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(title "Backlight Boost Converter")
2025-08-14 03:02:10 +02:00
(date "2025-08-14")
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2025-08-04 02:12:47 +02:00
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2025-08-05 14:29:07 +02:00
(text "Boost converter for the LCD's backlight"
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2025-08-04 02:12:47 +02:00
(text "The +5V rail has a pull-down resistor."
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2025-08-05 14:29:07 +02:00
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(text "The gate is basically a capacitor.\nWhen the capacitor is empty,\nand we apply current to it,\nit will act as a short.\nThis could damage the components\nproviding the current.\nHere, we limit the current to 40 mA\nby using a resistor with R > 3.3 V / 40 mA."
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2025-08-05 14:29:07 +02:00
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2025-08-05 03:12:42 +02:00
(text "Target: 40.8 Ohm"
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(text "R = 204 mV / I"
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(text "The spec for the LED says the max current is 20 mA,\nbut it is likely to support up to 25 mA.\nAdditionally, we provide +25 mA and +50 mA options\nfor alternative displays."
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2025-08-05 14:29:07 +02:00
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(text "Target: 4.08 Ohm"
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(text "Target: 10.2 Ohm"
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2025-08-05 14:29:07 +02:00
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2025-08-04 02:12:47 +02:00
(text "P = U * I\n = (18 V) * (20 mA)\n = 0.36 W\n\nΔT = R_{θJA} * P\n = (100 °C/W) * (0.36 W)\n = 36 °C above ambient"
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2025-08-05 14:29:07 +02:00
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2025-08-04 02:12:47 +02:00
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2025-08-04 23:11:22 +02:00
(text "V_{IN} = 3.3 V (worst case)\nV_{OUT} = 24 V\nI_{OUT} = 100 mA\nη = 0.85 ... power conversion efficiency\nF_{S} = 1.2 MHz\nI_{L(DC)} = (V_{OUT} * I_{OUT}) / (V_{IN} * η)\n = (24 V * 100 mA) / (3.3 V * 0.85)\n = 0.855614973 A\n\nEstimate peak-to-peak current to compute the inductance of the inductor,\naccording to https://youtu.be/qd7qcZnV70o?t=507\nΔI_{L(P-P)} ~= 0.3 * I_{OUT} * V_{OUT} / V_{IN}\n = 0.3 * (100 mA) * (24 V) / (3.3 V)\n = 0.218181818 A\nL = V_{IN} * (V_{OUT} - V_{IN}) / (V_{OUT} * F_{S} * ΔI_{L(P-P)})\n = (3.3 V) * ((24 V) - (3.3 V)) / ((24 V) * 1.2 MHz * 0.218181818 A)\n = 10.8710938 uH\n\nRecompute the peak-to-peak current according to the data sheet of the TPS61169:\nΔI_{L(P-P)} = 1 / (L * (1 / (V_{OUT} - V_{IN}) + 1 / V_{IN}) * F_{S})\n = 1 / (10.8710938 uH * (1 / (24 V - 3.3 V) + 1 / (3.3 V)) * 1.2 MHz)\n = 0.218181817 A\n\nPeak output current:\nI_{L(P)} = I_{L(DC)} + ΔI_{L(P-P)} / 2\n = (0.855614973 A) + (0.218181817 A) / 2\n = 0.964705882 A\n\nV_{ripple} = 10 mV ... desired max output voltage ripple\nC_{OUT} = ((V_{OUT} - V_{IN}) * I_{OUT}) / (V_{OUT} * F_{S} * V_{ripple})\n = (((24 V) - (3.3 V)) * (100 mA)) / ((24 V) * (1.2 MHz) * (100 mV))\n = 0.71875 uF"
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2025-08-05 14:29:07 +02:00
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2025-08-04 23:11:22 +02:00
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2025-08-04 02:12:47 +02:00
(text "Enhancement NMOS"
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2025-08-05 14:29:07 +02:00
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(text "LED's are current-driven devices.\nTheir brightness is determined by\nthe current flowing through them.\nThe more LED's you have in series,\nthe lower the voltage will be at the input."
2025-08-03 21:54:53 +02:00
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2025-08-05 14:29:07 +02:00
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2025-08-05 03:12:42 +02:00
(text "Target: 8.16 Ohm"
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2025-08-05 14:29:07 +02:00
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