课程名称︰电力工程导论 课程性质︰电机工程学系复选必修暨离岸风力发电学分学程进阶专业选修课程 课程教师︰刘志文 开课学院：电机资讯学院 开课系所︰电机工程学系 考试日期（年月日）︰2020/4/21 考试时限（分钟）：14:20-16:50 试题 : 1-6题 每题10分，第7题15分，第8题25分 1. In Figure 1, v(t) = √2 × 120cos(ωt + 30°) i(t) = √2 × 10cos(ωt － 30°) (a) Find p(t), S, P, and Q into the network. (b) Find a simple (two-element) series circuit consistent with the prescribed terminal behavior as described in this problem. Fig.1 https://imgur.com/AMluD69 2. A 1φ load draws 10kW from a 416-V line at a power factor of 0.9 lagging. (a) Find S = P ＋ jQ. (b) Find │I│. (c) Assume that ∠I = 0 and find p(t). 3. In Figure 2, find the total complex power delivered to the load. Assume that ZC = －j0.2 ZL = j0.1 R = 10 Fig.2 https://imgur.com/SGg3sKu 4. In the system shown in Figure 3, find Ia, Ib, Ic if (a) Za = Zb = j1.0, Zc = j0.9 (b) Za = Zb = Zc = j1.0 Hint: Use per phase analysis in part (b) Fig3. https://imgur.com/npT0iAw 5. The system shown in Figure 4 is balanced. Find Va'n, Vb'n, Vc'n, and Va'b' Fig4. https://imgur.com/Kx1SpcH 6. The system shown in Figure 5 is balanced. Assume that load inductors, ZL = j10 load capacitors, ZC = －j10 3φ Find Ia, Icap, and S . load Fig5. https://imgur.com/x0XnWIH 7. In Figure 6, assume that Ea = √2∠45° Eb = 1∠-90° Ec = 1∠180° Ia = 1∠-10° Fig6. https://imgur.com/gY65wze The load is symmetrical and Z is not given. The sources are not balanced, 3φ but we noted that Ea + Eb + Ec = 0. Find S . load 8. Justify the formula l = 4 × 10^(－7)ln(D/r') henrys per meter for the round -trip inductance of a single-phase line made up of round wires of radius r separated by a distance D between centers. For simplicity, assume that D＞＞r and make reasonable simplifications. Note that the inductance "per conductor" is the same as the per phase inductance of a three-phase line, but the inductance is doubled because there are two conductors. -- A person can only murder another once. The act of murder is giving up the humanity that is within oneself. What is left is just emptiness. You can not lose humanity if it is already lost. The act of murder turns into the act of slaughter. They are two different things.—Ryougi Shiki《A Study in Murder》 https://imgur.com/cq2YDbl --

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