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Fundamentals Of Energy Systems THQ1 Q1
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- Consider two interconnected voltage sources connected by a line of impedance Z=jX, as shown in Figure 2.27. (a) Obtain expressions for P12 and Q12. (b) Determine the maximum power transfer and the condition for it toExplain the principles of power quality in electrical systems and the factors affecting it, including harmonics and voltage sags.A three-phase alternator connected in delta of 100 KVA and 635 volts is tested for OCC, SCC and winding resistance, giving the following data: Based on the above data, obtain: a) - Equivalent circuit per phase of the alternator b) - Voltage regulation when operating at full load and feeding a load with power factor of 0.8 inductive. c) - Voltage regulation when operating at full load and feeding a load with unity power factor. d) - Voltage regulation when operating at full load and feeding a load with a power factor of 0.8 capacitive.
- Problem 5 Consider a three winding transformer with the following particulars: = Z₁ Z2 Z3 =0.02 + j0.08 £, V₂ = 400 V, 12 = 60/30° A, and I3 = 50/-40° A. Assume that V₂ is the reference phasor, calculate: The intermediate voltage Vo. a. b. The primary current I₁ and the primary voltage V₁. c. The tertiary voltage V3 referred to the primary side. d. The apparent powers and the power factors at the primary, secondary and tertiary terminals. e. The transformer efficiency.1. A single-phase power system as shown in Figure 1 consists of a 240 V, 60 Hz generator supplying a load, Zod = 8 + j6 Q through a transmission line of impedance, Zne = 0.08 + j0.14 Q. Answer the following questions: (1) transformer, T; and T2. Determine the voltage at the load and transmission line losses without the (ii) Determine the voltage at the load and transmission line losses with the transformer, T, and T2. T1 T2 1:10 10:1 IG Zaine Zioad source Figure 18. The two winding transformer and the autotransformer of the circuit shown in Figure are ideal. Determine the conducting and transformed currents of auto transformer. N1=200 NBC=20 N2=100 NBA=30 10A 200 V 50,Hz N1 : N2 lell
- 6- a. b..A three phase star connected alternator of 1000 KVA, and 4600 volts, has an armature resistance of 2 ohms per phase and an armature synchronous reactance of 20 ohms per phase. Find the voltage generated at full load per phase if : a) Supplies power to a purely resistive load b) If you feed a load with inductive power factor of 0.85 c) If you feed a load with a capacitive power factor of 0.75 d) If you feed a load with capacitive power factor 0.4Chapman Problem 3-4. A single-phase power system is shown in the figure below. The power source feeds a 100-kVA, 14/2.4-kV transformer through a feeder impedance of 38.2 + j140 N. The transformer's equivalent series impedance referred to its low-voltage is 0.12 + j0.5 N. The load on the transformer is 90 kW at 0.85 PF lagging and 2300V. а. What is the voltage at the power source of the system? b. What is the voltage regulation of the transformer? How efficient is the overall power system? С.
- Q. 4 : (A) / A 100 kVA, 1100/220 V, 50 Hz, single-phase transformer has a leakage impedance of (0.1 + j0.40) ohm for the H.V. winding and (0.006 +j 0.015) ohm for the L.V. winding. Find the equivalent winding resistance, reactance and impedance referred to the H.V. and L.V. sides.Q2) A 13.2-kV single-phase generator supplies power to a load through a transmission line. The load's impedance is Zload = 500 236.87° ohm, and the transmission line's impedance is Zline = 60 253.1° ohm. To reduce transmission line losses to 0.0103 of its losses without using the transformers design and use two transformers T1 between the generator and the transmission line and T2 between the transmission line and the load.Show how you can connect two single-phase transformers to obtain 3-phase output from a 2-phase power source. Identify all windings and taps.