Modulation Method For A Dual-Buck Inverter Which Minimizes Zero Crossing Distortion And Circulating Current
IRJPEE
Modulation Method For A Dual-Buck Inverter Which
Minimizes Zero Crossing Distortion And Circulating
Current
1Doddabasappa N* and 2Sanjay Lakshminarayan
1School of EEE, Reva University, Bangalore, India
2School of EEE, Ramaiah Institute of Technology, Bangalore, India
This paper presents a low cost dual buck inverter with high efficiency without any reverse
recovery issues for the MOSFET. It is ideal for super junction Power MOSFET application, when
used for bipolar PWM in case of PV applications, the duty cycle will be around 50% at zero
crossing and there will be distortion of current. As low cost, high reliability, high efficiency and
low output distortion of alternating current are very crucial in the design of inverters. This paper
proposes a novel method for modulation of bipolar PWM, which will minimize the current
distortion at zero crossing and achieves low circulating current. The simulation results validate
the method.
Keywords: Inverter, High Efficiency, Zero Crossing Distortion.
INTRODUCTION
With the advances in the renewable sector, there is a large
potential for renewable sources like wind solar, PV etc.
There is a great growth in PV sector with the intervention of
government policies, subsidies for using PV for generation
of electricity. There are many products using PV, one of
them is the topology without a transformer less to eliminate
the 50Hz transformer to achieve high efficiency and low
cost. The inverters without a transformer are low cost as
they use silicon device and have high efficiency as they
have less switches and use super junction Power
MOSFETs
The efficiency of the inverter can be improved by many
ways, such as by designing a new inverter circuit, by using
advanced devices like super junction power MOSFET, SiC
devices. These devices are widely used in power factor
correction circuits, battery chargers etc because of their low
conduction and switching losses. In this paper a dual buck
inverter without reverse recovery problem for MOSFETs is
introduced and it is also useful for the application in super
junction power MOSFET. (S. K. Chowdhury and M. A.
Razzak, 2014; Xiangdong Zong, 2011; Frede Blaabjerg et
al., 2004; Zhilei Yao et al., 2009; Soeren Baekhoej Kjaer et
al., 2005; Tamas Kerekes et al., 2009).
In case of dual buck PV inverter, bipolar PWM method is
used. This is because of the leakage current in transformer
less PV inverters. This paper is organized as (A)-
Introduction of high reliability and efficiency dual-buck full
bridge transformer less inverter. This uses a conventional
bipolar PWM method (CB-PWM).
(B)-Introduces an improved bipolar PWM with distortion at
zero crossing current, but solves the inverter circulating
current and also the leakage current of the PV panel. (IB-
PWM) (C)-Takes care of the distortion at zero crossing
current, by introducing a novel nonlinear bipolar PWM. (D)-
All the inverter topologies are analysed and compared
based on the THD values of each topology.
*Corresponding author: Doddabasappa N, School of
EEE, Reva University, Bangalore, India. Email:
ndg.eee28@gmail.com
International Research Journal of Power and Energy Engineering
Vol. 3(2), pp. 061-066, November, 2017. © www.premierpublishers.org, ISSN: 3254-1213x
Conference Paper
Modulation Method For A Dual-Buck Inverter Which Minimizes Zero Crossing Distortion And Circulating Current
Doddabasappa and Lakshminarayan 062
DUAL BUCK INVERTER
The Fig.1 shows a Dual-buck full-bridge PV inverter. It is
very reliable as it will eliminate the reverse recovery
problems, dead time and shoot-through. This dual buck full
bridge inverter is proposed so that the properties and
advantages of power MOSFETs can be utilized. The size
of the passive components, resistive nature of the
conduction voltage drops, lower switching losses, instant
switching speed are all the benefits of power MOSFETs. As
seen from Fig.1, it has unidirectional inductor current and
works for positive and negative half cycle current. But it has
a drawback that four separate inductors are required. (B. F.
Chen, 2012; Henry Benedict Massawe et al., 2013; Zhilei
Yao et al., 2009; Ahmed Abdalrahman et al., 2012; S. K.
Chowdhury and M. A. Razzak, 2013; Marco Liserre et al.,
2005).
Fig.1: High efficiency transformer-less dual-buck full
bridge PV inverter
SIMULATION AND RESULTS
A-TRADITIONAL BIPOLAR PWM METHOD
The block diagram of the conventional bipolar PWM (CB-
PWM) is shown in Fig.2.In order that the proposed dual
buck full bridge inverter must adopt to the CB-PWM for
applications of PV,the dual to common mode voltage from
CB-PWM is always fixed to Vdc/2.
Fig. 2: Conventional bipolar PWM (CB-PWM) method
Fig. 3(a) and 3(b) show the operating mode and equivalent
circuit for the CB-PWM when switches S1 and S4 are
turned ON and when switches S2 and S3 are turned ON
respectively.
When S1 and S4 are conducting, freewheeling current of
L2 and L3 would circle back to DC bus through D1 and D4.
Similarly, When S2 and S3 are conducting, freewheeling
current of L1 and L4 flow back to DC bus through D2 and
D3, it leads to a circulating current and decrease efficiency.
The simulation results for dual buck inverter using CB-
PWM are shown in Fig.4 without filter. The highlighted
circle in the waveform indicates the presence of circulating
current in the negative half cycle.
Fig. 3(a): Operating mode and equivalent circuit during S1
and S4 turn on.
Fig. 3(b): Operating mode and equivalent circuit during S2
and S3 turn on.
Modulation Method For A Dual-Buck Inverter Which Minimizes Zero Crossing Distortion And Circulating Current
Int. Res. J. Power Energy Engin. 063
Fig. 4: Simulation results with CB-PWM method without
Filter
B. IMPROVED BIPOLAR PWM METHOD
The improved bipolar PWM (IB-PWM) is shown in
Fig.5.Here the current polarity is taken into consideration
(Frede Blaabjerg et al., 2004; Zhilei Yao et al., 2005;
Soeren Baekhoej Kjaer et al., 2005) and each inductor
operates under both positive and negative half cycle
currents. Hence PWM is fed to the switches considering the
polarity.
Fig. 5: Improved bipolar PWM (IB-PWM) method
The Fig.6 (a),6 (b), 6(c), 6 (d) all show the operating model
and equivalent circuits for the IB-PWM .During the positive
half cycle, the switches S1 and S4 will be switching and the
freewheeling current will pass through D2 and D3. During
the negative half cycle, the switches S2 and S3 will be
switching and the freewheeling current will pass through D1
and D4.
The simulation results for IB-PWM are shown in Fig.7.We
see that the circulating current is eliminated and switching
power loss is also reduced. But, the current in zero-
crossing region would have an obvious distortion, which
originates from the discontinuous-conduction mode (DCM)
condition.
Fig.6 (a) Charging Interval during Positive Half Cycle
Fig.6 (b) Freewheeling Interval during Positive Half Cycle
Fig.6 (c) Charging Interval during Negative Half Cycle
Fig.6 (d) Freewheeling Interval during Negative Half
Cycle
Modulation Method For A Dual-Buck Inverter Which Minimizes Zero Crossing Distortion And Circulating Current
Doddabasappa and Lakshminarayan 064
Fig. 7: Simulation results with IB-PWM method
The Volt-second balance equation on inductor is,
When inductor current is under continuous-conduction
mode (CCM) condition, TB-PWM method and IB-PWM
method have same Volt-second balance equation, which is
[5],
(2)
However, during DCM condition at unity PF operation, The
Volt-second equation for IB-PWM method will be
So, if Vref = 0, switching on & off time would be:
(4)
And ripple current & average current would be:
(5)
Assume Vref & output current Iac are in the phase, when
current is positive and S1-S4 are conducting, the
relationship between the duty cycle (D) and Vref is:
When Vre = 0, D will be 50%, it will let current in boundary
mode [ibm] which depends on current ripple.
When current is negative and S2-S3 are conducting, the
relationship between the duty cycle (D) and Vref is:
When Vref = 0, D will be 50%, it will let current in boundary
mode [-ibm ] which depends on the current ripple.
The current changes from +ibm and –ibm at the zero
crossing over of the current, the duty cycle will be 50%.
Due to the distortions at the zero crossing over the THD of
the output AC current is 29.66%. These simulation results
are shown in Fig.7.
C. NOVEL PWM MODULATION METHOD FOR
CURRENT ZERO-CROSSING
The proposed method combines the advantages of both
CB-PWM without distortion and IB-PWM with high
efficiency. The Fig.8 shows the proposed method, which
uses the unipolar method.
Fig. 8: Proposed Novel PWM Modulation Method in Dual
Buck Inverter
In this paper a new modulation method is proposed to
provide a duty cycle of 0% at zero cross over. This in turn
makes the inductor current to enter DCM instead of
boundary mode.
Though the PWM gating pattern is bipolar, but this
proposed modulation method will adopt a unipolar method.
This method makes the duty cycle zero at the point of zero
cross over, which improves the distortion in current at zero
cross over.
Modulation Method For A Dual-Buck Inverter Which Minimizes Zero Crossing Distortion And Circulating Current
Int. Res. J. Power Energy Engin. 065
Fig. 9: Simulation Results with Proposed Bipolar PWM
Method in Dual Buck Inverter
THD ANALYSIS AND COMPARISON FOR ALL THE
INVERTER TOPOLOGIES
THD calculations can be obtained from SIMULINK. The
switching pattern that is used in this project for all the
inverters topologies are harmonic elimination method.
Where,
V1= Fundamental Voltage magnitude
V2 = Magnitude of 2nd Harmonic
V3 = Magnitude of 3rd Harmonic
V4 = Magnitude of 4th Harmonic
Vn = Magnitude of nth Harmonic
TABLE 1: Total Harmonic Distortion Analysis
METHODS TOTAL HARMONIC DISTORTION
IB-PWM 29.66%
NOVEL-PWM 3.77%
Fig.10: THD comparison between Novel PWM method
And IB-PWM method
CONCLUSION
Nowadays the inverters are without transformers with high
efficiency and less cost. This paper introduces a dual buck
inverter to reduce the distortion and circulation current at
zero cross over.
Detail discussion and analysis point out:
• In case of Traditional bipolar PWM technique, there
will be circulating current and current distortion will not
be present.
• With the Improved bipolar PWM technique, there will
be no circulating current, but significant current
distortion will be present.
REFERENCES
Ahmed Abdalrahman, Abdalhalim Zekry, and Ahmed
Alshazly (2012). Simulation and Implementation of
Grid-connected Inverters”, International Journal of
ComputerApplications (0975 – 8887) Volume 60– No.4.
Chen BF, Sun PW, Liu C, Chen C-L., Lai J.-S., and Yu W.
(2012). High efficiency transformerless photovoltaic
inverter with wide-range power factor capability. Proc.
of IEEE Applied Power Electronics Conference and
Exposition, Orlando, FL.
Chowdhury SK and Razzak MA. (2013). A Combined π-
and T-type Immittance Converter for Constant Current
Applications. Proceedings of the IEEE International
Conference on Informatics, Electronics & Vision
(ICIEV), Dhaka Bangladesh.
Chowdhury SK and Razzak MA. (2014). Design of a
Transformer-less Grid-Tie Inverter Using Dual-Stage
Buck and Boost Converters. International Journal Of
Renewable Energy Research., Vol.4, No.1.
Frede Blaabjerg, Zhe Chen and Soeren Baekhoej Kjaer
(2004). Power Electronics as Efficient Interface in
Dispersed Power Generation Systems. IEEE
Transactions On Power Electronics, VOL. 19, NO. 5.
Henry Benedict Massawe, Lars Einar Norum, Elkraft
(2013). Grid Connected Photovoltaic Systems with
SmartGrid functionality. Master of Science in Electric
Power Engineering Department of Electric Power
Engineering. Norwegian University of Science and
Technology.
Marco Liserre, Frede Blaabjerg, Steffan Hansen (2005).
Design and Control of an LCL Filter-Based Three-
Phase Active Rectifier. IEEE Transactions on Industry
Applications, pp.VOL. 41, NO. 5.
Mohan N., Undeland T. M., and Robbins W. (2006). Power
Electronics, 3rd Ed.,Denvers, MA: John Wiley & Sons,
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Rashid MH. (2007). Power Electronics, Circuits, Devices,
and Applications, 3rd Ed. New Delhi: Prentice-Hall of
India Private Limited. pp.253-256.
Soeren Baekhoej Kjaer, John K. Pedersen and Frede
Blaabjerg (2005). A Review of Single-Phase Grid-
Connected Inverters for Photovoltaic Modules. IEEE
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Modulation Method For A Dual-Buck Inverter Which Minimizes Zero Crossing Distortion And Circulating Current
Doddabasappa and Lakshminarayan 066
Tamas Kerekes , Remus Teodorescu , Marco Liserre
Christian Klumpner and Mark Sumner (2009).
Evaluation of Three-Phase Transformerless
Photovoltaic Inverter Topologies. IEEE Transactions
On Industry Applications, VOL.24, NO.9.
Texas Instruments Incorporated (2012). Basic Calculation
of a Buck Converter's Power Stage. SLVA477A–
December 2011–Revised August 2012, Copyright ©
2011–2012.
Xiangdong Zong (2011). A Single Phase Grid Connected
DC/AC Inverter with Reactive Power Control for
Residential PV Application. A thesis submitted in
conformity with the requirements for the degree of
Masters of Applied Science, Graduate Department of
Electrical and Computer Engineering,University of
Toronto.
Zhilei Yao, Lan Xiao and Yangguang Yan (2009). Dual-
Buck Full-Bridge Inverter With Hysteresis Current
Control” IEEE Transactions On Industrial Electronics,
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Zhilei Yao, Lan Xiao, Member IEEE, and Yangguang Yan
(2009). Control Strategy for Series and Parallel Output
Dual-Buck Half Bridge Inverters Based on DSP Control.
IEEE Transactions On Industry Applications,VOL. 24,
NO. 2.
Accepted 23 October, 2017
Citation: Doddabasappa N and Lakshminarayan S
(2017). Study H and Estimation of Energy Transfer to the
Active DC-Link Capacitor Due to Harmonic Current.
International Research Journal of Power and Energy
Engineering, 3(2): 061-066.
Copyright: © 2017. Doddabasappa and Lakshminarayan.
This is an open-access article distributed under the terms
of the Creative Commons Attribution License, which
permits unrestricted use, distribution, and reproduction in
any medium, provided the original author and source are
cited.

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Modulation Method For A Dual-Buck Inverter Which Minimizes Zero Crossing Distortion And Circulating Current

  • 1. Modulation Method For A Dual-Buck Inverter Which Minimizes Zero Crossing Distortion And Circulating Current IRJPEE Modulation Method For A Dual-Buck Inverter Which Minimizes Zero Crossing Distortion And Circulating Current 1Doddabasappa N* and 2Sanjay Lakshminarayan 1School of EEE, Reva University, Bangalore, India 2School of EEE, Ramaiah Institute of Technology, Bangalore, India This paper presents a low cost dual buck inverter with high efficiency without any reverse recovery issues for the MOSFET. It is ideal for super junction Power MOSFET application, when used for bipolar PWM in case of PV applications, the duty cycle will be around 50% at zero crossing and there will be distortion of current. As low cost, high reliability, high efficiency and low output distortion of alternating current are very crucial in the design of inverters. This paper proposes a novel method for modulation of bipolar PWM, which will minimize the current distortion at zero crossing and achieves low circulating current. The simulation results validate the method. Keywords: Inverter, High Efficiency, Zero Crossing Distortion. INTRODUCTION With the advances in the renewable sector, there is a large potential for renewable sources like wind solar, PV etc. There is a great growth in PV sector with the intervention of government policies, subsidies for using PV for generation of electricity. There are many products using PV, one of them is the topology without a transformer less to eliminate the 50Hz transformer to achieve high efficiency and low cost. The inverters without a transformer are low cost as they use silicon device and have high efficiency as they have less switches and use super junction Power MOSFETs The efficiency of the inverter can be improved by many ways, such as by designing a new inverter circuit, by using advanced devices like super junction power MOSFET, SiC devices. These devices are widely used in power factor correction circuits, battery chargers etc because of their low conduction and switching losses. In this paper a dual buck inverter without reverse recovery problem for MOSFETs is introduced and it is also useful for the application in super junction power MOSFET. (S. K. Chowdhury and M. A. Razzak, 2014; Xiangdong Zong, 2011; Frede Blaabjerg et al., 2004; Zhilei Yao et al., 2009; Soeren Baekhoej Kjaer et al., 2005; Tamas Kerekes et al., 2009). In case of dual buck PV inverter, bipolar PWM method is used. This is because of the leakage current in transformer less PV inverters. This paper is organized as (A)- Introduction of high reliability and efficiency dual-buck full bridge transformer less inverter. This uses a conventional bipolar PWM method (CB-PWM). (B)-Introduces an improved bipolar PWM with distortion at zero crossing current, but solves the inverter circulating current and also the leakage current of the PV panel. (IB- PWM) (C)-Takes care of the distortion at zero crossing current, by introducing a novel nonlinear bipolar PWM. (D)- All the inverter topologies are analysed and compared based on the THD values of each topology. *Corresponding author: Doddabasappa N, School of EEE, Reva University, Bangalore, India. Email: ndg.eee28@gmail.com International Research Journal of Power and Energy Engineering Vol. 3(2), pp. 061-066, November, 2017. © www.premierpublishers.org, ISSN: 3254-1213x Conference Paper
  • 2. Modulation Method For A Dual-Buck Inverter Which Minimizes Zero Crossing Distortion And Circulating Current Doddabasappa and Lakshminarayan 062 DUAL BUCK INVERTER The Fig.1 shows a Dual-buck full-bridge PV inverter. It is very reliable as it will eliminate the reverse recovery problems, dead time and shoot-through. This dual buck full bridge inverter is proposed so that the properties and advantages of power MOSFETs can be utilized. The size of the passive components, resistive nature of the conduction voltage drops, lower switching losses, instant switching speed are all the benefits of power MOSFETs. As seen from Fig.1, it has unidirectional inductor current and works for positive and negative half cycle current. But it has a drawback that four separate inductors are required. (B. F. Chen, 2012; Henry Benedict Massawe et al., 2013; Zhilei Yao et al., 2009; Ahmed Abdalrahman et al., 2012; S. K. Chowdhury and M. A. Razzak, 2013; Marco Liserre et al., 2005). Fig.1: High efficiency transformer-less dual-buck full bridge PV inverter SIMULATION AND RESULTS A-TRADITIONAL BIPOLAR PWM METHOD The block diagram of the conventional bipolar PWM (CB- PWM) is shown in Fig.2.In order that the proposed dual buck full bridge inverter must adopt to the CB-PWM for applications of PV,the dual to common mode voltage from CB-PWM is always fixed to Vdc/2. Fig. 2: Conventional bipolar PWM (CB-PWM) method Fig. 3(a) and 3(b) show the operating mode and equivalent circuit for the CB-PWM when switches S1 and S4 are turned ON and when switches S2 and S3 are turned ON respectively. When S1 and S4 are conducting, freewheeling current of L2 and L3 would circle back to DC bus through D1 and D4. Similarly, When S2 and S3 are conducting, freewheeling current of L1 and L4 flow back to DC bus through D2 and D3, it leads to a circulating current and decrease efficiency. The simulation results for dual buck inverter using CB- PWM are shown in Fig.4 without filter. The highlighted circle in the waveform indicates the presence of circulating current in the negative half cycle. Fig. 3(a): Operating mode and equivalent circuit during S1 and S4 turn on. Fig. 3(b): Operating mode and equivalent circuit during S2 and S3 turn on.
  • 3. Modulation Method For A Dual-Buck Inverter Which Minimizes Zero Crossing Distortion And Circulating Current Int. Res. J. Power Energy Engin. 063 Fig. 4: Simulation results with CB-PWM method without Filter B. IMPROVED BIPOLAR PWM METHOD The improved bipolar PWM (IB-PWM) is shown in Fig.5.Here the current polarity is taken into consideration (Frede Blaabjerg et al., 2004; Zhilei Yao et al., 2005; Soeren Baekhoej Kjaer et al., 2005) and each inductor operates under both positive and negative half cycle currents. Hence PWM is fed to the switches considering the polarity. Fig. 5: Improved bipolar PWM (IB-PWM) method The Fig.6 (a),6 (b), 6(c), 6 (d) all show the operating model and equivalent circuits for the IB-PWM .During the positive half cycle, the switches S1 and S4 will be switching and the freewheeling current will pass through D2 and D3. During the negative half cycle, the switches S2 and S3 will be switching and the freewheeling current will pass through D1 and D4. The simulation results for IB-PWM are shown in Fig.7.We see that the circulating current is eliminated and switching power loss is also reduced. But, the current in zero- crossing region would have an obvious distortion, which originates from the discontinuous-conduction mode (DCM) condition. Fig.6 (a) Charging Interval during Positive Half Cycle Fig.6 (b) Freewheeling Interval during Positive Half Cycle Fig.6 (c) Charging Interval during Negative Half Cycle Fig.6 (d) Freewheeling Interval during Negative Half Cycle
  • 4. Modulation Method For A Dual-Buck Inverter Which Minimizes Zero Crossing Distortion And Circulating Current Doddabasappa and Lakshminarayan 064 Fig. 7: Simulation results with IB-PWM method The Volt-second balance equation on inductor is, When inductor current is under continuous-conduction mode (CCM) condition, TB-PWM method and IB-PWM method have same Volt-second balance equation, which is [5], (2) However, during DCM condition at unity PF operation, The Volt-second equation for IB-PWM method will be So, if Vref = 0, switching on & off time would be: (4) And ripple current & average current would be: (5) Assume Vref & output current Iac are in the phase, when current is positive and S1-S4 are conducting, the relationship between the duty cycle (D) and Vref is: When Vre = 0, D will be 50%, it will let current in boundary mode [ibm] which depends on current ripple. When current is negative and S2-S3 are conducting, the relationship between the duty cycle (D) and Vref is: When Vref = 0, D will be 50%, it will let current in boundary mode [-ibm ] which depends on the current ripple. The current changes from +ibm and –ibm at the zero crossing over of the current, the duty cycle will be 50%. Due to the distortions at the zero crossing over the THD of the output AC current is 29.66%. These simulation results are shown in Fig.7. C. NOVEL PWM MODULATION METHOD FOR CURRENT ZERO-CROSSING The proposed method combines the advantages of both CB-PWM without distortion and IB-PWM with high efficiency. The Fig.8 shows the proposed method, which uses the unipolar method. Fig. 8: Proposed Novel PWM Modulation Method in Dual Buck Inverter In this paper a new modulation method is proposed to provide a duty cycle of 0% at zero cross over. This in turn makes the inductor current to enter DCM instead of boundary mode. Though the PWM gating pattern is bipolar, but this proposed modulation method will adopt a unipolar method. This method makes the duty cycle zero at the point of zero cross over, which improves the distortion in current at zero cross over.
  • 5. Modulation Method For A Dual-Buck Inverter Which Minimizes Zero Crossing Distortion And Circulating Current Int. Res. J. Power Energy Engin. 065 Fig. 9: Simulation Results with Proposed Bipolar PWM Method in Dual Buck Inverter THD ANALYSIS AND COMPARISON FOR ALL THE INVERTER TOPOLOGIES THD calculations can be obtained from SIMULINK. The switching pattern that is used in this project for all the inverters topologies are harmonic elimination method. Where, V1= Fundamental Voltage magnitude V2 = Magnitude of 2nd Harmonic V3 = Magnitude of 3rd Harmonic V4 = Magnitude of 4th Harmonic Vn = Magnitude of nth Harmonic TABLE 1: Total Harmonic Distortion Analysis METHODS TOTAL HARMONIC DISTORTION IB-PWM 29.66% NOVEL-PWM 3.77% Fig.10: THD comparison between Novel PWM method And IB-PWM method CONCLUSION Nowadays the inverters are without transformers with high efficiency and less cost. This paper introduces a dual buck inverter to reduce the distortion and circulation current at zero cross over. Detail discussion and analysis point out: • In case of Traditional bipolar PWM technique, there will be circulating current and current distortion will not be present. • With the Improved bipolar PWM technique, there will be no circulating current, but significant current distortion will be present. REFERENCES Ahmed Abdalrahman, Abdalhalim Zekry, and Ahmed Alshazly (2012). Simulation and Implementation of Grid-connected Inverters”, International Journal of ComputerApplications (0975 – 8887) Volume 60– No.4. Chen BF, Sun PW, Liu C, Chen C-L., Lai J.-S., and Yu W. (2012). High efficiency transformerless photovoltaic inverter with wide-range power factor capability. Proc. of IEEE Applied Power Electronics Conference and Exposition, Orlando, FL. Chowdhury SK and Razzak MA. (2013). A Combined π- and T-type Immittance Converter for Constant Current Applications. Proceedings of the IEEE International Conference on Informatics, Electronics & Vision (ICIEV), Dhaka Bangladesh. Chowdhury SK and Razzak MA. (2014). Design of a Transformer-less Grid-Tie Inverter Using Dual-Stage Buck and Boost Converters. International Journal Of Renewable Energy Research., Vol.4, No.1. Frede Blaabjerg, Zhe Chen and Soeren Baekhoej Kjaer (2004). Power Electronics as Efficient Interface in Dispersed Power Generation Systems. IEEE Transactions On Power Electronics, VOL. 19, NO. 5. Henry Benedict Massawe, Lars Einar Norum, Elkraft (2013). Grid Connected Photovoltaic Systems with SmartGrid functionality. Master of Science in Electric Power Engineering Department of Electric Power Engineering. Norwegian University of Science and Technology. Marco Liserre, Frede Blaabjerg, Steffan Hansen (2005). Design and Control of an LCL Filter-Based Three- Phase Active Rectifier. IEEE Transactions on Industry Applications, pp.VOL. 41, NO. 5. Mohan N., Undeland T. M., and Robbins W. (2006). Power Electronics, 3rd Ed.,Denvers, MA: John Wiley & Sons, Inc., pp. 211-214. Rashid MH. (2007). Power Electronics, Circuits, Devices, and Applications, 3rd Ed. New Delhi: Prentice-Hall of India Private Limited. pp.253-256. Soeren Baekhoej Kjaer, John K. Pedersen and Frede Blaabjerg (2005). A Review of Single-Phase Grid- Connected Inverters for Photovoltaic Modules. IEEE Transactions On Industry Applications, VOL. 41, NO. 5.
  • 6. Modulation Method For A Dual-Buck Inverter Which Minimizes Zero Crossing Distortion And Circulating Current Doddabasappa and Lakshminarayan 066 Tamas Kerekes , Remus Teodorescu , Marco Liserre Christian Klumpner and Mark Sumner (2009). Evaluation of Three-Phase Transformerless Photovoltaic Inverter Topologies. IEEE Transactions On Industry Applications, VOL.24, NO.9. Texas Instruments Incorporated (2012). Basic Calculation of a Buck Converter's Power Stage. SLVA477A– December 2011–Revised August 2012, Copyright © 2011–2012. Xiangdong Zong (2011). A Single Phase Grid Connected DC/AC Inverter with Reactive Power Control for Residential PV Application. A thesis submitted in conformity with the requirements for the degree of Masters of Applied Science, Graduate Department of Electrical and Computer Engineering,University of Toronto. Zhilei Yao, Lan Xiao and Yangguang Yan (2009). Dual- Buck Full-Bridge Inverter With Hysteresis Current Control” IEEE Transactions On Industrial Electronics, VOL. 56, NO. 8. Zhilei Yao, Lan Xiao, Member IEEE, and Yangguang Yan (2009). Control Strategy for Series and Parallel Output Dual-Buck Half Bridge Inverters Based on DSP Control. IEEE Transactions On Industry Applications,VOL. 24, NO. 2. Accepted 23 October, 2017 Citation: Doddabasappa N and Lakshminarayan S (2017). Study H and Estimation of Energy Transfer to the Active DC-Link Capacitor Due to Harmonic Current. International Research Journal of Power and Energy Engineering, 3(2): 061-066. Copyright: © 2017. Doddabasappa and Lakshminarayan. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.