103年 - 103 國立中山大學_碩士班招生考試_電機系(丁組)：電力工程#110072

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申論題 (7)

(a) Calculate the voltage induced in the rotating loop (

) and the current flowing through the resistor. (10%)

(b) Calculate the induced torque, electric power being generated and mechanical power being consumed by the loop. (15%)

2. Calculate the geometric mean radius of conductors shown in Fig. 2 in terms of the radius r of an individual strand. (10%)

3. Discuss the solution procedures for a power flow problem solved by a Netwon-Raphson technique. (including the procedure for swing bus, PV bus and PQ bus) (15%)

4. The impedance matrix () of a power system is

Calculate the short-circuit current for a three-phase fault occurred in bus 2 and determine the bus voltages during the fault (15%).

5. Derive the solution for the following economic dispatch problem by Lagrangian multiplier (15%)

6.Assume that the impedances for zero-sequence, positive-sequence and negative-sequence networks are Z₀, Z₁ and Z₂, respectively. Derive the formulas for I₀, I₁ , I₂, and Ia and draw the interconnected sequence networks for a single line-to-ground fault as shown in Fig. 3 (20%)