OK, it's clear due to the phase lag of an inductor, switching an inductive load at a zero-cross will give high inrush current. It should be switched at the peak, or some other method should be used to limit the inrush current.
But I was still having problems understanding the inrush current due to remanence. Modern transformers use low-remanence steel, so why should there be a problem?
I finally found an article that offers an explanation. It shows the inrush current superimposed on the BH curve for two values of remanence, and describes the efforts needed to find a better low-cost steel:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Today's grain-oriented steels work with a fraction of the losses, at higher permeability, and they can be driven harder at elevated induction levels. But there are consequences. The magnetizing curve is no longer soft and round, because it has turned square and hard. However coincidental, the combination of high permeability and square loop comprise a major component of the formula for inrush.
Improved steels have enabled smaller, lighter and less costly transformers. Yet, those same improvements have created a generation of transformers that draw immense amounts of current at start up. Although it probably was not a problem in 1954, inrush current is definitely a problem today - one that concerns every primary circuit designer.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ This makes sense. I just salvaged the transformers and magnetrons from a dozen old microwave ovens for a high power heating experiment. The transformers in the oldest ovens were huge and heavy monsters, but the later versions were much smaller.
Regards,
Mike Monett