International Journal on Advanced Electrical and Computer Engineering (IJAECE) ______________________________________________________________________________________________ A Modified Sepic Converter With High Static Gain For Renewable Applications 1 M.Muthukumaran, 2S.Sankarkumar, 3M.Sureshkumar, 4M.Murugapandi 1,2,3,4 Department of Electrical and Electronics Engineering, Sree Sowdambika College of Engineering, Aruppukottai. 1 Email: Gyanmuthu89@gmail.com, 2smsankar.kumar@gmail.com, 3sureshgym1@gmail.com Abstract – A high step-up DC-DC converter based on the modified SEPIC converter is presented in this paper. The proposed topology presents low switch voltage and high efficiency for low input voltage and high output voltage applications. Two alternatives with and without magnetic coupling are analyzed. The magnetic coupling allows to increase the static gain with a reduced switch voltage. The theoretical analysis and experimental results are presented. Two experimental prototypes were developed with an input voltage equal to 12 V and an output power equal to 100 W. The efficiency obtained with the prototype without magnetic coupling was equal to 91.2% with an output voltage equal to 120 V and nominal output power. Efficiency equal to 95% was obtained with the prototype with magnetic coupling operating with an output voltage equal to 240 V and nominal output power. Keywords – DC-DC converter, high static gain and renewable applications. I. INTRODUCTION High static gain DC-DC converters are nowadays an important research focus due to the crescent demand of this technology for some applications as renewable energy sources, fuel-cells, embedded systems, portable electronic equipments, uninterrupted power supply, battery powered systems and others applications supplied by low DC voltage energy sources [1]-[5]. High step -up ratio is necessary when some loads operate with and DC or AC peak voltage higher than ten times the input source voltage. When a high step-up ratio is necessary, the usual solution is the use of isolated DC-DC converters. However, the isolated solution presents some problems as the efficiency reduction due to the power transformer losses and intrinsic parameters as leakage inductance. The power transformer also presents an important contribution in the converter volume. The power converters used with renewable energy sources must present a very high efficiency due to the high cost of the energy source, as photovoltaic module or fuel-cells. Also in embedded systems and portable equipments the converter power density is an important design parameter. Therefore, the solutions that allow the elimination of the power transformer can improve the efficiency and power density of the power conversion system. However, the classical non-isolated DC-DC converters present a limited step-up gain (q=Vo/V i). The boost converter is the classical non isolated step-up DCDC converter and normally can operate with and adequate static and dynamic performance with an output voltage around five times the input voltage with a dutycycle equal to D=0.8. A static gain around to q=5 is a limited value for the applications considered in this work and this range is considered as a standard staticgain in this paper. A converter operating with static gain equal or higher q=10 is considered a high-static gain solution and an operation with static gain higher than q=20 is considered a very high static gain solution in this paper. Many techniques were developed in order to increase the static gain of the non-isolated structure for the implementation of high efficiency and high power density solutions. A review of the main techniques proposed is presented in [1]. The main characteristics desired in the applications considered are a static gain equal or higher than ten times, low switch voltage, low input current ripple, reduced weight and volume and high efficiency. New alternatives for high and very high step-up ratio applications are proposed and are based on a new DC-DC non-isolated topology called Modified SEPIC converter that presents a static gain close to the double of the classical boost converter. The proposed converter allows the inclusion of an auxiliary winding for the implementation of the magnetic coupling technique. II. PROPOSED CONVERTERS A. Power Circuit without Magnetic Coupling The power circuit of the classical SEPIC converter is presented in Fig.1. The step-up and step-down static gain of the SEPIC converter is an interesting operation characteristic for a wide input voltage range application. However the switch voltage is equal the sum of the input and output voltage. The modification of the SEPIC converter is accomplished with the inclusion of the diode DM and the capacitor CM, as presented in Fig.2. Many operational characteristics of the classical SEPIC converter are changed with the proposed modification. Fig. 1. Classical SEPIC converter. _______________________________________________________________________________________________ ISSN(Online): 2349-9338, ISSN(Print): 2349-932X Volume -2, Issue -1, 2015 16 International Journal on Advanced Electrical and Computer Engineering (IJAECE) ______________________________________________________________________________________________ Fig. 4. Second operation stage. Fig. 2. Modified SEPIC converter without magnetic coupling. The capacitor CM is charged with the output voltage of the classical boost converter. Therefore, the voltage applied to the L2 inductor during the conduction of the power switch (S) is higher than in the classical SEPIC, increasing the static gain. The polarity of the C S capacitor voltage is inverted in the proposed converter and the expressions of the capacitors voltages and others operation characteristics are presented in the theoretical analysis. The continuous conduction mode operation of the modified SEPIC converter presents two operation stages. All capacitors are considered as a voltage source for the theoretical analysis. 1) First Stage ([t0, t1] Fig. 3) - At the instant t0, switch S is turned-off and the energy stored in the input inductor L1 is transferred to the output through the C S capacitor and output diode Do and also is transferred to the CM capacitor through the diode DM. Therefore, the switch voltage is equal to the CM capacitor voltage. The energy stored in the inductor L2 is transferred to the output through the diode Do. 2) Second Stage ([t1, t2] Fig. 4) - At the instant t1, switch S is turned-on and the diodes DM and Do are blocked and the inductors L1 and L2 store energy. The input voltage is applied to the input inductor L1 and the voltage VCSVCM is applied to the inductor L2. The VCM voltage is higher than the VCS voltage. The main theoretical waveforms operating with hardswitching commutation are presented in Fig. 5. The voltage in all diodes and in the power switch is equal to the CM capacitor voltage. The output voltage is equal to the sum of the CS and CM capacitors voltage. The average L1 inductor current is equal to the input current and the average L2 inductor current is equal to the output current. Fig. 5. Main theoretical waveforms. The static gain of the proposed converter can be obtained considering that the average inductor voltage is zero at the steady-state and is presented in (1). The static gain of the proposed converter is higher than the obtained with the classical boost. (1) The CM capacitor voltage is calculated by (2) that is the same output voltage of the classical Boost converter. The switch voltage is equal to the VCM voltage. Therefore the switch voltage will be lower than the converter output voltage. (2) The voltage across the CS capacitor is calculated by (3). Fig. 3. First operation stage. (3) _______________________________________________________________________________________________ ISSN(Online): 2349-9338, ISSN(Print): 2349-932X Volume -2, Issue -1, 2015 17 International Journal on Advanced Electrical and Computer Engineering (IJAECE) ______________________________________________________________________________________________ The static gain of the classical SEPIC, Boost and modified SEPIC converters are presented in Fig. 6. As can be observed in this figure, with a duty-cycle equal to D=0.818, a static gain equal to 10 is obtained and the switch voltage is equal to 5.5 times the input voltage. Therefore, the switch voltage is close to half of the output voltage. Fig. 7. Modified SEPIC converter with magnetic coupling. Fig. 6. Converters static gain. B. Power Circuit with Magnetic Coupling The modified SEPIC converter without magnetic coupling can operate with the double of the static gain of the classical boost converter for a high duty-cycle. However, a very high static gain is necessary in some applications. A practical limitation for the modified SEPIC converter in order to maintain the converter performance is a duty-cycle close to D=0.85, resulting in a static gain equal to q=12.3. A simple solution to increase the static gain without increases the duty-cycle and the switch voltage is to include a secondary winding in the L2 inductor. The L2 inductor operation is similar to a buck-boost inductor and a secondary winding can increases the output voltage by the transformer turns ratio (n). Figure 7 shows this circuit alternative. However, this converter structure presents the problem of overvoltage at the output diode Do due to the existence of the transformer L2 leakage inductance. The energy stored in the leakage inductance due to the reverse recovery current of the output diode results in voltage ring and high reverse voltage at the diode Do. This overvoltage is not easily controlled with classical snubbers or dissipative clamping. A simple solution for this problem is the inclusion of a voltage multiplier at the secondary side as presented in Fig. 8. This voltage multiplier increases the converter static gain, the voltage across the output diode is reduced to a value lower than the output voltage and the energy stored in the leakage inductance is transferred to the output. Therefore the secondary voltage multiplier composed by the diode DM2 and capacitor CS2 is also a non-dissipative clamping circuit for the output diode. The circuit presented in Fig. 8 is the power circuit studied in this paper. Fig. 8. Proposed converter - Modified SEPIC converter with magnetic coupling and output diode voltage clamping. The continuous conduction mode operation of the modified SEPIC converter with magnetic coupling and output diode clamping presents five operation stages. All capacitors are considered as a voltage source for the theoretical analysis. 1) First Stage ([t0, t1] Fig. 9) – The power switch S is conducting and the input inductor L1 stores energy. The capacitor CS2 is charged by the secondary winding L2S and diode DM2. The leakage inductance limits the current and the energy transference occurs in a resonant way. The output diode is blocked and the maximum diode voltage is equal to (Vo-VCM). At the instant t1 the energy transference to the capacitor CS2 is finished and the diode DM2 is blocked. 2) Second Stage ([t1, t2] Fig. 10) – From the instant t1 when the diode DM2 is blocked to the instant t2 when the power switch is turned off, the inductors L1 and L2 store energy and the inductor currents increase linearly. 3) Third Stage ([t2, t3] Fig. 11) - At the instant t2 the power switch S is turned off. The energy stored in the L1 inductor is transferred to the CM capacitor. Also there is the energy transference to the output thought the capacitors CS1, CS2 inductor L2 and output diode Do. 4) Fourth Stage ([t3, t4] Fig. 12) - At the instant t3, the energy transference to the capacitor CM is finished and the diode DM1 is blocked. The energy transference to the output is maintained until the instant t4, when the power switch is turned on. Fig. 9. First operation stage. _______________________________________________________________________________________________ ISSN(Online): 2349-9338, ISSN(Print): 2349-932X Volume -2, Issue -1, 2015 18 International Journal on Advanced Electrical and Computer Engineering (IJAECE) ______________________________________________________________________________________________ The static gain variation as a function of the duty-cycle is presented in Fig.15. Fig. 10. Second operation stage. The static gain can be increased by the transformer turns ratio (n ) without to increase the switch voltage. The switch voltage is calculated by (2) and is the lowest curve presented in Fig. 15. Fig. 11. Third operation stage. Fig. 12. Fourth operation stage. Fig. 13. Fifth operation stage. 5) Fifth Stage ([t4, t5] Fig. 13) – When the power switch is turned on at the instant t4, the current at the output diode Do decreases linearly and the di/dt is limited by the transformer leakage inductance, reducing the diode reverse recovery current problems. When the output diode is blocked, the converter returns to the first operation stage. Fig. 14. Main theoretical waveforms of the modified SEPIC converter with magnetic coupling and voltage multiplier at the secondary side. The main theoretical waveforms of the modified SEPIC converter with magnetic coupling and with the voltage multiplier at the secondary side are presented in Fig. 14. The switch voltage and the voltage across all diodes are lower than the output voltage. The power switch turn on occurs with almost zero current reducing significantly the switching loss. The current variation ratio (di/dt) presented by all diodes is limited due to the presence of the transformer leakage inductance, reducing the negative effects of the diode reverse recovery current. The static gain of the modified SEPIC converter with magnetic coupling and voltage multiplier is equal to: Fig. 15. Static gain variation as a function of the dutycycle and transformer turns ratio. Where the transformer turns ratio (n) is calculated by: III. EXPERIMENTAL RESULT The experimental validation is obtained with the _______________________________________________________________________________________________ ISSN(Online): 2349-9338, ISSN(Print): 2349-932X Volume -2, Issue -1, 2015 19 International Journal on Advanced Electrical and Computer Engineering (IJAECE) ______________________________________________________________________________________________ implementation of two prototypes. The circuits presented in Fig. 2 and in Fig. 8 were implemented following the parameters presented in Table I. The components used in the prototypes are shown in Table II. TABLE I Prototypes Parameters Parameter Input Voltage (Vi) Output voltage (Vo) Output Power (Po) Switching Frequency (f) Duty-cycle (D) Switch Voltage (Vs) Static Gain (q) Modified SEPIC without magnetic coupling 12 V 120 V 100 W 30 kHz 0.82 67 V 10 Modified SEPIC with magnetic coupling 12 V 240 V 100 W 30 kHz 0.82 67 V 20 Figure 19 shows the input current, the switch voltage and current and the output voltage of the modified SEPIC converter with magnetic coupling, presented in Fig. 8. The output voltage is equal to 240 V and the switch voltage is close to 70 V. The experimental results are similar to the theoretical waveforms presented in Fig. 14. The switch commutation is presented in Fig. 20. The turn on commutation loss is reduced due to the presence of the transformer leakage inductance. TABLE II Prototypes Components Modified SEPICModified SEPIC Component without with magnetic coupling magnetic coupling S IRFP90N200 IRFP90N200 DM MUR860 DM1 MUR860 DM2 MUR860 Do MUR860 MUR860 CM 3.3 µF/250 V 3.3 µF/250 V CS 3.3 µF/250 V CS1 3.3 µF/250 V CS2 3.3 µF/250 V L1 EE42/15 EE42/15 L2 EE30/14 EE30/14 Co 100 µ/400 V 100 µ/400 V Fig.16. Input current (CH4), output voltage (CH3) and switch current (CH2) and voltage (CH1) of the Modified SEPIC converter without magnetic coupling (5 A/div, 40 V/div,10 µs/div). The experimental results obtained with the modified SEPIC converter without magnetic coupling are presented from Fig. 16 to Fig. 18. The results obtained with the proposed converter with magnetic coupling and voltage multiplier are presented from Fig. 19 to Fig. 21. Figure 16 shows the input current, the switch voltage and current and the output voltage. The output voltage is equal to 120 V and the switch voltage is close to 70 V. There is a peak switch voltage at the switch turn off due to a jump connection necessary to measure the switch current waveform. Eliminating the current probe connection at the power switch terminals, the switch voltage is clamped to the VCM capacitor voltage close to 70 V. Fig. 17. Switch current (CH2) and voltage (CH1) of the Modified SEPIC converter without magnetic coupling (5 A/div, 40 V/div, 1 µs/div). The switch commutation is presented in Fig. 17. The layout problem commented above and the reverse recovery current of the output diode can increase the commutation losses in the hard switching operation. A non dissipative snubber can be included to reduce the commutation loss but is not included in this paper. The output diode reverse recovery current is presented in Fig. 18. _______________________________________________________________________________________________ ISSN(Online): 2349-9338, ISSN(Print): 2349-932X Volume -2, Issue -1, 2015 20 International Journal on Advanced Electrical and Computer Engineering (IJAECE) ______________________________________________________________________________________________ The efficiency curves of the proposed converters are presented in Fig. 21. The modified SEPIC converter without magnetic coupling (black line) presents efficiency equal to 91.2% at the nominal power and the modified SEPIC converter with magnetic coupling and voltage multiplier (blue line) presents efficiency equal to 95% at the nominal output power. The maximum efficiency is equal to 96.5% and occurs at 70% of the nominal output power. Fig.18. Reverse recovery current of the output diode (2 A/div, 100 ns/div). The presence of the transformer leakage inductance reduces the commutation losses of the magnetic coupling converter increasing the efficiency. The efficiency of the proposed converter without magnetic coupling can be improved including a non dissipative snubber, but 91.2% is a good efficiency value for the hard switching operation and high static gain converter. Fig. 21. Efficiency curve of the proposed converters as a function of the output power. Fig.19. Input current (CH2), output voltage (CH3), switch current (CH4) and switch voltage (CH1) of the Modified SEPIC converter with magnetic coupling and voltage multiplier (5 A/div, 100 V/div,10 µs/div). Fig. 20. Switch current (CH4) and switch voltage (CH1) of the Modified SEPIC converter with magnetic coupling and voltage multiplier (2.5 A/div, 20 V/div, 5 µs/div). The negative effects of the reverse recovery current of the output diode are minimized. The peak switch voltage presented in Fig. 20 can be reduced eliminating the current probe connection used for the switch current waveform acquisition. IV. CONCLUSION Two new topologies of non isolated high static gain converters are presented in this paper. The first topology without magnetic coupling can operate with a static gain higher 10 with a reduced switch voltage. The structure with magnetic coupling can operate with static gain higher 20 maintaining low the switch voltage. The efficiency of proposed converter without magnetic coupling is equal to 91.2% operating with input voltage equal to 12 V, output voltage equal 120 V and output power equal 100 W. The efficiency of proposed converter with magnetic coupling is equal to 95% operating with input voltage equal to 12 V, output voltage equal 240 V and output power equal 100 W. The commutation losses of the proposed converter with magnetic coupling are reduced due to the presence of the transformer leakage inductance and the secondary voltage multiplier that operates as a non dissipative clamping circuit to the output diode voltage. REFERENCES [1] C W. Li, X. He, “Review of Non-Isolated High Step-Up DC/DC Converters in Photovoltaic Grid-Connected Applications”, IEEE Transactions on Industrial Electronics, vol. 58, no. 4, April 2011. _______________________________________________________________________________________________ ISSN(Online): 2349-9338, ISSN(Print): 2349-932X Volume -2, Issue -1, 2015 21 International Journal on Advanced Electrical and Computer Engineering (IJAECE) ______________________________________________________________________________________________ [2] Q. Zhao and F. C. Lee, “High-efficiency, high step-up DC–DC converters,” IEEE Transaction on Power Electronics, vol. 18, no. 1, pp. 65–73, Jan.2003. [3] R.-J. Wai and R.-Y. Duan, “High step-up converter with coupled-inductor,” IEEE Transaction on Power Electronics, vol. 20, no. 5, pp. 1025–1035, Sep. 2005. [4] G. Henn, R. Silva, P. Praça, L. Barreto D. Oliveira, “Interleaved Boost Converter with High Voltage Gain”, IEEE Transaction on Power Electronics, vol. 25, no. 11, pp. 2753–2761, Nov. 2010. [5] R. J. Wai, R. Y. Duan, “High-efficiency Power Conversion for Low Power Fuel Cell Generation System”, IEEE Transactions on Power Electronics, vol. 20, no.4, pp. 847-856, Jul 2005. _______________________________________________________________________________________________ ISSN(Online): 2349-9338, ISSN(Print): 2349-932X Volume -2, Issue -1, 2015 22