(四)、Find the complex power provided by SG2. (5%)

(ㅡ)、A temporary three-phase fault occurs at the sending end of the line at point F. When the fault is cleared, both lines are intact. Determine the critical clearing angle δ 1. (7%)

(二)、 A three-phase fault occurs at the middle of one of the lines, the fault is cleared, and the fault line is isolated. Determine the critical clearing angleδ2.(7%)

(三)、 Which one is larger between δ 1 andδ2? (2%)

1. Assume the molar Gibbs free energy of a gas is given by the equation: , where po is the standard pressure and a and b are gas-dependent constants. Derive an equation of state for this gas. Show the final result in the form of PV = ?.

(a) Set up the Secular Determinant and solve for the energy of the Bonding and Anti-Bonding Orbitals

(b)  Use your answer in part (a) to calculate the coefficients, and C1, in the Normlized anti-bonding orbital. If you are not sure of the energy, then use = -8.0 eV to work out this part.

(c)  Assume for this part that the bonding orbital is:What fraction of the charge of an electron in the bonding orbital is on the lodineatom?

3. Consider a transition between the ground state (Ψ0) and the i'th excited state. Time dependent perturbation theory can be used to show that the intensity of the absorption is proportional to the square of the "transition moment",. The x, y and z components of the transition moment are: .In the case of Carbene, it has C2v symmetry has 8 electrons and the Triplet Ground state takes the electronic configuration (a1)2(a1)2(b2)2(a1)1(a1)1 as shown in the following diagram where the shape of the molecular orbital are also includedPlease determine if the electronic transition (only the highest two unpairedelectrons are shown and the paired inner orbitals are neglected) is UV allowedor forbidden.For your information, the character table for C2V symmetry is:

(a) [3 points! If ax ay (mod n), then x y (mod n).

(b) [3 points) If x  y (mod n), then ax  ay (mod n).

110年 - 110 國立臺灣科技大學_碩士班招生試題_電機工程系(甲組)：電力系統#112841

110年 - 110台灣聯合大學系統_碩士班招生考試_電機類:電力系統#104948