Instantaneous Power

# Instantaneous Power - Power in Single Phase, 2-Phase and...

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0 5 10 15 20 25 30 200 0 200 400 600 Single Phase Power Time Power P a t () 10 watt 2 V rms volt sin ω t ⋅θ v + 2 I rms sin ω t i + amp tms 1 0 5 10 15 20 25 30 2 0 2 4 6 Single Phase Power Time P a t kW V rms I rms cos θ v θ i kW 1 P c t 2 V rms sin ω t v + 120 deg + 2 I rms sin ω t i + 120 deg + := P b t 2 V rms sin ω t v + 120 deg 2 I rms sin ω t i + 120 deg := P a t 2 V rms sin ω t v + 2 I rms sin ω t i + := kVAR kW kVA kW ms 10 3 sec ω 2 π freq := t0 m s 0.05 ms , 30 ms .. := θ i 40 deg := θ v 0 deg := I rms 20 amp := V rms 120 volt := freq 60 Hz := Instantaneous Power: January-17-2008, by Dr. M. Giesselmann Power in Single Phase, 2-Phase and 3-Phase Systems:

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0 5 10 15 20 25 30 2 0 2 4 6 Single Phase and 3-Phase Power Time Power P a t () P b t () + P c t + kW P a t kW P b t kW P c t kW tms 1
3V rms I rms cos θ v θ i () 5.516 kW = Total 3-phase Real Power P a t P b t + P c t + P tot = rms I rms cos θ v θ i = Therefore we get: V rms I rms cos 2 ω t ⋅θ v + 120 deg −θ i + V rms I rms cos 2 ω t v + 240 deg i + V rms I rms cos 2 ω t v i + The terms below constitute a balanced 3-Phase system and add to zero at any given moment: P c t V rms I rms cos θ v θ i V

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## This note was uploaded on 04/21/2008 for the course EE 4343 taught by Professor Giesselmann during the Spring '08 term at Texas Tech.

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Instantaneous Power - Power in Single Phase, 2-Phase and...

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