E E 2315: Phasor Circuit Analysis Examples

E E 2315: Phasor Circuit Analysis Examples

E E 2315 Lecture 16 Phasor Domain Circuit Analysis Examples Phasor Node Voltages (1/2) 10030 V 3 j5 -j20 + ~ I 12 ~ 25 V1 - + ~ V2 - 50 A V1 10030 V V1 V1 V2 0

3 j 20 j 5 V2 V1 V2 0 50 A j 5 25 Phasor Node Voltages (2/2) 10030 V 3 50 A 1 1 1 3 j 20 j 5 1 j 5 1

j 5 V 1 1 1 V2 25 j 5 V1 94.2 j 31.5V 99.318.51 V V 101 j 36.2V 10819.67 V 2 Phasor Mesh Currents (1/2) 3 ~ I1 10030 V -j20 j5 ~ I +2 ~ Vc 25 - 10030 V 3 j 20 25 50 A j 20

50 A j 20 I1 25 j5 j 20 I 2 Phasor Mesh Currents (2/2) 3 ~ I1 10030 V -j20 j5 ~ I +2 ~ Vc 25 - I1 2.52 j 6.16 A 6.65112.26 A I 0.94 j1.45 A 1.73123.06 A 2 50 A

Complex Power Calculations * SVs Vs I1 89.7 j 659.3 VA * S V I 507.1 j181.2 VA Is 2 V2 I2 Is S 25 S3 s * 463.9VA 463.9W

* Vs V1 I1 132.8VA 132.8W S j 5 * V1 V2 I 2 j15.0VA 15.0 VAR S j 20 V1 I1 I2 * j 493.0VA 493.0VAR

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