While playing around with a capacitive power supplies, I observed some very weird behavior when passing a 60Hz sinusoidal current through a 1000V disk ceramic capacitor. The voltage curve was very distorted, not a sine at all! After making sure I still understand Circuits 101, I got this:
Capacitance of ceramic capacitors may also change with applied voltage. This effect is more prevalent in class 2 ceramic capacitors. The ferroelectric material depends on the applied voltage.
This makes perfect sense: the VxQ curve of capacitors can be different from a straight line because real capacitors have real dielectrics which do not necessarity get polarized in a linear way (unlike the parallel plate case). The capacitive power supply is just a case that really exarcebates this effect. (I was using a class 2 ceramic cap and crossing 0V a lot)
Ok, so now the question: in my experience, this VxQ (or, alternatively, CxV) relationship is very rarely mentioned most of the time. Aside from capacitive power supplies, is this effect relevant? How do these VxQ curves look like for different types of capacitors?