a) The network shown in Figure 1 has a total active power of 2253 W. Determine: i) the total impedance, ii) the supply current, iii) the apparent power, iv) the reactive power, v) the circuit power factor, vi) the capacitance of the capacitor to be connected in parallel with the network to improve the power factor to 0.90 lagging, if the supply frequency is 50 Hz. I O 492 3 Ω ΠΩ 1592

a) The network shown in Figure 1 has a total active power of 2253 W. Determine: i) the total impedance, ii) the supply current, iii) the apparent power, iv) the reactive power, v) the circuit power factor, vi) the capacitance of the capacitor to be connected in parallel with the network to improve the power factor to 0.90 lagging, if the supply frequency is 50 Hz. I O 492 3 Ω ΠΩ 1592

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 2.30P: Figure 2.26 shows three loads connected in parallel across a 1000-V(RMS),60Hz single-phase source....

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Figure 2.26 shows three loads connected in parallel across a 1000-V(RMS),60Hz single-phase source. Load 1: Inductive load, 125kVA,0.28PF lagging. Load 2: Capacitive load, 10kW,40kvar. Load 3: Resistive load, 15kW. (a) Determine the total kW, kvar, kva, and supply power factor. (b) In order to improve the power factor to 0.8 lagging. a capacitor of negligible resistance is connected in parallel with the above loads. Find the kvar rating of that capacitor and the capacitance in F. Comment on the magnitude of the supply current after adding the capacitor.
The network shown in Figure 1 has a total active power of 2253W. Determine (a) the totalimpedance, (b) the supply current, (c) the apparent power, (d) the reactive power, (e) thecircuit power factor, (f) the capacitance of the capacitor to be connected in parallel withthe network to improve the power factor to 0.90 lagging if the supply frequency is 50 Hz.
A 20 non-reactive resistor is connected in series with a coil ofinductance 80 mH and negligible resistance. The combinedcircuit is connected to a 200 V, 50 Hz supply. Calculate (a) thereactance of the coil, (b) the impedance of the circuit, (c) thecurrent in the circuit, (d) the power factor of the circuit, (e) thepower absorbed by the circuit, (f) the value of a power factorcorrection capacitor to produce a power factor of unity and (g)the value of a power factor correction capacitor to produce apower factor of 0.9. Design the corresponding circuit that willgive a 0.9 Pf.
A 20 non-reactive resistor is connected in series with a coil of inductance 80 mH andnegligible resistance. The combined circuit is connected to a 200 V, 50 Hz supply.Calculate (a) the reactance of the coil, (b) the impedance of the circuit, (c) the current inthe circuit, (d) the power factor of the circuit, (e) the power absorbed by the circuit, (f) thevalue of a power factor correction capacitor to produce a power factor of unity and (g) thevalue of a power factor correction capacitor to produce a power factor of 0.9.
A sinlge phase load consist of a coil having a resistance of 10 Ω and an inductance of 100 mH. The coil is connected to a 150 V, 50Hz AC supply. Determine: (i) the impedance of the coil ; (ii) the current drawn by the coil; (iii) the apparent power; (iv) the active ower; (v) the reactive power; (vi) the power factor. (vii) also draw the power triangle and label all the values.
A 5-ohm resistor is connected in series with a 25 micro-farad capacitor. A source voltage of158 volts, 50 Hz supplies the combination. Determine the following: e. Reactive power supplied by the sourcef. Apparent power of the circuitg. Power factor of the entire circuit
A parallel circuit of 25 – ohm resistor, 64 – mH inductor and 80 - μF capacitor connected across a 110 V, 50 Hz, single phase supply is shown in the figure below. Calculate: a.) the current in the individual elementb.) the total current drawn from the supply c.) overall power factor of the circuit. Draw a neat phasor diagram showing IR, IL and IC.
The impedance of an electrical circuit is (30 − j50) ohms. Determine (a) the resistance, (b) the capacitance, (c) the modulus of the impedance, and (d) the current flowing and its phase angle, when the circuit is connected to a 240V, 50 Hz supply.
A parallel circuit of 25 – ohm resistor, 64 – mH inductor and 80 - μF capacitor connected across a 110 V, 50 Hz, single phase supply is shown in the figure below. Calculate: a.) the current in the individual element, b.) the total current drawn from the supply, c.) overall power factor of the circuit. Draw a neat phasor diagram showing IR, IL and IC.
The average load of a dairy plant at 11 kV, 50 Hz is 950 kW at 80 percent power factor but the maximum contract load of plant is 1200 kW. As per local electricity regulating authorities norms, consumer must keep the power factor of 95 percent to avoid any poor power factor penalty. Determine the following (i) Rating of capacitor bank (in kVAr) (ii) The capacitance of the capacitor bank (in micro Farad) (iii) Explain why the power factor becomes low and how the capacitor bank will assists to improve the power factor?
A 3-phase, 50 Hz, 3000 V motor develops 600 H.P. (447·6 kW), the power factor being 0·75 lagging and the efficiency 0·93. A bank of capacitors is connected in delta across the supply terminals and power factor raised to 0·9 lagging. Each of the capacitance units is built of five similar 600-V capacitors. Determine the leading Kvar taken by each three sets.
5) The power was taken by a C–R series circuit, when connected to a 105V, 2.5 kHz supply, is 0.9kW and the current is 15A. Calculate (a) the resistance, (b) the impedance, (c) the reactance, (d) the capacitance, (e) the power factor, and (f) the phase angle between voltage and current.