OK, we got one of those fancy energy-saving washing machines. After a few
years, it started having trouble filling with water. I replaced the
solenoid valve assembly twice over about 6 months, and then started
invetigating deeper. The control board had a micro and about a dozen
electeromechanical relays on it. The one for the cold water valve
eventually developed contacts burned so bad that I was able to diagnose it.
I replaced it with a solid state relay, and all has been good for several
years. I gues the cold water valve gets cycled the most often, so that
relay got burned up first. No problem yet with any of the others.

Jon