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LM3406 Datasheet(PDF) 10 Page - Texas Instruments |
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LM3406 Datasheet(HTML) 10 Page - Texas Instruments |
10 / 38 page ![]() fSW = 1 1 x 10 -11 x RON LM3406, LM3406HV, LM3406HV-Q1 SNVS512E – SEPTEMBER 2008 – REVISED MARCH 2014 www.ti.com 8.3 SWITCHING FREQUENCY The LM3406 family does not contain a clock, however the on-time is modulated in proportion to both input voltage and output voltage in order to maintain a relatively constant frequency. On-time tON, duty cycle D and switching frequency fSW are related by the following expression: fSW = D / tON (2) D = (VO + VD) / (VIN - VSW + VD) (3) VD = Schottky diode (typically 0.5V) (4) VSW = IF x RDSON (5) The LM3406 family regulators should be operated in continuous conduction mode (CCM), where inductor current stays positive throughout the switching cycle. During steady-state CCM operation, the converter maintains a constant switching frequency that can be estimated using the following equation (for the most accurate version, particularly for applications that will have an input or output voltage of less than approximately 12V, see the Appendix): (6) (7) 8.4 SETTING LED CURRENT LED current is set by the resistor RSNS, which can be determined using the following simple expression due to the output averaging: RSNS = 0.2 / IF (8) 8.5 MAXIMUM NUMBER OF SERIES LEDS LED driver designers often want to determine the highest number of LEDs that can be driven by their circuits. The limit on the maximum number of series LEDs is set by the highest output voltage, VO-MAX, that the LED driver can provide. A buck regulator cannot provide an output voltage that is higher than the minimum input voltage, and in pratice the maximum output voltage of the LM3406 family is limited by the minimum off-time as well. VO- MAX determines how many LEDs can be driven in series. Referring to the illustration in , output voltage is calculated as: VO-MAX = VIN-MIN x (1 - fSW x tOFF-MIN) (9) tOFF-MIN = 230 ns Once VO-MAX has been calculated, the maximum number of series LEDs, nMAX, can be calculated by the following espression and rounding down: nMAX = VO-MAX / VF (10) VF = forward voltage of each LED At low switching frequency VO-MAX is higher, allowing the LM3406 family to regulate output voltages that are nearly equal to input voltage, and this can allow the system to drive more LEDs in series. Low switching frequencies are not always desireable, however, because they require larger, more expensive components. 8.6 CALCULATING OUTPUT VOLTAGE Even though output current is the controlled parameter in LED drivers, output voltage must still be calculated in order to design the complete circuit. Referring to the illustration in , output voltage is calculated as: VO = n x VF + VSNS (11) VSNS = sense voltage of 200 mV, n = number of LEDs in series 10 Submit Documentation Feedback Copyright © 2008–2014, Texas Instruments Incorporated Product Folder Links: LM3406 LM3406HV LM3406HV-Q1 |
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