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SC2441AEVB датащи(PDF) 33 Page - Semtech Corporation |
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SC2441AEVB датащи(HTML) 33 Page - Semtech Corporation |
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33 / 37 page ![]() 33 2006 Semtech Corp. www.semtech.com POWER MANAGEMENT SC2441A Applications Information 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 SC2441A the compensation ramp is made duty-ratio dependent. The compensation ramp is approximately D 0.734 SLOPE e D 230mV (D) V × × × = D is the duty ratio. The slope compensation voltage vs duty ratio is as shown in Figure 22. Figure 22. Slope Compensation Voltage Waveform Illustrated as the picture above, as the duty ratio increases, the slope compensation voltage added into the control loop increases too. And the control loop including the slope compensation is shown in Figure 23. The voltage transconductance error amplifier (shown in Figure 24) has a g m of 315µA/V. C 2 , C 3 and R 2 construct the compensation network for stable operation with optimized load transient response. The feedback gain h and the resistor values are determined using the equations given in the “Setting the Output Voltage” section with . V 5 . 0 h o = Slope Compensation Voltage CS+ CS- + - ++ x 29 - + 0.5V FB V BE+1.13V + - Compensation Network Comp + - PWM EA Figure 23. Control Flow Chart with Slope Compensation k Figure 24. A simple model of current-mode buck converter For the rated output current I o, the first-order gain k is determined as . V I k c o D D = k is the product of equivalent current sensing Rs and current amplifier gain Gca=29. Furthermore the transfer 0.0 0.1 0.2 0.3 0.4 0.5 0.00.2 0.40.6 0.81.0 Duty Ratio (D) |
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