I wont be saturating the core
Just applying primary voltage can saturate any transformer. The primary volts for a given mains frequency, and number of turns around the core can only accept so many volts per turn before the primary excitation current ramps up extremely quickly. This has nothing to do with the VA rating of the transformer. I know you got a mule of a transformer. You need a way to crank up the primary voltage (0-240+) while looking at primary current. The excitation should be low and rise almost linearly until the core begins saturating. At this point the slope changes very quickly, primary current rises real fast, and the transformer may start buzzing.
Jim
WD5JKO