Certainly! Let's **analyze the given power system network** in two steps: --- ## **Step 1: Identify Bus Types and Data** - **Bus 1**: Slack Bus - \( V_1 = 1.05 \angle ^\circ \) - **Bus 2**: Load Bus (PQ) - Loads: \( P_{L2} = 400\, \text{MW} \), \( Q_{L2} = 250\, \text{Mvar} \) - **Bus 3**: Generator (PV Bus) - \( P_{G3} = 200\, \text{MW} \), \( |V_3| = 1.04 \) **Explanation:** - Slack bus sets the reference for voltage magnitude and angle. - PQ bus (bus 2) specifies real and reactive power demand. - PV bus (bus 3) specifies real power generation and voltage magnitude. --- ## **Step 2: Write Network Impedances and Connection** - **Line Impedances:** - Bus 1–2: \( Z_{12} = .02 + j.04 \) - Bus 1–3: \( Z_{13} = .01 + j.03 \) - Bus 3–2: \( Z_{32} = .0125 + j.025 \) **Explanation:** - These impedances are required to form the bus admittance matrix (\( Y_{\text{bus}} \)), which is essential for load flow calculations and to determine voltages and power flows in the system. --- ## **Final Summary** **The network has:** - Bus 1 (Slack), Bus 2 (PQ), Bus 3 (PV) - Loads and generations specified - Line impedances provided **Next Steps (not required but for clarity):** If you were to solve for bus voltages and power flows, you would form the admittance matrix, set up the power flow equations, and solve using Newton-Raphson or Gauss-Seidel methods. --- If you have a **specific question (e.g., calculate bus voltages or power flows)**, please provide it!