Menegt,
I like your fuse idea. That would help identify one or more overloading fixtures.
I have a feeling that these Ballasts do not have a Power Factor Correcting Capacitor installed. Have recently installed some new Hubbell HPS fixtures [100 watt HPS - ANSI S54 lamp] and there was no Capacitor included.
That makes the PF only 50%, so there's close to 2 times more current drawn.
I included this to give a possible fix - try installing Capacitors to lower the Line Amperes / KVA.
Scott SET