I went to read your first message to see what was going on.
Since you are using a 12 volts supply to make a fluorescent lamp, you may produce around 160 volts DC or 300 volts DC for 115 or 230 volts regular electronic ballast lamps.
The lamps using the magnetic ballast operate at 60 or 50 HZ depending where they are sold ( different inductance).
These ballasts do not accept high frequency input power and their design is very dependent on the input frequency, basically they are designed for 45 of 55 HZ up 10 to 20 additional Hz.
The way I have made low voltage fluorescent lamps if to have 2 semiconductors driving in push-pull a transformer producing 300 volts AC, then a resonant inductance in series with a isolating capacitor plus a resonant capacitor in the pins of the lamp, using the filaments in series.
In addition I used a small transformer with a primary that is in series with the resonant inductance and two secondaries that feed the semiconductors to turn on with positive feed back.
There is another simple circuit that pulses once every 3 to 5 milliseconds to pulse one of the semiconductors ON to initiate the oscillations and the circuit is then disabled.
Basically is the initial high voltage totem pole electronic ballast converted for lower voltage.
The transformer is designed to saturate at around 1/2 the operating frequency and it will operate in the linear region, always, reducing the losses to a minimum.
There many companies making Integrated Circuits for fluorescent lamps and many DO include Power Factor correction for better energy savings.
85 to 93 % efficiency can be obtained.
One can use a single transistor to make a fluorescent lamp with a small transformer
and a few resistors, though the efficiency is lower and the lamp life 50 to 75 %lower due to not bi-directional lamp current pulses
Nando