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LM3421 Datasheet(PDF) 18 Page - Texas Instruments |
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LM3421 Datasheet(HTML) 18 Page - Texas Instruments |
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18 / 72 page ![]() FREQUENCY (Hz) 80 60 40 20 0 -20 -40 -60 -80 90 45 0 -45 -90 -135 -180 -225 -270 1e-1 1e1 1e3 1e5 1e7 GAIN 60°Phase Margin PHASE öP2 öP3 öP1 öZ1 x = 0 U T T - 1 ¸ ¸ ¹ · ¨ ¨ © § s Z 1 Z x x + 1 ¸ ¸ ¹ · ¨ ¨ © § s Z 3 P + 1 ¸ ¸ ¹ · ¨ ¨ © § s Z 2 P + 1 ¸ ¸ ¹ · ¨ ¨ © § s Z 1 P 1 3 P = Z FS FS C R x P2 6 CMP 1 5 10 C Z u u LM3421, LM3421-Q1, LM3423, LM3423-Q1 SNVS574F – JULY 2008 – REVISED JULY 2015 www.ti.com Feature Description (continued) 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 17), 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) as demonstrated in Equation 16. (16) It may also be necessary to add one final pole at least one decade above the crossover frequency to attenuate switching noise and, in some cases, provide better gain margin. This pole can be placed across RSNS to filter the ESL of the sense resistor at the same time. Figure 18 shows how the compensation is physically implemented in the system. The high-frequency pole ( ωP3) can be calculated using Equation 17. (17) The total system transfer function becomes: (18) The resulting compensated loop gain frequency response shown in Figure 19 indicates that the system has adequate phase margin (above 45°) if the dominant compensation pole is placed low enough, ensuring stability. Figure 19. Compensated Loop Gain Frequency Response 7.3.9 Start-Up Regulator The LM34xx-Q1 includes a high voltage, low dropout bias regulator. When power is applied, the regulator is enabled and sources current into an external capacitor (CBYP) connected to the VCC pin. The recommended bypass capacitance for the VCC regulator is 2.2 µF to 3.3 µF. The output of the VCC regulator is monitored by an internal UVLO circuit that protects the device from attempting to operate with insufficient supply voltage and the supply is also internally current limited. Figure 20 shows the typical start-up waveforms for the LM34xx-Q1. 18 Submit Documentation Feedback Copyright © 2008–2015, Texas Instruments Incorporated Product Folder Links: LM3421 LM3421-Q1 LM3423 LM3423-Q1 |
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