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MIC4722 Datasheet(PDF) 14 Page - Micrel Semiconductor |
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MIC4722 Datasheet(HTML) 14 Page - Micrel Semiconductor |
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14 / 20 page ![]() Micrel, Inc. MIC4722 September 2007 14 M9999-090507-B The following Bode analysis show the small signal loop stability of the MIC4722, it utilizes type III compensation. This is a dominant low frequency pole, followed by 2 zeros and finally the double pole of the inductor capacitor filter, creating a final 20dB/decade roll off. Bode analysis gives us a few important data points; speed of response (Gain Bandwidth or GBW) and loop stability. Loop speed or GBW determines the response time to a load transient. Faster response times yield smaller voltage deviations to load steps. Instability in a control loop occurs when there is gain and positive feedback. Phase margin is the measure of how stable the given system is. It is measured by determining how far the phase is from crossing zero when the gain is equal to 1 (0dB). -30 -20 -10 0 10 20 30 40 50 60 FREQUENCY (Hz) Bode Plot V IN =3.3V, V OUT =1.8V, I OUT =3A -105 -70 -35 0 35 70 105 140 175 210 100 1k 10k 100k 1M L=1µH C OUT = 4.7µF R1 = 10k R2 = 12.4k C FF = 82pF GAIN PHASE Typically for 3.3Vin and 1.8Vout at 3A; • Phase Margin=47 Degrees • GBW=156KHz Gain will also increase with input voltage. The following graph shows the increase in GBW for an increase in supply voltage. -30 -20 -10 0 10 20 30 40 50 60 FREQUENCY (Hz) Bode Plot V IN =5V, V OUT =1.8V, I OUT =3A -105 -70 -35 0 35 70 105 140 175 210 100 1k 10k 100k 1M L=1µH C OUT = 4.7µF R1 = 10k R2 = 12.4k C FF = 82pF GAIN PHASE 5Vin, 1.8Vout at 3A load; • Phase Margin=43.1 Degrees • GBW= 218KHz Being that the MIC4722 is non-synchronous; the regulator only has the ability to source current. This means that the regulator has to rely on the load to be able to sink current. This causes a non-linear response at light loads. The following plot shows the effects of the pole created by the nonlinearity of the output drive during light load (discontinuous) conditions. -30 -20 -10 0 10 20 30 40 50 60 FREQUENCY (Hz) Bode Plot V IN =3.3V,V OUT =1.8V,I OUT =50mA -105 -70 -35 0 35 70 105 140 175 210 100 1k 10k 100k 1M L=1µH C OUT = 4.7µF R1 = 10k R2 = 12.4k C FF = 82pF GAIN PHASE 3.3Vin, 1.8Vout Iout=50mA; • Phase Margin=90.5 Degrees • GBW= 64.4KHz Feed Forward Capacitor The feedback resistors are a gain reduction block in the overall system response of the regulator. By placing a capacitor from the output to the feedback pin, high frequency signal can bypass the resistor divider, causing a gain increase up to unity gain. -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 FREQUENCY (Hz) Gain and Phase vs. Frequency 0 5 10 15 20 25 100 1k 10k 100k 1M L=1µH C OUT = 4.7µF R1 = 10k R2 = 12.4k C FF = 82pF GAIN PHASE The graph above shows the effects on the gain and phase of the system caused by feedback resistors and a feedforward capacitor. The maximum amount of phase boost achievable with a feedforward capacitor is graphed below. |
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