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ADP3801 датащи(PDF) 13 Page - Analog Devices |
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ADP3801 датащи(HTML) 13 Page - Analog Devices |
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13 / 20 page ![]() ADP3801/ADP3802 –13– REV. 0 Current Sense The maximum charging current is specified by the battery manufacturer as 4.0 A. To avoid losing excessive power on the current-sense resistor, it is advisable to keep the voltage drop across the resistor at maximum current to 160 mV or below. Thus, RCS = 0.16 V/4 A = 40 mΩ. The resistor’s maximum power rating can be calculated using the data sheet specification for the Overcurrent Comparator. The overcurrent protection is specified at 4.9 A when using a 40 m Ω resistor; therefore, the resistor has to be rated at PR = (4.9) 2 × 0.04 = 0.96 W. Thus a 1.0 W or higher power rated resistor should be used. Two 2.2 nF capacitors are connected from the CS+ and CS– inputs to ground to filter out high frequency switching noise. ISET Programming Voltage This voltage programs the charge current based on the above calculated RCS. Using the data sheet specification for the current programming at the ISET input of 0.1 V/V, we need: V RI VV A VV V ISET CS CHARGE = × = × = 01 004 4 0 01 16 ./ .. ./ . Ω The 1.6 V can be obtained from the 3.3 V LDO by a resistor divider of 20 k Ω and 22 kΩ. PROG Voltage Next, the PROG voltage has to be determined to set the proper final battery voltage. From the data sheet, VPROG for two Li-Ion batteries in series (12.6 V) is between 2.05 V and 2.3 V. A 2.2 V input can be obtained from the 3.3 V LDO by a resistor divider of 66.5 k Ω and 33.2 kΩ. ADJ Voltage Since no further adjustment of the final battery voltage is re- quired, this pin is tied to the VL pin, which disables the internal amplifier. Output Voltage and Duty Cycle A Buck type of converter’s output voltage VO can be calculated as follows: V VD V T T O IN IN ON = × = × × 100 100 In the above equation, D is the maximum duty cycle of the converter in percentage, and TON and T are the ON time and total period respectively. Setting VINMIN = 15 V provides margin for external voltage drops and the common-mode input range of the current sense amplifier. For VIN = 11 V: DMAX = VO × 100 / VIN = 12.6 × 100 / 15 = 84% For VIN = 20 V: DMAX = VO × 100 / VIN = 12.6 × 100 / 20 = 63% Buck Inductor The inductor value can be calculated after determining the allowable amount of inductor ripple current. For continuous buck operation, and considering low cost inductor core materi- als and acceptable core losses at 200 kHz, the usual peak-to- peak inductor ripple current (IRPP) used is 20%-40% of the maximum dc current. Using 25% of 4.0 ADC gives IRPP = 1.0 APP. The maximum off-time of the Buck switch (TOFFMAX) occurs at the maximum input voltage of 20 V: T D f kHz s OFFMAX MAX OSC = − × = − × = 100 100 100 63 200 100 19 . µ This gives an inductor value of: L VT I Vs A H OMAX OFFMAX RPP > × = × = 12 6 1 9 10 24 .. . µ µ The max inductor peak current is calculated as follows: ILPEAK = IDC + IRPP /2 = 4.0 + 1.0/2 = 4.5 APEAK The max inductor rms current is calculated (where 0.577 is the conversion factor for a peak to RMS value): I VT L s H A LRMS O OFF = ×× × = ×× × = 0 577 0 5 0 577 0 5 12 6 1 9 24 03 .. .. . . . µ µ An appropriate inductor is the Coiltronix UP4B330, which is specified at 33 µH and can carry the 4.5 A current with about a 20 °C temperature rise. For the ADP3802, the above formulas give: TOFFMAX = 0.74 µs and L = 10 µH. PFET Selection and Thermal Design We have to consult the available P-channel MOSFET (PFET) transistor selection charts for switch-mode power supply appli- cations to find a PFET in the desired package whose Safe Operation Area (SOA) would meet the maximum VIN and IO requirements with acceptable margin. For this application, the Temic Si4463 was selected in an SO-8 package. This transistor is specified at VDSS = –20 V, VGSMAX = 12 V, RDS(ON) = 0.013 Ω (for VGS = 4.5 V), and IDMAX = 10 A. Its SOA covers the 20 V, 4.0 ADC, and 4.5 APEAK application requirements with adequate margin. Since the switching losses are negligible for properly driven PFETs compared to conduction losses, the worst-case conduc- tion losses can be estimated from the worst case ON resistance (RDS(ON)) of the selected PFET when subjected to short circuit current at the minimum input voltage and close to 100% duty cycle. RDS(ON) increases about 50% at TJ = 150°C. Thus the worst case value we can use is 0.023 Ω. The maximum PFET dissipation is calculated as follows: PDMAX = IPEAK 2 × R DS(ON) = 4.5 A 2 × 0.023 Ω = 0.47W Next the maximum junction temperature TJMAX of the transistor can be calculated: TJMAX = TA + (RθJA) × PDMAX = 50 + (50) × 0.47 = 74°C where TA = 50°C and RθJA = 50°C/W, as specified on the transistor’s data sheet for a 1 inch square PCB-pad. The calcu- lated TJMAX should be below the maximum allowed junction temperature of the transistor with adequate margin. The Si4463 specifies a TJMAX of 150°C, which we meet with more than adequate margin. |
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