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ADP1173AN-12 Datasheet(PDF) 6 Page - Analog Devices |
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ADP1173AN-12 Datasheet(HTML) 6 Page - Analog Devices |
6 / 16 page ADP1173 –6– REV. 0 When the internal power switch turns ON, current flow in the inductor increases at the rate of: IL (t) = V IN R ′ 1– e –R ′t L (3) where L is in henrys and R' is the sum of the switch equivalent resistance (typically 0.8 Ω at +25°C) and the dc resistance of the inductor. In most applications, where the voltage drop across the switch is small compared to VIN , a simpler equation can be used: IL (t) = V IN L t (4) Replacing “t” in the above equation with the ON time of the ADP1173 (23 µs, typical) will define the peak current for a given inductor value and input voltage. At this point, the inductor energy can be calculated as follows: EL = 1 2 LI 2PEAK (5) As previously mentioned, EL must be greater than PL/fOSC so the ADP1173 can deliver the necessary power to the load. For best efficiency, peak current should be limited to 1 A or less. Higher switch currents will reduce efficiency, because of increased saturation voltage in the switch. High peak current also increases output ripple. As a general rule, keep peak current as low as pos- sible to minimize losses in the switch, inductor and diode. In practice, the inductor value is easily selected using the equa- tions above. For example, consider a supply that will generate 9 V at 50 mA from a 3 V source. The inductor power required is, from Equation 1: PL = (9V + 0.5V –3V )×(50 mA) = 325 mW On each switching cycle, the inductor must supply: PL f OSC = 325 mW 24 kHz =13.5µJ The required inductor power is fairly low in this example, so the peak current can also be low. Assuming a peak current of 500 mA as a starting point, Equation 4 can be rearranged to recommend an inductor value: L = V IN IL(MAX ) t = 3V 500 mA 23 µs =138 µH Substituting a standard inductor value of 100 µH, with 0.2 Ω dc resistance, will produce a peak switch current of: IPEAK = 3V 1.0 Ω 1– e –1.0 Ω× 23 µs 100 µH = 616 mA Once the peak current is known, the inductor energy can be calculated from Equation 5: EL = 1 2 (100 µH)×(616 mA)2 =19 µJ The inductor energy of 19 µJ is greater than the P L/fOSC re- quirement of 13.5 µJ, so the 100 µH inductor will work in this application. By substituting other inductor values into the same equations, the optimum inductor value can be selected. When selecting an inductor, the peak current must not exceed the maximum switch current of 1.5 A. If the equations shown above result in peak currents > 1.5 A, the ADP1073 should be considered. This device has a 72% duty cycle, so more energy is stored in the inductor on each cycle. This results in greater output power. The peak current must be evaluated for both minimum and maximum values of input voltage. If the switch current is high when VIN is at its minimum, then the 1.5 A limit may be ex- ceeded at the maximum value of VIN. In this case, the ADP1173’s current limit feature can be used to limit switch current. Simply select a resistor (using Figure 4) that will limit the maximum switch current to the IPEAK value calculated for the minimum value of VIN. This will improve efficiency by producing a con- stant IPEAK as VIN increases. See the Limiting the Switch Current section of this data sheet for more information. Note that the switch current limit feature does not protect the circuit if the output is shorted to ground. In this case, current is only limited by the dc resistance of the inductor and the forward voltage of the diode. Inductor Selection—Step-Down Converter The step-down mode of operation is shown in Figure 15. Unlike the step-up mode, the ADP1173’s power switch does not saturate when operating in the step-down mode. Therefore, switch current should be limited to 650 mA in this mode. If the input voltage will vary over a wide range, the ILIM pin can be used to limit the maximum switch current. If higher output current is required, the ADP1111 should be considered. The first step in selecting the step-down inductor is to calculate the peak switch current as follows: IPEAK = 2IOUT DC VOUT +V D V IN –VSW +V D (6) where DC = duty cycle (0.55 for the ADP1173) VSW = voltage drop across the switch VD = diode drop (0.5 V for a 1N5818) IOUT = output current VOUT = the output voltage VIN = the minimum input voltage As previously mentioned, the switch voltage is higher in step- down mode than step-up mode. VSW is a function of switch current and is therefore a function of VIN, L, time and VOUT. For most applications, a VSW value of 1.5 V is recommended. The inductor value can now be calculated: L = V IN(MIN) –VSW –VOUT IPEAK × t ON (7) where tON = switch ON time (23 µs) If the input voltage will vary (such as an application that must operate from a 12 V to 24 V source) an RLIM resistor should be selected from Figure 5. The RLIM resistor will keep switch cur- rent constant as the input voltage rises. Note that there are separate RLIM values for step-up and step-down modes of operation. |
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