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International Journal of Power Electronics and Drive System (IJPEDS)
Vol. 6, No. 3, September 2015, pp. 636~647
ISSN: 2088-8694  636
Journal homepage: http://iaesjournal.com/online/index.php/IJPEDS
New Hybrid Structure Based on Improved Switched Inductor
Z-Source and Parallel Inverters for Renewable Energy Systems
Ali Zakerian, Daryoosh Nazarpour
Department of Electrical and Computer Engineering, Urmia University, Urmia, Iran
Article Info ABSTRACT
Article history:
Received Apr 12, 2015
Revised Jul 24, 2015
Accepted Aug 15, 2015
Nowadays, more and more distributed generations and renewable energy
sources, such as wind, solar and tidal power, are connected to the public grid
by the means of power inverters. They often form microgrids before being
connected to the public grid. Due to the availability of high current power
electronic devices, it is inevitable to use several inverters in parallel for high-
power and/or low-cost applications. So, inverters should beconnected in
parallel to provide system redundancy and high reliability, which are
important for critical customers. In this paper, the modeling, designing and
stability analysis of parallel-connected three-phaseinverters are derived for
application in renewable energy systems. To enlarge voltage adjustability,
the proposed inverter employs an improved switched inductor Z-source
impedance network to couple the main circuit and the power source.
Compared with the classical Z-source inverter (ZSI) and switched inductor
Z-source inverter (SL-ZSI), the proposed inverter significantly increases the
voltage boost inversion ability and also can increase the power capacity and
the reliability of inverter systems. The proposed topology and its
performances are validated using simulation results which are obtained in
Matlab/Simulink.
Keyword:
Modulation index
Parallel operation
Switched inductor
Voltage gain
Z-source inverter
Copyright © 2015 Institute of Advanced Engineering and Science.
All rights reserved.
Corresponding Author:
Ali Zakerian,
Departement of Electrical and Computer Engineering,
Urmia University,
Urmia, Iran.
Email: zakerian.alii@gmail.com
1. INTRODUCTION
In some renewable energy utilization applications, the input power source is a DC voltage source
which has a wide voltage variation range, such as the grid-tied photovoltaic generation and fuel cell
generation. In these cases, an inverter with boost capability is required to generate electricity at low input DC
voltage. Different inverter topologies meeting the requirement can be found and classified into two
categories: the isolated inverters and non-isolated inverters. The isolated inverters are usually equipped with
a step-up transformer which makes the system bulky and low efficiency while the non-isolated inverter is
considered high efficiency and high power density [1]. There are typically two popular non-isolated topology
candidates for these applications. One is the traditional two-stage boost-buck inverter (BBI), and the other
one is the newly proposed Z-source inverter (ZSI) [2].
The ZSI presents a new single-stage structure to achieve the voltage boost/buck character in a single
power conversion stage, which has been reported in applications to renewable energysystems. The ZSI has
gained popularity as a single-stage buck-boost inverter topology among many researchers. However, its
boosting capability could be limited and therefore it may not be suitable for some applications requiring very
high boost demanding of cascading other dc-dc boost converters. This could lose the efficiency and demand
more sensing for controlling the added new stages.
 ISSN: 2088-8694
IJPEDS Vol. 6, No. 3, September 2015 : 636 – 647
637
Over the recent years, many researchers have given their focus in many directions to develop ZSI to
achieve different objectives [3]-[8]. In [9]-[12], the focus is on improving the boost factor of the ZSI. For
instance, [9]-[11] add inductors, capacitors, and diodes to the Z-impendence network to produce a high dc-
link voltage for the main power circuit from a very low input dc voltage. In [12], two inductors of the
impedance Z-network are replaced by a transformer with a turn ratio of 2:1 to obtain high voltage gain. These
topologies suit solar cell and fuel cell applications that can require high voltage gain to match the source
voltage difference.
Applying switched-capacitor, switched-inductor, hybrid switched-capacitor/switched-inductor
structures, voltage-lift techniques, and voltage multiplier cells [13]-[15] to dc–dc conversion provides the
high boost in cascade and transformerless structures with high efficiency and high power density. A
successful combination of the ZSI and switched-inductor structure, called the switched inductorZSI (SL-ZSI)
[9], provides strong step-up inversion to overcome the boost limitation of the classical ZSI.
On the other hand, many industrial systems demand a reliable power supply. One way to increase
the reliability is to increase the number of sources. Another way to increase the reliability is to have parallel
inverters and this would increase the redundancy as well as the maintainability of the inverters. Moreover, the
parallel connected inverters effectively offer a significantly higher level of availability than conventional
approaches. Commercially available ratings range from several kVA to hundreds of kVA. Parallel connection
techniques for inverters have been gaining increasing attentions in motor-drive systems, converter systems,
and distributed generation systems [16]-[19].
Paralleled inverters can be built in numerous ways. First and the most obvious way is to have
independent inverters with separate dc sources [20] and the other possibility is to connect the inverters into a
common dc source [21]. First method is common as it is simple. However, it requires more than one power
source. In the context of Z-source inverter, this method requires more than one independent Z-source
impedance network.Therefore, this paper proposes a new hybrid structure based on improved SL Z-source
impedance network and parallel inverters which share one dc-input voltage to increasethe output voltage in a
wide range, usable in renewable energy systems. Moreover, because of the divided output current among
parallel inverters, the proposed topology has the ability of supplying high load currents.
The remainder of this paper is organized as follows. The next section is devoted to a detailed
topology analysis of the improved SL Z-source impedance network. Operating principles and the equivalent
circuit of the proposed topology are presented in section 3. Section 4 presents the simulation results and
finally, conclusions are included in Section 5.
2. CIRCUIT ANALYSIS OF THE IMPROVED SL Z-SOURCE IMPEDANCE NETWORK
As illustrated in Figure 1, the proposed improved SL Z-source impedance network consists of six
inductors, two capacitors and twelve diodes. The combination of 1 2 3 1 2 3 4 5 6, , , , , , , ,L L L D D D D D D and
the combination of 4 5 6 7 8 9 10 11 12, , , , , , , ,L L L D D D D D D performs the function of the top SL cell and the
bottom SL cell, respectively. Both of these two SL cells are used to store and transfer the energy from the
capacitors to the dc bus under the switching action of the main circuit.
dcV
inV
inD
4D
2D
6D
10D
9D
12D
2L
5L
3L
6L
1C 2C
3D
1D
1L 5D
8D
11D
7D
4L
Figure 1. Topology of the improved SL-ZSI
IJPEDS ISSN: 2088-8694 
New Hybrid Structure Based on Improved Switched Inductor Z-Source and Parallel …(Ali Zakerian)
638
From the viewpoint of the switching states of the main circuit connected with SL impedance
network, the operation principles of this impedance network are similar to those of the classical Z-source
impedance network. For the convenience of analysis, the equivalent circuit of the improved SL Z-source
impedance network viewed from the dc bus is shown inFigure 2(a) in which a virtual active switchS and a
passive switch oD are introduced tosimulate the practical shoot-through actions of the top and bottom
arms.Therefore, the sub-states of this impedance network are classified into the shoot-through state and the
non-shoot-through state, respectively.
2.1. Shoot-Through State
During this sub-state, S is ON, while both inD and oD are OFF.For inductors of the top branch,
four diodes 1 2 3, ,D D D and 4D are ON, while two diodes 5D and 6D are OFF. Then, three inductors
1 2 3, ,L L L are connected in parallel and charged by capacitor 1C . For inductors of the bottom branch, four
diodes 7 8 9, ,D D D and 10D are ON, while two diodes 11D and 12D are OFF. Three inductors 4 5 6, ,L L L
are connected in parallel and charged by capacitor 2C . The equivalent circuit is shown in Figure 2(b).
2.2. Non-Shoot-Through State
This state corresponds to the six active states and two zero states of the main circuit and the
equivalent circuit is shown inFigure 2(c).During this sub-state,S is OFF, while both inD and oD are ON.
For inductors of the top branch, four diodes 1 2 3, ,D D D and 4D are OFF, while two diodes 5D and 6D are
ON. Then, three inductors 1 2 3, ,L L L are connected in series and stored energy is transferred to inverter
circuit. For inductors of the bottom branch, four diodes 7 8 9, ,D D D and 10D are OFF, while two diodes 11D
and 12D are ON. Then, three inductors 4 5 6, ,L L L are connected in series and stored energy is transferred to
inverter circuit.
inV
dcV
inD oD
S
dcV
inV
5L
3L
6L
1C 2C
1L
4L
2L
dcV
inV
2L
5L
3L
6L
1C 2C
1L
4L
(a) (b) (c)
Figure 2. Equivalent circuits. (a) Improved SL-ZSI viewed from the dc-link bus.
(b) Shoot-through zero state. (c) Non-shoot-through zero state.
Assuming that the six inductors ( 1 2 3 4 5, , , ,L L L L L and 6L ) have the same inductance ( L ) and
two capacitors( 1C and 2C ) have the same capacitance (C ). As aresult, the network becomes symmetrical.
From symmetrical circuit, the voltage across the capacitors and inductors become:
1 2C C CV V V  (1)
1 2 3 4 5 6L L L L L L Lv v v v v v v      (2)
From Figure 2(b) that shows the equivalent circuit of the shoot-through state:
L Cv V , 0inv  (3)
Now consider non-shoot-through state. From Figure 2(c), the voltageequations can be obtained:
 ISSN: 2088-8694
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639
3 L dc Cv V V  (4)
3 2in C L C dcv V v V V    (5)
From the fact that the average voltages across the inductors during each switching cycle T are zero,
the following equation can be derived:
0 0( )( )
3 0
dc C
C
L L
V V
T V T T
V v
T

 
  
(6)
Where, 0T is the shoot-through time interval over a switching cycle, or 0( / )T T D is the shoot-
through duty ratio.
From (6),
1
1 4
C dc
D
V V
D



(7)
Therefore, the peak dc-link voltage across the inverter bridge can be written:
1 2
ˆ 3 2
1 4
in C L C dc dc
D
v V v V V V
D

    

(8)
Thus, the boost factor B is expressed as:
0
1 0
0
1 2( )1 2
1 4 1 4( )
T TD
B B B
D T T

   
 
(9)
Where, 0B and 1B are defined as the boost factor of the classical Z-source and switched inductor
Z-source impedance networks, respectively. Their expressions are given by [9] as:
0
0
1 1
1 2 1 ( )
B
D T T
 
 
, 0
1
0
1 ( )1
1 3 1 3( )
T TD
B
D T T

 
 
(10)
For the comparison of the individual boost ability, the curves of the boost factor B versus the duty
ratio D for improved SL Z-source, SL Z-source and classical Z-source impedance networks are shown in
Figure 3. As shown in Figure 3, the boost ability of the improved SL Z-source impedance network is
significantly increased compared with SL Z-source and classical Z-source impedance networks.
Figure 3. Boost ability comparison
0 0.05 0.1 0.15 0.2
0
5
10
15
20
Shoot-through Duty Ratio (D)
BoostFactor(B)
Conventional Z-Source
SL Z-Source
Improved SL Z-Source
IJPEDS ISSN: 2088-8694 
New Hybrid Structure Based on Improved Switched Inductor Z-Source and Parallel …(Ali Zakerian)
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3. THE PROPOSED TOPOLOGY
Parallel operation of inverters has many advantages such as modularity, ease of maintenance, ( 1)n 
redundancy, high reliability and many others [22-24]. In addition to these, output current ripple of the
paralleled inverter can be reduced significantly by virtue of interleaving effect [25]. The basic concept of the
proposed improved SL Z-source impedance network with N-parallel inverters is shown in Figure 4.
It is assumed that all inverters share the same dc bus that is fed from improved switched inductor Z-
source impedance network.Since the voltage at the point of common connection is derived from the
switching of different power semiconductors, an intermodule reactor is absolutely necessary to interconnect
the different inverters.
As described in [3], two PWM control methods, termed as the simple boost control method and the
maximum boost control method have been explored, which result in the different relationships of the voltage
boost inversion ability versus the given modulation index M . Since the aforementioned two methods can be
regarded as the theoretical basis of various advanced PWM strategies such as the third-harmonic injection
method and the space vector PWM method, the proposed structure under the condition of these two methods
will be explored in the following discussions, respectively. For the convenience of illustration, the
waveforms and switching strategies of aforementioned two methods are shown together in Figure 5.
1bL
1aL
1cL
2aL
2bL
2cL
aNL
bNL
cNL
dcV inV
Figure 4. Parallel improved SL Z-source inverters
av bv cv
1T
3T
5T
4T
6T
2T
Figure 5. Waveforms and switching strategies of
two basic PWM control methods
It is seen fromFigure 5that in the simple boost control, a straight line equal to or greater than the
peak value of the three phase references is employed. The obtainable duty ratio of the shoot-through state can
be regarded as a constant value, and its maximum value is limited to(1 )M . The voltage conversion ratio of
the whole inverter G can be expressed by:
ˆ
2
out
dc
v
G MB
V
  (11)
Where, ˆoutv is the peak value of the output phase voltage. Therefore, the maximum voltage
conversion ratio maxG versus any desired modulation index M can be expressed by:
max 1 01
(3 2 )
4 3
s sD M
M M
G MB G G
M
  

   

(12)
Where, 0 sG  and 1 sG  are defined as the maximum voltage conversion ratio of the classical ZSI and
SL-ZSI, respectively. Their expressionsare given by [9] as follows:
0
2 1
s
M
G
M
 

, 1
(2 )
3 2
s
M M
G
M




(13)
 ISSN: 2088-8694
IJPEDS Vol. 6, No. 3, September 2015 : 636 – 647
641
For the maximum boost control method as shown in Figure 5, the key point is that all zero states
need to be turned into the shoot-through state so as to make the duty ratio as large as possible. Therefore, the
shoot-through duty cycle varies in each cycle. As described in [3], the average duty ratio of the shoot-through
zero state, D is expressed by:
0 2 3 3
2
T M
D
T



  (14)
Substituting (14) into (9), we can get the equivalent boost factor B under the condition of variable
duty ratios:
1 2 6 6 3
1 4 12 3 6
D M
B
D M


 
 
 
(15)
Therefore, the maximum voltage conversion ratio maxG versus any desired modulation index M
approximates to:
max 1 0
(6 6 3 )
12 3 6
m m
M M
G MB G G
M


 

   

(16)
Where, 0 mG  and 1 mG  are defined as the maximum voltage conversion ratio of the classical ZSI
and SL-ZSI, respectively. Their expressionsare given by [9] as follows:
0
3 3
m
M
G
M


 

, 1
(4 3 3 )
9 3 4
m
M M
G
M






(17)
Figure 6(a) shows the maximum obtainable voltage conversion ratios versus the given modulation
index under the simple boost control condition. It is shown that the voltage boost ability is unavailable at
1M  .However, if 1M  , with the decreasing of M , the voltage boost inversion ability of the proposed
inverter becomes much stronger than SL-ZSI and classical ZSI. It means that for a given voltage conversion
ratio, a higher modulation index can be used in the proposed inverter to improve the inverter output
performance.
Figure 6(b) shows the maximum obtainable voltage conversion ratios versus the given modulation
index under the maximum boost control condition. It is shown that the voltage boost inversion abilities of
theseinverters have been enhanced to a wider range by this method. Similar to the observation in Figure 6(a),
the proposed inverter exhibits its advantage of stronger voltage boost inversion ability at the low modulation
index.
(a) (b)
Figure 6. Maximum voltage conversion ratio. (a) Under the simple boost control condition.
(b) Under the maximum boost control condition.
0.7 0.75 0.8 0.85 0.9 0.95 1
0
5
10
15
20
Modulation Index (M)
VoltageConversionRatio(M*B)
Conventional ZSI
SL-ZSI
Proposed Topology
0.91 0.92 0.93 0.94 0.95 0.96 0.97 0.98 0.99 1
0
5
10
15
20
Modulation Index (M)
VoltageConversionRatio(M*B)
Conventional ZSI
SL-ZSI
Proposed Topology
IJPEDS ISSN: 2088-8694 
New Hybrid Structure Based on Improved Switched Inductor Z-Source and Parallel …(Ali Zakerian)
642
Figure 7 shows a simplified equivalent circuit of the system illustrated in Figure 4. It is assumed that
each inverter develops a balanced three phase voltage and its intermodule reactor consists of identical phase
inductors. However, differences may exist between different inverter modules, both in voltage and reactance.
Under such assumptions, the equivalent circuit illustrated in Figure 7, may be further simplified into
a phasor equivalent circuit shown in Figure 8. Here, each inverter is represented by its internal phasor voltage
source, and one inductor and one resistor representing the equivalent series resistance of the circuit.
AI
BI
CI
1AI
1BI
1CI
2AI
2BI
2CI
ANI
BNI
CNI
AV
BV
CV
1AV
2AV
ANV
2BV
1CV
1BV
2CV
BNV
CNV
O
1AL
1BL
1CL
2AL
2BL
2CL
ANL
BNL
CNL
1I
2I
NI
CV
LI
1L
2L
NL
1R
2R
NR
1V
2V
NV
O
Figure 7. Simplified equivalent circuit Figure 8. Simplified phasor model
Inverter pole voltage and current vectors can be defined as 1 2( ... )T
NV V V and 1 2( ... )T
NI I I
respectively, corresponding to the labels illustrated in Figure 8. Now, the thevenin impedance of th
i inverter,
iZ may be identified to be:
, = 1, 2, ... ,i i iZ R j L i N  (18)
And the equivalent thevenin impedance of all inverters in parallel, THZ , may be determined as:
1 2Z ...TH NZ Z Z (19)
Furthermore, the voltage at the common coupling point can be calculated to be:
1
( )
N
j
C TH L
j j
V
V Z I
Z
  (20)
Now, the output current of the th
i inverter can be evaluated as:
1
( ) ,
N
jTH i TH
i L
ji i j j
VZ V Z
I I i
Z Z Z Z
    (21)
From equation 21 and Figure 6, it can be derived the proposed structure can achieve higher voltage
than the previous converters and also, because of dividing the output current between parallel inverters, the
probable damages to the switches which can be caused by high currents are preventable and this will increase
the reliability of the system.
 ISSN: 2088-8694
IJPEDS Vol. 6, No. 3, September 2015 : 636 – 647
643
It may be observed from (21), that various iZ play an important role in determining the sharing of
current between the different modules. In order to quantify this phenomenon, the sensitivity of the current to
the thevenin impedance, iZ can be determined to be:
2 2 3
2 ,i L i TH
TH i
i i i i
I I V Z
Z V i
Z Z Z Z

    

(22)
Therefore, small deviations in equivalent thevenin impedances of inverters can result in uneven
current distributions as suggested by (21).From (22), we can also observe that, if the thevenin impedance is
increased, the dependence of output current on the output impedance is also decreased leading to better
current distribution.
4. SIMULATION RESULTS
Extensive computer simulation using MATLAB-Simulink has been performed to prove performance
of the proposed inverter. The simulation schematic for the proposed topology is shown in Figure 9and the
selected parameters are: 36VdcV  , 1 2 3 4 5 6 1mHL L L L L L      , 1 2 1000 FC C   , Switching
frequency = 10kHz, 1mH and 22.5 Ff fL C   (Three-phase output filter), Three-phase resistive load =
10/phase. In the simulation, all components are assumed ideal. The proposed topology is compared to the
other topologies which have been proposed in [2] and [9], under the simple boost control method (case 1) and
the maximum boost control method (case 2) with the same shoot-through duty ratio.
inV
dcV 1C 2C
Figure 9. Schematic of two parallel inverters based on improved SL Z-source impedance network
4.1. Simple Boost Control
The proposed system works with shoot-through duty ratio 0.2D  and modulation index 0.8M  .
We obtain 7B  and 5.6G  using mentioned equations.Figure 10 showsthe simulation results for the
proposed topology which are voltage across the inverters ( inV ), voltage of capacitors ( CV ), output voltage,
current waveforms of the up and down inverters and also the load current waveform, respectively. It is seen
that the steady-state performance in the simulation is identically matching to the theoretical analysis.
In order to compare the proposed structure with previous structures, we apply the same values of D
and M to the classical ZSI and SL-ZSI, and the boost inversion ability will be decreased sharply. The
corresponding parameters are 1.67B  , 1.336G  for the classical ZSI and 3B  , 2.4G  for the SL-
ZSI, which are much lower than those achieved by the proposed inverter. The simulation results for these
IJPEDS ISSN: 2088-8694 
New Hybrid Structure Based on Improved Switched Inductor Z-Source and Parallel …(Ali Zakerian)
644
structures are shown in Figures 11 and 12, respectively. By comparison between simulation results, it is
completely obvious that the proposed structure can transfer higher power than the other topologies.
Figure 10. Simulation results of the proposed topology (case 1)
Figure 11. Simulation results of the ZSI (case 1) Figure 12. Simulation results of the SL-ZSI (case 1)
4.2. Maximum Boost Control
Under the condition of the maximum boost control, according to (14-16), we consider 0.967M  .
Therefore, we obtain 0.2D  , 7B  and max 6.769G  . The simulation results for the proposed topology
are plotted in Figure 13, which are voltage across the inverters ( inV ), voltage of capacitors ( CV ), output
voltage, current waveforms of the up and down inverters and also the load current waveform, respectively.
Because the duty ratio varies periodically, a small oscillation has been introduced into inV and CV . All
simulation results comply with the equations derived in sections 2 and 3.
0 0.05 0.1 0.15 0.2 0.25
-100
0
100
200
300
Time (S)
(a)
Vin(V)
0 0.05 0.1 0.15 0.2 0.25
0
50
100
150
200
Time (S)
(b)
VC(V)
0 0.05 0.1 0.15 0.2 0.25
-5
0
5
Time (S)
(d)
Iinverter1
(A)
0 0.05 0.1 0.15 0.2 0.25
-5
0
5
Time (S)
(e)
Iinverter2
(A)
0 0.05 0.1 0.15 0.2 0.25
-10
-5
0
5
10
Time (S)
(f)
ILoad
(A)
0 0.05 0.1 0.15 0.2 0.25
-150
-100
-50
0
50
100
150
Time (S)
(c)
Vout(V)
-50
0
50
100
150
Vin(V)
0
50
100
VC(V)
-50
0
50
Vout(V)
0 0.05 0.1 0.15 0.2 0.25
-5
0
5
Time (S)
ILoad(A)
-100
0
100
200
Vin(V)
0
50
100
VC(V)
-50
0
50
Vout(V)
0 0.05 0.1 0.15 0.2 0.25
-5
0
5
Time (S)
ILoad(A)
 ISSN: 2088-8694
IJPEDS Vol. 6, No. 3, September 2015 : 636 – 647
645
For the case of the classical ZSI and SL-ZSI, when M is taken as 0.967 , the boost inversion
ability is still very weak. The corresponding parameters are: 1.668B  , max 1.613G  for the classical ZSI
and 3B  , max 2.901G  for the SL-ZSI. The simulation results for these structures are shown in Figures 14
and 15 respectively.
Figure 13. Simulation results of the proposed topology (case 2)
Figure 14. Simulation results of the ZSI (case 2) Figure 15. Simulation results of the SL-ZSI (case 2)
The improved switched inductor Z-source structure is extensible for the further development using
the coupled inductor techniques and other potential improving techniques.Additionally, in conditions where
the load requires higher current, in order to prevent the probable damages to the switches, by increasing the
number of inverters in parallel we can supply the load by desired current.
0 0.05 0.1 0.15 0.2 0.25
-100
0
100
200
300
400
Time (S)
(a)
Vin(V)
0 0.05 0.1 0.15 0.2 0.25
0
50
100
150
200
Time (S)
(b)
VC(V)
0 0.05 0.1 0.15 0.2 0.25
-150
-100
-50
0
50
100
150
Time (S)
(c)
Vout(V)
0 0.05 0.1 0.15 0.2 0.25
-5
0
5
Time (S)
(d)
Iinverter1(A)
0 0.05 0.1 0.15 0.2 0.25
-5
0
5
Time (S)
(e)
Iinverter2(A)
0 0.05 0.1 0.15 0.2 0.25
-15
-10
-5
0
5
10
15
Time (S)
(f)
ILoad(A)
-50
0
50
100
150
Vin(V)
0
50
100
VC(V)
-50
0
50
Vout(V)
0 0.05 0.1 0.15 0.2 0.25
-5
0
5
Time (S)
ILoad(A)
-100
0
100
200
Vin(V)
0
50
100
VC(V)
-50
0
50
Vout(V)
0 0.05 0.1 0.15 0.2 0.25
-5
0
5
Time (S)
ILoad(A)
IJPEDS ISSN: 2088-8694 
New Hybrid Structure Based on Improved Switched Inductor Z-Source and Parallel …(Ali Zakerian)
646
5. CONCLUSION
This paper has presented a new hybrid structure based on improved switched inductor Z-source and
parallel inverters to expand the range of system's voltage gain and supply high load currents. With this
structure, the proposed inverter has the following features:
 The proposed inverter has all the advantages of paralleling power converters such as modularity, ease of
maintenance, (n + 1) redundancy, high reliability, reducing of the output current ripple, etc.
 It can be short- or open-circuited without damaging switching devices. Therefore, it is very resistant to
EMI noise and therefore its robustness and reliability are significantly improved.
 The boost factorhas been increased to (1 + 2D)/1-4D).
 Since here the load current can be divided between all inverters, in conditions where the load requires
high current, the probable damages to the switches which can be caused by high currents are
preventable.
The steady state operation is performed to analyze the boosting capability then it is validated by
simulation results.
REFERENCES
[1] X Yuan, Y Zhang. Status and Opportunities of Photovoltaic Inverters in Grid-Tied and Micro-Grid Systems. 5th
International Conference on Power Electronics and Motion Control (IPEMC), 2006; 1-4.
[2] FZ Peng. Z-source inverter.IEEE Trans. Ind. Appl., 2003; 39(2): 504-510.
[3] FZ Peng, M Shen, Z Qian. Maximum boost control of the Z-source inverter. IEEE Trans. Power Electron., 2005;
20(4): 833-838.
[4] J Anderson. FZ Peng. Four quasi-Z-Source inverters. Power Electron. Spec. Conf. (PESC), 2008; 2743-2749.
[5] MS Bakar, NA Rahim, H Daniyal, KH Ghazali. Experimental Study of SBPWM for Z-Source Inverter Five Phase.
International Journal of Power Electronics and Drive Systems (IJPEDS), 2015; 6(1): 45-55.
[6] B Nayak, SS Dash, S Kumar. Proposed Method for Shoot-Through in Three Phase ZSI and Comparison of
Different Control Techniques. International Journal of Power Electronics and Drive Systems (IJPEDS), 2014;
5(1): 32-44.
[7] PC Loh, F Gao, F Blaabjerg. Topological and modulation design of three-level Z-source inverters. IEEE Trans.
Power Electron., 2008; 23(5): 2268-2277.
[8] PC Loh, CJ Gajanayake, DM Vilathgamuwa, F Blaabjerg. Evaluation of resonant damping techniques for Z-source
current-type inverter.IEEE Trans. Power Electron., 2008; 23(4): 2035-2043.
[9] M Zhu, K Yu, FL Luo. Switched-inductor Z-source inverter. IEEE Trans. Power Electron., 2010; 25(8): 2150-
2158.
[10] CJ Gajanayake, FL Luo, HB Gooi, Ping Lam So, LK Siow. Extended-Boost Z-Source Inverters. IEEE Trans.
Power Electron., 2010; 25(10): 2642-2652.
[11] Trinh, Q Nam, HH Lee, TW Chun. A new Z-source inverter topology to improve voltage boost ability.8th
International Conference on Power Electronics and ECCE (ICPE & ECCE). Asia. 2011; 1981-1986.
[12] W Qian, FZ Peng, H Cha. Trans-Z-Source Inverters. Power Electronics, IEEE Transactions on., 2011; 26(12):
3453-3463.
[13] B Axelrod, Y Berkovich, A Ioinovici. Switched-capacitor/switched-inductor structures for getting transformerless
hybrid dc-dc PWM converters. IEEE Trans. Circ. Syst. I: Fundamental Theory Appl., 2008; 55(2): 687-696.
[14] M Zhu, FL Luo, Y He. Remaining inductor current phenomena of complex dc-dc converters in discontinuous
conduction mode: General concepts and case study. IEEE Trans. Power Electron., 2008; 23(2): 1014-1019.
[15] M Prudente, LL Pfitscher, G Emmendoerfer, EF Romaneli, R Gules. Voltage multiplier cells applied to non-
isolated dc-dc converters. IEEE Trans. Power Electron., 2008; 23(2): 871-887.
[16] J Korhonen, T Itkonen, JP Ström, J Tyster, PT Silventoinen. Active motor terminal overvoltage mitigation method
for parallel voltage source inverters. IET Power Electron., 2012; 5(8): 1430-1437.
[17] R Turner, S Walton, R Duke. Stability and bandwidth implications of digitally controlled grid-connected parallel
inverters. IEEE Trans. Ind. Electron., 2010; 57(11): 3685-3694.
[18] SK Mazumder, RK Burra, R Huang, M Tahir, K Acharya. A universal grid-connected fuel-cell inverter for
residential application. IEEE Trans. Ind. Electron., 2010; 57(10):3431-3447.
[19] J He, YW Li, Bosnjak D, Harris B. Investigation and Active Damping of Multiple Resonances in a Parallel-
Inverter-Based Microgrid. IEEE Trans. Power Electron., 2013; 28(1): 234-246.
[20] KD Wu, JC Wu, HL Jou, CY Chen, CY Lin. Simplified control method for parallel-connected dc/ac inverters.
Elect. Power Appl., IEEE Proceedings, 2006; 153(6): 787-792.
[21] T Kawabata, S Higashino. Parallel operation of voltage source inverters. IEEE Trans. Ind. Appl., 1988; 24(2): 281-
287.
[22] F Ueda, K Matsui, M Asao, K Tsuboi. Parallel-connections of pulsewidth modulated inverters using current sharing
reactors. IEEE Trans. Power Electron., 1995; 10(6):673-679.
[23] Y Zhang, H Ma. Theoretical and Experimental Investigation of Networked Control for Parallel Operation of
Inverters. IEEE Trans. Ind.Electron., 2012; 59(4): 1961-1970.
[24] C Song, R Zhao, M Zhu, Z Zeng. Operation method for parallel inverter system with common dc link. Power
Electronics, IET, 2014; 7(5): 1138-1147.
 ISSN: 2088-8694
IJPEDS Vol. 6, No. 3, September 2015 : 636 – 647
647
[25] D Shin, H Cha, JP Lee, DW Yoo, FZ Peng, HG Kim. Parallel Operation of Trans-Z-Source Inverter. 8th
International Conference on Power Electronics and ECCE (ICPE & ECCE). Asia. 2011; 774-748.
BIOGRAPHIES OF AUTHORS
Ali Zakerian was born in Andimeshk, Iran, in 1990. He received the B.Sc. degree in Power
Electrical Engineering from Urmia University, Urmia, Iran in 2013 and is currently a M.Sc.
student in Power Electrical Engineering in the same university. His current research interests
include power electronic converters, multilevel converters, Z-source converters, Application of
Power Electronics in Renewable Energy Systems, Flexible AC Transmission Systems (FACTS),
Plug-In Hybrid Electric Vehicles.
Daryoosh Nazarpour was born in Urmia, Iran in 1958. He received his B.Sc. degree from Iran
University of Science and Technology, Tehran, Iran in 1982 and the M.Sc. degree from Faculty
of Engineering, University of Tabriz, Tabriz, Iran in 1988. He received the Ph.D. degree from
Tabriz University, in 2005 in Electrical Power Engineering. He is now an Associate Professor
inUrmia University, Urmia, Iran. His research interests include Power Electronics, Flexible AC
Transmission Systems (FACTS), Power Quality in Power systems, Transients in Electrical
Power Systems, Renewable Energy systems, Power System Stability and Control.

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New Hybrid Structure Based on Improved Switched Inductor Z-Source and Parallel Inverters for Renewable Energy Systems

  • 1. International Journal of Power Electronics and Drive System (IJPEDS) Vol. 6, No. 3, September 2015, pp. 636~647 ISSN: 2088-8694  636 Journal homepage: http://iaesjournal.com/online/index.php/IJPEDS New Hybrid Structure Based on Improved Switched Inductor Z-Source and Parallel Inverters for Renewable Energy Systems Ali Zakerian, Daryoosh Nazarpour Department of Electrical and Computer Engineering, Urmia University, Urmia, Iran Article Info ABSTRACT Article history: Received Apr 12, 2015 Revised Jul 24, 2015 Accepted Aug 15, 2015 Nowadays, more and more distributed generations and renewable energy sources, such as wind, solar and tidal power, are connected to the public grid by the means of power inverters. They often form microgrids before being connected to the public grid. Due to the availability of high current power electronic devices, it is inevitable to use several inverters in parallel for high- power and/or low-cost applications. So, inverters should beconnected in parallel to provide system redundancy and high reliability, which are important for critical customers. In this paper, the modeling, designing and stability analysis of parallel-connected three-phaseinverters are derived for application in renewable energy systems. To enlarge voltage adjustability, the proposed inverter employs an improved switched inductor Z-source impedance network to couple the main circuit and the power source. Compared with the classical Z-source inverter (ZSI) and switched inductor Z-source inverter (SL-ZSI), the proposed inverter significantly increases the voltage boost inversion ability and also can increase the power capacity and the reliability of inverter systems. The proposed topology and its performances are validated using simulation results which are obtained in Matlab/Simulink. Keyword: Modulation index Parallel operation Switched inductor Voltage gain Z-source inverter Copyright © 2015 Institute of Advanced Engineering and Science. All rights reserved. Corresponding Author: Ali Zakerian, Departement of Electrical and Computer Engineering, Urmia University, Urmia, Iran. Email: zakerian.alii@gmail.com 1. INTRODUCTION In some renewable energy utilization applications, the input power source is a DC voltage source which has a wide voltage variation range, such as the grid-tied photovoltaic generation and fuel cell generation. In these cases, an inverter with boost capability is required to generate electricity at low input DC voltage. Different inverter topologies meeting the requirement can be found and classified into two categories: the isolated inverters and non-isolated inverters. The isolated inverters are usually equipped with a step-up transformer which makes the system bulky and low efficiency while the non-isolated inverter is considered high efficiency and high power density [1]. There are typically two popular non-isolated topology candidates for these applications. One is the traditional two-stage boost-buck inverter (BBI), and the other one is the newly proposed Z-source inverter (ZSI) [2]. The ZSI presents a new single-stage structure to achieve the voltage boost/buck character in a single power conversion stage, which has been reported in applications to renewable energysystems. The ZSI has gained popularity as a single-stage buck-boost inverter topology among many researchers. However, its boosting capability could be limited and therefore it may not be suitable for some applications requiring very high boost demanding of cascading other dc-dc boost converters. This could lose the efficiency and demand more sensing for controlling the added new stages.
  • 2.  ISSN: 2088-8694 IJPEDS Vol. 6, No. 3, September 2015 : 636 – 647 637 Over the recent years, many researchers have given their focus in many directions to develop ZSI to achieve different objectives [3]-[8]. In [9]-[12], the focus is on improving the boost factor of the ZSI. For instance, [9]-[11] add inductors, capacitors, and diodes to the Z-impendence network to produce a high dc- link voltage for the main power circuit from a very low input dc voltage. In [12], two inductors of the impedance Z-network are replaced by a transformer with a turn ratio of 2:1 to obtain high voltage gain. These topologies suit solar cell and fuel cell applications that can require high voltage gain to match the source voltage difference. Applying switched-capacitor, switched-inductor, hybrid switched-capacitor/switched-inductor structures, voltage-lift techniques, and voltage multiplier cells [13]-[15] to dc–dc conversion provides the high boost in cascade and transformerless structures with high efficiency and high power density. A successful combination of the ZSI and switched-inductor structure, called the switched inductorZSI (SL-ZSI) [9], provides strong step-up inversion to overcome the boost limitation of the classical ZSI. On the other hand, many industrial systems demand a reliable power supply. One way to increase the reliability is to increase the number of sources. Another way to increase the reliability is to have parallel inverters and this would increase the redundancy as well as the maintainability of the inverters. Moreover, the parallel connected inverters effectively offer a significantly higher level of availability than conventional approaches. Commercially available ratings range from several kVA to hundreds of kVA. Parallel connection techniques for inverters have been gaining increasing attentions in motor-drive systems, converter systems, and distributed generation systems [16]-[19]. Paralleled inverters can be built in numerous ways. First and the most obvious way is to have independent inverters with separate dc sources [20] and the other possibility is to connect the inverters into a common dc source [21]. First method is common as it is simple. However, it requires more than one power source. In the context of Z-source inverter, this method requires more than one independent Z-source impedance network.Therefore, this paper proposes a new hybrid structure based on improved SL Z-source impedance network and parallel inverters which share one dc-input voltage to increasethe output voltage in a wide range, usable in renewable energy systems. Moreover, because of the divided output current among parallel inverters, the proposed topology has the ability of supplying high load currents. The remainder of this paper is organized as follows. The next section is devoted to a detailed topology analysis of the improved SL Z-source impedance network. Operating principles and the equivalent circuit of the proposed topology are presented in section 3. Section 4 presents the simulation results and finally, conclusions are included in Section 5. 2. CIRCUIT ANALYSIS OF THE IMPROVED SL Z-SOURCE IMPEDANCE NETWORK As illustrated in Figure 1, the proposed improved SL Z-source impedance network consists of six inductors, two capacitors and twelve diodes. The combination of 1 2 3 1 2 3 4 5 6, , , , , , , ,L L L D D D D D D and the combination of 4 5 6 7 8 9 10 11 12, , , , , , , ,L L L D D D D D D performs the function of the top SL cell and the bottom SL cell, respectively. Both of these two SL cells are used to store and transfer the energy from the capacitors to the dc bus under the switching action of the main circuit. dcV inV inD 4D 2D 6D 10D 9D 12D 2L 5L 3L 6L 1C 2C 3D 1D 1L 5D 8D 11D 7D 4L Figure 1. Topology of the improved SL-ZSI
  • 3. IJPEDS ISSN: 2088-8694  New Hybrid Structure Based on Improved Switched Inductor Z-Source and Parallel …(Ali Zakerian) 638 From the viewpoint of the switching states of the main circuit connected with SL impedance network, the operation principles of this impedance network are similar to those of the classical Z-source impedance network. For the convenience of analysis, the equivalent circuit of the improved SL Z-source impedance network viewed from the dc bus is shown inFigure 2(a) in which a virtual active switchS and a passive switch oD are introduced tosimulate the practical shoot-through actions of the top and bottom arms.Therefore, the sub-states of this impedance network are classified into the shoot-through state and the non-shoot-through state, respectively. 2.1. Shoot-Through State During this sub-state, S is ON, while both inD and oD are OFF.For inductors of the top branch, four diodes 1 2 3, ,D D D and 4D are ON, while two diodes 5D and 6D are OFF. Then, three inductors 1 2 3, ,L L L are connected in parallel and charged by capacitor 1C . For inductors of the bottom branch, four diodes 7 8 9, ,D D D and 10D are ON, while two diodes 11D and 12D are OFF. Three inductors 4 5 6, ,L L L are connected in parallel and charged by capacitor 2C . The equivalent circuit is shown in Figure 2(b). 2.2. Non-Shoot-Through State This state corresponds to the six active states and two zero states of the main circuit and the equivalent circuit is shown inFigure 2(c).During this sub-state,S is OFF, while both inD and oD are ON. For inductors of the top branch, four diodes 1 2 3, ,D D D and 4D are OFF, while two diodes 5D and 6D are ON. Then, three inductors 1 2 3, ,L L L are connected in series and stored energy is transferred to inverter circuit. For inductors of the bottom branch, four diodes 7 8 9, ,D D D and 10D are OFF, while two diodes 11D and 12D are ON. Then, three inductors 4 5 6, ,L L L are connected in series and stored energy is transferred to inverter circuit. inV dcV inD oD S dcV inV 5L 3L 6L 1C 2C 1L 4L 2L dcV inV 2L 5L 3L 6L 1C 2C 1L 4L (a) (b) (c) Figure 2. Equivalent circuits. (a) Improved SL-ZSI viewed from the dc-link bus. (b) Shoot-through zero state. (c) Non-shoot-through zero state. Assuming that the six inductors ( 1 2 3 4 5, , , ,L L L L L and 6L ) have the same inductance ( L ) and two capacitors( 1C and 2C ) have the same capacitance (C ). As aresult, the network becomes symmetrical. From symmetrical circuit, the voltage across the capacitors and inductors become: 1 2C C CV V V  (1) 1 2 3 4 5 6L L L L L L Lv v v v v v v      (2) From Figure 2(b) that shows the equivalent circuit of the shoot-through state: L Cv V , 0inv  (3) Now consider non-shoot-through state. From Figure 2(c), the voltageequations can be obtained:
  • 4.  ISSN: 2088-8694 IJPEDS Vol. 6, No. 3, September 2015 : 636 – 647 639 3 L dc Cv V V  (4) 3 2in C L C dcv V v V V    (5) From the fact that the average voltages across the inductors during each switching cycle T are zero, the following equation can be derived: 0 0( )( ) 3 0 dc C C L L V V T V T T V v T       (6) Where, 0T is the shoot-through time interval over a switching cycle, or 0( / )T T D is the shoot- through duty ratio. From (6), 1 1 4 C dc D V V D    (7) Therefore, the peak dc-link voltage across the inverter bridge can be written: 1 2 ˆ 3 2 1 4 in C L C dc dc D v V v V V V D        (8) Thus, the boost factor B is expressed as: 0 1 0 0 1 2( )1 2 1 4 1 4( ) T TD B B B D T T        (9) Where, 0B and 1B are defined as the boost factor of the classical Z-source and switched inductor Z-source impedance networks, respectively. Their expressions are given by [9] as: 0 0 1 1 1 2 1 ( ) B D T T     , 0 1 0 1 ( )1 1 3 1 3( ) T TD B D T T      (10) For the comparison of the individual boost ability, the curves of the boost factor B versus the duty ratio D for improved SL Z-source, SL Z-source and classical Z-source impedance networks are shown in Figure 3. As shown in Figure 3, the boost ability of the improved SL Z-source impedance network is significantly increased compared with SL Z-source and classical Z-source impedance networks. Figure 3. Boost ability comparison 0 0.05 0.1 0.15 0.2 0 5 10 15 20 Shoot-through Duty Ratio (D) BoostFactor(B) Conventional Z-Source SL Z-Source Improved SL Z-Source
  • 5. IJPEDS ISSN: 2088-8694  New Hybrid Structure Based on Improved Switched Inductor Z-Source and Parallel …(Ali Zakerian) 640 3. THE PROPOSED TOPOLOGY Parallel operation of inverters has many advantages such as modularity, ease of maintenance, ( 1)n  redundancy, high reliability and many others [22-24]. In addition to these, output current ripple of the paralleled inverter can be reduced significantly by virtue of interleaving effect [25]. The basic concept of the proposed improved SL Z-source impedance network with N-parallel inverters is shown in Figure 4. It is assumed that all inverters share the same dc bus that is fed from improved switched inductor Z- source impedance network.Since the voltage at the point of common connection is derived from the switching of different power semiconductors, an intermodule reactor is absolutely necessary to interconnect the different inverters. As described in [3], two PWM control methods, termed as the simple boost control method and the maximum boost control method have been explored, which result in the different relationships of the voltage boost inversion ability versus the given modulation index M . Since the aforementioned two methods can be regarded as the theoretical basis of various advanced PWM strategies such as the third-harmonic injection method and the space vector PWM method, the proposed structure under the condition of these two methods will be explored in the following discussions, respectively. For the convenience of illustration, the waveforms and switching strategies of aforementioned two methods are shown together in Figure 5. 1bL 1aL 1cL 2aL 2bL 2cL aNL bNL cNL dcV inV Figure 4. Parallel improved SL Z-source inverters av bv cv 1T 3T 5T 4T 6T 2T Figure 5. Waveforms and switching strategies of two basic PWM control methods It is seen fromFigure 5that in the simple boost control, a straight line equal to or greater than the peak value of the three phase references is employed. The obtainable duty ratio of the shoot-through state can be regarded as a constant value, and its maximum value is limited to(1 )M . The voltage conversion ratio of the whole inverter G can be expressed by: ˆ 2 out dc v G MB V   (11) Where, ˆoutv is the peak value of the output phase voltage. Therefore, the maximum voltage conversion ratio maxG versus any desired modulation index M can be expressed by: max 1 01 (3 2 ) 4 3 s sD M M M G MB G G M          (12) Where, 0 sG  and 1 sG  are defined as the maximum voltage conversion ratio of the classical ZSI and SL-ZSI, respectively. Their expressionsare given by [9] as follows: 0 2 1 s M G M    , 1 (2 ) 3 2 s M M G M     (13)
  • 6.  ISSN: 2088-8694 IJPEDS Vol. 6, No. 3, September 2015 : 636 – 647 641 For the maximum boost control method as shown in Figure 5, the key point is that all zero states need to be turned into the shoot-through state so as to make the duty ratio as large as possible. Therefore, the shoot-through duty cycle varies in each cycle. As described in [3], the average duty ratio of the shoot-through zero state, D is expressed by: 0 2 3 3 2 T M D T      (14) Substituting (14) into (9), we can get the equivalent boost factor B under the condition of variable duty ratios: 1 2 6 6 3 1 4 12 3 6 D M B D M         (15) Therefore, the maximum voltage conversion ratio maxG versus any desired modulation index M approximates to: max 1 0 (6 6 3 ) 12 3 6 m m M M G MB G G M           (16) Where, 0 mG  and 1 mG  are defined as the maximum voltage conversion ratio of the classical ZSI and SL-ZSI, respectively. Their expressionsare given by [9] as follows: 0 3 3 m M G M      , 1 (4 3 3 ) 9 3 4 m M M G M       (17) Figure 6(a) shows the maximum obtainable voltage conversion ratios versus the given modulation index under the simple boost control condition. It is shown that the voltage boost ability is unavailable at 1M  .However, if 1M  , with the decreasing of M , the voltage boost inversion ability of the proposed inverter becomes much stronger than SL-ZSI and classical ZSI. It means that for a given voltage conversion ratio, a higher modulation index can be used in the proposed inverter to improve the inverter output performance. Figure 6(b) shows the maximum obtainable voltage conversion ratios versus the given modulation index under the maximum boost control condition. It is shown that the voltage boost inversion abilities of theseinverters have been enhanced to a wider range by this method. Similar to the observation in Figure 6(a), the proposed inverter exhibits its advantage of stronger voltage boost inversion ability at the low modulation index. (a) (b) Figure 6. Maximum voltage conversion ratio. (a) Under the simple boost control condition. (b) Under the maximum boost control condition. 0.7 0.75 0.8 0.85 0.9 0.95 1 0 5 10 15 20 Modulation Index (M) VoltageConversionRatio(M*B) Conventional ZSI SL-ZSI Proposed Topology 0.91 0.92 0.93 0.94 0.95 0.96 0.97 0.98 0.99 1 0 5 10 15 20 Modulation Index (M) VoltageConversionRatio(M*B) Conventional ZSI SL-ZSI Proposed Topology
  • 7. IJPEDS ISSN: 2088-8694  New Hybrid Structure Based on Improved Switched Inductor Z-Source and Parallel …(Ali Zakerian) 642 Figure 7 shows a simplified equivalent circuit of the system illustrated in Figure 4. It is assumed that each inverter develops a balanced three phase voltage and its intermodule reactor consists of identical phase inductors. However, differences may exist between different inverter modules, both in voltage and reactance. Under such assumptions, the equivalent circuit illustrated in Figure 7, may be further simplified into a phasor equivalent circuit shown in Figure 8. Here, each inverter is represented by its internal phasor voltage source, and one inductor and one resistor representing the equivalent series resistance of the circuit. AI BI CI 1AI 1BI 1CI 2AI 2BI 2CI ANI BNI CNI AV BV CV 1AV 2AV ANV 2BV 1CV 1BV 2CV BNV CNV O 1AL 1BL 1CL 2AL 2BL 2CL ANL BNL CNL 1I 2I NI CV LI 1L 2L NL 1R 2R NR 1V 2V NV O Figure 7. Simplified equivalent circuit Figure 8. Simplified phasor model Inverter pole voltage and current vectors can be defined as 1 2( ... )T NV V V and 1 2( ... )T NI I I respectively, corresponding to the labels illustrated in Figure 8. Now, the thevenin impedance of th i inverter, iZ may be identified to be: , = 1, 2, ... ,i i iZ R j L i N  (18) And the equivalent thevenin impedance of all inverters in parallel, THZ , may be determined as: 1 2Z ...TH NZ Z Z (19) Furthermore, the voltage at the common coupling point can be calculated to be: 1 ( ) N j C TH L j j V V Z I Z   (20) Now, the output current of the th i inverter can be evaluated as: 1 ( ) , N jTH i TH i L ji i j j VZ V Z I I i Z Z Z Z     (21) From equation 21 and Figure 6, it can be derived the proposed structure can achieve higher voltage than the previous converters and also, because of dividing the output current between parallel inverters, the probable damages to the switches which can be caused by high currents are preventable and this will increase the reliability of the system.
  • 8.  ISSN: 2088-8694 IJPEDS Vol. 6, No. 3, September 2015 : 636 – 647 643 It may be observed from (21), that various iZ play an important role in determining the sharing of current between the different modules. In order to quantify this phenomenon, the sensitivity of the current to the thevenin impedance, iZ can be determined to be: 2 2 3 2 ,i L i TH TH i i i i i I I V Z Z V i Z Z Z Z        (22) Therefore, small deviations in equivalent thevenin impedances of inverters can result in uneven current distributions as suggested by (21).From (22), we can also observe that, if the thevenin impedance is increased, the dependence of output current on the output impedance is also decreased leading to better current distribution. 4. SIMULATION RESULTS Extensive computer simulation using MATLAB-Simulink has been performed to prove performance of the proposed inverter. The simulation schematic for the proposed topology is shown in Figure 9and the selected parameters are: 36VdcV  , 1 2 3 4 5 6 1mHL L L L L L      , 1 2 1000 FC C   , Switching frequency = 10kHz, 1mH and 22.5 Ff fL C   (Three-phase output filter), Three-phase resistive load = 10/phase. In the simulation, all components are assumed ideal. The proposed topology is compared to the other topologies which have been proposed in [2] and [9], under the simple boost control method (case 1) and the maximum boost control method (case 2) with the same shoot-through duty ratio. inV dcV 1C 2C Figure 9. Schematic of two parallel inverters based on improved SL Z-source impedance network 4.1. Simple Boost Control The proposed system works with shoot-through duty ratio 0.2D  and modulation index 0.8M  . We obtain 7B  and 5.6G  using mentioned equations.Figure 10 showsthe simulation results for the proposed topology which are voltage across the inverters ( inV ), voltage of capacitors ( CV ), output voltage, current waveforms of the up and down inverters and also the load current waveform, respectively. It is seen that the steady-state performance in the simulation is identically matching to the theoretical analysis. In order to compare the proposed structure with previous structures, we apply the same values of D and M to the classical ZSI and SL-ZSI, and the boost inversion ability will be decreased sharply. The corresponding parameters are 1.67B  , 1.336G  for the classical ZSI and 3B  , 2.4G  for the SL- ZSI, which are much lower than those achieved by the proposed inverter. The simulation results for these
  • 9. IJPEDS ISSN: 2088-8694  New Hybrid Structure Based on Improved Switched Inductor Z-Source and Parallel …(Ali Zakerian) 644 structures are shown in Figures 11 and 12, respectively. By comparison between simulation results, it is completely obvious that the proposed structure can transfer higher power than the other topologies. Figure 10. Simulation results of the proposed topology (case 1) Figure 11. Simulation results of the ZSI (case 1) Figure 12. Simulation results of the SL-ZSI (case 1) 4.2. Maximum Boost Control Under the condition of the maximum boost control, according to (14-16), we consider 0.967M  . Therefore, we obtain 0.2D  , 7B  and max 6.769G  . The simulation results for the proposed topology are plotted in Figure 13, which are voltage across the inverters ( inV ), voltage of capacitors ( CV ), output voltage, current waveforms of the up and down inverters and also the load current waveform, respectively. Because the duty ratio varies periodically, a small oscillation has been introduced into inV and CV . All simulation results comply with the equations derived in sections 2 and 3. 0 0.05 0.1 0.15 0.2 0.25 -100 0 100 200 300 Time (S) (a) Vin(V) 0 0.05 0.1 0.15 0.2 0.25 0 50 100 150 200 Time (S) (b) VC(V) 0 0.05 0.1 0.15 0.2 0.25 -5 0 5 Time (S) (d) Iinverter1 (A) 0 0.05 0.1 0.15 0.2 0.25 -5 0 5 Time (S) (e) Iinverter2 (A) 0 0.05 0.1 0.15 0.2 0.25 -10 -5 0 5 10 Time (S) (f) ILoad (A) 0 0.05 0.1 0.15 0.2 0.25 -150 -100 -50 0 50 100 150 Time (S) (c) Vout(V) -50 0 50 100 150 Vin(V) 0 50 100 VC(V) -50 0 50 Vout(V) 0 0.05 0.1 0.15 0.2 0.25 -5 0 5 Time (S) ILoad(A) -100 0 100 200 Vin(V) 0 50 100 VC(V) -50 0 50 Vout(V) 0 0.05 0.1 0.15 0.2 0.25 -5 0 5 Time (S) ILoad(A)
  • 10.  ISSN: 2088-8694 IJPEDS Vol. 6, No. 3, September 2015 : 636 – 647 645 For the case of the classical ZSI and SL-ZSI, when M is taken as 0.967 , the boost inversion ability is still very weak. The corresponding parameters are: 1.668B  , max 1.613G  for the classical ZSI and 3B  , max 2.901G  for the SL-ZSI. The simulation results for these structures are shown in Figures 14 and 15 respectively. Figure 13. Simulation results of the proposed topology (case 2) Figure 14. Simulation results of the ZSI (case 2) Figure 15. Simulation results of the SL-ZSI (case 2) The improved switched inductor Z-source structure is extensible for the further development using the coupled inductor techniques and other potential improving techniques.Additionally, in conditions where the load requires higher current, in order to prevent the probable damages to the switches, by increasing the number of inverters in parallel we can supply the load by desired current. 0 0.05 0.1 0.15 0.2 0.25 -100 0 100 200 300 400 Time (S) (a) Vin(V) 0 0.05 0.1 0.15 0.2 0.25 0 50 100 150 200 Time (S) (b) VC(V) 0 0.05 0.1 0.15 0.2 0.25 -150 -100 -50 0 50 100 150 Time (S) (c) Vout(V) 0 0.05 0.1 0.15 0.2 0.25 -5 0 5 Time (S) (d) Iinverter1(A) 0 0.05 0.1 0.15 0.2 0.25 -5 0 5 Time (S) (e) Iinverter2(A) 0 0.05 0.1 0.15 0.2 0.25 -15 -10 -5 0 5 10 15 Time (S) (f) ILoad(A) -50 0 50 100 150 Vin(V) 0 50 100 VC(V) -50 0 50 Vout(V) 0 0.05 0.1 0.15 0.2 0.25 -5 0 5 Time (S) ILoad(A) -100 0 100 200 Vin(V) 0 50 100 VC(V) -50 0 50 Vout(V) 0 0.05 0.1 0.15 0.2 0.25 -5 0 5 Time (S) ILoad(A)
  • 11. IJPEDS ISSN: 2088-8694  New Hybrid Structure Based on Improved Switched Inductor Z-Source and Parallel …(Ali Zakerian) 646 5. CONCLUSION This paper has presented a new hybrid structure based on improved switched inductor Z-source and parallel inverters to expand the range of system's voltage gain and supply high load currents. With this structure, the proposed inverter has the following features:  The proposed inverter has all the advantages of paralleling power converters such as modularity, ease of maintenance, (n + 1) redundancy, high reliability, reducing of the output current ripple, etc.  It can be short- or open-circuited without damaging switching devices. Therefore, it is very resistant to EMI noise and therefore its robustness and reliability are significantly improved.  The boost factorhas been increased to (1 + 2D)/1-4D).  Since here the load current can be divided between all inverters, in conditions where the load requires high current, the probable damages to the switches which can be caused by high currents are preventable. The steady state operation is performed to analyze the boosting capability then it is validated by simulation results. REFERENCES [1] X Yuan, Y Zhang. Status and Opportunities of Photovoltaic Inverters in Grid-Tied and Micro-Grid Systems. 5th International Conference on Power Electronics and Motion Control (IPEMC), 2006; 1-4. [2] FZ Peng. Z-source inverter.IEEE Trans. Ind. Appl., 2003; 39(2): 504-510. [3] FZ Peng, M Shen, Z Qian. Maximum boost control of the Z-source inverter. IEEE Trans. Power Electron., 2005; 20(4): 833-838. [4] J Anderson. FZ Peng. Four quasi-Z-Source inverters. Power Electron. Spec. 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  • 12.  ISSN: 2088-8694 IJPEDS Vol. 6, No. 3, September 2015 : 636 – 647 647 [25] D Shin, H Cha, JP Lee, DW Yoo, FZ Peng, HG Kim. Parallel Operation of Trans-Z-Source Inverter. 8th International Conference on Power Electronics and ECCE (ICPE & ECCE). Asia. 2011; 774-748. BIOGRAPHIES OF AUTHORS Ali Zakerian was born in Andimeshk, Iran, in 1990. He received the B.Sc. degree in Power Electrical Engineering from Urmia University, Urmia, Iran in 2013 and is currently a M.Sc. student in Power Electrical Engineering in the same university. His current research interests include power electronic converters, multilevel converters, Z-source converters, Application of Power Electronics in Renewable Energy Systems, Flexible AC Transmission Systems (FACTS), Plug-In Hybrid Electric Vehicles. Daryoosh Nazarpour was born in Urmia, Iran in 1958. He received his B.Sc. degree from Iran University of Science and Technology, Tehran, Iran in 1982 and the M.Sc. degree from Faculty of Engineering, University of Tabriz, Tabriz, Iran in 1988. He received the Ph.D. degree from Tabriz University, in 2005 in Electrical Power Engineering. He is now an Associate Professor inUrmia University, Urmia, Iran. His research interests include Power Electronics, Flexible AC Transmission Systems (FACTS), Power Quality in Power systems, Transients in Electrical Power Systems, Renewable Energy systems, Power System Stability and Control.