1. Explain advantages of the three-phase power systems compared with the single-phase.
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Fundamentals of Energy Systems HW3 Q1
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- Explain the principles of power quality in electrical systems and the factors affecting it, including harmonics and voltage sags.Q4/For the three-phase power network shown in Figure. the various components are: GI: 100 MVA, 0.30 pu reactance. G2: 60 MVA, 0.18 pu reactance. Transformers (cach): 50 MVA, 0.10 pu reactance. Inductive reactor X: 0.20 pu on a base of 100 MVA. Lines (each): 80 ohms (reactive); neglect resistance. with the network initially unloaded and a line voltage of 110 kV, a symmetrical short circuit occurs at midpoint E of line 2. Calculate the short circuit MVA to be interrupted by the circuit breakers A and B at the ends of the line. T3 38 L1 L2 G2 Bas 12 T4 Bus60. An RLC series circuit connected to a 110-volt and 50-cycle AC source, contains the following series resistances and reactances: R1=10 ohm, R2= 15, XL1=20 ohms, XL2=25 ohms, XC= 40 ohms. Find the real power. a. 65.3899 b. 392.4372 c. 397.848 d. 588.6559
- 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 toThe dc armature resistance of delta-connected alternator measured across its two terminal is 0.8 ohm. The effective resistance per phase is?8. 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
- Example 2-3. A simple power system is shown in Figure 2–22. This system con- tains a 480-V generator connected to an ideal 1:10 step-up transformer, a transmission line, an ideal 20:1 step-down transformer, and a load. The impedance of the transmission line is 20 + j60 N, and the impedance of the load is 10230°N. The base values for this system are chosen to be 480 V and 10 kVA at the generator. (a) Find the base voltage, current, impedance, and apparent power at every point in the power system. (b) Convert this system to its per-unit equivalent circuit. (c) Find the power supplied to the load in this system. (d) Find the power lost in the transmission line. line Iload Zioad = 10 Z 30°N 20Ω j60 N 1:10 20:1 Zine VG 480 Z0° V Region 1 Region 2 Region 3Subject is Power system Analysis.If 3-phase transfomer configuration in figure in has the givens as listed below: E-line on high side = 480V, turns ration = 2:1/coil, resistance per load =10, efficienscy = 100%. E/coil on the high side is _____, E/coil on the low side is___, E-phase on the low side is____, E/resitor of the load is____,(a-480v, b-240v, c-120 d-69.28v) I/resitor on the load is____, I-line on the low side is___, I-phase on the low side is____, I/coil on the low side is____(a-2A b-4A c-6.93 d-12A), I-phase on the high side is____, I-line on the high side is____(a-1A b-1.73A c-2A d-4A), Va/phase of the load is____, 3-phase Va on the high side is____(a-120VA b-360VA c-480VA d-1440VA).
- 1.3 A single-phase AC generator feeds a load. The generator may be modeled as an ideal sinusoidal voltage source (Ef volts) in series with an ideal inductance (X 2 ohms) and a small winding resistance (Ra=0.5 ohms). The load draws a current of (IL = 10 amps) with a power factor of 80% lagging at a fixed load voltage (VL 240 volts). The voltages and current just mentioned are all in their rms values. Draw and label the circuit, write down the governing equation(s) and draw an appropriate phasor diagram for this operation. Calculate the angle between phasors Ef and V₁. Neglect the resistance Ra and calculate the power flow from the source to the load by using the formula V₁| |V₂| X12 P = = = sin (8). Compare this value with the load power calculated from V I cos (0).2.1 Determine the value of the slope of CTAT.Answer: