A consistent three-phase demand model

A fictional engineering exercise models a balanced sinusoidal three-phase load supplied at four hundred volts line-to-line. Its active input is thirty kilowatts and its power factor is zero point eight lagging. The exercise ignores losses outside that load boundary. A colleague divides the active power directly by voltage and then chooses a protective-device rating from the result. Another colleague notes that the connection and apparent-power relationship must be identified before calculating line current. No cable installation method, equipment rating, regional wiring rule or authorized protection setting is provided. The team must compute the modeled current and explain why that single calculation is not a complete conductor or protection selection. The stated voltage and load are hypothetical exercise data, not a claim about a particular national supply.