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LT1372 датащи(PDF) 20 Page - Linear Technology |
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LT1372 датащи(HTML) 20 Page - Linear Technology |
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20 / 24 page ![]() 20 LT1506 APPLICATIONS INFORMATION cases, the resistor may have to be larger to get acceptable phase response, and some means must be used to control ripple voltage at the VC pin. The suggested way to do this is to add a capacitor (CF) in parallel with the RC/CC network on the VC pin. Pole frequency for this capacitor is typically set at one-fifth of switching frequency so that it provides significant attenuation of switching ripple, but does not add unacceptable phase shift at loop unity-gain frequency. With RC = 3k, C fR k pF F C = ()( )( )= () = 5 2 5 2 500 10 3 531 3 π π • How Do I Test Loop Stability? The “standard” compensation for LT1506 is a 1.5nF capacitor for CC, with RC = 0. While this compensation will work for most applications, the “optimum” value for loop compensation components depends, to various extent, on parameters which are not well controlled. These include inductor value ( ±30% due to production tolerance, load current and ripple current variations), output capacitance ( ±20% to ±50% due to production tolerance, tempera- ture, aging and changes at the load), output capacitor ESR ( ±200% due to production tolerance, temperature and aging), and finally, DC input voltage and output load current . This makes it important for the designer to check out the final design to ensure that it is “robust” and tolerant of all these variations. I check switching regulator loop stability by pulse loading the regulator output while observing transient response at the output, using the circuit shown in Figure 13. The regulator loop is “hit” with a small transient AC load current at a relatively low frequency, 50Hz to 1kHz. This causes the output to jump a few millivolts, then settle back to the original value, as shown in Figure 14. A well behaved loop will settle back cleanly, whereas a loop with poor phase or gain margin will “ring” as it settles. The number of rings indicates the degree of stability, and the frequency of the ringing shows the approximate unity-gain fre- quency of the loop. Amplitude of the signal is not particu- larly important, as long as the amplitude is not so high that the loop behaves nonlinearly. GMP = Transconductance of power stage = 5.3A/V GMA = Error amplifier transconductance = 2(10–3) ESR = Output capacitor ESR 2.42 = Reference voltage With VOUT = 5V and ESR = 0.03Ω, a value of 6.5k for RC would yield zero gain margin, so this represents an upper limit. There is a second limitation however which has nothing to do with theoretical small signal dynamics. This resistor sets high frequency gain of the error amplifier, including the gain at the switching frequency. If switching frequency gain is high enough, output ripple voltage will appear at the VC pin with enough amplitude to muck up proper operation of the regulator. In the marginal case, subharmonic switching occurs, as evidenced by alternat- ing pulse widths seen at the switch node. In more severe cases, the regulator squeals or hisses audibly even though the output voltage is still roughly correct. None of this will show on a theoretical Bode plot because Bode is an amplitude insensitive analysis. Tests have shown that if ripple voltage on the VC is held to less than 100mVP-P, the LT1506 will be well behaved. The formula below will give an estimate of VC ripple voltage when RC is added to the loop, assuming that RC is large compared to the reactance of CC at 500kHz. V R G V V ESR VL f C RIPPLE C MA IN OUT IN ( ) = ()( ) − ()( )( ) ()( )( ) 24 . GMA = Error amplifier transconductance (2000µMho) If a computer simulation of the LT1506 showed that a series compensation resistor of 3k gave best overall loop response, with adequate gain margin, the resulting VC pin ripple voltage with VIN = 10V, VOUT = 5V, ESR = 0.1Ω, L = 10 µH, would be: V k V C RIPPLE ( ) − − = () − ()( )( ) () = 3 2 10 10 5 0 1 2 4 10 10 10 500 10 0 144 3 63 •. . •• . This ripple voltage is high enough to possibly create subharmonic switching. In most situations a compromise value (< 2k in this case) for the resistor gives acceptable phase margin and no subharmonic problems. In other |
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