Zjine 1:10 10:1 Vg = 13.84 0° kV Zoad T T2 A 13.8-kV, single-phase generator supplies power to a load through a step-up transformer, a transmisson line, and a step-down transformer as in the figure above. Assume the transformers are ideal. The load's impedance is Zload = 200 L 36.87°, and the transmission line's impedance is Zline = 8 60° What is the efficiency of the transmission system?
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- While the instantaneous electric power delivered by a single-phase generator under balanced steady-state conditions is a function of time havi ng two components of a constant and a double-frequency sinusoid, the total instantaneous electric power delivered by a three-phase generator under balanced steady-state conditions is a constant. (a) True (b) FalseAn infinite bus, which is a constant voltage source, is connected to the primary of the three-winding transformer of Problem 3.53. A 7.5-MVA,13.2-kV synchronous motor with a sub transient reactance of 0.2 per unit is connected to the transformer secondary. A5-MW,2.3-kV three-phase resistive load is connected to the tertiary Choosing a base of 66 kV and 15 MVA in the primary, draw the impedance diagram of the system showing per-unit impedances. Neglect transformer exciting current, phase shifts, and all resistances except the resistive load.Three single-phase two-winding transformers, each rated 25MVA,34.5/13.8kV, are connected to form a three-phase bank. Balanced positive-suence voltages are applied to the high-voltage terminals, and a balanced, resistive Y load connected to the low-voltage terminals absorbs 75 MW at 13.8 kV. If one of the single-phase transformers is removed (resulting in an open connection) and the balanced load is simultaneously reduced to 43.3 MW (57.7 of the original value), determine (a) the load voltages Va,Vb, and Vc; (b) load currents Ia,Ib, and Ic; and (c) the MVA supplied by each of the remaining two transformers. Are balanced voltages still applied to the load? Is the open transformer overloaded?
- Consider a three-phase generator rated 300MVA,23kV, supplying a system load of 240 MA and 0.9 power factor lagging at 230 kV through a 330MVA,23/230Y-kV step-up transformer with a leakage reactance of 0.11 per unit. (a) Neglecting the exciting current and choosing base values at the load of 100 MVL and 230 kV. Find the phasor currents IA,IB, and IC supplied to the load in per unit. (b) By choosing the load terminal voltage IA as reference, specify the proper base for the generator circuit and determine the generator voltage V as well as the phasor currents IA,IB, and IC, from the generator. (Note: Take into account the phase shift of the transformer.) (C) Find the generator terminal voltage in kV and the real power supplied by the generator in MW. (d) By omitting the transformer phase shift altogether, check to see whether you get the same magnitude of generator terminal voltage and real power delivered by the generator.A single-phase 50-kVA,2400/240-volt,60-Hz distribution transformer is used as a step-down transformer at the load end of a 2400-volt feeder whose series impedance is (1.0+j2.0) ohm. The equivalent series impedance of the transformer is (1.0+j2.5) ohms referred to the high-voltage (primary) side. The transformer is delivering rated load at a 0.8 power factor lagging and at a rated secondary voltage. Neglecting the transformer exciting current, determine (a) the voltage at the transformer primary terminals, (b) the voltage at the sending end of the feeder, and (c) the real and reactive power delivered to the sending end of the feeder.Which termination would result to a phase change of 180 degrees at the load if Zo = 100 ohm? a. 50 ohm b. short circuit c. 75 ohm d. all of these What is the purpose of impedance matching? a. maximum return loss b. maximum SWR c. maximum load power d. maximum reflection A short piece of transmission line that may be open or shorted and used for impedance matching purposes. a. converter b. decoder c. stub d. transformer
- 2. A 100 MVA, 18 kV generator, with per unit reactance of X”d= 0.19, X’d = 0.26, and Xd = 1.3 is connected through acircuit breaker to a transformer rated 100 MVA, 240Y/18 kV,X = 0.10 per unit. It is operating at no load and ratedvoltage when a three-phase short circuit occurs at the highvoltage side of the transformer. Find the initialsymmetrical rms current in the line on the low voltageside.3) A 120 KVA three -phase transformer (three -phase power), 13200/480 V (line a line) in delta-strella connection has a resistance of 1.3% and a reactance of 8.2% per unit. a) Calculate the phase impedance of the transformer referred to the bass side voltage. b) Calculate the phase impedance of the transformer referred to the high side voltage. c) Calculate the efficiency of the transformer into nominal conditions and with F.P. 0.8 in delay. Three -phase loss in the nucleus is 1500 W.Two synchronous machines are connected through three phase transformer to the transmission line as given in Fig. The ratings and reactance’s of the machines and transformers are: Machines 1 and 2: 100 MVA; 20 kV; Xd”=X1=X2=20%; X0 = 4%; Xn= 5% Transformers T1 and T2 : 100MVA; 20 / 345 kV ; X=8% The line reactance’s are X1=X2= 15% and X0=50%. The system is operating at nominal voltage without prefault currents when a single line to ground fault occurs on the phase ‘a’ at bus 3 with fault impedance (Zf ) 0.8 p.u. Determine the subtransient current to ground at the fault and draw the sequence network.
- L-type equivalent circuit and parameters for a continuous sinusoidal phase of a 5.5 kW, 1450 rpm, line voltage 220 V and frequency 50 Hz star-connected 3-phase ASM, ignoring core (iron) losses given as follows: R1=0.21 Ohm, R2=0.18 Ohm, X1=X2=0.66 Ohm and Xm=9.9 Ohm How many times the inrush current will be the rated current when the ASM is started directly?A 50 MVA, 11/132 kV three-phase, 50 Hz, generator transformer has guaranteed parameters as, load loss 160 kW at full load at 75°C, no load loss 30 kW and percentage reactance 9% at rated load. Calculate the following:*percentage regulation a full load and unity power factor*percentage regulation at 3/4 load and 0.85 lagging power factor*efficiency at full load and unity power factor*efficiency at 3/4 load and 0.85 lagging power factor(Use 5 decimal places)How to generate 480V three phase 400Hz ac from 230V three phase 60Hz ac source? (Please specify the power components you pick, such as transformers, dc-dc converter, dc-ac converter and/or ac-dc converter, how these components are connected and the key parameters of these components, such as the turns ratio of transformer and the duty cycle functions for the converters.)