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LM3421 Datasheet(PDF) 17 Page - Texas Instruments |
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LM3421 Datasheet(HTML) 17 Page - Texas Instruments |
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17 / 65 page ![]() RSNS ILED RHSP RHSN HSN HSP High-Side Sense Amplifier CSH 1.24V CCMP RCSH COMP Error Amplifier VSNS To PWM Comparator LM3421/23 CFS RFS sets öP3 RO sets öP2 FREQUENCY (Hz) 100 80 60 40 20 0 -20 -40 -60 135 90 45 0 -45 -90 -135 -180 -225 1e-1 1e1 1e3 1e5 1e7 0°Phase Margin öP1 PHASE GAIN öZ1 = D r 2 D c x 1 Z Z L1 D x LM3421, LM3421-Q1 LM3423, LM3423-Q1 www.ti.com SNVS574D – JULY 2008 – REVISED SEPTEMBER 2011 And the right half plane zero ( ωZ1) is: (18) Figure 22. Uncompensated Loop Gain Frequency Response Figure 22 shows the uncompensated loop gain in a worst-case scenario when the RHP zero is below the output pole. This occurs at high duty cycles when the regulator is trying to boost the output voltage significantly. The RHP zero adds 20dB/decade of gain while loosing 45°/decade of phase which places the crossover frequency (when the gain is zero dB) extremely high because the gain only starts falling again due to the high frequency pole (not modeled or shown in figure). The phase will be below -180° at the crossover frequency which means there is no phase margin (180° + phase at crossover frequency) causing system instability. Even if the output pole is below the RHP zero, the phase will still reach -180° before the crossover frequency in most cases yielding instability. Figure 23. Compensation Circuitry To mitigate this problem, a compensator should be designed to give adequate phase margin (above 45°) at the crossover frequency. A simple compensator using a single capacitor at the COMP pin (CCMP) will add a dominant pole to the system, which will ensure adequate phase margin if placed low enough. At high duty cycles (as shown in Figure 22), the RHP zero places extreme limits on the achievable bandwidth with this type of compensation. However, because an LED driver is essentially free of output transients (except catastrophic failures open or short), the dominant pole approach, even with reduced bandwidth, is usually the best approach. The dominant compensation pole ( ωP2) is determined by CCMP and the output resistance (RO) of the error amplifier (typically 5 M Ω): Copyright © 2008–2011, Texas Instruments Incorporated Submit Documentation Feedback 17 Product Folder Links: LM3421 LM3421-Q1 LM3423 LM3423-Q1 |
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