Blown converters are usually due to lack of control. What IC do you see on the primary side, TL494? SG3524? Yeah, there's your problem.
Why are these inferior and what would be better ?
The controller isn't necessarily bad, in and of itself, but it is almost always used in a bad way.
The standard example, used for car amps, automotive inverters and such, is a TL494 (or similar) driving a wad of transistors at fixed PWM, period. No control whatsoever, no regulation, no current limiting, nothing. The only thing that allows it to even start up at all, is a generous soft start (PWM rises slowly), which drops inrush power across the transformer's leakage inductance, in turn dissipating that power in damping resistance (if provided) or transistor switching loss.
The most apparent characteristic, looking at such a design, is this: no filter inductor.
The next step up isn't any better: a voltage mode controller. This typically has voltage feedback, varying PWM to regulate the output voltage. This has two problems: 1. no current control, obviously; 2. compensation is a pain, because the LC filter introduces two poles into the loop (basically, the LC circuit tends to resonate, pushing the loop towards instability).
The usual hack is actually exemplified nicely here:
https://www.eevblog.com/forum/repair/tl494-based-82v-lifepo4-charger-bad-part-or-suspect-substitute/msg1447211/#msg1447211This has current and voltage mode operation; they are cooperative, in that whichever one is closer to its setting, takes over. This isn't full current mode operation, but it's certainly something. It should be robust to short-circuiting the output. (The automotive version would have these changes: 1. TL494 powered from +12V input; 2. MOSFETs instead of BJTs, and push-pull instead of half-bridge; 3. current sense in the primary side ground return, allowing primary side protection; and, any other changes to suit the desired output voltage(s), for example probably using a FWB rectifier instead of FWCT as shown.)
Preferably, current mode would be implemented by using the internal feedback loop exclusively for current regulation, so that, no matter what current the circuit is commanded to deliver, it delivers only that much, under full control at all times. An external op-amp is added onto this (since, although the TL494 has two error amps inside, they aren't independent -- their outputs are wired-OR'd), and it controls the current command in order to regulate output voltage (or whatever other quantity is being controlled, ultimately).
TL494 isn't really suitable for peak current mode control: you must provide an external flip-flop, that is set by the oscillator (somehow*), and reset by a comparator sensing switch / inductor current.
*The very similar SG3524 enables this with its "OSC" output, which outputs pulses.
So you need to add three chips (latch, comparator, voltage error amp), and the '494 is basically an oscillator, might as well use a 555, or just more logic (indeed, I've used CD4047 for this).
One modernish chip that can do all of this in just 8 pins: UCC3808. Newer controllers are often overlooked because they're more expensive, but going for the $0.05 TL494 is a false economy when you need reliability and performance.
Tim