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SC4503 датащи(PDF) 9 Page - Semtech Corporation |
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SC4503 датащи(HTML) 9 Page - Semtech Corporation |
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9 / 22 page ![]() 9 2007 Semtech Corp. www.semtech.com SC4503 POWER MANAGEMENT Applications Information (Cont.) Duty Cycle The duty cycle D of a boost converter in continuous-conduc- tion mode (CCM) is: + − + − = (3) where V CESAT is the switch saturation voltage and VD is volt- age drop across the rectifying diode. Maximum Output Current In a boost switching regulator the inductor is connected to the input. The inductor DC current is the input current. When the power switch is turned on, the inductor current flows into the switch. When the power switch is off, the inductor current flows through the rectifying diode to the output. The output current is the average diode current. The diode current waveform is trapezoidal with pulse width (1 – D)T (see Figure 4). The output current available from a boost converter therefore depends on the converter oper- ating duty cycle. The power switch current in the SC4503 is internally limited to at least 1.4A. This is also the maximum peak inductor or the peak input current. By estimating the conduction losses in both the switch and the diode, an expression of the maximum available output current of a boost converter can be derived: () − − − − = (4) Switch Current Diode Current ON ON OFF ON ON OFF ON OFF (1-D)T DT Inductor Current 0 0 IN I OUT I Switch Current Diode Current ON ON OFF ON ON OFF ON OFF (1-D)T DT Inductor Current 0 0 IN I OUT I Figure 4. Current Waveforms in a Boost Converter Figure 4. Current Waveforms in a Boost Converter Switch Current Diode Current ON ON OFF ON ON OFF ON OFF (1-D)T DT Inductor Current 0 0 IN I OUT I Switch Current Diode Current ON ON OFF ON ON OFF ON OFF (1-D)T DT Inductor Current 0 0 IN I OUT I Figure 4. Current Waveforms in a Boost Converter Figure 4. Current Waveforms in a Boost Converter where I LIM is the switch current limit. It is worth noting that I OUTMAX is directly proportional to the ratio and that switching losses are neglected in its derivation. Equation (4) therefore over-estimates the maximum output current, however it is a useful first-order approximation. Using V CESAT = 0.3V, VD = 0.5V and ILIM =1.4A in (3) and (4), the maximum output current for three V IN and VOUT combi- nations are tabulated (Table 1). Maximum Duty-Cycle Limitation The power transistor in the SC4503 is turned off every switching period for 80ns. This minimum off time limits the maximum duty cycle of the regulator. A boost converter with high ratio requires long switch on time and high duty cycle. If the required duty cycle is higher than the attain- able maximum, then the converter will operate in dropout. (Dropout is a condition in which the regulator cannot attain its set output voltage below current limit.) Note: dropout can occur when operating at low input volt- ages (<3V) and with off times approaching 100ns. Shorten the PCB trace between the power source and the device input pin, as line drop may be a significant percentage of the input voltage. A regulator in dropout may appear as if it is in current limit. The cycle-by-cycle current limit of the SC4503 is duty-cycle and input voltage invariant and should be at least 1.4A. If the converter output is below its set value and switch current limit is not reached (1.4A), then the converter is likely in dropout. Example : Determine the highest attainable output voltage when boosting from a single Li-ion cell. Equation (3) can be re-arranged as: Table 1. Calculated Maximum Output Currents V IN (V) V OUT (V) D I OUT (A) 3.3 12 0.754 0.34 3.3 5 0.423 0.80 5 12 0.615 0.53 V IN (V) V OUT (V) D I OUT (A) 3.3 12 0.754 0.34 3.3 5 0.423 0.80 5 12 0.615 0.53 Table 1. Calculated Maximum Output Currents V IN (V) V OUT (V) D I OUT (A) 3.3 12 0.754 0.34 3.3 5 0.423 0.80 5 12 0.615 0.53 V IN (V) V OUT (V) D I OUT (A) 3.3 12 0.754 0.34 3.3 5 0.423 0.80 5 12 0.615 0.53 |
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