Lp
Primary Magnetizing Inductance
Ip
Peak primary current
FS
Switching Frequency
Ton
MOSFET on-time per cycle (D / fs)
D
Duty Cycle
(Vout+Vdiode)N/(Vin +(Vout+Vdiode)N)
T
Period (1/fs)
Np
Number of Turns on the primary side
Ns
Number of turns on the secondary side
toff
MOSFET off-time per cycle ((1 − D) / fs)
N
Np/Ns
Draw the two energy-storage phases of a flyback
The two energy-storage phases of an ideal flyback converter are the charging phase (primary is active, energy stored in the magnetizing inductance) and the discharging phase (secondary is active, energy transferred to the load).
Phase 1: Charging (Magnetizing) - MOSFET is ON
A representation showing (V_{in}) connected across the primary, the MOSFET closed, and the secondary diode open.
Phase 2: Discharging (Demagnetizing) - MOSFET is OFF
A representation showing the MOSFET open, the primary open circuit, the secondary winding driving current through the forward-biased diode to the load/capacitor.
write the volt-second balance equation
The principle of volt-second balance for an ideal inductor states that over one complete switching cycle in a steady state, the net change in magnetic flux must be zero. The total volt-seconds applied across the magnetizing inductance (Lm) during the on-time must equal the total volt-seconds applied during the off-time.
VinDT=(VoutN)((1-D)T)
Vin*D = Vout * N *(1-D)
Label the three current waveforms you see on the primary side
Ip(t) : ramp on top of DC (CCM) or triangle (DCM)
Imag : pure triangle (magnetizing)
Ileak : narrow spike at turn-off
Give two ways to measure leakage inductance
one with a lab LCR meter, one with a scope
LCR: Short the secondary coil terminals. Solder a wire across the secondary winding terminals. This effectively cancels out the magnetizing inductance when measured from the primary side.
Connect the LCR meter to the primary coil terminals.
Set the LCR meter to measure inductance (L mode) at a suitable frequency (often 1 kHz, or the converter’s operating frequency if possible).
Read the value. The value displayed on the LCR meter is the leakage inductance of the primary winding
SCOPE: Using a Current Probe (Easiest and non-invasive)
Connect a current probe around the primary winding wire or the MOSFET drain lead.
Connect the current probe’s output to an input channel of the oscilloscope.
Set the oscilloscope channel’s scale according to the probe’s sensitivity (e.g., 1A/V).
Power the flyback circuit and observe the current waveform.
Analyze the waveform: The current waveform during the MOSFET’s ON time will show a rising slope. Any sharp peaks or ringing at the turn-off transition are often due to the energy stored in the leakage inductance interacting with parasitic capacitances. The magnitude of this current can be measured from the screen.
Write the single-line energy equation that links Pin, Lp, Ip_pk and fs
Pin = ½ Lp Ip² fs
Ip_new = Ip_old / √2 (ramp slope doubles, but peak drops 29 %)
List three design variables you can trade off to reduce peak primary current.
Increase Lp
Increase fs
Add parallel secondaries (share energy)
Why does a flyback operated in DCM give better cross-regulation between multiple outputs?
Each secondary conducts its own energy packet; load variations do not steal volt-seconds from other windings.
Sketch the MOSFET Vds waveform and mark the three voltage levels: Vin, Vor, and Vspike.
Vds
Vin+VOR+Vspike
| ┌───┐
| │ │
|—— ┘ └ ——– Vin
|__________|__________ t
ton toff
Derive the reflected voltage Vor in terms of Vout, Vdiode and turns ratio n = Np/Ns.
Professional answer:
Vor = (Vout + Vdiode) · n
Pick a random 650 V MOSFET—prove its SOA at 2 A for 200 µs at 125 °C.
Device: STP65N65M5
SOA graph: 400 V, 2 A → 100 µs @ 25 °C; derate 2× @ 125 °C → 50 µs safe.
200 µs exceeds limit ⇒ add soft-start to keep linear time < 50 µs.
Write the RCD snubber power-loss formula and state the two worst-case corners you must evaluate.
P_R = ½ Lleak Ip² fs
Corners: max temp (125 °C) & max Vin (gives highest Vclamp).
Choose a secondary diode: give the three electrical parameters that matter and the derating rule.
Maximum Repetitive Reverse Voltage > 1.3 × (Vout + Vor/Ns)
Average Current > Iout
Reverse-Recovery Time < .1 * switching period
Derate: 50 % voltage, 50 % current per NASA-STD-5012.
Explain why the opto-coupler CTR drop at –55 °C can collapse your loop gain and how you prevent it.
CTR –40 % @ –55 °C → add 20 % overhead in pull-up resistor; or use digital isolator.