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AN1049 Datasheet(PDF) 18 Page - STMicroelectronics |
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AN1049 Datasheet(HTML) 18 Page - STMicroelectronics |
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18 / 24 page ![]() When the switch turns off, the primary circuit is open and the energy stored in the primary is transferred to the secondary by magnetic coupling. The catch diode is forward-biased, and the energy is delivered to the output capacitor and to the load (recirculation). The output voltage is reflected back to the primary through the turns ratio and adds up to the input voltage (typically, the filtered rectified mains), giving ori- gin to a much higher voltage on the drain of the MOSFET. Flyback topology is operating in DCM (Discontinuous Conduction Mode) when the input -or primary - current starts from zero at the beginning of a given switching cycle. This happens because the secon- dary of the transformer has discharged all the energy stored in the previous period. If this energy trans- fer is not complete, then the primary current will start from a value greater than zero at the beginning of each cycle. Then the flyback is said to be operating in CCM (Continuous Conduction Mode). DCM is characterized by currents shaped in a triangular fashion, whereas CCM features trapezoidal currents (see fig. A1). The boundary between these two types of operation depends on several parameters. Some of them are structural, that is parameters that identify the flyback converter: inductance of the primary of the trans- former, transformer turns ratio and regulated output voltage. Others are related to the external world and are subject to changes: input voltage and output load. The switching frequency is usually a structural pa- rameter, unless it is synchronized to an external signal. As to flyback topology operating in DCM, the relationship between the peak input current (Ippk) and the input power (Pin) is: Ippk(DCM) = √ 2 ⋅ Pin Lp ⋅ fsw (A1). where Lp is the inductance of the primary of the transformer and fsw the switching frequency. The point is: in a given flyback, when operating in DCM, the peak input current depends solely on the power drawn from the input. The conduction time (TON, during which the MOSFET is ON) and the recirculation time (TFW, during which the MOSFET is OFF and the catch diode is conducting) are respectively: TON = Lp ⋅ Ippk(DCM) Vin ; TFW = Lp ⋅ Ippk(DCM) n ⋅ (Vout + VF) (A2) where Vin is the DC input voltage and n the primary-to-secondary turns ratio, Vout the regulated output voltage and VF the forward drop across the catch diode. The quantity n • (Vout + VF) is the voltage reflected back to the primary during the recirculation at the secondary. In the following will be indicated with VR: VR = n ⋅ (Vout + VF) (A3). Under the assumption of DCM, the sum of TON and TFW is less than the switching period T=1 / fsw. The transition between DCM and CCM implies: TON + TFW = T (A4) and, by combining equations (A1), (A2), (A3) in (A4), it is possible to determine the "Transition Power" (PinT), that is the maximum input power at which a given flyback works in DCM (or rather the minimum input power at which it works in CCM) for a given input voltage (and a given switching frequency, if this can vary): PinT = 1 2 ⋅ fsw ⋅ Lp ⋅ Vin 1 + Vin VR 2 (A5); AN1049 APPLICATION NOTE 18/24 |
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