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LM3406 Datasheet(PDF) 24 Page - Texas Instruments |
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LM3406 Datasheet(HTML) 24 Page - Texas Instruments |
24 / 38 page ![]() LM3406, LM3406HV, LM3406HV-Q1 SNVS512E – SEPTEMBER 2008 – REVISED MARCH 2014 www.ti.com Design Example 1 (continued) A 2A-rated diode will be used. To determine the proper case size, the dissipation and temperature rise in D1 can be calculated as shown in the Design Considerations section. VD for a case size such as SMB in a 40V, 2A Schottky diode at 1.5A is approximately 0.4V and the θJA is 75°C/W. Power dissipation and temperature rise can be calculated as: PD = 1.28 x 0.4 = 512 mW TRISE = 0.51 x 75 = 38°C (49) 8.3.7 CB, CC AND CF The bootstrap capacitor CB should always be a 22 nF ceramic capacitors with X7R dielectric. A 25V rating is appropriate for all application circuits. The COMP pin capacitor CC and the linear regulator filter capacitor CF should always be 100 nF ceramic capacitors, also with X7R dielectric and a 25V ratings. 8.3.8 EFFICIENCY To estimate the electrical efficiency of this example the power dissipation in each current carrying element can be calculated and summed. Electrical efficiency, η, should not be confused with the optical efficacy of the circuit, which depends upon the LEDs themselves. One calculation will be detailed for three LEDs in series, where VO = 11.8V, and these calculations can be repeated for other numbers of LEDs. Total output power, PO, is calculated as: PO = IF x VO = 1.54 x 11.8 = 18.2W (50) Conduction loss, PC, in the internal MOSFET: PC = (IF 2 x R DSON) x D = (1.54 2 x 0.75) x 0.5 = 890 mW (51) Gate charging and VCC loss, PG, in the gate drive and linear regulator: PG = (IIN-OP + fSW x QG) x VIN PG = (600 x 10 -6 + 5 x 105 x 9 x 10-9) x 24 = 122 mW (52) Switching loss, PS, in the internal MOSFET: PS = 0.5 x VIN x IF x (tR + tF) x fSW PS = 0.5 x 24 x 1.54 x 40 x 10 -9 x 5 x 105 = 370 mW (53) AC rms current loss, PCIN, in the input capacitor: PCIN = IIN(rms) 2 x ESR = 0.752 0.003 = 2 mW (negligible) (54) DCR loss, PL, in the inductor PL = IF 2 x DCR = 1.542 x 0.06 = 142 mW (55) Recirculating diode loss, PD = (1 - 0.5) x 1.54 x 0.4 = 300 mW Current Sense Resistor Loss, PSNS = 293 mW Electrical efficiency, η = PO / (PO + Sum of all loss terms) = 18.2 / (18.2 + 2.1) = 89% Temperature Rise in the LM3406 IC is calculated as: TLM3406 = (PC + PG + PS) x θJA = (0.89 + 0.122 + 0.37) x 50 = 69°C (56) 8.4 Design Example 2 The second example circuit uses the LM3406 to drive a single white LED at 1.5A ±10% with a ripple current of 20%P-P in a typical 12V automotive electrical system. The two-wire dimming function will be employed in order to take advantage of the legacy 'theater dimming' method which dims and brightens the interior lights of automobiles by chopping the input voltage with a 200Hz PWM signal. As with the previous example, the typical VF of a white LED is 3.9V, and with the current sense voltage of 0.2V the total output voltage will be 4.1V. The LED driver must operate to specifications over an input range of 9V to 16V as well as operating without suffering damage at 28V for two minutes (the 'double battery jump-start' test) and for 300 ms at 40V (the 'load-dump' test). The LED driver must also be able to operate without suffering damage at inputs as low as 6V to satisfy the 'cold crank' tests. A complete bill of materials can be found in Table 2 at the end of this datasheet. 24 Submit Documentation Feedback Copyright © 2008–2014, Texas Instruments Incorporated Product Folder Links: LM3406 LM3406HV LM3406HV-Q1 |
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