Tesla and Steinmetz figured out the theory of AC machines in the early 20th century. This was the first industrial technology where you needed advanced math to get anything to work right. Complex numbers. Calculus. Laplace transforms. That bothered some people, such as Edison. By the 1930s it was figured out, and generations of EEs struggled through rotating machine theory in college.
Then all the cool kids went off to radio and transistors and computers. Rotating electrical machinery was a mature field. Maybe a few people at GE in Schenectady worked on it.
Then came power semiconductors, and chopper-type motor control, where power was being turned on and off at moderately high frequencies. At first this was just applied to existing motor designs. But AC motors were designed for sine wave power. Choppers didn't produce clean sine waves. Much effort was put into making variable-speed controls that produced the nice sine waves motors needed. Classical AC theory was built around sine waves, and engineers knew how to do that kind of analysis. This worked, but it made AC motors buzz at the chopper frequency, and as chopper frequencies went up, whine. When you ride on BART, that's what you're hearing from the motors. The waveform mismatch also led to unwanted heating in the windings and inefficiency.
Variable-frequency 3-phase AC motors went from exotic to normal. Today, everything from a Tesla to a drone to a Diesel-electric locomotive uses such motors. The big power semiconductors required aren't that big. Here's one for a locomotive.[1]
In recent years, motors have started to be designed for the non sinusoidal waveforms that come out of chopper power supplies. This required new theory and much simulation of magnetic fields. There's plenty of compute power available and commercial packages for that kind of analysis. Now we're seeing more advanced motor designs that match well with their control electronics.
After most of a century, rotating electrical machinery design is cool again.
[1] http://www.ametrade.com/eng/electronics/products/IGBT_IGCT.s...