I feel your SSR is rated for resistive load .So it fails with inductive load.
Use a Mecchanical Relay or find an SSR which can handle Inductive load.
The 1500w toroidal inductive load can create large spike during power off.
You need to arrest this.
Some SSR have build in snubber .
But your transformer is too big and spike can be larger than SSR rating .
From the schematic I believe circuit is with soft start.
I do not see any control for the NO contact shown across the P14 .
Does it has bult in timer ?. This must have an ON delay contact to avoid inrush current.
Refer below page on softstart for toroidal transformers.
sjostromaudio.com/pages/index.php/hifi-p...ansformers?showall=1
It uses two relays. The second relay will be switched on after a time delay
I would sugget use an Electro Mechanical Relay instead of SSR.
Attached a reference page from Omron's Technical guide