42W 变压器设计

Kv Vac_min = 1.64 ⌠ ⌡
π
)
Kv Vac_max = 2.279
(
)
sin( θ) 1 + Kv⋅ sin( θ) π
dθ
F1 function:
F1 Kv :=
( )
0
F1 Kv Vac_min ⌠ ⌡
π
( (
)) = 0.288
sin( θ)
2
F1 Kv Vac_max
( ) (
1
( )

0
1 + K V ⋅ sin( θ) dθ v( in)
sin( θ)
2
Iin_a_rms Vac_min = 0.263 A Primary side DC component current: (Inductor / MOSFET)
)
(
)
Idea PF value:
( ) (
( ) ( ) ( )
)
PF Vac_min = 0.989 THD Vin :=
(
)
PF Vac_max = 0.984 −1
(
)
Idea THD:
( ) (
1 PF Vin
( )
2
THD Vac_min = 15.166⋅ %
ห้องสมุดไป่ตู้
)
THD Vac_max = 18.121⋅ %
Operating Conditions:
Input parameter calculation: Input Power: Input Voltage peak minimal: Input Voltage peak maximal: Po Pin := η Vpk_min := Vpk_max := 2 Vac_min 2 Vac_max Pin = 49.412 W Vpk_min = 268.701 V Vpk_max = 373.352 V
2
Is_pk Vac_min = 6.018 A Secondary RMS Current: (Inductor / Diode) Is_rms Vin := Is_pk Vin ⋅ Is_rms Vac_min = 1.862 A Output Capacitor RMS Current: (Secondary side AC current component) ICo_rms Vin :=
( ) (
2 ⋅ Vin⋅ F2 Kv Vin
( ( ))
Ip_pk Vac_max = 1.517 A F2 Kv Vin 3 Ip_rms Vac_max = 0.366 A
Ip_pk Vac_min = 1.729 A
)
(
)
Primary RMS current: (Inductor / MOSFET)
42W HIGH PF SINGLE STAGE FLYBACK CONVERTER DESIGN WITH HVLED815
Design SPEC:
Input AC voltage minimal: Input AC voltage minimal: Input AC voltage maximal: Input voltage frequency: Rated Output Power: Output Voltage normal: Output Voltage maximal: Output Voltage minimal: Output Current normal: Output Low Frequency Ripple ratio : Output Low Frequency Ripple: Switching Frequency minimal: Expected Efficiency: Vac_min := 190V Vac_nom := 230V Vac_max := 264V fl := 50Hz Po := 42W Vo := 40V Vo_max := 43V Vo_min := 22V Po Io := Vo ∆λ := 10% ∆Vo := Vo ⋅ ∆λ fs_min := 85⋅ kHz η := 85% Io = 1.05 A "+ / -" ∆Vo = 4 V
Input foundation RMS Current maximal:
Pin Iin Vin := Vin
( ) (
Iin Vac_min = 0.26 A Maximal turn ratio calculation: Expected maximal D-S Voltage of MOSFET: Expected spike voltage of inductor maximal: Output diode reverse voltage： Output diode farward voltage: Transformer Ratio maximal: VDS_ex := 800V Vsp_ex := 80V VR := 200V VD := 0.95V Kmax :=
Dmax = 0.379
Duty at peak input voltage minimal: Four function definetion:
Dmin = 0.305
Kv value(Peak voltage / Reflected voltage):
Kv Vin :=
( ) (
2 ⋅ Vin Vr
)
Iin Vac_max = 0.187 A
(
)
VDS_ex⋅ 0.85 − Vpk_max − Vsp_ex Vo_max + VD
Kmax = 5.157 Vpk_max Kmin := VR ⋅ 0.85 − Vo Kmin = 2.872 112 Consider a safty margin, choose: Reflected voltage from secondary: Vds validation: K := 4 Vr := K⋅ Vo + VD 20 = 5.6
(
)
( )
( )
0.4
( ) 0.2 Iin_a( θ , V ac_max)
Iin_a θ , V ac_min 0.1 0 0 1 θ 2 3
0.3
Input side RMS current:
⌠ 1 Iin_a_rms Vin := ⋅ Ip_pk Vin ⋅ π 2 ⌡
π
)
2 ⋅ Vin
(
)
(
)
( )
fs( 176V , θ)
2×105 1.8×105 1.6×105 1.4×105 1.2×10 5 1×104 8×104 6×10 4 4×104 2×10 0
5
VAC=176V
0
0.785
1.571 θ
2.356
3.142
fs( 230V , θ)
3×10 5 2.7×10 5 2.4×105 2.1×105 1.8×105 1.5×10 5 1.2×10 4 9×104 6×104 3×10 0
( (
)) = 0.239
1 + Kv⋅ sin( θ) π
dθ
F2 function:
F2 Kv :=
( )
0
F2 Kv Vac_min
( (
)) = 0.213
F2 Kv Vac_max
( (
)) = 0.174
F3 function:
F3 Kv :=
( )
⌠ ⌡
π
sin( θ)
3
)
Lp Vac_max = 0.883⋅ mH
(
( ) (
Lp ⋅ Ip_pk Vin
( )
ton Vac_max = 2.926⋅ μs 1 1+ 2⋅ Vin Vr ⋅ sin( θ)
ton Vac_min = 4.633⋅ μs Switching frequency: 2⋅ Vin fs Vin , θ := ⋅ Lp⋅ Ip_pk Vin
1.571 θ
2.356
3.142
Minimal frequency at minimal input: Minimal frequency at maximal input: AP requirement calculation: Core windows use ratio:
π fs Vac_min , 2 = 81.746⋅ kHz π fs Vac_max , 2 = 104.225 ⋅ kHz
)
(
)
( ) (
( )
( ) ( ( )) ( )
)
( ) (
Is_rms Vin
( )
− Io
2
ICo_rms Vac_min = 1.538 A
)
ICo_rms Vac_max = 1.387 A
(
)
Transformer Design:
Inductance calculation: Primary inductance maximal: 2⋅ Vin Lp Vin := 1 + Kv Vin ⋅ fs_min⋅ Ip_pk Vin
Transformer Ratio minmax:
(
)
Vr = 163.8 V Vds_max = 617.152 V
Vds_max := Vpk_max + Vsp_ex + Vr Vr Dmax := Vr + Vpk_min Vr Dmin := Vr + Vpk_max