Two impedances Z 1 and Z 2 , when connected separately across a 230 volt, 50 Hz supply consumed 100 watts and 60 watts at power factors of 0.5 lagging and 0.6 leading respectively. If these impedances are connected in parallel across 230 volt, 60 Hz supply, find: (a) total power absorbed and overall power factor; (b) the value of a reactance to be further connected in series with the two to make the overall power factor to be unity

Two impedances Z 1 and Z 2 , when connected separately across a 230 volt, 50 Hz supply consumed 100 watts and 60 watts at power factors of 0.5 lagging and 0.6 leading respectively. If these impedances are connected in parallel across 230 volt, 60 Hz supply, find: (a) total power absorbed and overall power factor; (b) the value of a reactance to be further connected in series with the two to make the overall power factor to be unity

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.30MCQ: Under balanced operating conditions, consider the three-phase complex power delivered by the...

See similar textbooks

Similar questions

Two impedances Z 1 and Z 2 , when connected separately across a 230 volt, 50 Hz supply consumed 100 watts and 60 watts at power factors of 0.5 lagging and 0.6 leading respectively. If these impedances are connected in parallel across 230 volt, 60 Hz supply, find: (a) total power absorbed and overall power factor; (b) the value of a reactance to be further connected in series with the two to make the overall power factor to be unity.COMPLETE SOLUTION PLEASE
S.2) The serial impedance of the 300 km power transmission line is 23 + j75 ohm / phase and the shunt acceptance is j500 microS / phase. A power of 50 MW with a power factor of 0.88 under 220 kV interphase voltage from the end of the power transmission line being shot. Using these data of the energy transmission line, a) Characteristic impedance of the energy transmission line, b) Natural apparent power of the energy transmission line according to the 220 kV interphase operating voltage, c) The values of the line parameters A, B, C and D of the transmission line using hyperbolic functions, d) Calculate the maximum power that the power transmission line can transmit.
a) You have been employed as an electrical engineer by a power transmission company to design a short transmission line to supply power to a light-industrial load consumer with power system specification as follows, a 3-ph, 60Hz overhead short transmission line with a line-to-line voltage of 23KV at the load end, line impedance of 2.48 ±j6.57Ω/phase, the industry has a cumulative consumption of 9MW with a power factor of 0.85 of lagging as a result of several induction motor on its production lines.As part of the regulations for connections to the grid, you are to provide justifications and values to the Energy Commission of Ghana.(i) What would be value of the voltage between the live conductor and the neutral, between live and live voltages at the industrial premises of the factory?(ii) What load angle would expect the factory to be operating at?
A load impedance, Zo = 10 + j 3 ohm, is connected to a source with line resistance equal to 3 ohm, as shown in the figure. Determine the average powers delivered to the load and absorbed by the line. The average powers delivered to the load and absorbed by the line are ________ and ____________ , respectively.
Consider an ac network with an ideal transformer (with turns ratio of n:1) shown below where ZL=(1+j0) is the load impedance and Zs=(7−j24). Ideal transformer turns ratio n is chosen so that the average power delivered to the load is maximized. Under this scenario, the average power delivered to the load is given by
The feeder is to be used with an antenna for which an inductive reactance is measured as j60 Ohms at 1.7 MHz. The resistive part of the antenna’s impedance is measured as 80 Ohms. Using the online impedance matching calculator, design a suitable impedance-matching network for each of the two cables if the coaxial cable has a characteristic impedance of 75 Ohms and the twin lead cable has a characteristic impedance of 300 Ohms, so that the inductance is in the longitudinal branch, while the capacitor is in the transversal branch of the impedance matching network. Do not round the resulting values.
From the circuit given below, How can I find the value of load Z for the maximum power transfer and the maximum average power transferred?
Under balanced operating conditions, consider the three-phase complex power delivered by the three-phase source to the three-phase load. Match the following expressions, those on the left to those on the right. (i) Realpower, P3 (a) (3VLLIL)VA (ii) Reactive power, Q3 (b) (3VLLILsin)var (iii) Total apparent power, S3 (c) (3VLLILcos)W (iv) Complex power, S3 (d) P3+jQ3 Note that VLL is the rms line-to-line voltage, IL is the rms line current, and is the power-factor angle.
A small manufacturing plant is located 2 km down a transmission line, which has a series reactance of 0.5/km. The line resistance is negligible. The line voltage at the plant is 4800V(rms). and the plant consumes 120kW at 0.85 power factor lagging. Determine the voltage and power factor at the sending end of the transmission line by using (a) a complex power approach and (b) a circuit analysis approach.
In the circuit given on the side Ra=Rb=Rc=Basic frequency of 13 Ohm loadsit is powered by an AC voltage of f= 60 Hz. Power derived from the sourceits value was measured as Pk=9372.12 Watts. Each switchingthe element is triggered in such a way that it will be at 180 degrees.The DC bus voltage (E=?) and the effective value of the ic phase current(ic rms=?) calculate.
An electrical motor is supplied from a three-phase ,50 Hz, 410 V system on-board a LNG carrier .When connected in star , it takes a line current of 35 A at a power factor of 0.66 leading. The LNG carrier arrives at port and the motor is subsequently used for powering a container crane It is now connected in delta and is supplied on-shore .Determine for this motor when it takes 64 A at 310 V, from the on-shore supply: 2.1 The power factor of the motor 2.2 the frequency of the supply The motor is returned back to its initial supply and now connected with a new motor in parallel . The new motor is connected in delta and it takes 48.216 kVA at a power factor of 0.77597 lagging with a supply of 50 Hz, 410 V system. Determine for this new arrangement : 2.3 The power factor 2.4 Apparent power taken 2.5 True power taken 2.6 Reactive power taken
An AC generator having an internal resistance of 2 k*(omega) is connected to an LCR circuit in series as shown in the figure. If the generator supplies an electromotive force, E = 282 sen (100*pi*t) volt, calculate:a) the impedance of the circuitb) the rms value of the current in the circuitc) the voltage drop across L, C and R