In a delta system, how is phase current calculated?

In a delta system, the phase current is calculated based on the relationship between line current and phase current. In this configuration, each phase is connected in a triangle (delta) formation, and the line currents are a factor of the phase currents.

The correct answer indicates that the phase current is equal to the line current multiplied by the square root of three (approximately 1.73). This originates from the way currents and voltages distribute in a three-phase system.

In a delta connection, the line current is the current flowing through the conductors that connect the source to the load, while the phase current is the current flowing through each individual load connected to the phases. The formula derives from the fact that in a delta system, each phase current is influenced by the line current passing through the network in a specific vector manner.

Thus, the current flowing in each phase is higher than the current in the line due to the relationship between line currents and the currents in each delta-connected load. The factor of 1.73 is the result of applying the principles of three-phase power calculations and the geometry of the phase relationships.

Understanding this relationship is crucial for proper sizing of conductors and ensuring safety and efficiency in power distribution systems, especially for linemen