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LTC3124 Datasheet(PDF) 24 Page - Analog Devices |
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LTC3124 Datasheet(HTML) 24 Page - Analog Devices |
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24 / 36 page ![]() LT3120 24 Rev. 0 For more information www.analog.com APPLICATIONS INFORMATION bandwidth may be realizable while still maintaining stabil- ity and good transient response. In this example, we will use cross over frequency equal to one sixth of the RHPZ frequency (see Equation 28). fCC = fRHPZ 7 ≅6.2kHz (28) The RHPZ will have a negligible effect on the gain at the loop crossover, however it will have a phase contribution that must be considered (see Equation 29). ϕRHPZ = –1• tan–1 fcc fRHPZ ⎛ ⎝⎜ ⎞ ⎠⎟ = –1• tan–1 1 7 ⎛ ⎝⎜ ⎞ ⎠⎟ = –8.1 ° (29) Since the converter will be operating in boost mode, the GCS term must be scaled to represent the commanded output current. LookingintheTypicalCurvessection,wefindtheefficiency to be roughly 80%. Using this information, the effective output current gain can be calculated using Equation 30. GCS(OUT) = GCS • VIN 2VOUT •Eff ⎛ ⎝⎜ ⎞ ⎠⎟ = 3.265A V (30) Using this information, the gain and phase contributions from the output filter are calculated using Equation 31. GOUT =GCS(OUT) • RLOAD2 fCC fP1 ⎛ ⎝ ⎞ ⎠ 2 +1 = 1.098 ϕP1= –1• tan–1 fcc fP1 ⎛ ⎝⎜ ⎞ ⎠⎟ = –1• tan–1 6200 1273 ⎛ ⎝⎜ ⎞ ⎠⎟ = –78.4° (31) Choosing a phase margin of 50 degrees, the required phaseboostfromthecompensationnetworkisdetermined by summing together the phase contributions that were calculated in Equation 31. A phase contribution of –90° is assumed for P2. ϕZ1= 50–ϕP2 –ϕP1–ϕRHPZ –180 = 46.5° (32) The compensation network gain is used to adjust the loop gain to crossover at the desired frequency. Using the feedback divider gain and output gain, the compensation network gain is calculated using Equation 33 GCOMP = VREF VOUT •GOUT ⎛ ⎝⎜ ⎞ ⎠⎟ −1 = 5.727 (33) The compensation network resistor is then found using the error amplifier transconductance and the required compensation gain found in Equation 33. RZ = GCOMP gm = 5.727 120µs = 47.7kΩ (34) With the value of RZ now known, the compensation ca- pacitor can be chosen to place the zero Z1 in the correct location. CP1= tan ϕZ1 ( ) 2 π • fCC •RZ = 565pF (35) Selecting standard value components, values of RZ = 47.5kΩ and CP1 = 560pF are used. PCB Layout Considerations The LT3120 buck-boost converter switches large currents at high frequencies. Special attention should be paid to the PC board layout to ensure a stable, noise-free and efficient application circuit. Figure 11 shows a representative PCB to outline some of the primary considerations. A few key guidelines are provided below. 1. The parasitic inductance and resistance of all circulat- ing high current paths should be minimized. This can be accomplished by keeping the routes to all bold com- ponents in Figures 11 as short and as wide as possible. Capacitor ground connections should via down to the ground plane by way of the shortest route possible. The bypass capacitors on PVIN, PVOUT and VCC should be placed as close to the IC as possible and should have the shortest possible paths to ground. |
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