The electrical diagram on the right used in every electrical industry involving industrial process automation control technology shows a similar power circuit identical to the 3 phase DOL motor controller power circuit except for the distinguishable difference on the wiring connection of the circuit specifically intended to accommodate a 1 phase motor instead of a 3 phase motor.

Why? Because leaving out one terminal open for a 1 phase application would result in an imbalance distribution of load current detection on the 3 terminals of a 3 pole thermal overload relay. Since a three pole thermal overload relay is specifically designed to detect an equal three phase load current, then the application of an unequal load concentrated only on two terminals with one terminal open would eventually render an inaccurate current measurement resulting in an intermittent unnecessary tripping OFF of the thermal overload relay.