In WYE secondary voltages, how is the phase to phase voltage determined from phase to neutral?

In a WYE (or star) configuration, the relationship between phase to phase voltage and phase to neutral voltage is based on the geometry of the system and the properties of three-phase electrical systems. The phase to neutral voltage is the voltage measured from any one phase to the neutral point, while the phase to phase voltage is the voltage measured between any two phases.

In a balanced three-phase system, the phase to phase voltage is always √3 (approximately 1.732) times the phase to neutral voltage. This relationship arises from the Pythagorean theorem as the voltages are offset by 120 degrees in their phase angle representation. When dealing with the trigonometric representation in phasor diagrams, the phase to phase voltage calculations utilize the following formula:

Phase to Phase Voltage = √3 × Phase to Neutral Voltage

This results in the correct choice where the phase to phase voltage is consistently 1.73 times the phase to neutral voltage in a WYE configuration. Understanding this concept is crucial for correctly calculating voltages in electrical systems, as it ensures accurate readings and proper design of electrical circuits.