King Fahd University of Petroleum and Minerals 1 Electrical Engineering Department Major II Solution Key- 171 EE-306 Electromechanical Devices Thursday, 14 Dec 2017, 6:00PM - 7:30PM First Name Last Name Muhammad Khalid Ibrahim Habiballah ID Sec 1 Sec 2 Sec 5 Sec 6 Sr. # Muhammed Worku Sec 4 Guidelines Read the following instructions: • Check that your full name and ID are written in the appropriate boxes above. • This exam solution has 10 pages including all blank pages. All pages are numbered. • Respond to all questions. Clear hand writing is required. • Multiple responses to the same question will not be corrected. • Cell phones should be turned off and exchange of calculators is not permitted. • Do not leave the examination room without the permission of the Instructor. • Ask the Instructor for any assistance. Grading Table 1: MCQ Answers Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 (d) (b) (a) (c) (b) (a) (c) (a) (a) (b) MCQs Problem 1 Problem 2 Problem 3 Problem 4 Marks Obtained / 30 Marks / 15 Marks / 20 Marks / 15 Marks / 20 Marks / 100 Marks King Fahd University of Petroleum and Minerals Electrical Engineering Department 2 Multiple-Choice Questions. (10 x 3 = 30 Marks) Note: For each independent question, CIRCLE one and only one answer among the proposed responses. Put your answers in the Table 1 at the cover page. Q1 A wave connected triplex wound 4-pole DC machine generates 1440 V running at 1800 rpm when excited by the magnetic flux of 0.25 Wb. The total number of conductors in the armature winding should be: (a) 144 (b) 864 (c) 48 (d) 288 Q2 In a 12-pole simplex lap-wound DC machine, each current path can carry a current of 100 A. The rated armature current of this machine is: (a) 600 A (b) 1200 A (c) 2400 A (d) 3600 A Q3 A 220 V, 7 hp DC series motor has armature resistance (Ra ) and series field resistance (Rse ) of 0.6 Ω and 0.4 Ω respectively. The motor is running at 300 rpm and draws a current of 15 A when supplying a certain load. Neglect rotational losses, and assume that there is no external resistance connected to the armature circuit. The torque developed by this machine is: (a) 97.88 N m (b) 310.4 N m (c) 155.2 N m (d) None of the above EE-306 Major II 171 King Fahd University of Petroleum and Minerals Electrical Engineering Department 3 Q4 In a DC series motor, if the field current is reduced by 50%, the torque of the motor will be: (a) 50 % less (b) the same (c) 75 % less (d) 25 % less Q5 DC machines can operate under any power factor conditions. (a) True (b) False Q6 Suppose a 3-phase synchronous motor is running in a clockwise direction. In case the direction of its field current is reversed (i.e, field excitation is reversed), the result will be: (a) The motor will continue to run in the same direction (b) The motor will run in the reverse direction (c) The winding of the motor will burn (d) The motor will stop Q7 A 3-phase, 230 V, 4 pole, ∆-connected synchronous machine has an induced emf of 225∠150 V. The machine is operating as a: (a) Synchronous motor (b) Load information is required (c) Synchronous generator (d) Cannot be determined EE-306 Major II 171 King Fahd University of Petroleum and Minerals Electrical Engineering Department 4 Q8 Identify the incorrect statement from the following: (a) The frequency of currents in the rotor of a synchronous machine is equal to the stator frequency (b) Synchronous machine having a salient pole rotor type construction has a non-uniform airgap (c) Cylindrical type of rotor construction is suitable for high speed operation (d) Synchronous machines can operate at any power factor Q9 A 3-phase, 200 hp, 2400 V, 60 Hz, 4 pole, Y connected synchronous motor with synchronous reactance of 12 Ω per phase produces a maximum torque of 2575 N-m. The induced emf in the motor is: (a) 1401 V (b) 700 V (c) 2802 V (d) 350 V Q10 A 3-phase, 1500 kVA, 13.2 kV Y-connected synchronous generator, is supplying a real power of 120 kW and a reactive power of 900 kVAR to a 3-phase load. Identify the correct statement about this machine. (a) The field winding of the generator is under-excited (b) The field winding of the generator is over-excited (c) The induced voltage (EMF) in the generator is smaller than the terminal voltage (d) The generator is operating at leading power factor EE-306 Major II 171 King Fahd University of Petroleum and Minerals Electrical Engineering Department 5 Problem 1 [15]. A short-shunt DC generator has armature, shunt field and series field winding resistance of 0.2 Ω, 200 Ω, and 0.1 Ω, respectively. The terminal voltage (or load voltage) is 240 V when the generator’s induced emf is 255 V. Calculate the power delivered to the load. Solution EE-306 Major II 171 King Fahd University of Petroleum and Minerals Electrical Engineering Department EE-306 Major II 171 6 King Fahd University of Petroleum and Minerals Electrical Engineering Department 7 Problem 2 [10+10 = 20]. A 250 V, 1600 rpm, DC shunt motor has an armature resistance of 0.1 Ω and a field resistance of 125 Ω. The motor draws a current of 24 A when delivering rated output at its rated speed. Assume contact voltage drop per brush of 2 V. (a) Calculate the developed power (b) The efficiency of the motor (neglect rotational losses) Solution 1 EE-306 Major II 171 King Fahd University of Petroleum and Minerals 8 Electrical Engineering Department Solution 2 p0 ~ - 53t>3 · 6 w )(\OU - 5363' 6 ________, ,x I O0 (2SDX 1-Y) l V n "'7 ?rnec han ;C'O\. \ EE-306 Major II 171 D UoYL P('1o ~ (j King Fahd University of Petroleum and Minerals Electrical Engineering Department 9 Problem 3 [12+3 = 15]. A 3-phase, 20 kVA, 400 V, 4 pole, 60 Hz, ∆-connected synchronous generator has an armature resistance of 0.25 Ω per phase and a synchronous reactance of 4.0 Ω per phase respectively. The field current and mechanical power are adjusted such that the generator delivers 8 kVAR at 0.85 power factor lagging. (a) Determine the voltage regulation (b) Find the power angle Solution EE-306 Major II 171 King Fahd University of Petroleum and Minerals Electrical Engineering Department EE-306 Major II 171 10 King Fahd University of Petroleum and Minerals Electrical Engineering Department 11 Problem 4 [10+10 = 20]. A 3-phase, 50 hp, 400 V, 60 Hz, Y-connected synchronous motor has a full load efficiency of 88%. The synchronous reactance of the motor is j1.6 Ω per phase where armature resistance is neglected. The excitation of the motor is adjusted so as to give 0.9 leading power factor. Calculate the following at full load conditions: (a) The magnitude of induced emf (line) of the given 3-phase motor (b) The total mechanical power developed Solution !End of Exam Solutions! EE-306 Major II 171