Final answer:
A three-phase Buck-Rectifier circuit can be modeled by applying Kirchhoff's junction rule and loop rules. By substituting values into these equations, we can calculate the currents in the circuit.
Step-by-step explanation:
In a three-phase Buck-Rectifier circuit, currents labeled I₁, I₂, and I₃ flow in the clockwise direction through resistors R₁, R₂, and R₃, respectively. To derive the modeling equations, we can apply Kirchhoff's junction rule and loop rules.
a. By applying Kirchhoff's junction rule at point A, the equation obtained is: I₁ + I₂ - I₃ = 0.
b. By applying Kirchhoff's loop rule in the upper and lower loops, we can obtain the following equations:
Upper loop: E₁ = I₁R₁ + I₃R₃
Lower loop: E₂ = I₂R₂ + I₃R₃
c. Assuming R₁ = R₂ = 6Ω, R₃ = 120Ω, E₁ = 6V, and E₂ = 4V, we can calculate the currents I₁, I₂, and I₃ by substituting values into the equations obtained in parts a and b.