ISTM that IC802 waits until C825 charges up to 16.5V (start threshold) via R828/R829/R815/D818. When this threshold is reached, the IC transitions from stop mode to start mode. It then begins pulsing its internal MOSFET (and transformer T801). This depletes the charge on C825, so Vcc gradually decays until it hits the stop threshold (8.9V). When this happens, the IC stops pulsing and waits for C825 to be recharged from 330V via the same 3 resistors. This cycle either repeats for a fixed number of attempts, or it keeps cycling until power is removed. You would need to read the datasheet.
If there is no overload on the 24V rail, a regenerated supply is developed from the MOSFET pulses at the secondary winding of T801 (pin #2). These pulses are rectified and smoothed by D817 and C822. The fact that you're measuring 2.6V at this point means that IC802 is pulsing the transformer, but the regenerated supply is insufficient to reach the start threshold of 16.5V. ISTM you would expect to measure ~20V or so in a working scenario. Something is either loading the 24V supply, or is preventing C822 from being charged to the correct voltage.
If you have a ESR tester, I would test C822.
Right that makes sense, so it is trying to start up, which means the IC is working?.
Unfortunately I do not have an ESR tester, however I have and LCR meter.
I have removed C822 from the PCB and it was reading 47µF. I have replaced this capacitor with a salvaged one of the same value from an old PC power supply, which was reading 96µF.
I then fired up the power supply and it is still not working. I am still seeing that 8.9 - 16.5V across C825.
I also remove C825 and tested this, it is giving a reading of 98µF so I would say it is fine.
Measuring the voltage across the now replaced C822, I left the volt-meter connected for a few minutes and the voltage was very slowly creeping up from about 1.8V and got to 3.8V before it slowed down and creeped up to around 4.1V.
So it looks like it is trying to switch on, as you said, but something is preventing it. You said it might be something loading the output stage?
I have tried running the power supply board with none of the cables connected, (apart from the AC input of course) and all the readings are the same. So I think this proves the fault is on this power supply board somewhere.
I had a look at some obvious components, I removed C859, C860 and C862. These are all measuring around the 950µF mark. I have fired up the power supply without these three capacitors, and no change.
D857 is also testing fine out of circuit. 0.7V forward and infinite in reverse.
So I have fitted all of these part back to the board as they seem OK.
Upon studying the board more, I have located all the test-points on the output stage and taken the following readings:
-0.40V on TP851 - This looks like the 24V output for the main power supply, only switched on when not in standby mode?
0.29V on TP852 - I think this is the standby power supply which should be on all the time?
0.0V on TP853 - This appears to be the stand-by signal controlling IC802 via PC802. So is this expected to be 0v with the TV on standby mode?
0.01V on TP854 - this also looks like something to do with the stand-by switching and is running via PC801??