A power system has the following admittance matrix, in p.u.: Y_{B U S}=\left[\begin{array}{ccc} j 0.8 & -j 0.4 & -j 0.4 \\ -j 0.4 & j 0.8 & -j 0.4

\\ -i 0.4 & -j 0.4 & j 0.8 \end{array}\right] The only generator in the whole power system is rated at 110 MWand is connected to bus 2. The whole power system operates at anominal voltage of 33kV. The voltages of buses 1 and 3 (in Volts)are as follows: V = 32,674416° V V3 = 31,739 - 3° V Determine if the generator is overloaded, or if it is operating belowits rated output capacity. (b) List and explain how power system stability is classified intodifferent types of stability. (c)Draw the approximate shape of the typical UK domestic load profile and discuss its main characteristics and the challenges it poses onthe power system.