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34704 Datasheet(PDF) 41 Page - Freescale Semiconductor, Inc |
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34704 Datasheet(HTML) 41 Page - Freescale Semiconductor, Inc |
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41 / 54 page ![]() Analog Integrated Circuit Device Data Freescale Semiconductor 41 34704 FUNCTIONAL DEVICE OPERATION COMPONENT CALCULATION 1. First calculate the dt_I (inductor current rising time) given by: dtI IomaxT ΔIostep ---------------------- = [s] Where the parameter ΔIo_step is the maximum current step during the current rising time and is define as: ΔIostep Dmax Fsw -------------- ⎝⎠ ⎛⎞ Vinmin Vo – L ------------------------------- ⎝⎠ ⎛⎞ = [A] 2. Then the output capacitor can be chosen as follow: COUT IomaxdtI ΔVo max ---------------------- ≤ [A] •Where ΔVO max is the maximum allowed transient overshoot expressed as a percentage of the output voltage, typically from 3 to 5% of Vo. 3. Finally find the maximum allowed ESR to allow the desired transient response: ESRmax ΔVo r Fsw () L () Vo 1 Dmin – () -------------------------------------- = [ Ω] NOTE: Do not use the parameters ΔVO r and ΔVOmax indistinctly, the first one indicates the output voltage ripple, while the second one is the maximum output voltage overshoot (transient response). • R1 and RB: These two resistors help to set the output voltage to the desire value using a Vref=0.6 V, select R1 between 10 k and 100 K and then calculate RB as follows: RB R1 Vo Vref ------------ 1 – ---------------------- = [ Ω] • Compensation network. (C1,C2,C3, R2, R3): For compensating a buck converter, 3 important frequencies referring to the plant are: 1. Output LC filter cutoff frequency (FLC): FLC 1 LCOUT 2 π -------------------------- = [Hz] 2. Cutoff frequency due to capacitor ESR: FESR 1 2 π C OUT ()ESR ---------------------------------------- = [Hz] 3. Crossover frequency (or bandwidth): FBW FSW 10 ----------- = [Hz] The Type 3 external compensation network will be in charge of canceling some of these poles and zeros to achieve stability in the system. The following poles and zeroes frequencies are provided by the type 3 compensation. |
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