Answer Happy

Two buses with generators and loads are connected via a three-phase, balanced transmission line as shown in Figure 5. The power system operator needs to maintain a constant voltage profile at both ends of the line such that |V₂| = |V₂| = 1 pu. Furthermore, the operator needs to maintain equal real power loads at the two buses by adjusting the power flow across the line. The total demands at the two buses are S₁₁ = (30+20j) pu and S₁₂ = (40 + 15j) pu. Additionally, the generator at bus 1, T₁, can produce 35 pu real power at maximum. Provide an estimate for the voltage phase angle difference & = 0₁-02, and power factors of the two buses, when the line impedance (Z = 0 + 0.1j) pu. [6 Marks] d) What would be the voltage phase angle difference 8, and power factors of the two buses for question 3(c) if the line impedance Z = (0.008 + 0.1j) pu? [7 Marks] Bus 2 T₂ Bus 1 Ti SR STY ST Ss 6³H +10 Z=R+jX V₂ |V₂|20₂. V₁ V₁20₁. Sta Figure 5: Transmission line diagram SLA