the basic PWM techniques will be presented in detail in the next sections of this paper 5. SINUSIODAL PULSE WIDTH MODULATION There are three sinusoidal reference waves (Vra, Vrb, and Vrc) each shifted by 120o . A carrier wave is compared with the reference signal corresponding to a phase to generate the gating signals for that phase. Comparing the carrier signal Vcr with the reference phases Vra, Vrb, and Vcr produces S1 and S3 respectively as shown in Figure 5b. The instantaneous line ā€“ to ā€“ line output voltage is Vab = Vs(S1 ā€“ S3). The output voltage as shown in Figure 5d is generated by eliminating the condition that two switching devices in the same arm cannot conduct at the same time. The normalized carrier frequency mf should be odd multiple of three. Thus, all phase ā€“ voltage (Van, Vbn, and Vcn) are identical, but 120o out of phase without even harmonics; moreover, harmonics at frequencies multiple of three are identical in amplitude and phase in all phases. For instance, if the ninth harmonic voltage in phase ā€˜aā€™ is Van9 (t) = v9 sin.9ļ·t. (7) The ninth harmonic in phase bn will be, Vbn9 (t) = v9 Sin (9(ļ·t-120 o )) (8) = v9 Sin (9ļ·t-1080 o ) (9) = v9 Sin9ļ·t (10)
  • 6. ļ² ISSN: 2088-8694 IJPEDS Vol. 4, No. 1, March 2014 : 61 ā€“ 69 66 6. SIMULATION & RESULTS Comparative analysis is done by using Matlab/Simulink model for PWM and SPWM in terms of THD for Motor load Figure 6. THD for Rotor current with PWM Technique The simulation results for PWM Technique is determined with THD Analysis for which the rotor current it has 13.44%. Figure 7. THD for Stator current with PWM Technique The above simulation results for PWM Technique is determined with THD Analysis for the stator current 13.11%. Implementation of Sinusoidal PWM technique in the three phase inverter for the induction drive is shown in the Figure 8. The results for the same are shown in the following sections. Both the circuits differ only by the PWM technique used. The harmonics reduction is the major reasons behind using the sinusoidal PWM. The improvement in the performance of the induction motor is thus achieved. Figure 9 shown the rotor current per phase and the harmonic content and in Figure 10 harmonic content in the stator current is analyzed and shown.
  • 7. IJPEDS ISSN: 2088-8694 ļ² Comparative Evaluation of Generalized Multicell Impedance Source Inverter ā€¦ (V Raghavendra Rajan) 67 Figure 8. Simulation for Motor load with SPWM Technique Figure 9. THD for Rotor Current with SPWM Technique Figure 10. THD for Stator Current with SPWM Technique The above Simulation results shown for rotor current and stator current, whose rotor current is 9.84% and stator current has 10.05% with Sinusoidal Pulse Width Modulation Technique. The input voltage applied for PWM Technique and SPWM Technique is 440volts.
  • 8. ļ² ISSN: 2088-8694 IJPEDS Vol. 4, No. 1, March 2014 : 61 ā€“ 69 68 7. CONCLUSION This paper has deals with a Multicell with Z-Source inverter solution for Three phase Induction motor. The PWM strategy was chosen in order to obtain the minimum number of commutations to maximize efficiency. The proposed solution was compared with the PWM technique and SPWM technique. By using PWM Harmonics are more. To overcome this disadvantage SPWM technique is used by using this switching losses are controlled and harmonics are reduced compared to PWM method. Finally the PWM and SPWM controlled Multicell Z-Source Inverter is analyzed by Simulation results are obtained and resulting in stability improvement. REFERENCES [1] FZ Peng. ā€œZ-source inverterā€. IEEE Trans. Ind. Appl. 2003; 39(2): 504ā€“510. [2] PC Loh, DM Vilathgamuwa, YS Lai, GT Chua, and YW Li. ā€œPulse width modulation of Z-source invertersā€. IEEE Trans. Power Electron. 2005; 20(6): 1346ā€“1355. [3] J Liu, J Hu, and L Xu. ā€œDynamic modelling and analysis of Z-source converterā€”Derivation of ac small signal model and design-oriented analysisā€. IEEE Trans. Power Electron. 2007; 22(5): 1786ā€“1796. [4] PS Anish, T Arun Srinivas and M Sasikumar. Harmonic Reduction in SVPWM Controlled Diode Clamped Multilevel Inverter for Motor Drives. IOSR Journal of Engineering. 2012; 2(1): 170-174. [5] D Li, F Gao, PC Loh, M Zhu, and F Blaabjerg. ā€œHybrid-source impedance networks: Layouts and generalized cascading conceptsā€. IEEE Trans. Power Electron. 2011; 26(7): 2028ā€“2040. [6] Kwasinski A, Krein PT, Chapman PL. Time Domain Comparison of Pulse-Width Modulation Schemes. IEEE Power Electronics Letter. 2003; 1(3). [7] FZ Peng, A Joseph, J Wang, M Shen, L Chen, Z Pan, E Ortiz-Rivera, and Y Huang. ā€œZ-source inverter for motor drivesā€. IEEE Trans. Power Electron. 2005; 20(4): 857ā€“863. [8] JH Park, HG Kimy, EC Nho, and TW Chun. ā€œPower conditioning system for a grid connected PV power generation using a quasi-Z-source inverterā€. J. Power Electron. 2010; 10(1): 79ā€“84. [9] D Cao, S Jiang, X Yu, and FZ Peng. ā€œLow cost semi-Z-source inverter for single-phase photovoltaic systemsā€. IEEE Trans. Power Electron. 2011; 26(12): 3514ā€“3523. [10] Vijayabalan R, S Ravivarman. ā€œZ Source Inverter for Photovoltaic System with Fuzzy Logic Controllerā€. IJPEDS. 2012; 2(4): 371~379. [11] Cong-Thanh Pham, An Wen Shen and ET all. ā€œSelf-Tuning Fuzzy PI-Type Controller in Z-Source Inverter for Hybrid Electric Vehiclesā€. IJPEDS. 2012; 2(4): 353~363. [12] M Zhu, K Yu, and FL Luo. ā€œSwitched inductor Z-source inverterā€. IEEE Trans. Power Electron. 2010; 25(8): 2150ā€“ 2158. [13] M Zhu, D Li, PC Loh, and F Blaabjerg. ā€œTapped-inductor Z-source inverters with enhanced voltage boost inversion abilitiesā€. in Proc. IEEE Int. Conf. Sustainable Energy Technol. 2010: 1ā€“6. [14] R Strzelecki, M Adamowicz, N Strzelecka, and W Bury. ā€œNew type T-source inverterā€. in Proc. Compat. Power Electron. 2009: 191ā€“195. [15] W Qian, FZ Peng, and H Cha. ā€œTrans-Z-source invertersā€. IEEE Trans. Power Electron. 2011; 26(12): 3453ā€“3463. BIOGRAPHIES OF AUTHORS V Raghavendra Rajan received the Bachelor degree in Electrical and Electronics Engineering from Auroraā€™s Seethaiah engineering college, Jawaharlal Nehru University, Hyderabad, India in 2011. Pursuing Master of Engineering in Power Electronics and Drives from Jeppiaar Engineering College, Anna University, India. My area of interest includes in the field of Renewable Energy and PWM techniques in converters. CS Ajin Sekhar has received the B.E degree in Electrical and Electronics Engineering from SRR engineering College, Anna University, Chennai 2012, India. He is pursuing Master of Engineering in Power Electronics and Drives from Jeppiaar Engineering College, Anna University, India. His area of interest includes in the field of Renewable Energy, Power Converters, AC-AC Converters and PWM techniques.
  • 9. IJPEDS ISSN: 2088-8694 ļ² Comparative Evaluation of Generalized Multicell Impedance Source Inverter ā€¦ (V Raghavendra Rajan) 69 R Hemantha Kumar has received the Bachelor degree in Electrical and Electronics Engineering from Thangavelu Engineering College, Anna University, India in 2011. He is pursuing Master of Engineering in Power Electronics and Drives from Jeppiaar Engineering College, Anna University, India. His area of interest includes in the field of Power Converters for Renewable Energy, PWM techniques and Multilevel Converters. M Sasikumar has received the Bachelor degree in Electrical and Electronics Engineering from KS Rangasamy College of Technology, Madras University, India in 1999, and the M Tech degree in Power Electronics from VIT University, in 2006. He has obtained his Ph.D. degree from Sathyabama University, Chennai in 2011. Currently he is working as a Professor and Head in Jeppiaar Engineering College, Chennai Tamilnadu, India. His area of interest includes in the fields of wind energy systems, Hybrid systems and Power converters and Soft-Switching techniques.He is a life member of ISTE.