A New Control Strategy of Synchronous Buck Converter for Improved Light Load Efficiency
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1 A New Control Strategy of Synchronous Buck Converter for Improved ight oad Efficiency Nivya K Chandran, Mary P Varghese Abstract This paper deals with a novel control scheme adopted in Synchronous Rectifier (SR) Buck Converter to improve the conversion efficiency under light load condition. Since the output rectifier diode is replaced by a high frequency switch MOSFET, the SR control technique can be utilized under heavy load condition, attaining better standby mode performance. However, this technique does not hold well in light load condition, due to increased switching losses. A new control technique is introduced in the paper will enable synchronous buck converter to realize ZVS, while feeding light load. This is also cost effective and highly efficient simple technique without use of extra auxiliary switches and RC components. This control technique also proved to be efficient under input voltage variations. Simulation is done for proving output regulation scheme for synchronous rectifier (SR) buck converter using MATAB Simulink. In synchronous buck DC-DC converter configuration[4], the two MOSFETs used are synchronized shown in figure I. Synchronous Buck converter is similar to the conventionalbuck converterexcept the freewheeling diode is paralleled with SR switch Q2so that conduction loss is reduced. Index Terms Synchronous Rectifier (SR), Continuous Conduction Mode (CCM), Discontinuous Conduction Mode (DCM), Zero Voltage Switching (ZVS). I. INTRODUCTION Over the years of development in the portable device industry, different requirements such as improved battery life, small size, low cost, high efficiency and easy control are to be satisfied. The day by day increasing energy demand from power systems has made power consumption as the first preference. To almost achieve these demands, engineers worked hard to develop efficient conversion techniques. High efficiency conversion of power supplies helps to decrease the battery-operated devices power consumption, and thereby increases the devices operating life and also achieves reduced battery drain. In addition, if a fairly large amount of power is dissipated by these power devices, they should be adequately cooled by mounting on heat sinks. Thus the heat can be transferred to the air in the surrounding atmosphere. Heat sinks and other coolingarrangements will make the whole system bulky and large. The need for heat sinks and relaxes thermal design considerations will be reduced by decreased power dissipation in the power supply. These added benefits will result in the popularity of switching regulators which have fairly high efficiency and small size[2]. Manuscript received August, Nivya K Chandran, Department of Electrical and Electronics Engineering, VidyaAcademy of Science and Technology, (Thrissur, Kerala,, India, Phone/ Mobile No: Mary P Varghese, Department of Electrical and Electronics Engineering, VidyaAcademy of Science and Technology, Thrissur, Kerala,, India, Phone/ Mobile No: Figure I. Synchronous Buck DC-DC Converter It is observed that the efficiency decreases when the load becomes heavy or light. As load becomes light especially where the load current is small, the efficiency drops to extremely low very quickly. Since the portable devices are operating in low-power standby mode for a majority of the time, which is in the light load condition, the poor load efficiency at this condition can ridiculously reduce the battery operating time. Thus light-load efficiency improvement is critical and important for portable devices.[5] Many techniques have been proposed to reduce the switching losses arising from switching frequency. Pulse width modulation (PWM)[6], Pulse frequency modulation (PFM) control [7] [8], [9] and double-mode control with pulse width modulation (PWM) and pulse frequency modulation (PFM) have been widely used [10]. According to the previous researches, the PWM-controlled converter has lower conversion efficiency than the PFM-controlled converter in light loads, whereas in heavy load condition, the PWM-controlled converter has got better conversion efficiency compared to PFM [11][14]. Therefore, some studies decided to combine the advantages of boththe control methods to form a new control method called Dual mode control. PFM is used in light load condition, whereas PWM is chosen in heavy load condition. This method can achieve better efficiency and also the nonlinear inductor is used for lowering switching frequency at light load condition [25]. 2231
2 However, large output voltage transients and sub harmonic noise occurs during transition between PWM and PFM. The switching frequency is unpredictable and also requires complicated fabrication materials because of the variable frequency operation. But other technique namely resonant gate drive uses an inductor and two diodes provided to clamp and recover drive energy (clamped gate voltage). Also the circuit timing is adjusted to cycle inductor current during driving transitions (fast driving speed) [15] [17]. But the requirement of extra auxiliary switch and passive components and gate-source voltage over drive are its disadvantages. Several techniques like zero voltage switching (ZVS) [18] [20] and digital control [21][23], have been used,but the applications of these techniques are seem to be much complicated. ZVS and the digital control technique have better performance but need extra auxiliary switches and RC passive components. Moreover, the controller used is a digital system processor which will result overall cost to be high. The new control strategy in this paper enables an SR buck converter to have increased light load efficiency with ZVS technique without the requirement of extra auxiliary switches or RC passive components. This control technique is of least cost and control method is also easy. Furthermore, the SR control strategy can be used to a dclow voltage output (e.g.: microprocessors and memory). i t = i t 0 + V in V O (t t 0 ) II. OPERATING MODES The operation of an SR buck converter grouped into eight stages based on the status of the two switches and load conditions. The oscillograph of the inductor current and control signals in the eight operating stages of an SR buck converter is shown in Figure III. Based on different load conditions whetherheavy load or light load and according to the methods introduced here, there are two kinds of operating stage combinations. The first operating stage combination is in the heavy load condition, i.e., Stage 1-Stage 2, whereas the second operating stage combination is in the light load condition, i.e., Stage 1-Stage 6. The operating stages of an SR buck converter will be explained from the viewpoint of heavy load and light load in the following sections. The following assumptions are made to simplify the analysis. 1. The output load voltage is assumed as constant voltage source due to large output capacitance. 2. No losses occur in any part of the circuit, i.e. all components in the circuit are assumed to be ideal. Heavy oad Condition Figure II. Operating stages (stage1 stage6) B. Stage 2(t 1 - t 2 ): A. Stage 1(t 0 -t 1 ): In this state,v GS1 signal changes from the low level to the high level,whereas V GS2 changes from the high level to the low level. Thus, the main switch Q1 is turned ON and the SR complementary switch Q2 is made to turn OFF. The path of conduction is shown in figure II. The voltage across the inductor is given as v = V in -V O. The current throughthe inductor i increases linearly because V in > V O. Therefore, the inductor current i (t) at this time is expressed as At the instant of t 1, the SR complementary switch Q2 is switched ON and the main switch Q1 is made to turn OFF. The path of conduction is shown in figure II. The current flows through Q2 because the inductor current i is continuous. The voltage across the inductor is v = V O. Due to this, the current through the inductor i begins to decrease linearly. The inductor current i (t) at this time is i t = i t 1 + V O (t t 1 ) The parasitic capacitor voltage v Coss1 of switch Q1 is v Coss 1 t = V in 2232
3 At the end of stage 2, the next operating stage will be the same as the Stage 1 because the inductor current is continuous. In reference to the earlier description, the switch Q1 is complementary to SR switch Q2 when the synchronous buck converter is operated in heavy load situations. Therefore, the control strategy previously used is the same as the basic buck topology operation under heavy loads. The six operating stages of an Synchronous buck converter in light loads are explained as follows. current equation and the parasitic capacitive voltage equation is the same as that of stage 2 in heavy load condition and can be expressed as C. Stage 3(t 2 - t 3 ): i t = i t 1 + V O (t t 1 ) v Coss 1 t = V in The current through the inductor has dropped to zero at the time instant t 2. To avoid energy losses in the SR buck converter, the SR complementary switch Q2 is made to turn OFF.In this stage, the output inductor begin to resonate with the parasitic capacitors C oss of switches Q1 and Q2, which makes C oss1 to be discharged and other C oss2 to be charged.the inductive current i (t) and parasitic capacitive voltage v Coss1 can be given by: The inductive current i (t) and parasitic capacitive voltage v Coss1 can be given by: i t = V 0 Z sinω(t t 2) Where Z = v Coss 1 t = (V in V 0 ) + V 0 cosω(t t 2 ) C ; ω = 1 C ; C = 2C OSS = 2C OSS1 = 2C OSS2 D. Stage 4(t 3 - t 4 ): In Stage 4, the main switch Q1 continued to be turned OFF, while the SR switch Q2 is turned ON. As a result, the voltage across the inductor is v = -V O, which makes the inductor to be energized and the inductive current increases linearly in opposite direction. E. Stage 5(t 4 - t 5 ): i t = V 0 (t t 3) v Coss 1 t = V in Figure III. Oscillogram of voltages and inductor current under different load conditions ight oad Condition A. Stage 1(t 0 -t 1 ): In this state,the main switch Q1 is turned ON and the SR complementary switch Q2 is made to turn OFF. The path of conduction is shown in figure 2. i t = i t 0 + V in V O (t t 0 ) The inductive current equation is given above is same as that of stage 1 of heavy load condition. B. Stage 2(t 1 - t 2 ): At the instant of t 1, the SR complementary switch Q2 is switched ON and the main switch Q1 is made to turn OFF. The path of conduction is shown in figure II.The inductive Stage 5 is the period for resonance. The main switch Q1 and the SR switch Q2 are both made to turn OFF. The SR rectifying switch Q2 is not conducted while the inductor current should be continuous. This current enables C oss1 to be discharged and C oss2 to be charged. Until the voltage across the parasitic capactor C oss1 of switch Q1 is discharged to zero, and the voltage across the parasitic capacitor C oss2 of switch Q2 is charged from zero to a voltage V in. The inductive current i (t) and parasitic capacitor voltage v Coss1 (t) of switch Q1 are calculated as: Where Z = i t = V 0 Z sinω(t t 4) v Coss 1 t = (V in V 0 ) + V 0 cosω(t t 4 ) C ; ω = 1 C F. Stage 6(t 5 - t 6 ) ; C = 2C OSS = 2C OSS1 = 2C OSS2 In Stage 6, the main switch Q1 and the SR rectifying switch Q2 are continued to be turned OFF. Though, the parasitic 2233
4 capacitance C oss1 has been already discharged in the previous stage, while C oss2 has been discharged by inductive current. The body diode D1 will be conducted. The zero voltage condition of Q1 has been achieved in this stage. i (t) and v Coss1 (t) of switch Q1 are given as: i t = i t 5 + V in V O v Coss 1 t = 0 (t t 5 ) The ZCD circuit is mainly used to sense the inductive current and to generate the proper signals for achieving ZVS in light load condition. According to the previous explanation, the synchronous buck converter is operated in discontinuous mode (DCM) while operated in light load condition. While the inductive current becomes lesser than zero, the SR rectifying switch Q2 continued to be conducted. This will result in the decrease in conversion efficiency of the synchronous buck converter. The SR rectifying switch Q2 is conducted at the second time in one switching cycle makes the main switch Q1 to be conducted with ZVS and increment the efficiency in light load condition. In conclusion, the control method used here has the following merits. Under heavy loads, SR techniqueis used to reduce conduction losses whereas under light loads, ZVS technique is achieved to reduce switching losses. Conditions to achieve ZVS in ight oad Condition In light load condition,the ZVS of main switch Q1 is attained only when the inductor should store that enough energy which enables the parasitic capacitor of switch Q1 be discharged fully in Stage 4. So the energy E stored byinductor must to be higher thane Coss1 stored by the parasitic capacitor which can be expressed by the below equation (i p is the peak value of inductive current): i 2 p 2 C OSS1 V in The pulse duration for Stage 4 can be expressed using inductor equation in stage 6 of light load condition is t 43 V in C OSS1 V 0 The main switch Q1 in Stage 6 must be conducted to achieve the ZVS of switch main Q1. If the main switch Q1 is not conducted, the inductive current will charge the parasitic capacitance Coss1 in the positive direction again, and then the ZVS of main switch Q1 may be failed. The delay time from Stage 5 to Stage 6 is critical to achieve the ZVS condition of main switch Q1. The optimal delay duration is 1/4 of the resonance cycle and calculated by the following equation: T delay = 2π C OSS1 4 = π C OSS1 2 III. CONTRO STRATEGY The control structural circuit diagram of the SR buck converter is shown in Figure IV. It can be also seen that, there is one more zero current detector (ZCD) circuit compared with the conventional SR buck converter in the main frame. Figure IV: Control circuit structural diagram of an SR buck converter In the control frame, the PWM controller will be followed by the combination of logic circuit and RC delay circuit. The dead time control between the switches Q1 and Q2 is completed by means of driver circuit. The control structure circuit of SR buck converter comprises of two parts. PWM Controller and ZVS Control logic. PWM Controller Output voltage is fed back and compared with reference signal to get control signal. This control signal is modulated with saw tooth signal to obtain required PWM signal. ZVS control logic The PWMsignal input is first delayed using RC delay (Δt) after double negation formsv GS1.V GS2 is obtained as the OR output of two signals U out and Pulse.Pulse is the AND output of P delay and PWM signal. U out is the AND output of ZCDand PWM signal.. ZCD will always be high until inductor current becomes zero. Under heavy load, U out is influenced by only PWM signal. IV. SIMUATION AND RESUTS Table 1 shows the model parameters of all elements used for simulation. 2234
5 Table1: Model parameters and their values No Parameters Values 1 Input voltage(v in ) 12-18V 2 Output voltage(v O ) 5V 3 Switching Frequency(f s ) 10kHZ 4 Output Inductance() 0.3mH 5 Output Capacitance(C) 899µF 6 Electrostatic Resistance(ESR) 100mΩ Figure VI: Output voltage across 1Ω load 7 Maximum Output current 5A The proposed synchronous buck DC-DC converter is simulated and the simulation model is presented in the MATAB Environment. Figure V. Simulink model for the control of SR buck DC-DC converter with ZVS logic Figure V shows the control strategy for SR buck converter with ZVS logic circuit realized in MATAB Simulink. The input voltage is varied from 12V to 18V using a controlled voltage source. The input voltage given to the power stage is lowered to 5V at the output. This output voltage is fed back and passed through sensor gain and compared with reference signal in the compensated error amplifier [27] and then modulated with saw tooth signal to generate PWM. This generated PWM is applied as the input to the ZVS control logic circuit. The gating control signals for both switches are the outputs of ZVS control logic. Figure VII: Gate and switch voltages for main switch Q1 and SR witch Q2 for 1Ω load resistor 2235
6 The figure VI and figurevii shows the variations of output voltages,switch voltages and gate voltages with respect to time in case of SR buck converter with voltage mode control and voltage error amplifier using ZVS control logic for load resistance of 1Ω. Since the load resistance is low and this operating condition is also termed as light load condition.in figure VI,it can be seen that gate voltageof main switch and drain-source voltage of main switch is complementary.that means, the ZVS condition of the main switch is achieved. The load resistance is increased by 100 times to obtain the simulation results at light load conditions. The figure VIII and figure IX shows the variations of output voltages, switch voltages and gate voltages with respect to time in case of SR buck converter with voltage mode control and voltage error amplifier using ZVS control logic for load resistance of 100Ω. Since the load resistance is high and this operating condition is also termed as heavy load condition. In figure IX, it can be also seen that gate voltage of main switch and drain-source voltage of main switch is complementary. That means, the ZVS condition of the main switch is achieved in light load condition too. Figure IX: Gate and switch voltages for main switch Q1 and SR witch Q2 for 100Ω load resistor Thus, under light and heavy load conditions, the output voltage is maintained regulated at 5V for even input voltage variation from 12 to 18V. The ZVS condition of the main switch helps in reducing switching losses with improved light load efficiency. Figure VIII: Output voltage across 100Ω load V. CONCUSIONS The control technique applicable to an SR buck converter under any operating load condition is designed and simulated by analyzing the converter operating principles. Under heavy load condition, SR technique (SR configuration itself) is used to reduce conduction losses while under light load conditions; ZVS technique is achieved to reduce the switching losses. This is the control strategy adopted for SR buck converter to operate under any load conditions. This control method has two advantages. First, due to the SR 2236
7 technique, the diode of output rectifier can be replaced by a MOSFET. This will help to reduce conduction losses and increase the conversion efficiency of the converter. Second, when the converter is operated in light load condition, ZVS will be achieved successfully without any auxiliary switch or passive component(r,, C). In other words, there is no need to add extra cost in the converter, and thus the conversion efficiency of the converter can also be increased in light load condition. This new control strategy has better conversion efficiency than the conventional control technique in light load condition. Simulation is done showing the voltage control of SR buck converter stabilized with proportional-integral-derivative (PID) compensator and ZVS control logic circuit using MATAB/SIMUINK.. 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8 Mary P Varghese is currently an Associate Professor in the Department of Electrical and Electronics Engineering, Vidya Academy of Science and Technology, Thrissur, India, where she has been a faculty member since August She published a paper on Design and Allocation Electricity Markets, in MFIIS-12 in Kolkata on November Stand-Alone Solar Cell with SEPIC Converter and Palm print Feature Extraction and Matching using ifting Wavelets are some of her other publications. 2238
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