On Tuesday, January 22, 2019 at 10:13:17 AM UTC-8, Look165 wrote:

Saturation is a value coming from the magnetic core, yes.

But H (magnetic strength) is directly proportional to the current...
A free transformer (without load) rarely comes to saturation.

NO, that's exactly backwards: a 'free' transformer with negligible secondary current
DOES near-saturate. The primary current and secondary current are in
the opposite direction, so load (secondary) current CANCELS
the magnetization caused by the drive (primary) current.

A lot of secondary current (high load current) removes the
risk of saturation.