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AN1049 데이터시트(PDF) 19 Page - STMicroelectronics

부품명 AN1049
상세설명  MINIMIZE POWER LOSSES OF LIGHTLY LOADED FLYBACK
PDF  24 Pages
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제조업체  STMICROELECTRONICS [STMicroelectronics]
홈페이지  http://www.st.com
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AN1049 데이터시트(HTML) 19 Page - STMicroelectronics

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obviously, DCM will take place for Pin < PinT and
CCM for Pin > PinT. This equation can be rewritten
as follows:
PinT
=
VE
2
2
⋅ ZE
(A6)
by defining the "Equivalent Input Voltage" (VE) and
the "Equivalent Primary Impedance" (ZE):
VE
=
Vin
1
+
Vin
VR
;
ZE
= fSW ⋅ Lp
(A7).
VE is a function of Vin only (see fig. A2), since the
reflected voltage (VR) is fixed. The variation of VE in
its range [VEmin , VEmax ], which depends on the
mains voltage range, in turn defines the range of
PinT [PinTmin ,PinTmax].
Fig. A3 shows the diagram of (A6) while Tab. A1
presents the ranges of VE relevant to typical mains
voltage ranges, as well as the corresponding
PinTmax / PinTmin ratios.
To complete the characterization of the transition
between DCM and CCM it is convenient to define
the Transition Voltage (VET), that is the Equivalent
Input Voltage at
which the operation is on the
boundary between DCM and CCM, for a given Pin
and a given ZE:
VET
= √
2
⋅ ZE ⋅ Pin
(A8).
DCM will take place for VE > VET and CCM for VE <
VET.
In synchronized converters it is possible to define
also the Transition Frequency (fT), that is the switch-
ing frequency at which the operation is on the
boundary between DCM and CCM, for a given VE and a given Pin:
fT
=
VE
2
2
⋅ Lp ⋅ Pin
(A9).
DCM will take place for fsw < fT and CCM for fsw > fT.
The peak primary current at transition is then:
Ippk(T) =
√
2
⋅ PinT
fSW
⋅ Lp
=
1
fSW
⋅ Lp
⋅
Vin
1
+
Vin
VR
=
VE
ZE
(A9).
In case of CCM operation, equation (A4) still applies but the timing relationships (A2) change as follows:
TON
=
Lp
⋅ ∆Ip
Vin
; TFW
= T − TON =
Lp
⋅ ∆Ip
VR
(A10),
where
∆Ip is the primary current ripple.
n
• Vout
VE
Vinmin
Vinmax
VEmax
VEmin
Vin
Figure A2. Equivalent Input Voltage vs. DC
Input Voltage
VE
PinT
VEmin
VEmax
Pin
VET
fsw
Figure A3. Characterization of the
transi-
tion DCM
⇐⇒ CCM
AN1049 APPLICATION NOTE
19/24



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