How does line current in a delta connection compare to winding current?

In a delta connection, the line current is indeed higher than the winding current by a factor of 1.732. This is rooted in the relationship between the line and phase currents in a three-phase system. When three coils are connected in a delta formation, each winding carries the same phase current. However, the line current, which is the current flowing through the conductors supplying the delta connection, is equal to the square root of three (approximately 1.732) times the phase current.

This relationship can be derived from the geometric properties of the delta configuration, where each line current corresponds to the vector sum of two phase currents. The mathematical representation involves the 30-60-90 triangle properties in this context, leading to the conclusion that line current is this factor of the phase/current. This proportionality is key when analyzing power systems and is critical for ensuring proper load calculations and equipment sizing in electrical engineering.

In this case, the inclusion of a factor could easily override misunderstandings about the nature of current in delta systems, reinforcing the importance of comprehending phase relationships in three-phase systems.