Three Phase AC Circuit Star Connected Load Numerical Problem 1

@ElectronFlowAcademy Please Like and Subscribe our Channel. Numerical 1: A balanced star connected load of (8+j6) ohms per phase is connected to a three phase 400V supply. Find the line currents, power factor, three phase power and three phase volt-amperes. In this numerical problem, we examine a three-phase AC star-connected load supplied by a balanced voltage system. The load comprises three identical impedances with resistors and inductors in series, operating at a frequency of 50 Hz. Given parameters include a line voltage of 400 volts (rms), resistance per phase of 10 ohms, and inductance per phase of 0.2 Henrys. The objective is to determine key electrical parameters such as phase current, line current, power factor, apparent power, active power, and reactive power consumption. Through calculations, we find phase current using the line voltage divided by impedance, line current as the square root of three times the phase current, power factor as the ratio of active power to apparent power, apparent power as the product of line voltage and line current, active power as the product of line voltage, line current, and power factor, and reactive power as the square root of the difference between apparent power squared and active power squared. These computations provide insights into the behavior and performance of the three-phase AC star-connected load, crucial for designing and optimizing power distribution systems.