With the primary inductance of 700 µH, the
absolute maximum switching frequency is calculated from:
Equation 20.
The maximum switching period is:
Equation 21.
The actual maximum on-time is given by:
Equation 22.
The maximum duty cycle of operation (DMAX) is:
Equation 23.
The transformer primary RMS current (IPRMS) is:
Equation 24.
The transformer secondary peak current RMS current (ISEC(max)) is:
Equation 25.
The transformer secondary RMS current (ISEC_RMS) is:
Equation 26.
Based on these calculations, a Würth Elektronik™ transformer was designed for this application (part number 750320029), which has the following specifications:
- NPS = 7 ±2% (primary to secondary
turns-ratio)
- NPT = 5.92 ±2% (primary to tertiary
turns-ratio)
- NPA = 4.81 ±2% (primary to auxiliary
turns-ratio)
- LP = 700 ±10% μH (primary
inductance)
- LLK = 10 μH (primary leakage
inductance)