# Lecture 19 - CF Number of Turns and Cross Section of Core...

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Unformatted text preview: CF Number of Turns and Cross Section of Core UCF From ax ax max max max , 44 . 4 2 V V A A fNB fN V s s c rms ≈ = φ π max max , max max , 44 . 4 2 fB fB NA rms rms c ≈ = ⇒ π CF Apparent Power Rating UCF CF Current Inrush at Start-up (1) UCF ) cos( 2 ) ( max , φ α ω = + = dt d N t V t v P rms P Transient )] sin( ) [sin( 2 ) ( 1 ) ( max , α α ω ω φ − + = = ∫ t N V dt t v N t P rms t P P . 2 is peak ), sin( 2 (t) , If ax max , max , φ ω φ α = = = rms rms V t V No problem! max φ ω ω φ P P N N max , max , )]. 2 sin( ) [cos( 2 (t) ), sin( 2 ) ( or 2 If π ω ω φ ω π α + = = − = rms rms P t N V t V t v max max , 2 2 2 , 2 t at φ ω φ π ω × = × = = P rms P N V Will induce very high inrush current! CF Current Inrush at Start-up (2) UCF ) sin( 2 ) ( ax t V t v s ω = max , rms P CF Magnetic Loss (1) UCF /kg) ensity flux r ted ensity ower l ss re here ) Vol ( = ⋅ = m m m m p P γ core the of volume Vol ) (kg/m density material core (W/ g) de s ty u ated...
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Lecture 19 - CF Number of Turns and Cross Section of Core...

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