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SC2446AEVB Datasheet(PDF) 17 Page - Semtech Corporation |
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SC2446AEVB Datasheet(HTML) 17 Page - Semtech Corporation |
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17 / 27 page ![]() 17 2005 Semtech Corp. www.semtech.com POWER MANAGEMENT SC2446A converter output voltage. This non-random error is caused by the feedback voltage divider ratio. It cannot be corrected by the feedback loop. The following table lists a few standard resistor combinations for realizing some commonly used output voltages. ) V ( o V 6 . 0 9 . 0 2 . 15 . 1 8 . 15 . 23 . 3 h / ) h - 1 ( 2 . 0 8 . 0 4 . 12 6 . 24 6 . 5 ) m h O ( 1 o R 0 0 2 6 0 8 K 4 . 1K 2 K 1 6 . 2K 2 0 . 4K 2 6 . 5 ) m h O ( 2 o R K 1 K 1 K 1K 1 K 1K 1K 1 Only the voltages in boldface can be precisely set with standard 1% resistors. From this table, one may also observe that when the value 5 . 0 5 . 0 V h h 1 o − = − and its multiples fall into the standard resistor value chart (1%, 5% or so), it is possible to use standard value resistors to exactly set up the required output voltage value. The input bias current of the error amplifier also causes an error in setting the output voltage. The maximum inverting input bias currents of error amplifiers 1 and 2 is -250nA. Since the non-inverting input is biased to 0.5V, the percentage error in the second output voltage will be –100% · (0.25 µA) · R o1 R o2 /[0.5 · (R o1 +R o2 ) ]. To keep this error below 0.2%, R o2 < 4k Ω. Loop Compensation SC2446A uses current-mode control for both step-down channels. Current-mode control is a dual-loop control system in which the inductor peak current is loosely controlled by the inner current-loop. The higher gain outer loop regulates the output voltage. Since the current loop makes the inductor appear as a current source, the complex high-Q poles of the output LC networks is split into a dominant pole determined by the output capacitor and the load resistance and a high frequency pole. This pole-splitting property of current-mode control greatly simplifies loop compensation. The inner current-loop is unstable (sub-harmonic oscillation) unless the inductor current up-slope is steeper than the inductor current down-slope. For stable operation above 50% duty-cycle, a compensation ramp is added to the sensed-current. In the SC2446A the compensation ramp is made duty-ratio dependent. The compensation ramp is approximately . A 30 * De I D 76 . 1 ramp µ = The slope of the compensation ramp is then . A 30 * f e ) D 76 . 1 1 ( S s D 76 . 1 e µ + = The slope of the internal compensation ramp is well above the minimal slope requirement for current loop stability and is sufficient for all the applications. With the inner current loop stable, the output voltage is then regulated with the outer voltage feedback loop. A simplified equivalent circuit model of the synchronous Buck converter with current mode control is shown in Figure 12. k Figure 12. A simple model of synchronous buck converter with current mode control. The transconductance error amplifier (in the SC2446A) has a gain g m of 260µA/V. The target of the compensation design is to select the compensation network consisting of C 2, C3 and R2, along with the feedback resistors Ro1, Application Information (Cont.) |
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