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LTC7899 Datasheet(PDF) 39 Page - Analog Devices |
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LTC7899 Datasheet(HTML) 39 Page - Analog Devices |
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39 / 50 page ![]() Data Sheet LTC7899 analog.com Rev. 0 39 of 50 decreases, the zero frequency is kept the same, keeping the phase shift the same in the most critical frequency range of the feedback loop. The output voltage settling behavior is related to the stability of the closed-loop system and demonstrates the actual overall supply performance. A second, more severe transient is caused by switching in loads with large (>1μF) supply bypass capacitors. The discharged bypass capacitors are effectively put in parallel with COUT, causing a rapid drop in VOUT. No regulator can alter its delivery of current quickly enough to prevent this sudden step change in output voltage, if the load switch resistance is low and it is driven quickly. If the ratio of CLOAD to COUT is greater than 1:50, the switch rise time must be controlled so that the load rise time is limited to approximately CLOAD × 25μs/μF. Therefore, a 10μF capacitor requires a 250μs rise time, limiting the charging current to about 200mA. Design Example As a design example, assume the nominal input voltage VIN(NOMINAL)= –48V with a range of –60V to –36V all with respect to ground, VOUT = 12V with respect to ground, IOUT = 8A, and fSW = 200kHz. Take the following steps to design an application circuit: 1. Set the operating frequency. The frequency is not one of the internal preset values. Therefore, a resistor from the FREQ pin to VIN- is required, with a value given by Equation 22, as follows: RFREQ(in kΩ) = 37MHz 200kHz = 185kΩ (22) 2. Determine the inductor value. Initially, select a value based on an inductor ripple current of 30%. The inductor value can then be calculated using Equation 23, as follows: L = |VIN−| fSW∙(∆IL) ( VOUT |VIN−|+VOUT ) = 7.5µH (23) The largest ripple happens when |VIN-| = 36V, where the average maximum inductor current is IL(MAX) = IOUT(MAX) • (1 + VOUT/|VIN-|) = 10.7A. A 10µH inductor will produce 30% ripple current. The peak inductor current will be the maximum DC value plus one-half the ripple current, or 12.3A. 3. Verify the minimum on-time of 120ns is not violated. The minimum on-time occurs at VIN(MAX), as shown in Equation 24, as follows: tON(MIN) < VOUT (|VIN(MAX)−|+VOUT)·fSW = 12V 60V·200k = 1µs (24) 4. This time is sufficient to satisfy the minimum on-time requirement. If the minimum on-time is violated, the LTC7899 skips pulses at high input voltage, resulting in lower frequency operation and higher inductor current ripple than desired. If undesirable, this behavior can be avoided by decreasing the frequency (with the inductor value accordingly adjusted) to avoid operation near the minimum on-time. 5. Select the RSENSE resistor value. The peak inductor current is 10.7A • (1 + 0.30/2) = 12.3A in this case. The RSENSE resistor value can then be calculated based on the minimum value for the maximum current sense threshold (45mV for ILIM = FLOAT), given by Equation 25, as follows: RSENSE ≤ 45mV 13A ≅ 3mΩ (25) 6. To allow for additional margin, a lower value RSENSE can be used (e.g., 2mΩ); however, be sure that the inductor saturation current has sufficient margin above VSENSE(MAX)/RSENSE, where the maximum value of 55mV is used for VSENSE(MAX). |
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