Output voltage is mainly dependent on rate of fall of the primary current as per v = LdI/dT
Uhm, not quite. DC output voltage is dependent on input voltage, turns ratio, and duty cycle.
On a forward converter yes but on a flyback converter no the forward conversion voltage is blocked by the flyback diode and only the voltage from the collapse of the magnetic field is used.DC output voltage is dependent on input voltage, turns ratio, and duty cycle.
Edit to my last comment, I assumed that the original circuit was flyback because an EHT transformer (television) was mentioned and traditionally there are operated in flyback mode. With switching transistors and cheap components there is no reason to run the EHT transformer in flyback mode like was the norm in valve days.
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