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S-8337ACDB-P8T1G Datasheet(PDF) 15 Page - Seiko Instruments Inc |
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S-8337ACDB-P8T1G Datasheet(HTML) 15 Page - Seiko Instruments Inc |
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15 / 51 page  STEP-UP, 1.2 MHz HIGH-FREQUENCY, PWM CONTROL SWITCHING REGULATOR CONTROLLER Rev.4.0_01 S-8337/8338 Series 15 Change in current (IL) flowing through the diode into VOUT during tOFF: L V V V L V dt dl IN D OUT L L − + = = …………………………………………………………..…………………(6) Integration of the above equation is as follows: t L V V V I I IN D OUT PK L • − + − = …………………………………………………………………………(7) During tON, energy is stored in L and is not transmitted to VOUT. When receiving output current (IOUT) from VOUT, the energy of the capacitor (CL) is used. As a result, the pin voltage of CL is reduced, and goes to the lowest level after M1 is turned ON (tON). When M1 is turned OFF, the energy stored in L is transmitted via the diode to CL, and the pin voltage of CL rises drastically. Because VOUT is a time function indicating the maximum value (ripple voltage: Vp-p) when the current flowing through the diode into VOUT and the load current IOUT match. Next, this ripple voltage is determined as follows. IOUT vs t1 (time) from when M1 is turned OFF (after tON) to when VOUT reaches the maximum level: 1 IN D OUT PK OUT t L V V V I I • − + − = ………………………………………………….………………...…(8) () − + • − = ∴ IN D OUT OUT PK 1 V V V L I I t ……………………………………………………………...…...(9) When M1 is turned ON (after tOFF), IL = 0 (when the energy of the inductor is completely transmitted): Based on equation (7), PK OFF IN D OUT I t V V V L = − + …………………………………………………………………..………….(10) When substituting equation (10) for equation (9): OFF PK OUT OFF 1 t I I t t • − = …………………………………………………………………………………(11) Electrical charge ΔQ1 which is charged in CL during t1: 2 1 IN D OUT 1 PK 1 t 0 IN D OUT 1 t 0 PK L 1 t 0 1 t 2 1 L V V V t I tdt L V V V dt I dt I Q • − + − • = • − + − • = = Δ ……….…...(12) When substituting equation (12) for equation (9): () 1 OUT PK 1 OUT PK PK 1 t 2 I I t I I 2 1 I Q • + = • − − = Δ …………………………………………………….…….(13) A rise voltage (Vp-p) due to ΔQ1: 1 OUT PK L L 1 p p t 2 I I C 1 C Q V • + • = Δ = − …………………………………………………………..……………(14) When taking into consideration IOUT consumed during t1 and ESR*1 (RESR) of CL: L 1 OUT ESR OUT PK 1 OUT PK L L 1 p p C t I R 2 I I t 2 I I C 1 C Q V • − • + + • + • = Δ = − …………….………………….(15) *1. Equivalent Series Resistance |
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