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SP6123 Datasheet(PDF) 14 Page - Sipex Corporation |
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SP6123 Datasheet(HTML) 14 Page - Sipex Corporation |
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14 / 18 page ![]() 14 Date: 5/25/04 SP6123 Low Voltage, Synchronous Step Down PWM Controller © Copyright 2004 Sipex Corporation Most electrolytic and tantalum capacitors come with adequate ESR value to generate a zero below power supplies’ crossover frequency. This is cru- cial to a stable close loop system. However, this same system can become unstable if ceramic out- put capacitors are used. The low ESR associated with ceramic capacitors can push the ESR zero above the crossover frequency and often higher than 1MHz. In this case, type III compensation is required to provide additional low frequency zero for adequate phase margin and thus stable operation. The design of type III compensation using SP6123 transconductance error amplifier is quite straightforward. First, the resonant frequency of the LC output filter could be derived from fr = 1 = 11.6kHz 2 π√ L1COUT The values and references used in all the calcula- tions agree with the schematic shown in Figure 3. Select values of R2, C1, RZ and CZ to place two zeros below or equal to the LC resonant fre- quency. Those two zeros are located at: fZ1 = 1 = 6kHz 2 πR2C1 fZ2 = 1 = 11.7kHz 2 πRZCZ There is low frequency pole determined by both the error amplifier gain and feedback gain. It occurs at fP1 = 1 = 3.25Hz 2 π(R2 // R3)CZGMROUT In SP6123, GM (error amplifier transconductance) and ROUT (error amplifier output impedance) are specified at 0.6ms and 3M Ω, respectively. For frequencies above the second zero fZ2, the feedback gain rises at 20dB/dec and is equal to AFB = 2 πfRZC1 However, the error amplifier gain AEA declines at -20dB/dec due to CP. AEA = GM 2 πfCP When AFB is less than AEA, the compensated error amplifier gain is dominated by AFB. As a result, it shows up as a positive 20dB/dec slope. However, when the rising AFB crosses the fall- ing AEA at one particular frequency, the com- pensated error amplifier gain is now solely de- termined by AEA. Therefore, the 20dB/dec slope is converted to a -20dB/dec slope, and the bode plot demonstrates a double pole at this fre- quency which is equal to fP2 = 1GM = 221kHz 2 π CPC1RZ Select CP such that fP2 is located at least a decade higher than the crossover frequency. As shown in Figure 4, this type III compensation generates a close loop system with 50 degree phase margin and crossover frequency at 20kHz. This ensures a stable regulated power supply with tight DC regulation and fast transient response. Figure 4. Bode Plot for schematic shown in Figure 3. V IN = 3.3V and VOUT = 1.6V, no load. -100 10Hz 100Hz 100Hz 1.0kHz 10kHz 1.0MHz 10MHz Gain Phase Frequency 200 100 0 -200 APPLICATIONS INFORMATION |
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