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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 485
Comparison of H5 and HERIC Trasformerless Inverter Topology
Conserning Leakage Current and Efficiency for PV System
Sushama Meshram1, Heena Sheikh2
1PG Scholar, 2Assistant Professor
1,2Dept. of Electrical Engineering, Ballarpur Institute of Technology, Balharshah, Maharashtra, India.
---------------------------------------------------------------------***----------------------------------------------------------------------
Abstract – The single phase photovoltaic transformer less
inverter system it is connected to the grid, this system is
mostly depends upon the filters. The filter are required
because of there are no transformer are used. In this system
we are studying about eliminating the common mode
leakage current in the transformer less photovoltaic grid
connected system. The main aim of this project is to
compare between H5 and HERIC topologies. Also we are
comparing the common mode leakage current of this two
main topologies used in the system. So the main aim of this
research is to compare the H5 and HERIC topologies and
analyze the result for better output between this two
topologies. In this topologies the universal bridge are design,
that control with PWM pulses. The overall concept of the
system is PV system are generate the voltage that voltage
can boost using the boost converter and also system used
another topologies that is maximum power point (MPP)
because of the batteries efficiency are increase, and output
of boost converter are given to the universal bridge inverter,
and other part is filter, the output of inverter in given to
filter because of no transformer are used. The design of
transformer less inverter is based on the galvanic isolation
method to eliminate the generation of leakage current.
Unfortunately, the use of the galvanic isolation method
alone cannot achieve constant common mode voltage
(CMV). Therefore, a complete elimination of leakage current
cannot be achieve. This system is studied and design using
MATLAB Simulink software.
Key Words: Trasformerless Inverter, Elimination
of Leakage Current, reactive power; PV system,
MPPT, H5, H6, HERIC.
1. INTRODUCTION
A few transformerless inverter topologies have
been displayed and distributed. One of the downsides of
PV transformerless inverters is the producing of leakage
current because of the absence of a transformer. High
generation of leakage current increases framework losses,
total harmonic distortion (THD), electromagnetic
interference (EMI) and can cause individual wellbeing
issue. The writing refers to different balance methods that
have been utilized to dispose of or limit leakage current.
Numerous transformerless inverter topologies
with unipolar regulation method have been acquainted
with increment framework proficiency and reduce the
leakage current by separating the AC and DC sides during
the freewheeling modes; this is known as galvanic
disconnection. Numerous topologies have been
determined and created dependent on this technique,
including an highly efficient and reliable inverter concept
(HERIC), the H5 inverter and the H6 topology. However,
total disposal of leakage current can't be accomplished
with the galvanic separation technique alone in light of the
fact that common mode voltage (CMV) during
freewheeling periods can't be recognized by the
exchanging state, which implies that it isn't consistent.
Thusly, adjustment methodologies and converter
structures must be changed so CMV winds up consistent
during all inverter working modes.
The greater part of the regulation methods are
intended for the utilization of a unity power factor. To be
sure, next-generation PV inverters are required to help
responsive capacity to consider the high penetration of PV
inverters to be associated with the utility network. A few
worldwide models have been evaluated to accomplish
receptive power support. As revealed by VDE-AR-N4105,
PV grid connected inverters must be able to produce
reactive power.
Considering all this, a traditional bipolar
modulation strategy is proposed as a conceivable
possibility to be utilized in next-generation PV inverters,
since it can produce reactive power and take out leakage
current. All things considered, utilizing bipolar modulation
procedures to produce reactive power will build increase
switching losses and degrade system efficiency as it is a
two-level modulation.
In this paper, WBG power devices, for example,
SiC MOSFET are utilized to accomplish reactive power
generation without adjusting or altering the structure of
the circuit. Moreover, the total losses (switching and
conduction) are essentially with SiC MOSFET because of
its prevalent attributes. Also, high efficiency and low THD
is accomplished when working the framework at high
exchanging recurrence of 100 kHz with SiC MOSFET.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 486
2. METHODOLOGY
A. MPPT:
This area covers the operation of” Maximum Power
Point Tracking” as utilized as a part of solar electric charge
controllers.
A MPPT, or maximum power point tracker is an
electronic DC to DC converter that enhances the match
between the solar based cluster (PV panels), and the
battery bank or utility grid. Basically, they change over a
higher voltage DCoutput from solar panels down to the
lower voltage expected to charge batteries.
In this research utilized unipolar based Voltage source
PWM (pulse width modulation) dc to ac inverter. With the
goal that the state of the output is Square PWM wave. In
this paper utilized this on the grounds that on the off
chance that we pass this sort of flag in a low pass channel
than we get sine wave which matches to the network.
Fig. 4: Flow Chart of MPPT
B. Principle of operation of HERIC inverter:
HERIC transformer - less inverter consists of
conventional H - bridge inverter in addition to two
switches S5 and S6 as shown in Fig. 1. The switches S5 and
S6 are connected in a reversed manner. The additional
switches with their antiparallel diodes disconnect the PV -
array from the load during periods of zero output voltage
of the inverter.
Fig.1. Simulink diagram of HERIC topology
C. Principle of operation of H5 inverter:
H5 transformer - less inverter consists of conventional
H - bridge inverter in addition to only extra switch S5 as
shown in Fig. 3. Although only one switch is added, this
switch conducts during the two active modes. Therefore,
three switches are always 'ON' in the active modes thus
the conduction  losses increase.
Fig.2. Simulink diagram of H5 topology.
D. Comparison between HERIC and H5 inverters
The comparison between the two inverters is
based on three criteria; conduction losses, size of the
required filter and amount of leakage current.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 487
I) Conduction losses
The average conduction losses of each switch,
freewheeling diode conduction losses and total conduction
losses for H5 and HERIC inverters respectively. It can be
noticed that the conduction losses with HERIC inverter is
lower than that of H5 inverter although six switches are
used in HERIC inverters. The reason is that during active
modes S5 always conducts in H5 inverter and as a results
three switches always conduct in active modes. On the
other hand, only two switches conducts in active modes
with HERIC inverter. It is also noticed that the conduction
losses when applying SHE is lower than conduction losses
when applying SPWM for the two inverters. Conduction
losses the dominant losses of power switches are the
conduction losses. For simplicity, the switching losses are
neglected. The conduction losses of each switch and its
freewheeling diode is considered.
II) Leakage current
Leakage current flows from the PV panel to the
ground through a parasitic capacitance whose value is set
at 60 nF for each case. The PV leakage current with the
two inverters and when applying the two techniques of
switching the inverters. All values of leakage currents are
within the limit according to standard (VDE 0126 – 1 – 1 -
2006, 2008). The leakage current in case of HERIC
inverters is lower than that when applying H5 inverter.
Fig.3. Leakage current of HERIC topology.
Fig.4. Leakage current of H5 topology.
III) LCL filter size
A simple LCL filter is utilized to cancel the
harmonics in the output voltage of the inverters. The
values of filter capacitance are very close in all cases while
the inductance value using SHE technique is nearly three
times that in SPWM. The reason is that using SHE
technique only eliminates selected low order harmonics.
Table 1 LCL filter size of each inverter
Inverter
type
Capacitance
(μF)
Inductance
(mH)
HERIC
(SPWM) 40 12
HERIC
(SHE) 35 35
H5
(SPWM) 40 12
H5
(SHE) 35 35
3. RESULT
The outcomes demonstrate that the proposed
topology with the galvanic isolation technique alone can't
totally dispose of leakage current. Then again, the common
mode voltage is totally clamped at 400 V during the whole
time frame, and a total end of leakage current is
accomplished with the modified proposed topology. In
addition, there is present distortion in the negative power
district with conventional PWM, while with the proposed
regulation, a current path is made and the current
distortion is dispensed with. Besides, THD is decreased by
82% with the modified modulation technique. The
proficiency of the framework is estimated with SiC
MOSFET to upgrade framework execution, particularly
with reactive power generation. It is seen that framework
proficiency diminished by 2% at 100 kHz because of the
reactive power ability, because the increase in conducting
switches also increases loss. In brief, the proposed
modulation technique satisfies the requirement for a next-
generation, single-phase, PV grid tied inverter where
reactive power control is required.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 488
Fig.5. Output of HERIC topology inverter.
Fig 6. Output of H5 topology inverter.
4. CONCLUSION
When working at high exchanging recurrence, the
stray capacitors will be charged and released by the
common mode voltage (CMV). As a result, a resonant
circuit is formed that includes PV stray capacitors, grid
impedance and output filter inductances. Consequently,
the resonant circuit will be energized and the leakage
current will move through the parasitic capacitances
between the PV panel and the ground. There are
numerous detriments related with the circling of leakage
current in the framework, for example, expanded
framework misfortunes, total harmonic distortion (THD)
and genuine security and radiated interference problems
issues. In this paper, a proposed topology is changed with
an additional change to accomplish constant common
mode voltage and eliminating leakage current. Besides, the
modulation method is modified with the goal that reactive
power generation can be accomplished. Three voltages'
states must be created in the negative power region to
fulfill the necessity of unipolar PWM. In any case, regular
unipolar PWM can't produce a zero-voltage in the negative
power region. The proposed modulation technique makes
another present way in the negative power area where a
zero-voltage state can be accomplished. To this end, the
proposed modulation technique empowers the proposed
inverter with reactive power generation with no
progressions to the inverter structure Moreover, the
proposed modulation achieved a constant common mode
voltage that leads to eliminating leakage current.
References
1. Li, W.; Gu, Y.; Luo, H.; Cui, W.; He, X.; Xia, C. Topology
review and derivation methodology of single-phase
transformerless photovoltaic inverters for leakage current
suppression. IEEE Trans. Ind. Electron. 2015, 62, 4537–
4551
2. Guo, X.; He, R.; Jian, J.; Lu, Z.; Sun, X.; Guerrro, M. Leakage
current elimination of four-leg inverter for
transformerless three-phase PV systems. IEEE Trans.
Power Electron. 2016, 31, 1841–1846.
3. Kerekes, T.; Teodorescu, R.; Rodríguez, P.; Vázquez, G.;
Aldabas, E. A new high-efficiency single-phase
transformerless PV inverter topology. IEEE Trans. Ind.
Electron. 2011, 58, 184–191.
4. Dutta, S.; Debnath, D.; Chatterjee, K. A grid-connected
single-phase transformerless inverter controlling two
solar PV arrays operating under different atmospheric
conditions. IEEE Trans. Ind. Electron. 2018, 65, 374–385.
5. Knabben, G.C.; Schmitz, L.; Coelho, R.F.; Martins, D.C.;
Custódio, O.J.; de Medeiros, R.Z.; Bettiol, A.L.
Transformerless micro-inverter for grid-connected
photovoltaic systems. In Proceedings of the 52nd
International Universities Power Engineering Conference
(UPEC), Heraklion, Greece, 28–31 August 2017; pp. 1–6.
6. AZhao, T.; Bhavaraju, V.; Nirantare, P.; Xu, J. Evaluation
of commercial scale transformerless solar inverter
technology. In Proceedings of the 2015 IEEE Energy
Conversion Congress and Exposition (ECCE), Montreal, QC,
Canada, 20–24 September 2015; pp. 5342–5348.
7. Chen, B.; Lai, J.S. A family of single-phase
transformerless inverters with asymmetric phase-legs. In
Proceedings of the 2015 IEEE Applied Power Electronics
Conference and Exposition (APEC), Charlotte, NC, USA, 15–
19 March 2015; pp. 2200–2205.
8. Lee, J.; Lee, K. New modulation techniques for a leakage
current reduction and a neutral-point voltage balance in
transformerless photovoltaic systems using a three-level
inverter. IEEE Trans. Power Electron. 2014, 29, 1720–
1732.
9. Freddy, T.; Rahim, N.; Hew, W.; Che, H. Modulation
techniques to reduce leakage current in three-phase
transformerless H7 photovoltaic inverter. IEEE Trans. Ind.
Electron. 2015, 62, 322–331.
10. Cha, W.; Kim, K.; Cho, Y.; Lee, S.; Kwon, B. Evaluation
and analysis of transformerless photovoltaic inverter
topology for efficiency improvement and reduction of
leakage current. IET Power Electron. 2014, 8, 255–267.

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IRJET- Comparison of H5 and HERIC Trasformerless Inverter Topology Conserning Leakage Current and Efficiency for PV System

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 485 Comparison of H5 and HERIC Trasformerless Inverter Topology Conserning Leakage Current and Efficiency for PV System Sushama Meshram1, Heena Sheikh2 1PG Scholar, 2Assistant Professor 1,2Dept. of Electrical Engineering, Ballarpur Institute of Technology, Balharshah, Maharashtra, India. ---------------------------------------------------------------------***---------------------------------------------------------------------- Abstract – The single phase photovoltaic transformer less inverter system it is connected to the grid, this system is mostly depends upon the filters. The filter are required because of there are no transformer are used. In this system we are studying about eliminating the common mode leakage current in the transformer less photovoltaic grid connected system. The main aim of this project is to compare between H5 and HERIC topologies. Also we are comparing the common mode leakage current of this two main topologies used in the system. So the main aim of this research is to compare the H5 and HERIC topologies and analyze the result for better output between this two topologies. In this topologies the universal bridge are design, that control with PWM pulses. The overall concept of the system is PV system are generate the voltage that voltage can boost using the boost converter and also system used another topologies that is maximum power point (MPP) because of the batteries efficiency are increase, and output of boost converter are given to the universal bridge inverter, and other part is filter, the output of inverter in given to filter because of no transformer are used. The design of transformer less inverter is based on the galvanic isolation method to eliminate the generation of leakage current. Unfortunately, the use of the galvanic isolation method alone cannot achieve constant common mode voltage (CMV). Therefore, a complete elimination of leakage current cannot be achieve. This system is studied and design using MATLAB Simulink software. Key Words: Trasformerless Inverter, Elimination of Leakage Current, reactive power; PV system, MPPT, H5, H6, HERIC. 1. INTRODUCTION A few transformerless inverter topologies have been displayed and distributed. One of the downsides of PV transformerless inverters is the producing of leakage current because of the absence of a transformer. High generation of leakage current increases framework losses, total harmonic distortion (THD), electromagnetic interference (EMI) and can cause individual wellbeing issue. The writing refers to different balance methods that have been utilized to dispose of or limit leakage current. Numerous transformerless inverter topologies with unipolar regulation method have been acquainted with increment framework proficiency and reduce the leakage current by separating the AC and DC sides during the freewheeling modes; this is known as galvanic disconnection. Numerous topologies have been determined and created dependent on this technique, including an highly efficient and reliable inverter concept (HERIC), the H5 inverter and the H6 topology. However, total disposal of leakage current can't be accomplished with the galvanic separation technique alone in light of the fact that common mode voltage (CMV) during freewheeling periods can't be recognized by the exchanging state, which implies that it isn't consistent. Thusly, adjustment methodologies and converter structures must be changed so CMV winds up consistent during all inverter working modes. The greater part of the regulation methods are intended for the utilization of a unity power factor. To be sure, next-generation PV inverters are required to help responsive capacity to consider the high penetration of PV inverters to be associated with the utility network. A few worldwide models have been evaluated to accomplish receptive power support. As revealed by VDE-AR-N4105, PV grid connected inverters must be able to produce reactive power. Considering all this, a traditional bipolar modulation strategy is proposed as a conceivable possibility to be utilized in next-generation PV inverters, since it can produce reactive power and take out leakage current. All things considered, utilizing bipolar modulation procedures to produce reactive power will build increase switching losses and degrade system efficiency as it is a two-level modulation. In this paper, WBG power devices, for example, SiC MOSFET are utilized to accomplish reactive power generation without adjusting or altering the structure of the circuit. Moreover, the total losses (switching and conduction) are essentially with SiC MOSFET because of its prevalent attributes. Also, high efficiency and low THD is accomplished when working the framework at high exchanging recurrence of 100 kHz with SiC MOSFET.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 486 2. METHODOLOGY A. MPPT: This area covers the operation of” Maximum Power Point Tracking” as utilized as a part of solar electric charge controllers. A MPPT, or maximum power point tracker is an electronic DC to DC converter that enhances the match between the solar based cluster (PV panels), and the battery bank or utility grid. Basically, they change over a higher voltage DCoutput from solar panels down to the lower voltage expected to charge batteries. In this research utilized unipolar based Voltage source PWM (pulse width modulation) dc to ac inverter. With the goal that the state of the output is Square PWM wave. In this paper utilized this on the grounds that on the off chance that we pass this sort of flag in a low pass channel than we get sine wave which matches to the network. Fig. 4: Flow Chart of MPPT B. Principle of operation of HERIC inverter: HERIC transformer - less inverter consists of conventional H - bridge inverter in addition to two switches S5 and S6 as shown in Fig. 1. The switches S5 and S6 are connected in a reversed manner. The additional switches with their antiparallel diodes disconnect the PV - array from the load during periods of zero output voltage of the inverter. Fig.1. Simulink diagram of HERIC topology C. Principle of operation of H5 inverter: H5 transformer - less inverter consists of conventional H - bridge inverter in addition to only extra switch S5 as shown in Fig. 3. Although only one switch is added, this switch conducts during the two active modes. Therefore, three switches are always 'ON' in the active modes thus the conduction losses increase. Fig.2. Simulink diagram of H5 topology. D. Comparison between HERIC and H5 inverters The comparison between the two inverters is based on three criteria; conduction losses, size of the required filter and amount of leakage current.
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 487 I) Conduction losses The average conduction losses of each switch, freewheeling diode conduction losses and total conduction losses for H5 and HERIC inverters respectively. It can be noticed that the conduction losses with HERIC inverter is lower than that of H5 inverter although six switches are used in HERIC inverters. The reason is that during active modes S5 always conducts in H5 inverter and as a results three switches always conduct in active modes. On the other hand, only two switches conducts in active modes with HERIC inverter. It is also noticed that the conduction losses when applying SHE is lower than conduction losses when applying SPWM for the two inverters. Conduction losses the dominant losses of power switches are the conduction losses. For simplicity, the switching losses are neglected. The conduction losses of each switch and its freewheeling diode is considered. II) Leakage current Leakage current flows from the PV panel to the ground through a parasitic capacitance whose value is set at 60 nF for each case. The PV leakage current with the two inverters and when applying the two techniques of switching the inverters. All values of leakage currents are within the limit according to standard (VDE 0126 – 1 – 1 - 2006, 2008). The leakage current in case of HERIC inverters is lower than that when applying H5 inverter. Fig.3. Leakage current of HERIC topology. Fig.4. Leakage current of H5 topology. III) LCL filter size A simple LCL filter is utilized to cancel the harmonics in the output voltage of the inverters. The values of filter capacitance are very close in all cases while the inductance value using SHE technique is nearly three times that in SPWM. The reason is that using SHE technique only eliminates selected low order harmonics. Table 1 LCL filter size of each inverter Inverter type Capacitance (μF) Inductance (mH) HERIC (SPWM) 40 12 HERIC (SHE) 35 35 H5 (SPWM) 40 12 H5 (SHE) 35 35 3. RESULT The outcomes demonstrate that the proposed topology with the galvanic isolation technique alone can't totally dispose of leakage current. Then again, the common mode voltage is totally clamped at 400 V during the whole time frame, and a total end of leakage current is accomplished with the modified proposed topology. In addition, there is present distortion in the negative power district with conventional PWM, while with the proposed regulation, a current path is made and the current distortion is dispensed with. Besides, THD is decreased by 82% with the modified modulation technique. The proficiency of the framework is estimated with SiC MOSFET to upgrade framework execution, particularly with reactive power generation. It is seen that framework proficiency diminished by 2% at 100 kHz because of the reactive power ability, because the increase in conducting switches also increases loss. In brief, the proposed modulation technique satisfies the requirement for a next- generation, single-phase, PV grid tied inverter where reactive power control is required.
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 488 Fig.5. Output of HERIC topology inverter. Fig 6. Output of H5 topology inverter. 4. CONCLUSION When working at high exchanging recurrence, the stray capacitors will be charged and released by the common mode voltage (CMV). As a result, a resonant circuit is formed that includes PV stray capacitors, grid impedance and output filter inductances. Consequently, the resonant circuit will be energized and the leakage current will move through the parasitic capacitances between the PV panel and the ground. There are numerous detriments related with the circling of leakage current in the framework, for example, expanded framework misfortunes, total harmonic distortion (THD) and genuine security and radiated interference problems issues. In this paper, a proposed topology is changed with an additional change to accomplish constant common mode voltage and eliminating leakage current. Besides, the modulation method is modified with the goal that reactive power generation can be accomplished. Three voltages' states must be created in the negative power region to fulfill the necessity of unipolar PWM. In any case, regular unipolar PWM can't produce a zero-voltage in the negative power region. The proposed modulation technique makes another present way in the negative power area where a zero-voltage state can be accomplished. To this end, the proposed modulation technique empowers the proposed inverter with reactive power generation with no progressions to the inverter structure Moreover, the proposed modulation achieved a constant common mode voltage that leads to eliminating leakage current. References 1. Li, W.; Gu, Y.; Luo, H.; Cui, W.; He, X.; Xia, C. Topology review and derivation methodology of single-phase transformerless photovoltaic inverters for leakage current suppression. IEEE Trans. Ind. Electron. 2015, 62, 4537– 4551 2. Guo, X.; He, R.; Jian, J.; Lu, Z.; Sun, X.; Guerrro, M. Leakage current elimination of four-leg inverter for transformerless three-phase PV systems. IEEE Trans. Power Electron. 2016, 31, 1841–1846. 3. Kerekes, T.; Teodorescu, R.; Rodríguez, P.; Vázquez, G.; Aldabas, E. A new high-efficiency single-phase transformerless PV inverter topology. IEEE Trans. Ind. Electron. 2011, 58, 184–191. 4. Dutta, S.; Debnath, D.; Chatterjee, K. A grid-connected single-phase transformerless inverter controlling two solar PV arrays operating under different atmospheric conditions. IEEE Trans. Ind. Electron. 2018, 65, 374–385. 5. Knabben, G.C.; Schmitz, L.; Coelho, R.F.; Martins, D.C.; Custódio, O.J.; de Medeiros, R.Z.; Bettiol, A.L. Transformerless micro-inverter for grid-connected photovoltaic systems. In Proceedings of the 52nd International Universities Power Engineering Conference (UPEC), Heraklion, Greece, 28–31 August 2017; pp. 1–6. 6. AZhao, T.; Bhavaraju, V.; Nirantare, P.; Xu, J. Evaluation of commercial scale transformerless solar inverter technology. In Proceedings of the 2015 IEEE Energy Conversion Congress and Exposition (ECCE), Montreal, QC, Canada, 20–24 September 2015; pp. 5342–5348. 7. Chen, B.; Lai, J.S. A family of single-phase transformerless inverters with asymmetric phase-legs. In Proceedings of the 2015 IEEE Applied Power Electronics Conference and Exposition (APEC), Charlotte, NC, USA, 15– 19 March 2015; pp. 2200–2205. 8. Lee, J.; Lee, K. New modulation techniques for a leakage current reduction and a neutral-point voltage balance in transformerless photovoltaic systems using a three-level inverter. IEEE Trans. Power Electron. 2014, 29, 1720– 1732. 9. Freddy, T.; Rahim, N.; Hew, W.; Che, H. Modulation techniques to reduce leakage current in three-phase transformerless H7 photovoltaic inverter. IEEE Trans. Ind. Electron. 2015, 62, 322–331. 10. Cha, W.; Kim, K.; Cho, Y.; Lee, S.; Kwon, B. Evaluation and analysis of transformerless photovoltaic inverter topology for efficiency improvement and reduction of leakage current. IET Power Electron. 2014, 8, 255–267.