I ordered a a new transformer TM-09176 (T301) from ebay for less than 10 EUR and replaced the existing one and now the monitor works again without any issues! ~ thanks your your tip!
When checking the circuit with the thermal imaging camera after replacement, i can confirm that the transformer and also the resistor R301 beside it, do NOT HEAT UP any more. (the temp of R301 stays below 32°C which is fine). Measuring the temperature of the transformer and resistor seem to be a good indicator if things are broken.
@goaty I could send you the thermal-image if you like to add it to your description. Beside the board no BN44-00238 you may also add the transformer no “TM-09176” to your introduction as well - as this is the main part that needs to be replaced.
I took some thermal images (using SeekTermal camera) from the power-supply board of this TV:
The rectangular black transformer TM-09176 (T301) gets 60°C at one side only. But the resistor R301 beside the transformer, gets nearly 100°C! This is maybe due to unregulated high current coming from the transformer? The rest of the board stays very cool.
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