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IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE)
e-ISSN: 2278-1676 Volume 5, Issue 1 (Mar. - Apr. 2013), PP 17-22
www.iosrjournals.org

      Analysis and Design of High Step-Up DC-DC Converter for
                       Photovoltaic Application
                                      D.Saravanan1, C.Govindaraju2
               1
                   PG scholar (PED), Dept of EEE, Government college of Engineering, Salem, India
               2
                   Assistant Professor, Dept of EEE, Government college of Engineering, Salem, India

Abstract: Now a day’s Photovoltaic power generation is essential for the developing countries to meet their electricity
demand. The power generated from the (PV) module has been connected to the panel through the proper channel of DC-DC
converter and DC-AC inverter. This paper proposes a new high step up DC-DC converter with floating active switch which
acts as a high state drive. This floating active switch isolates energy from the PV panel when the ac module is off. It also
regulates the DC interface between the DC-AC converters. The high step up voltage conversion ratio is achieved with
numerous turns ratio of a coupled inductor and appropriate duty ratios. The energy stored in the leakage inductor with the
help of magnetizing inductor of a coupled inductor is efficiently recycled to the load through the output capacitor. With an
input voltage of (Vin) 15V and 250V output voltage is obtained. An output power of 97W is also obtained from the designed
converter circuit. Its maximum full load efficiency is better than conventional convert model.
Keywords-AC Module, floating active switch, coupled inductor, high step up Voltage conversion ratio.

                                                  I.    Introduction
          Non-conventional energy is becoming increasingly important and prevalent in distribution systems.
The uses of alternative sources of energy like fuel and solar requires a large step up conversion of their low
voltage level to the required level of voltage. A PV array is a serial connection of numerous panels to obtain a
higher DC-link voltage.
          This dc voltage can be utilized for the main electricity through the DC-AC inverter [1],[30]. An ac
module is a micro inverter configured on the rear bezel of PV panel, this will immunizes against the yield loss
by shadow effect. The prior works have proposed the converter with single switch and fewer components to fit
the dimensions of the bezel of the ac module, but their efficiency levels are low. The power capacity range of
50W to 250W and the maximum power point voltage range is 12V to 40V which will give as input.
          In case if the voltage derived from the PV panel is lower, then it is difficult for the ac module to reach
the high efficiency. However employing a high step-up DC-DC converter in front of the inverter, which
improves the power conversion efficiency from one level to another level and it also provides the stable DC link
to the inverter.




         During the installation of PV panel generation system during day light, for safety reason the AC
module outputs zero voltage [4], [5]. While installing the ac module, the potential difference could pose hazards
to both the worker and the facilities. A floating active switch is designed to isolate the DC from the PV panel,
for when the AC module is off grid as well as non operating condition. This isolation ensures the operation of
the internal components without any residential energy being transferred to the terminals, which could be
unsafe. Use of active clamp technique not only recycles the leakage inductor energy but also it constraints the
voltage stress across the switch. This means the coupled inductor employed in voltage liter or voltage multiplier
technique in a circuit.
         The DC-DC converter requires a large step-up voltage conversion from low voltage obtained from the
panel low voltage to the required voltage level for the application. In the previous research on various converters
for high step-up applications has included analyses of the switched – capacitor type [6], [7], [8], [9], [29]; the
voltage-lift type [12]; the capacitor-diode voltage multiplier [13]; and the boost type integrated with coupled
inductor [10], [11], these converters by increasing turns ratio of coupled inductor obtain higher voltage gain than

                                                www.iosrjournals.org                                             17 | Page
Analysis and Design High Step-Up DC-DC Converter For Photovoltaic Application

conventional boost converter. Some converters successfully combined boost and flyback converters, some
converters, since various converter combinations are developed to carryout high step up voltage gain by using
the coupled-inductor technique [14]-[19], [27], [28]. The efficiency and voltage gain of the DC-DC boost
converter are constrained by either switches or the reverse recovery issues of the diodes.




                                  Fig.2. Circuit configuration of proposed converter
         The proposed converter is shown in figure.2. It consists of coupled inductor T1with floating active
switch S1. The primary winding N1 of a coupled inductor T1 is similar to the input inductor of the conventional
boost converter and capacitor C1 and diode D1 receive leakage inductor energy from N1. The secondary winding
N2 of Coupled inductor T1 is connected with another pair of capacitor C2 and diode D2, which are in series with
N1 in order to further enlarge the boost voltage. The diode D3 is a diode rectifier which is connected to the
output capacitor C3 and load.

                        II.    Operating Principles Of The Proposed Converter
 In order to analysis the circuit of the proposed converter, the following assumptions are made.
    1) All the components are ideal expect for the leakage inductance of coupled inductor T1.
    2) The on-state resistance RDS(on) and all the snubber capacitance of S1 are neglected.
    3) The capacitors C1˜ C3 are sufficiently large that the voltages across them are considered to be constant.
    4) The ESR of capacitors C1 ˜ C3 and the parasitic resistance of coupled inductor T1 are neglected.
    5) The turn ratio n of the coupled inductor T1 windings is equal to N2 /N1.




                      Fig.3. Polarity definitions of voltage and current in proposed converter.
The designed converter can be worked in two modes of operation, they are
                  i)         Continuous conduction mode
                  ii)        Discontinuous conduction mode.
                  iii)
2.1. Continuous Conduction Mode Operation (CCM)
         In the continuous conduction mode there are many transition intervals will takes place. Initially
whenever the supply is applied and made the switch S1 to turned ON, then the magnetizing inductor Lm
continuously charges capacitor C2 through coupled inductor T1. The current iLm is continuously decreases
because the source voltage Vin crosses the magnetizing inductor Lm and primary leakage inductor Lk1 during this
time the iD2 and ic2 are decreasing. Once the leakage current equals the decreasing i Lm, then the Vin is series
connected with N2, C1 and C2 to charges the output capacitor C3 and load R. The rectifier diode D3 is conducting
but diode D2 will not conduct. The iLm, iLk1, and id3 are increasing because the Vin is crossing Lk1, Lm and primary
winding N1. The discharging current |ic1| and |ic2| are increasing.
         When the switch S1 is made off, instantly the energy stored in the inductor Lk1 will flows through the
diode D1 to charge the capacitor C1 meanwhile the energy stored in the leakage inductor Lk2 is series connected
with C2 to charge the capacitor C3 and the load R. Lk1 and Lk2 are far smaller than Lm due to this the iLm is
increasing with energy receiving from iLk1 and iLk2 decreases rapidly to zero. Once iLk2 reaches the zero, the Lm

                                             www.iosrjournals.org                                         18 | Page
Analysis and Design High Step-Up DC-DC Converter For Photovoltaic Application

released its energy to C1 and C2. Simultaneously diodes D1 and D2 are conducting. The energy stored in the
capacitor C3 is constantly discharged to the load R. This process will continue for each turn on and turn off
Switch S1.




                                Fig.4. current wave forms of proposed converter at CCM

2.2. Dis-Continuous Conduction Mode Operation
          In the discontinuous mode there are many transition intervals will takes place. Initially when the switch
S1 is made ON with input source Vin. The inV0put source Vin is series connected with N2, C1 and C2 to charge
the output capacitor C3 and load R. Meanwhile Lm is also receiving energy from Vin. The iLm, iLk1 and iD3 are
increasing because the Vin is increasing Lk1, Lm and primary winding N1. The discharging current |ic1| and |ic2| are
increasing.
          When the switch S2 made off then instantly the energy stored in the leakage inductor Lk1 flows through
diode D1 to charge the capacitor C1. |ic1| and |ic2| increases and current through iD3 also increase. Then the current
ilk1and iD1 are continuously decreased because the leakage energy flows through D1 keeps charging a capacitor
C1. The energy stored in capacitor C3 is constantly discharged to the load R. These energy transfers results in
decrease in iLk1 and iLm but increases in iLk2. Lm only constantly releasing its energy to C2 and only Diode D2 is
conducting. The iLm is decreasing due to the magnetizing inductor energy flowing through the coupled inductor
T1 to secondary winding N2 and D2 continuous to charge capacitor C2. The energy stored in capacitor C2 is
continued to be discharge to the load. This process will continue for each turn on and turn off Switch S 1.




                                Fig.5. current waveforms of proposed converter at DCM



                                  III.     Analysis Of Proposed Converter

                                             www.iosrjournals.org                                           19 | Page
Analysis and Design High Step-Up DC-DC Converter For Photovoltaic Application

3.1. CCM Operation
          For the steady state analysis of converter the two switching instants are considered, S1 ON and OFF
instants.
During S1 ON
          VLm=Vin
          VN2=nVin
During S1 OFF
          VLm=-Vc1
          VN2=-Vc2.
The voltage across C1 and C2 are obtained as
          Vc1= 𝐷 1 − 𝐷 Vin
          Vc2= 𝑛𝐷 1 − 𝐷 Vin
The output voltage of the converter during switch S1 on is given by
          V0=Vin+VN2+VC2+VC1;
          V0=Vin+nVin+ 𝑛𝐷 1 − 𝐷 Vin+ 𝐷 1 − 𝐷 Vin
          MCCM=V0/Vin= 1 + 𝑛 1 − 𝐷

3.2. DCM Operation
          For the steady state analysis of the converter at two switching instants are considered, S 1 ON and OFF
instants.
During S1 ON
          VLm=Vin
          VN2=nVin
During S1 OFF
          VLm=-Vc1
          -VN2=Vc2
The voltage across C1 and C2 are
Vc1= 𝐷 𝐷𝐿 Vin
Vc2= 𝑛𝐷 𝐷𝐿 Vin
  𝑉0 𝑣𝑖𝑛 = (𝑛 + 1) (𝐷 + 𝐷𝐿) /DL

                                          IV.       Simulation Results
           The designed high step-up DC-DC converter consists of single active switch, which acts as high state
drive. It also contains the coupled inductor, 2diodes and 2capacitors used to step-up the voltage level and it also
recycles the leakage energy. One diode is used as rectifier diode.




Fig.6. output voltage and current waveform at CCM              Fig.7. output voltage and current waveform at DCM




                                             www.iosrjournals.org                                        20 | Page
Analysis and Design High Step-Up DC-DC Converter For Photovoltaic Application

                                                                       MODE              Parameter              Input     Output


                                                                                   Voltage(peak to peak)        15 v      203 V
                                                                        CCM
                                                                                   Current(Peak to Peak)       6.5 A       0.5 A
                                                                                   Power(Peak to Peak)          99W        97W


                                                                                   Voltage(peak to peak)        15 V      250 V
                                                                        DCM

                                                                                   Current(Peak to Peak)        1.5A       0.5 A

Fig.8. output and input power of proposed converter                       Table.1. Input and output from simulation




                                              Fig.9.Voltage stress across the switch

          These are the various results obtained from the proposed converter with the electrical specifications of
the circuit components with an applied voltage Vin=15V, fs=50kHz, and full load resistance of R=400Ω. The
major components with the values of C1=C2=47µF and C3=220µF, the switch used for the simulation is IGBT,
for recycling and rectifying diodes are used. The turns ration of the mutual inductor is assumed to be n=5, and
the duty ratio D is derived as 50%. The magnetizing inductor of the coupled inductor Lm >30.54 for the full load.
The maximum full load efficiency of the proposed converter at continuous conduction mode is given by 97%,
this will be better than conventional converter. The proposed converter shows the wide range of efficiency.

                                                      V.       Conclusion
          The energy of leakage inductor’s has been effectively recycled and the voltage stress across the switch
is constrained. The switch here acts as an high state drive and also it protects panel and installers from the
electrical hazardous while the switch is in off state. The switching action is performed well by floating active
switch during the system operation at all the condition with eliminating the residential energy effectively during
non operating condition. Without an extreme duty ratio and with an numerous turns ratio the proposed converter
achieved high voltage step-up gain. Thus improvements to the efficiency of the proposed converter have
achieved.

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D.Saravanan presently pursuing his M.E degree in Power Electronics and Drives at Government College of Engineering, salem, Tamil
Nadu. His area of interest is Power Electronic Converters.

Dr.C.Govindaraju presently working as Assistant Professor in Department of Electrical and Electronics Engineering, Government College
of Engineering, Salem, Tamil Nadu. His area of interest is Power Electronic Converters and Power Quality.




                                                     www.iosrjournals.org                                                      22 | Page

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C0511722

  • 1. IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE) e-ISSN: 2278-1676 Volume 5, Issue 1 (Mar. - Apr. 2013), PP 17-22 www.iosrjournals.org Analysis and Design of High Step-Up DC-DC Converter for Photovoltaic Application D.Saravanan1, C.Govindaraju2 1 PG scholar (PED), Dept of EEE, Government college of Engineering, Salem, India 2 Assistant Professor, Dept of EEE, Government college of Engineering, Salem, India Abstract: Now a day’s Photovoltaic power generation is essential for the developing countries to meet their electricity demand. The power generated from the (PV) module has been connected to the panel through the proper channel of DC-DC converter and DC-AC inverter. This paper proposes a new high step up DC-DC converter with floating active switch which acts as a high state drive. This floating active switch isolates energy from the PV panel when the ac module is off. It also regulates the DC interface between the DC-AC converters. The high step up voltage conversion ratio is achieved with numerous turns ratio of a coupled inductor and appropriate duty ratios. The energy stored in the leakage inductor with the help of magnetizing inductor of a coupled inductor is efficiently recycled to the load through the output capacitor. With an input voltage of (Vin) 15V and 250V output voltage is obtained. An output power of 97W is also obtained from the designed converter circuit. Its maximum full load efficiency is better than conventional convert model. Keywords-AC Module, floating active switch, coupled inductor, high step up Voltage conversion ratio. I. Introduction Non-conventional energy is becoming increasingly important and prevalent in distribution systems. The uses of alternative sources of energy like fuel and solar requires a large step up conversion of their low voltage level to the required level of voltage. A PV array is a serial connection of numerous panels to obtain a higher DC-link voltage. This dc voltage can be utilized for the main electricity through the DC-AC inverter [1],[30]. An ac module is a micro inverter configured on the rear bezel of PV panel, this will immunizes against the yield loss by shadow effect. The prior works have proposed the converter with single switch and fewer components to fit the dimensions of the bezel of the ac module, but their efficiency levels are low. The power capacity range of 50W to 250W and the maximum power point voltage range is 12V to 40V which will give as input. In case if the voltage derived from the PV panel is lower, then it is difficult for the ac module to reach the high efficiency. However employing a high step-up DC-DC converter in front of the inverter, which improves the power conversion efficiency from one level to another level and it also provides the stable DC link to the inverter. During the installation of PV panel generation system during day light, for safety reason the AC module outputs zero voltage [4], [5]. While installing the ac module, the potential difference could pose hazards to both the worker and the facilities. A floating active switch is designed to isolate the DC from the PV panel, for when the AC module is off grid as well as non operating condition. This isolation ensures the operation of the internal components without any residential energy being transferred to the terminals, which could be unsafe. Use of active clamp technique not only recycles the leakage inductor energy but also it constraints the voltage stress across the switch. This means the coupled inductor employed in voltage liter or voltage multiplier technique in a circuit. The DC-DC converter requires a large step-up voltage conversion from low voltage obtained from the panel low voltage to the required voltage level for the application. In the previous research on various converters for high step-up applications has included analyses of the switched – capacitor type [6], [7], [8], [9], [29]; the voltage-lift type [12]; the capacitor-diode voltage multiplier [13]; and the boost type integrated with coupled inductor [10], [11], these converters by increasing turns ratio of coupled inductor obtain higher voltage gain than www.iosrjournals.org 17 | Page
  • 2. Analysis and Design High Step-Up DC-DC Converter For Photovoltaic Application conventional boost converter. Some converters successfully combined boost and flyback converters, some converters, since various converter combinations are developed to carryout high step up voltage gain by using the coupled-inductor technique [14]-[19], [27], [28]. The efficiency and voltage gain of the DC-DC boost converter are constrained by either switches or the reverse recovery issues of the diodes. Fig.2. Circuit configuration of proposed converter The proposed converter is shown in figure.2. It consists of coupled inductor T1with floating active switch S1. The primary winding N1 of a coupled inductor T1 is similar to the input inductor of the conventional boost converter and capacitor C1 and diode D1 receive leakage inductor energy from N1. The secondary winding N2 of Coupled inductor T1 is connected with another pair of capacitor C2 and diode D2, which are in series with N1 in order to further enlarge the boost voltage. The diode D3 is a diode rectifier which is connected to the output capacitor C3 and load. II. Operating Principles Of The Proposed Converter In order to analysis the circuit of the proposed converter, the following assumptions are made. 1) All the components are ideal expect for the leakage inductance of coupled inductor T1. 2) The on-state resistance RDS(on) and all the snubber capacitance of S1 are neglected. 3) The capacitors C1˜ C3 are sufficiently large that the voltages across them are considered to be constant. 4) The ESR of capacitors C1 ˜ C3 and the parasitic resistance of coupled inductor T1 are neglected. 5) The turn ratio n of the coupled inductor T1 windings is equal to N2 /N1. Fig.3. Polarity definitions of voltage and current in proposed converter. The designed converter can be worked in two modes of operation, they are i) Continuous conduction mode ii) Discontinuous conduction mode. iii) 2.1. Continuous Conduction Mode Operation (CCM) In the continuous conduction mode there are many transition intervals will takes place. Initially whenever the supply is applied and made the switch S1 to turned ON, then the magnetizing inductor Lm continuously charges capacitor C2 through coupled inductor T1. The current iLm is continuously decreases because the source voltage Vin crosses the magnetizing inductor Lm and primary leakage inductor Lk1 during this time the iD2 and ic2 are decreasing. Once the leakage current equals the decreasing i Lm, then the Vin is series connected with N2, C1 and C2 to charges the output capacitor C3 and load R. The rectifier diode D3 is conducting but diode D2 will not conduct. The iLm, iLk1, and id3 are increasing because the Vin is crossing Lk1, Lm and primary winding N1. The discharging current |ic1| and |ic2| are increasing. When the switch S1 is made off, instantly the energy stored in the inductor Lk1 will flows through the diode D1 to charge the capacitor C1 meanwhile the energy stored in the leakage inductor Lk2 is series connected with C2 to charge the capacitor C3 and the load R. Lk1 and Lk2 are far smaller than Lm due to this the iLm is increasing with energy receiving from iLk1 and iLk2 decreases rapidly to zero. Once iLk2 reaches the zero, the Lm www.iosrjournals.org 18 | Page
  • 3. Analysis and Design High Step-Up DC-DC Converter For Photovoltaic Application released its energy to C1 and C2. Simultaneously diodes D1 and D2 are conducting. The energy stored in the capacitor C3 is constantly discharged to the load R. This process will continue for each turn on and turn off Switch S1. Fig.4. current wave forms of proposed converter at CCM 2.2. Dis-Continuous Conduction Mode Operation In the discontinuous mode there are many transition intervals will takes place. Initially when the switch S1 is made ON with input source Vin. The inV0put source Vin is series connected with N2, C1 and C2 to charge the output capacitor C3 and load R. Meanwhile Lm is also receiving energy from Vin. The iLm, iLk1 and iD3 are increasing because the Vin is increasing Lk1, Lm and primary winding N1. The discharging current |ic1| and |ic2| are increasing. When the switch S2 made off then instantly the energy stored in the leakage inductor Lk1 flows through diode D1 to charge the capacitor C1. |ic1| and |ic2| increases and current through iD3 also increase. Then the current ilk1and iD1 are continuously decreased because the leakage energy flows through D1 keeps charging a capacitor C1. The energy stored in capacitor C3 is constantly discharged to the load R. These energy transfers results in decrease in iLk1 and iLm but increases in iLk2. Lm only constantly releasing its energy to C2 and only Diode D2 is conducting. The iLm is decreasing due to the magnetizing inductor energy flowing through the coupled inductor T1 to secondary winding N2 and D2 continuous to charge capacitor C2. The energy stored in capacitor C2 is continued to be discharge to the load. This process will continue for each turn on and turn off Switch S 1. Fig.5. current waveforms of proposed converter at DCM III. Analysis Of Proposed Converter www.iosrjournals.org 19 | Page
  • 4. Analysis and Design High Step-Up DC-DC Converter For Photovoltaic Application 3.1. CCM Operation For the steady state analysis of converter the two switching instants are considered, S1 ON and OFF instants. During S1 ON VLm=Vin VN2=nVin During S1 OFF VLm=-Vc1 VN2=-Vc2. The voltage across C1 and C2 are obtained as Vc1= 𝐷 1 − 𝐷 Vin Vc2= 𝑛𝐷 1 − 𝐷 Vin The output voltage of the converter during switch S1 on is given by V0=Vin+VN2+VC2+VC1; V0=Vin+nVin+ 𝑛𝐷 1 − 𝐷 Vin+ 𝐷 1 − 𝐷 Vin MCCM=V0/Vin= 1 + 𝑛 1 − 𝐷 3.2. DCM Operation For the steady state analysis of the converter at two switching instants are considered, S 1 ON and OFF instants. During S1 ON VLm=Vin VN2=nVin During S1 OFF VLm=-Vc1 -VN2=Vc2 The voltage across C1 and C2 are Vc1= 𝐷 𝐷𝐿 Vin Vc2= 𝑛𝐷 𝐷𝐿 Vin 𝑉0 𝑣𝑖𝑛 = (𝑛 + 1) (𝐷 + 𝐷𝐿) /DL IV. Simulation Results The designed high step-up DC-DC converter consists of single active switch, which acts as high state drive. It also contains the coupled inductor, 2diodes and 2capacitors used to step-up the voltage level and it also recycles the leakage energy. One diode is used as rectifier diode. Fig.6. output voltage and current waveform at CCM Fig.7. output voltage and current waveform at DCM www.iosrjournals.org 20 | Page
  • 5. Analysis and Design High Step-Up DC-DC Converter For Photovoltaic Application MODE Parameter Input Output Voltage(peak to peak) 15 v 203 V CCM Current(Peak to Peak) 6.5 A 0.5 A Power(Peak to Peak) 99W 97W Voltage(peak to peak) 15 V 250 V DCM Current(Peak to Peak) 1.5A 0.5 A Fig.8. output and input power of proposed converter Table.1. Input and output from simulation Fig.9.Voltage stress across the switch These are the various results obtained from the proposed converter with the electrical specifications of the circuit components with an applied voltage Vin=15V, fs=50kHz, and full load resistance of R=400Ω. The major components with the values of C1=C2=47µF and C3=220µF, the switch used for the simulation is IGBT, for recycling and rectifying diodes are used. The turns ration of the mutual inductor is assumed to be n=5, and the duty ratio D is derived as 50%. The magnetizing inductor of the coupled inductor Lm >30.54 for the full load. The maximum full load efficiency of the proposed converter at continuous conduction mode is given by 97%, this will be better than conventional converter. The proposed converter shows the wide range of efficiency. V. Conclusion The energy of leakage inductor’s has been effectively recycled and the voltage stress across the switch is constrained. The switch here acts as an high state drive and also it protects panel and installers from the electrical hazardous while the switch is in off state. The switching action is performed well by floating active switch during the system operation at all the condition with eliminating the residential energy effectively during non operating condition. Without an extreme duty ratio and with an numerous turns ratio the proposed converter achieved high voltage step-up gain. Thus improvements to the efficiency of the proposed converter have achieved. References [1] T. Shimizu, K. Wada, and N. Nakamura, “Flyback-type single-phase utility interactive inverter with power pulsation decoupling on the dc input for an ac photovoltaic module system,” IEEE Trans. Power Electron., vol. 21, no. 5, pp. 1264–1272, Jan. 2006. [2] C. Rodriguez and G. A. J. Amaratunga, “Long-lifetime power inverter for photovoltaic ac modules,” IEEE Trans. Ind. Electron., vol. 55, no. 7, pp. 2593–2601, Jul. 2008. [3] S. B. Kjaer, J. K. Pedersen, and F. Blaabjerg, “A review of single-phase grid-connected inverters for photovoltaic modules,” IEEE Trans. Ind. Appl., vol. 41, no. 5, pp. 1292–1306, Sep./Oct. 2005. [4] J. J. Bzura, “The ac module: An overview and update on self-contained modular PV systems,” in Proc. IEEE Power Eng. Soc. Gen. Meeting, Jul. 2010, pp. 1–3. [5] B. Jablonska, A. L. Kooijman-van Dijk, H. F. Kaan, M. van Leeuwen, G. T. M. de Boer, and H. H. C. de Moor, “PV-PRIVE project at ECN, five years of experience with small-scale ac module PV systems,” in Proc. 20th Eur. Photovoltaic Solar Energy Conf., Barcelona, Spain, Jun. 2005,pp. 2728–2731 [6] T. Umeno, K. Takahashi, F. Ueno, T. Inoue, and I. Oota, “A new approach to low ripple-noise switching converters on the basis of switched- capacitor converters,” in Proc. IEEE Int. Symp. Circuits Syst., Jun. 1991, pp. 1077– 1080. [7] B. Axelrod, Y. Berkovich, and A. Ioinovici, “Switched- capacitor/ switched-inductor structures for getting transformerless hybrid www.iosrjournals.org 21 | Page
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