An inductive load with impedance Z is connected to a single-phase 50Hz, 230V AC supply as shown in Figure 1. If the load draws 7.5 kW at a power factor of 0.65 lagging: i) Determine the supply current (/) in complex form. ii) Determine the supply apparent power (S) in complex form. iii) Determine the load impedance (Z). iv) Draw the power triangle showing numerical values of the complex power. If a capacitor is connected in parallel across the load to correct the power factor to 0.9: v) Draw the power triangle of the compensated system. vi) Calculate the capacitor size (C). vii) Find the new supply current (/) in complex form. V=23020⁰0 Figure 1 N

An inductive load with impedance Z is connected to a single-phase 50Hz, 230V AC supply as shown in Figure 1. If the load draws 7.5 kW at a power factor of 0.65 lagging: i) Determine the supply current (/) in complex form. ii) Determine the supply apparent power (S) in complex form. iii) Determine the load impedance (Z). iv) Draw the power triangle showing numerical values of the complex power. If a capacitor is connected in parallel across the load to correct the power factor to 0.9: v) Draw the power triangle of the compensated system. vi) Calculate the capacitor size (C). vii) Find the new supply current (/) in complex form. V=23020⁰0 Figure 1 N

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 2.17P: Consider a load impedance of Z=jwL connected to a voltage and V let the current drawn be I. (a)...

See similar textbooks

Similar questions

Consider a load impedance of Z=jwL connected to a voltage and V let the current drawn be I. (a) Develop an expression for the reactive power Q in terms of ,L, and I, from complex power considerations. (b) Let the instantaneous current be i(t)=2Icos(t+). Obtain an expression for the instantaneous power p(t) into L, and then express it in terms of Q. (c) Comment on the average real power P supplied to the inductor and the instantaneous power supplied.
The voltage v(t)=359.3cos(t)volts is applied to a load consisting of a 10 resistor in parallel with a capacitive reactance XC=25. Calculate (a) the instantaneous power absorbed by the resistor, (b) the instantaneous power absorbed by the capacitor. (c) the real power absorbed by the resistor, (d) the reactive power delivered by the capacitor, and (e) the load power factor.
A balanced -connected impedance load with (12+j9) per phase is supplied by a balanced three-phase 60-Hz,208-V source, (a) Calculate the line current, the total real and reactive power absorbed by the load, the load power factor, and the apparent load power, (b) Sketch a phasor diagram showing the line currents, the line-to-line source voltages, and the -load currents. Use Vab as the reference.
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 to
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.
Two balanced loads are connected to a 240-kV rms 50-Hz line. Load 1 draws 30 kW at a power factor of 0.6 lagging, while load 2 draws 45 kVAr at a power factor of 0.8 lagging. Assuming the RYB sequence, determine: (a) the complex, real, and reactive powers absorbed by the combined load, (b) the line currents, and (c) the kVAr rating of the three capacitors ∆-connected in parallel with the load that will raise the power factor to 0.9 lagging and the capacitance of each capacitor. Verify the results by creating a MATLAB Simulink model and program. Obtain the plots for the currents and voltages
Under balanced operating conditions, consider the 3-phase complex power delivered by the 3-phase source to the 3-phase load. Match the following expressions, those on the left to those on the right. 0) Real power, Py (ii) Reactive power, Qu (ii) Total apparent power Sy (iv) Complex power, Sy (a) (V3 VLL. IL)VA (b) (V3 Vu sng) var (e) (V3 VLL. IL cos ø) W (d) Py +Qy Note that VLL is the rms line-to-line voltage, IL is the ms line current, and o is the power-factor angle.
A three-phase, 3-wires CBA System alternator, sending 3-phase voltages of 339.4 volt to the lines, having a delta connected load, with VCA is the reference vector. ZBC = 12.99 – j7.5 ZCA = 8.66 + j5 ZAB = 10 + j0 Determine the phase and line current b) draw the phasor diagram and c) true power generates by the generator neglect the line losses.
S.1) The serial impedance per phase of a three-phase 45 km energy transmission line is 2 + j4 / phase. A load with a power factor of cos2 = 0.8 forward is fed from the end of the line. Since the line voltage at the beginning and end of the line of the energy transmission line is wanted to be kept constant at 115 kV, a) Active and reactive powers drawn from the beginning and end of the line, b) Calculating the power consumed along the energy transmission line and the efficiency of the line. S.2) Line constants of an energy transmission line are given as A = D = 0.8746 + j0, B = 0 + j128.34, C = j0.0018316 S. At the beginning of the line, it is desired to write 1920 MW active power and 600 MVAr reactive power lines under 7650kV line voltage. According to this business, a) Calculate the line end magnitudes (U2, I2 and P2). b) What value does the end voltage take when the load fed from the end of the line is deactivated? S.3) The length of a phased energy transmission line with a…
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 transmission line has an actual impedance of 18 ohms, compute for the per unit impedance of this line assume Vbase = 2400, Sbase = 100kVA power factor at unity p.f. round answer to 4 decimal places.
A generating station has a maximum demand of 25,000 kW. Calculate the cost per unit generatedfrom the following data: Capital cost = P 120M; Annual load factor = 45%; Annual cost of fuel and oil = P6.5M ; Taxes, wagesand salaries etc. = P6M and Interest and depreciation = 13%