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PI3546-00-LGIZ Datasheet(PDF) 27 Page - Vicor Corporation |
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PI3546-00-LGIZ Datasheet(HTML) 27 Page - Vicor Corporation |
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27 / 37 page  discontinuous and continuous modes is reached, the powertrain changes frequency to remain in critical conduction mode. This mode of operation allows the PI354x-00 product family to have a very simple compensation scheme, as the control to output transfer function always has a slope of -1. In addition, when critical conduction is reached, the voltage controlled current source becomes nearly ideal with a high output equivalent resistance. The control to output transfer function of the PI354x-00 product family is defined as the gain from the output of the error amplifier , through the modulator and to the output voltage. The transfer function equation is shown in Equation (3), where gMOD is assumed to be 7S, rEQ = 0.4 Ohms, COUT = 600 μF and Rload = 1 Ohm: The Control-Output transfer function (also known as the small signal modulator gain) has a single pole response determined by the parallel combination of Rload and rEQ and the output capacitor Cout. Equation (4) determines the frequency of the modulator pole: Figure 55 depicts the small signal response of the modulator when perturbing EAO and measuring the differential gain and phase from EAO to VOUT. Error Amplifier The small signal model of the error amplifier and compensator is shown in Figure 56. The error amplifier is a trans-conductance amplifier (TCA). The transfer function is shown in Equation (5), where in this example R1 = 2.3k, R2 = 1k, GMeao = 5.1mS, ROUT = 1Meg, Chf = 56 pF, Ccomp = 4.7 nF and Rzi = 5 k. Here it is important to note that the external components are Ccomp, R1 and R2. The other components are internal to each specific model. See the data tables section “Soft Start, Tracking And Error Amplifier” for details. Cool-Power® Rev 1.3 vicorpower.com Page 27 of 37 02/2016 800 927.9474 PI354x-00 Figure 54 — PI354X Small Signal Model Control-Output Veao Rload Cout rEQ gMOD Vout Figure 55 — PI354X Control-Output Gain/Phase Example 1 10 100 1000 10000 100000 60 40 20 0 20 100 80 60 40 20 0 Gain - dBV Phase-Degrees Frequency- Hz Figure 56 — PI354X Error Amplifier Model Rzi Veao GMeao Ccomp Rout Chf Vout R1 R2 Figure 57 — PI354X Input-Control Gain/Phase 1 10 100 1000 10000 100000 1000000 20 40 60 80 100 80 60 40 20 0 Gain - dBV Phase-Degrees Frequency- Hz Gco(s) = (3) gMOD 1 Rload 1 rEQ + + s (C OUT) Fpmod = (4) 1 Rload • rEQ Rload + rEQ 2 • π • • C OUT |
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