Chapter 6, Problem 6.2PT

HANDWRITTEN SOLUTION NO

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Each branch of a three-phase star-connected load consists of a coil of resistance 4.2 Ω and reactance 5.6 Ω. The load is supplied at a line voltage of 400 V, 50 Hz. The total active power supplied to the load is measured by the two-wattmeter method. Draw a circuit diagram of the wattmeter connections and calculate their separate readings. Derive any formula used in your calculations. ANS: 13.1 kW, 1.71 kW

Three non-reactive loads are connected in delta across a three-phase, three-wire, 400 V supply in the following way: (i) 10 kW across R and Y lines; (ii) 6 kW across Y and B lines; (iii) 4 kW across B and R lines. Draw a phasor diagram showing the three line voltages and the load currents and determine: (a) the current in the B line and its phase relationship to the line voltage VBR; (b) the reading of a wattmeter whose current coils are connected in the B line and whose voltage circuit is connected across the B and R lines. The phase rotation is R–Y–B. Where would a second wattmeter be connected for the two-wattmeter method and what would be its reading? ANS:  21.8 A, 36°35′ lagging; 7 kW; 13 kW

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A factory has the following load with power factor of 0.85 lagging in each phase. Between the red and yellow phases 40 A, between the yellow and blue phases 50 A, and between the blue and red phases 60 A. If the supply is 415 V, three-phase, calculate the line currents. Draw a phasor diagram for phase and line quantities. Ensure to draw all necessary diagrams ANS: IR = 87.178<-68.380 A; IY = 78.102<-178.120 A; IB = 95.394<61.210 A.

Answer question D only using by hand  first darw cylinder then calculate show me st

The phase currents in a delta-connected three-phase load are as follows: between the red and yellow lines, 30 A at p.f. 0.707 leading; between the yellow and blue lines, 20 A at unity p.f.; between the blue and red lines, 25 A at p.f. 0.866 lagging. Calculate the line currents and draw the complete phasor diagram. ANS:  21.6 A in R, 49.6 A in Y, 43.5 A in B

. Two wattmeters connected to measure the input to a balanced three-phase circuit indicate 2500 W and 500 W respectively. Find the power factor of the circuit: (a) when both readings are positive; (b) when the latter reading is obtained after reversing the con nections to the current-coil of one instrument. Draw the phasor and connection diagrams. ANS:  0.655, 0.359