Question

Трехфазный генератор, соединенный «звездой», имеет Uф=220 В. Потребитель имеет активное сопротивление фазы 6 Ом, индуктивное 8 Ом. Определите Uл, Iф, Iл и потребляемую мощность? UPDATE

Answer 1

Ответ:

Объяснение:

Решение в прикреплённом файле

Answer 2

Three-Phase Generator Connected in Star Configuration

A three-phase generator connected in a star configuration is a common setup in electrical power systems. In this configuration, the generator has three output terminals, each connected to one end of a winding. The other ends of the windings are connected together to form a neutral point, which is usually grounded. The voltage between any phase terminal and the neutral point is known as the line-to-neutral voltage (U_ф).

Given Parameters

- U_ф = 220 V (line-to-neutral voltage) - Active resistance of each phase (R) = 6 Ω - Inductive reactance of each phase (X_L) = 8 Ω

Line Voltage (U_л)

The line voltage (U_л) is the voltage between any two phase terminals. In a star configuration, the line voltage is equal to the line-to-neutral voltage multiplied by the square root of 3.

U_л = U_ф * √3

Substituting the given value of U_ф:

U_л = 220 V * √3

Using a calculator, we can find:

U_л ≈ 380.13 V

Phase Current (I_ф)

The phase current (I_ф) is the current flowing through each phase. It can be calculated using Ohm's Law, where the voltage is the line-to-neutral voltage (U_ф) and the impedance is the combination of the active resistance (R) and the inductive reactance (X_L) of each phase.

I_ф = U_ф / Z

The impedance (Z) can be calculated using the formula for the magnitude of the impedance in an RL circuit:

Z = √(R² + X_L²)

Substituting the given values:

Z = √(6² + 8²)

Using a calculator, we can find:

Z ≈ 10 Ω

Substituting the values of U_ф and Z into the equation for I_ф:

I_ф = 220 V / 10 Ω

Using a calculator, we can find:

I_ф = 22 A

Line Current (I_л)

The line current (I_л) is the current flowing through each line. In a star