13. A three phase source supplies power to a delta connected load (Z1, Z2, Z3), through the unbalanced feeder lines. If Z1 and Z3 dissipates 10kVA at 0.8 pf lagging and 8kW at unity pf, respectively. Determine: a. lb b. lab, Ica c. Va'b', Vb'c', Vc'a' d. Z1, Z2, Z3 e. Szz f. Vab, Vbc, Vca a b 30 2020⁰ A M j120 5.0 /15/02 W 24/100⁰ A M j100 2₂ Z₂ 2₂ 122-65° A Ica

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13. A three phase source supplies power to a delta connected load (Z1, Z2, Z3), through the unbalanced feeder lines. If Z1 and
Z3 dissipates 10kVA at 0.8 pf lagging and 8kW at unity pf, respectively. Determine:
a. lb
b. lab, Ica
c. Va'b', Vb'c', Vc'a'
d. Z1, Z2, Z3
e.
Szz
f. Vab, Vbc, Vca
a
b
30
2020⁰ A
M
j120
5.0
/15/02
W
24/100⁰ A
M
j100
2₂
Z₂
2₂
122-65° A
Ica
Transcribed Image Text:13. A three phase source supplies power to a delta connected load (Z1, Z2, Z3), through the unbalanced feeder lines. If Z1 and Z3 dissipates 10kVA at 0.8 pf lagging and 8kW at unity pf, respectively. Determine: a. lb b. lab, Ica c. Va'b', Vb'c', Vc'a' d. Z1, Z2, Z3 e. Szz f. Vab, Vbc, Vca a b 30 2020⁰ A M j120 5.0 /15/02 W 24/100⁰ A M j100 2₂ Z₂ 2₂ 122-65° A Ica
13.
a.
Ib = 28.4482cis-123.8166°
b. la'b' = 24.4904cis31.39984°
A
A
Ic'a' = 12.7917cis85.9481° A
Va'b' = 408.3227cis68.2697° V
Vb'c' = 1021.9974cis-101.0206° V
Vc'a' = 625.4072cis85.9481° V
d. Z1 = 16.6727cis36.8669° Ohms
Z2 = 85.1665cis-36.0206° Ohms
Z3 = 48.89177 Ohms
Szz = 12.2640cis-36.0206⁰ kVA
Vab= 873.0062cis87.4953° V
Vbc = 1358.3557cis-74.9364° V
Vca = 588.3761cis131.6702° V
f.
Transcribed Image Text:13. a. Ib = 28.4482cis-123.8166° b. la'b' = 24.4904cis31.39984° A A Ic'a' = 12.7917cis85.9481° A Va'b' = 408.3227cis68.2697° V Vb'c' = 1021.9974cis-101.0206° V Vc'a' = 625.4072cis85.9481° V d. Z1 = 16.6727cis36.8669° Ohms Z2 = 85.1665cis-36.0206° Ohms Z3 = 48.89177 Ohms Szz = 12.2640cis-36.0206⁰ kVA Vab= 873.0062cis87.4953° V Vbc = 1358.3557cis-74.9364° V Vca = 588.3761cis131.6702° V f.
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