1. Find Y_bus for figure below assuming that all the transmission links have identical Π-equivalent circuits; series element impedance is 0.01+j0.1 and each(of the two) shunt element admittances is j0.8.

2. We are given the system shown in figure below and the following equations for bus powers:

S₁=j19.98 IV1I² -jV₁V₂*-j10V₁V₃*

S₂=- j10V₂V₁*+ j19.98 |V2|² - j10V₂V₃*

S₃= - j10V₃V₁-j10V₃V₂*+ j19.98 IV₃|²

Do one step of gauss iteration to find V₂¹ and V₃¹. Start with V₂⁰=V₃⁰=1

3. For the system below, assume P_G2=0.3, IV2I=0.95, and S_D3=0.5+j0.2.Starting with Θ₂⁰=Θ₃⁰=0 and |V3|⁰=1.0, do one N-R iteration and find IV3I¹, Θ₂¹ and Θ₃¹. Evaluate the mismatch vector after this single iteration.