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LTC3124 Datasheet(PDF) 23 Page - Analog Devices |
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LTC3124 Datasheet(HTML) 23 Page - Analog Devices |
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23 / 36 page ![]() LT3120 23 Rev. 0 For more information www.analog.com APPLICATIONS INFORMATION by the efficiency divided by the boost ratio (see Equation 21 and Equation 22). Refer to the typical curves for ef- ficiency information. GCS(OUT) = 13.6A / V (Buck Mode) (21) GCS(OUT) =13.6A / V • VIN 2VOUT •Eff (Boost Mode) (22) Frequency dependent terms that affect the loop gain are given by Equation 23 through Equation 26. Output Load Pole (P1) fP1= 2 2 π •RLOAD •COUT (23) Error Amplifier Compensation (P2, Z1) fP2 = 1 2 π •REACC Hz (close to DC) (24) fZ1= 1 2 π •RZ •CC Hz (25) Right Half Plane Zero fRHPZ = VIN2 •RLOAD VOUT2 •2π •L Hz (26) In some cases it may not be possible to achieve sufficient loop bandwidth and phase margin using a simple RC net- work connected to the VC pin. In these cases additional compensationmayberequired.Thisisaccomplishedbythe addition of a feed forward RC network in parallel with the top resistor of the feedback divider. A small feed forward capacitor alone may be sufficient in some applications. A common situation that may require a feed forward net- work is when the converter is operating in boost mode and the closed loop crossover frequency (fCC) is close the Right Half Plane Zero. This may be done in order to reduce output capacitance requirements by increasing the loop bandwidth. Due to the additional phase loss introduced by the RHPZ, a simple RC compensation network on the VC pin may not be able to provide sufficient phase boost to stabilize the loop. Compensation Example This section will demonstrate how to derive and select the compensation components for a 5V output supplying 3A from an input voltage as low as 3V. The compensation is designed for the worse case boost mode operation which typically represents the worse case stability. Designing compensation for most other applications is simply a matter of substituting in different values to the equations given in the example and reviewing the resulting Bode Plot, adjusting as needed. Since the compensation design procedure uses a simplified model of the LT3120, results should be checked using time domain step response tests to validate the effectiveness of the compensation chosen. It is assumed that values and types for capacitors and the inductor will be selected based on the guidance given elsewhere in this data sheet. Particular attention should be paid to voltage biasing effects on capacitors used for input and output bypassing. Similarly, it is assumed that inductor values and current ratings are selected based on application requirements. Example Operating Conditions: VIN = 3V to 20V VOUT = 5V ILOAD(MAX) = 3A COUT = 150µF L = 2.2µH fSW = 1MHz First it is necessary to determine the lowest frequency for fRHPZ (see Equation 27). This will determine the maximum bandwidth that can safely be configured for the converter while operating in boost mode. fRHPZ = VIN2 •RLOAD VOUT2 •2π •L = 43.4kHz (27) In order to ensure sufficient safety margin, the closed loop crossover frequency (fCC) should be sufficiently below the RHPZ frequency to account for variability of the internal components of the IC as well as variability of external influences on the converter response at the cost of possibly higher loop bandwidth. If sufficient phase margin exists at the crossover frequency, a higher loop |
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