Application Report SLUA267 - April 2002 3.3-V to 12-V High-Efficiency Ceramic Only Non-Synchronous Boost Converter Sophie Chen Systems Power ABSTRACT This reference design describes the functionality of the controller in more detail. This design explains the procedures of a non-synchronous boost converter from 3.3 V to 12.0 V with TPS43000 PWM controller. Contents 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2 Design Procedure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 3 Test Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 4 PCB Layout . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 5 List of Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 List of Figures 1 Schematic of PMP145 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2 Power Stage Gain and Phase vs Frequency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 3 Efficiency vs Load Current . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 4 Typical Operation Waveforms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 5 Output Ripple . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 6 Transient Response . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 7 PCB Layout . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 List of Tables 1 List of Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 Trademarks are the property of their respective owners. 1 SLUA267 1 Introduction The TPS43000 is a high-frequency, voltage-mode, synchronous PWM controller that can be flexibly used in buck, boost, buck-boost, and SEPIC topologies. This full-featured controller is designed to drive a pair of external MOSFETs (N/P) and can be used with a wide range of output voltages and power level. It can be widely used in networking equipment, servers, PDAs, cellular phones, and telecommunication applications. A schematic of this board is shown in Figure 1. Recommended parts list is provided in Table 1. The layout of the PCB board is shown in Figure 7. The specification for this board is as follows: • VIN = 3.3 V ±10% • VOUT = 12 V • IOUT = 0.2 to 1.5 A, nominal current is 1 A and no PFM. • Ripple = 1.5% • Efficiency at nominal load > 90% + Figure 1. Schematic of PMP145 2 3.3-V to 12-V High-Efficiency Ceramic Only Non-Synchronous Boost Converter SLUA267 2 Design Procedure 2.1 Frequency Setting The TPS43000 can operate either in constant frequency, or in an automatic PFM mode. In the automatic PFM mode, the controller goes to sleep when the inductor current goes discontinuous, and wakes up when the output voltage has fallen by 2%. Please refer to the slus489 datasheet for more detail. The PFM mode is not used in this application. The converter operates at fixed 300 kHz. A resistor R4, which is connected from RT pin to ground, programs the oscillator frequency. The approximate operating frequency is calculated in equation (1). f ( MHz ) + 38 R4( kW ) (1) R4 = 127 kΩ is chosen for 300 kHz operation. 2.2 Inductance Value The inductance value is calculated in equation (2). L MIN + f (1 * D) D V OUT 2 2 (2) I OUTǒminǓ IRIPPLE is the ripple current flowing through the inductor, which affects the output voltage ripple and core losses. Based on 20% current ripple and 300 kHz, the inductance value is calculated as 5.5 µH and a 5.6-µH inductor is used. 2.3 Input and Output Capacitors The output capacitance and the ESR needed is calculated in equations (3) and (4). C OUTPUTǒminǓ + ESR OUT + I OUT(max) f D MAX (3) V RIPPLE V RIPPLE (4) I INǒ ripple Ǔ OUTǒmaxǓ ) 2 1*D MAX I With 1% output voltage ripple, the capacitance needed is at least 31 µF and the ESR should be less than 17 mΩ. Four 10-µF/16-V ceramic capacitors are used. The input capacitance is shown in equation (5). The calculated value is about 78-µF and a 180-µF low-ESR SP capacitor is used. C INǒminǓ + I INǒ ripple Ǔ D MAX TS V INǒ ripple Ǔ 3.3-V to 12-V High-Efficiency Ceramic Only Non-Synchronous Boost Converter (5) 3 SLUA267 2.4 Compensation Design For the boost converter, there is a right-half-plane (RHP) zero, which moves with the operating conditions. The phase starts to drop off a decade before this zero, limiting the system’s bandwidth. In this circuit, the RHP zero is around 17.2 kHz. The L-C frequency of the power stage, ƒC, is around 2.9 kHz and the ESR zero is around 1.6 MHz, as shown in Figure 2. The overall crossover frequency, ƒ0db, is chosen at 5 kHz for reasonable transient response and stability. R1 to R3 and C1 to C3 form a Type III compensator network. Both zeros (ƒZ1 and ƒZ2) from the compensator are set at 0.5 ƒC and ƒC to compensate the phase delay caused by RHP zero. Only one pole, (ƒp1) is set up at the RHP zero. C2, related to the second pole, is open because the ESR zero is as high as 1.6 MHz. The frequency of poles and zeros are defined by the following equations: f Z1 + 2 p 1 R2 C1 f P1 + 2 p 1 R3 C3 ; f Z2 [ 2 p 1 R1 C3 ; f P2 [ 2 p 1 R2 C1 , assuming R1 ơ R3 (6) , assuming C1 ơ C2 (7) The compensator values are shown below: C1 = 33 nF, C2: open, C3 = 1000 pF, R1 = 100 kΩ, R2 = 1.65 kΩ; R3 = 9.31 kΩ. POWER STAGE GAIN AND PHASE vs FREQUENCY 200 100 160 70 120 40 10 GFIL(mag) 40 –20 0 –50 –40 –80 –80 –110 GFIL(ph) –120 –140 –180 –170 –200 10 Phase – Degree Gain – db 80 –200 100 1k 10 k 100 k 1M f – Frequency – Hz Figure 2. 2.5 MOSFETs and Diode Si4442DY (RDS(on) = 7.5 mΩ) is chosen. MBRD835L is used for the rectify diode. 4 3.3-V to 12-V High-Efficiency Ceramic Only Non-Synchronous Boost Converter SLUA267 2.6 Voltage Sense Resistor R1 and R6 operate as output voltage divider. The internal reference voltage is 0.8 V. The relationship between the output voltage and divider is shown in equation (8). V REF R6 + V OUT (8) R1 ) R6 With 100-kΩ R1 and 12.0-V output regulation, R6 is calculated as 7.15 kΩ. 3 Test Results 3.1 Efficiency Curves The tested efficiency at different loads and input voltages are shown in Figure 3. The maximum efficiency is as high as 93.3% at 0.5-A output. EFFICIENCY vs LOAD CURRENT 94 VIN = 3.63 V Efficiency – % 92 VIN = 3.3 V 90 88 VIN = 3.0 V 86 0.0 0.5 1.0 1.5 ILOAD –Load Current – A Figure 3. 3.3-V to 12-V High-Efficiency Ceramic Only Non-Synchronous Boost Converter 5 SLUA267 3.2 Typical Operation Waveform Typical operation waveform is shown in Figure 4 with VIN = 3.3 V, IOUT = 1.0 A. TYPICAL OPERATION Vgs(Q1) (2.0 V/div) Vds(Q1) (10.0 V/div) t – Time – 1 µs/div Figure 4. Ch1: gate-source voltage of Q1; Ch2: drain-source voltage waveform of Q1. 3.3 Transient Response and Output Ripple Voltage The output ripple is about 140 mV peak-to-peak at 1.5-A output. When the load changes from 1.0 A to 1.2 A, the overshooting voltage is about 200 mV. OUTPUT RIPPLE TRANSIENT RESPONSE IOUT (0.2 A/div) VOUT(ac) (50 mV/div) VOUT (100 mV/div) t – Time – 1 µs/div t – Time – 200 µs/div Figure 5. 6 3.3-V to 12-V High-Efficiency Ceramic Only Non-Synchronous Boost Converter Figure 6. SLUA267 4 PCB Layout Figure 7 shows the PCB layout. All the components are on the top side of the board. The bottom side of the board is the ground plane. The PWB is made large to dissipate the losses. Top View Bottom View Figure 7. PCB Layout 3.3-V to 12-V High-Efficiency Ceramic Only Non-Synchronous Boost Converter 7 SLUA267 5 List of Material Table 1 lists the board components and their values, which can be modified to meet the application requirements. Table 1. List of Materials Size Reference Capacitor C1 C2 Description Manufacturer Part Number 1 Ceramic, 33 nF, 25 V, X7R, 10%, 603 Murata GRM188R71E333K 1 Ceramic, open, 50 V, COG, 5%, 603 Murata GRM1885C1HxxxJ C3 1 Ceramic, 1000 pF, 50 V, X7R, 10%, 603 Murata GRM188R71H102K C4,C5,C6 3 Ceramic, 0.47 µF, 25 V, X7R, 10%, 805 Murata GRM21BR71E474K C7 1 180 µF, 4.0 V, 18 mΩ, 20%, 7343 (D) Panasonic EEFUE0G181R C8,C9,C10,C11 4 Ceramic, 10 µF, 16 V, 10%, 1210 Murata GRM32ER61C106K D1 1 Schottky, 8 A, 35 V, DPAK ON Semiconductor MBRD835L Terminal Block J1,J2 2 2-pin, 6 A, 3.5 mm, 0.27 x 0.25”” OST ED1514 Inductor L1 1 SMT, 5.6 µH, 8.8 A, 11.4 mΩ, 12.9 mm sq Sumida CEP125–5R6 Resistor R1 1 Chip, 100 kΩ, 1/16 W, 1%, 603 Std Std R2 1 Chip, 1.65 kΩ, 1/16 W, 1%, 603 Std Std R3 1 Chip, 9.31 kΩ, 1/16 W, 1%, 603 Std Std R4 1 Chip, 127 kΩ, 1/16 W, 1%, 603 Std Std R5 1 Chip, 1 kΩ, 1/16 W, 1%, 603 Std Std R6 1 Chip, 7.15 kΩ, 1/16 W, 1%, 603 Std Std R7 1 Chip, 49.9 Ω, 1/16 W, 1%, 603 Std Std MOSFET Q1 1 N-channel, 30 V, 17 A, 7.5 mΩ, SO–8 Siliconix Si4442DY IC U1 1 Multi-topology high-frequency, PWM controller, TSSOP–16 Texas Instruments TPS43000PW Test Point TP1,TP2,TP3, TP4,TP5,TP6 6 Black, 1 mm, 0.038” Farnell 240–333 N/A 1 Printed circuit board, FR4, 0.032, SMOBC any PMP145 Diode 8 Qty 3.3-V to 12-V High-Efficiency Ceramic Only Non-Synchronous Boost Converter IMPORTANT NOTICE Texas Instruments Incorporated and its subsidiaries (TI) reserve the right to make corrections, modifications, enhancements, improvements, and other changes to its products and services at any time and to discontinue any product or service without notice. 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