I was able to repair the power supply

I will post a detailed description soon.
Because the repair of the first column took quite a long time (I was learning switching power supplies)

it has fallen
also the second.
In the case of the first repair, probably all the semiconductors that work on the primary side of the power supply burned out, and one
after the secondary.
My general remark is that one damaged element is enough and the entire power supply goes up in smoke, so I recommend preventive replacement of electrolytes to all who still use this set:
c6 and c7 - 390 uF / 200V - they are probably the main cause of failure
c35 - 1uF / 50V
c7 - 330?F / 35V (on the diagram 220?F, but originally it was 330?F)

On the internet, people suggest replacing anti-interference capacitors as well
c1 and c2 - 0.22 uF / 275V
Although in my opinion it seems superfluous (but I have replaced them at home).

The elements that were damaged in the case of the first column are marked below.
I would like to point out, however, that I learned there and made a short circuit many times.

It went better with the second column, but the damage was not much less.

In the case of the second Alesis, I replaced the TL431 (u3) chip, without knowing whether it is functional or not. He was in the first column
100% damaged, but I do not know at what point it happened, whether immediately or later at any attempt to start the power supply.
Going in turn.
After the first short circuit, it tripped a fuse in the house.
I reconnected the column at least one more time, not sure what I was counting on, causing a short circuit again.

I am writing about this because the first Alesis had a blown fuse, and the second one was not. The fuse in the house was faster

I have already written about anti-interference capacitors, I only mentioned them as a precautionary measure.
Thermistor RT1 burnt a bit after a few short circuits (column 1), so I replaced it.
The D1-D4 bridge in the first column burned several times, in the second one only the D1 and D2 diodes burned out.
Unfortunately, when Q1 breaks through, Q3 and Q4 also burn, the same goes for Q2 and Q5.
The biggest surprise for me was the damage to the T2A choke, both in both columns. In the first one there was smoke coming out of it at some point, and in the second the coils were burnt, causing some short circuits and, as a result, bad operation of the power supply. I rewound the first choke (with the same wires), and in the second one, I parted the wires a bit in the visible spot of the burn, so that they wouldn't touch each other, and poured glue over them.
When the UC 3844N (U1) is on, I do not know, but I had to replace it in both loudspeakers, although in the second I am not sure if it was necessary, because after replacing it, the power supply was still defective and only repairing the T2A brought the expected result.
There is also the R15 resistor, which was simply black in the first column, probably because of the number of short circuits that closed through it. In the second, it was slightly darkened. I do not know if as a result of normal operation or if it caused a short circuit. Anyway, I soldered a new 2W resistor.
Since the power supply cannot be repaired gradually, because it either burns or works well, it is a good idea to use a traditional 100 W bulb instead of the fuse. It significantly reduces the current, so that nothing burns, and on the other hand, the whole system works almost normally. In addition, the behavior of the bulb light serves as an indicator of the power supply operation.
If everything is ok, the bulb will light for a moment and then go out completely.
Then you need to check the voltage at the output of the power supply.
The two extreme pins of the J5 socket are the voltage above 60 V. If it is, then the power supply is operational at 99%.
The light bulb may catch on, go out, and then flash brighter and brighter. If we do not turn off the power in time, transistor Q1 will burn out (despite the presence of the light bulb). In my case (column 1), the UC3844N chip and transistors Q7 and Q6 turned out to be damaged.
In the second column, the light bulb went out, but there was no output voltage. Transistor Q5 turned out to be damaged. After replacing it, the voltage appeared, but the bulb was blinking slightly and here the cause was a burned T2A choke. In addition, once it was good and bad, and that made me take a closer look at this choke, because at first I ignored its burning (it was not so obvious).
Currently, both loudspeakers work as before and enjoy my ears with a very good sound.

And that was probably about it.
I am attaching a few more photos from the repair and a video:
[movie: e3ae3be77b]
https://filmy.elektroda.pl/93_1510078183.mp4 [/ movie: e3ae3be77b]