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S8355 Datasheet(PDF) 26 Page - Seiko Instruments Inc |
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S8355 Datasheet(HTML) 26 Page - Seiko Instruments Inc |
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26 / 72 page ![]() STEP-UP, SUPER-SMALL PACKAGE, 600 kHz, PWM CONTROL or PWM/PFM SWITCHABLE SWITCHING REGULATOR CONTROLLER S-8355/56/57/58 Series Rev.8.1_01 26 Integration of the equation (6) is as follows : t L V V V I I IN D OUT PK L • − + − = (7) During tON, the energy is stored in L and is not transmitted to VOUT. When receiving the output current (IOUT) from VOUT, the energy of the capacitor (CL) is consumed. 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 through the diode to CL, and the voltage of CL rises rapidly. VOUT is a time function, and therefore indicates the maximum value (ripple voltage (VP−P) ) when the current flowing through into VOUT and load current (IOUT) match. Next, the 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 OFF (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) Electric 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 t 2 I I t I I 2 1 I 1 Q • + = • − − = Δ (13) A rise in voltage (VP−P) due to ΔQ 1 : 1 OUT PK L L 1 P P t 2 I I C 1 C Q ∆ V • + • = = − (14) When taking into consideration IOUT to be consumed during t1 and the Equivalent Series Resistance (RESR) of CL : L 1 OUT ESR OUT PK OUT PK L L 1 P P C t I R 2 I I 1 t 2 I I C 1 C Q V • − • + + • + • = Δ = − (15) When substituting equation (11) for equation (15) : ESR OUT PK L OFF PK 2 OUT PK P P R 2 I I C t I 2 ) I I ( V • + + • − = − (16) Therefore to reduce the ripple voltage, it is important that the capacitor connected to the output pin has a large capacity and a small RESR. |
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