(a) Based on the relationship between the line and phase value of currents and voltage, show that the active power input to a three-phase balance load is V3VIcosø, where V and I are line quantities. (b) A balanced Y-connected load has phase voltage of 230 V and positive phase sequence. The impedances Za, Zs, and Zc are 10230° N, respectively. (i) By taking Vas on the load side as a reference, determine all the line currents and phase voltages and line voltages. (ii) Determine total real power, P, total reactive power, Q and total apparent power, S of the system. (iii) Total real power of the loads can be measured using two wattmeter methods. Draw the connection of the two wattmeters if their current coils are in line A and C, respectively. What is the total real power measured by each wattmeter? Prove and compare the value with Q2(b)(i11).

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Author:Robert L. Boylestad
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Q2
(a) Based on the relationship between the line and phase value of currents and voltage, show
that the active power input to a three-phase balance load is v3VIcose, where V and I are
line quantities.
(b) A balanced Y-connected load has phase voltage of 230 V and positive phase sequence.
The impedances Za, Za, and Zc are 10230° N, respectively.
(i)
By taking VaB on the load side as a reference, determine all the line currents and
phase voltages and line voltages.
(ii)
Determine total real power, P, total reactive power, Q and total apparent power,
S of the system.
(iii) Total real power of the loads can be measured using two wattmeter methods.
Draw the connection of the two wattmeters if their current coils are in line A
111
and C, respectively. What is the total real power measured by each wattmeter?
Prove and compare the value with Q2(b)(ii).
Transcribed Image Text:Q2 (a) Based on the relationship between the line and phase value of currents and voltage, show that the active power input to a three-phase balance load is v3VIcose, where V and I are line quantities. (b) A balanced Y-connected load has phase voltage of 230 V and positive phase sequence. The impedances Za, Za, and Zc are 10230° N, respectively. (i) By taking VaB on the load side as a reference, determine all the line currents and phase voltages and line voltages. (ii) Determine total real power, P, total reactive power, Q and total apparent power, S of the system. (iii) Total real power of the loads can be measured using two wattmeter methods. Draw the connection of the two wattmeters if their current coils are in line A 111 and C, respectively. What is the total real power measured by each wattmeter? Prove and compare the value with Q2(b)(ii).
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