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MIC3205 Datasheet(PDF) 13 Page - Micrel Semiconductor |
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MIC3205 Datasheet(HTML) 13 Page - Micrel Semiconductor |
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13 / 23 page ![]() Micrel, Inc. MIC3205 October 2012 13 M9999-102312-A tr is the MOSFET ON-time L is the inductor For falling inductor current (MOSFET is off): L_FALL L f V I L t Eq. 5 where: VL_FALL = VD + ILED × RCS VLED VD is the freewheeling diode forward drop tf is the MOSFET OFF-time Operating frequency and time period are given by: T 1 FSW Eq. 6 Eq. 7 f r t t T Using Equations 3, 4, 5, 6, and 7: SW D IN CS LED CS LED D LED CS LED IN HYS F L ) V V ( R ) V R I (V ) V - R I - (V V Eq. 8 The value of ∆VHYS calculated in this way must be between 40mV and 100mV to ensure frequency regulation. Inductor According to the above equations, the inductor value can be calculated once average LED current, operating frequency and an appropriate hysteresis ∆VHYS value have been chosen. Thus, inductor L is given by: SW HYS D IN CS LED CS LED D LED CS LED IN F V ) V V ( R ) V R I (V ) V - R I - (V L Eq. 9 Table 2, Table 3, and Table 4 give reference inductor values for an operating frequency of 400 kHz, for a given LED current, freewheeling diode forward drop, and number of LEDs. By selecting ∆VHYS in the 55mV to 75mV range, we get the following inductor values: RCS (Ω) ILED (A) VIN (V) L (µH) ∆VHYS (mV) 0.56 0.35 5 22 64.1 0.56 0.35 12 68 57.7 0.28 0.7 5 10 70.5 0.28 0.7 12 33 59.4 0.2 1.0 5 6.8 72.6 0.2 1.0 12 22 62.4 0.1 2.0 5 3.6 68.5 0.1 2.0 12 10 68.6 Table 2. Inductor for FSW = 400 kHz, VD = 0.4V, 1 LED RCS (Ω) ILED (A) VIN (V) L (µH) ∆VHYS (mV) 0.56 0.35 24 150 55.8 0.56 0.35 36 220 56.8 0.28 0.7 24 68 61.6 0.28 0.7 36 100 62.5 0.2 1.0 24 47 62.4 0.2 1.0 36 68 64.3 0.1 2.0 24 22 66.6 0.1 2.0 36 33 66.2 Table 3. Inductor for FSW = 400 kHz, VD = 0.4V, 4 LED RCS (Ω) ILED (A) VIN (V) L (µH) ∆VHYS (mV) 0.56 0.35 36 150 58.4 0.56 0.35 40 220 54.3 0.28 0.7 36 68 64.4 0.28 0.7 40 100 59.6 0.2 1.0 36 47 65.2 0.2 1.0 40 68 61.4 0.1 2.0 36 22 69.6 0.1 2.0 40 33 63.3 Table 4. Inductor for FSW = 400 kHz, VD = 0.4V, 8 LED Given an inductor value, the size of the inductor can be determined by its RMS and peak current rating. Because LEDs are in series with the inductor, LED L I I Eq. 10 From Equations 1, 3, and 10: 200m V I I HYS L L Eq. 11 |
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