Here’s the deal:
If power is delivered using a single sine wave at 60 Hz – like the 120 VAC at your wall receptacle – then the voltage is at exactly 0 V every 8.3 milliseconds. That’s a bummer, because 0 V = 0 power. So every 8.3 milliseconds, the power delivered by the receptacle is exactly zero. And this obviously means the power is very very low when the voltage is near zero.
This sucks all around, because you expect anything you plug into the outlet to deliver constant, uninterrupted power. So how is an appliance supposed to do this if the damn power delivered by the outlet is at or close to zero much of the time?
The most common solution is to incorporate devices into the appliance that store energy. These devices will deliver energy when the power delivered by the receptacle is at zero or close to zero. The most common devices are capacitors and inductors, and they “take up the slack” so to speak. Other appliances use thermal heat capacity (e.g. electric heater) or momentum (e.g. motor) as energy storage devices.
For some appliances, the situation sucks supremely when you initially try to start the appliance. Such as a motor. It’s *really *difficult to start a big honkin motor when the power delivered by the receptacle is at zero or close to zero much of the time. So motor designers are forced to employ clever tricks in order to get the motor spinning from a standstill.
The solution to this problem, of course, is to use a voltage at the receptacle that has *lots *of power available 100% of the time.
The most obvious solution is to use DC. But DC has a lot of drawbacks. Large DC motors really suck, since they must employ a commutator. And it’s difficult to bump up/down DC, which leads to problems when you’re trying to deliver power over long distances.
So that’s where three phase power comes in. With three phase power, there will always be a healthy voltage (in one of the three wires) that can deliver lots of power, right now. And when the power on that wire starts to decrease, you can switch over to another wire where the power is increasing. And so on and so on. In other words, when an appliance runs on three phase power, there will always be lots of good power available to the appliance, 100% of the time, at every nanosecond. This is especially advantageous with motors, since the designer doesn’t have to pull any tricks to get it started. Since power is always available, it’s a piece of cake to start.