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LTC4449 Datasheet(PDF) 47 Page - Linear Technology |
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LTC4449 Datasheet(HTML) 47 Page - Linear Technology |
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47 / 108 page ![]() LTC3882-1 47 Rev A For more information www.analog.com APPLICATIONS INFORMATION fC = crossover frequency = fPWM 10 fZ1(ERR) = fLC = 1 2πR2C1 fZ2(RES) = fC 5 = 1 2π(R1+ R3)C3 fP1(ERR) = fESR = 1 2πR2(C1//C2) fP2(RES) = 5fC = 1 2πR3C3 Required error amplifier gain at frequency fC is: ≈ 40log 1+ fC fLC ⎛ ⎝⎜ ⎞ ⎠⎟ 2 – 20log 1+ fC fESR ⎛ ⎝⎜ ⎞ ⎠⎟ 2 – 15.56 Once the value of resistor R1 (function of selected VOUT range) and pole/zero locations have been decided, the value of R2, C1, C2, R3 and C3 can be obtained from the previous equations. Compensating a switching power supply feedback loop is a complex task. The applications shown in this data sheet providetypicalvalues,optimizedforthepowercomponents shown.Thoughsimilarpowercomponentsshouldsuffice, substantially changing even one major power component may degrade performance significantly. Stability also may depend on circuit board layout. To verify the calculated component values, all new circuit designs should be prototyped and tested for stability. The LTPowerCAD software tool can be used as a guide through the entire power supply design process, includ- ing optimization of circuit component values according to system requirements. PCB Layout Considerations To prevent magnetic and electrical field radiation or high frequency resonant problems and to ensure correct IC operation, proper layout of the components connected to the LTC3882-1 is essential. Refer to Figure 24, which also illustrates current waveforms typically present in the circuit branches. RSENSE will be replaced with a dead short ifDCRsensingisused.Formaximumefficiency,theswitch Theexternalinductor/outputcapacitorcombinationmakes a more significant contribution to loop behavior. These componentscausea2ndorderamplituderoll-offthatfilters the PWM waveform, resulting in the desired DC output voltage. But the additional 180° phase shift produced by this filter causes stability issues in the feedback loop and must be frequency compensated. At higher frequencies, the reactance of the output capacitor will approach its ESR, and the roll-off due to the capacitor will stop, leaving –20dB/decade and 90° of phase shift. The transfer function of the Type 3 circuit shown in Figure 22 is given by the following equation: VCOMP VOUT = –(1+ sC1R2)[1+ s(R1+ R3)C3] sR1(C1+ C2)[1+ s(C1//C2)R2](1+ sC3R3) The RC network across the error amplifier and the feed- forward components R3 and C3 introduce two pole-zero pairs to obtain a phase boost at the system unity-gain (crossover)frequency,fC.Intheory,thezerosandpolesare placedsymmetricallyaroundfC,andthespreadbetweenthe zeros and the poles is adjusted to give the desired phase boostatfC.However,inpractice,ifthecrossoverfrequency is much higher than the LC double-pole frequency, this method of frequency compensation normally generates a phase dip within the unity bandwidth and creates some concern regarding conditional stability. If conditional stability is a concern, move the error ampli- fier zero to a lower frequency to avoid excessive phase dip. The following equations can be used to compute the feedback compensation component values: fLC = 1 2π LCOUT fESR = 1 2πRESRCOUT choose: |
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