[EP] ETXERAKO LANA (2010/02/25) orain arte ikusitakoaren berrikuspena

ISARE (J1)1 (J1)2 (J1)3 λ ⎛ n1 ⎞ λ ⎛ n1 ⎞ Δ ⎛ n1 ⎞ ⎜ ⎟ = 15 ⎜ ⎟ = 15 ⎜ ⎟ = 30 ⎝ n 2 ⎠1 ⎝ n 2 ⎠ 2 ⎝ n 2 ⎠ 3 λ λ λ € € € (IC)1 = 30A (IC)2 = 90A (IC)3 = 60A

⎛ n1 ⎞ ⎜ ⎟ = 15 ⎝ n 2 ⎠1 ⎛ n1 ⎞ ⎛ n1 ⎞ ⎛ n1 ⎞ ⎜ ⎟ = 15 ⇒ ⎜ ⎟ = ⎜ ⎟ € ⎝ n 2 ⎠ 2 ⎝ n 2 ⎠ 2 ⎝ n 2 ⎠1 ⎛ n1 ⎞ ⎛ n1 ⎞ ⎛ n1 ⎞ (V1)2 = (V13)3 ⎜ ⎟ = 30 ⇒ ⎜ ⎟ = 2 ⋅ ⎜ ⎟ € ⎝ n 2 ⎠ 3 ⎝ n 2 ⎠ 3 ⎝ n 2 ⎠1 30o (V13)€ 1 (IC)1= 30A (IC)2= 90A  (IC)2 = 3(IC)1 (IC)3= 60A  (IC)3 = 2(IC)1

(J1)1 = (Ip1)1 ⎛ n 2 ⎞ (J1)1 ⎜ ⎟ ⋅ ( IC )1 = x ⎝ n1 ⎠1 € λ ⎛ n ⎞ − ⎜ 2 ⎟ ⋅ ( IC )1 = −x ⎝ n1 ⎠1 ⎛ n1 ⎞ ⎜ ⎟ = 15 (Is1)1 ⎝ n 2 ⎠1 € λ (IC)1 -‐(IC)1 € (VL)1 (V32)1 (V12)1 (V13)1 (V23)1 (V21)1 (V31)1 (V32)1 (IC)1 = 30A 30 60 90 120 150 180 210 240 270 300 330 360

(J1)2 = (Ip1)2 ⎛ 2 ⎞ ⎛ n 2 ⎞ ⎛ 2 ⎞ ⎡⎛ n ⎞ ⎤ ⎡⎛ n ⎞ ⎤ ⎜ ⎟ ⋅ ⎜ ⎟ ⋅ ( IC ) 2 = ⎜ ⎟ ⋅ ⎢⎜ 2 ⎟ ⎥ ⋅ [ 3⋅ ( IC )1 ] = 2 ⋅ ⎢⎜ 2 ⎟ ⋅ ( IC )1⎥ = 2x (J1)2 ⎝ 3 ⎠ ⎝ n1 ⎠ 2 ⎝ 3 ⎠ ⎣⎝ n1 ⎠1⎦ ⎣⎝ n1 ⎠1 ⎦ € λ ⎛ 1 ⎞ ⎛ n ⎞ ⎛ 1 ⎞ ⎡⎛ n ⎞ ⎤ ⎛ n ⎞ − ⎜ ⎟ ⋅⎜ 2 ⎟ ⋅ ( IC ) 2 = − ⎜ ⎟ ⋅⎢⎜ 2 ⎟ ⎥ ⋅ [ 3⋅ ( IC )1 ] = −⎜ 2 ⎟ ⋅ ( IC )1 = −x ⎝ 3 ⎠ ⎝ n1 ⎠ 2 ⎝ 3 ⎠ ⎣⎝ n1 ⎠1⎦ ⎝ n1 ⎠1 ⎛ n1 ⎞ ⎜ ⎟ = 15 ⎝ n 2 ⎠ 2 (Is1)2 € λ (IC)2 € (VL)2 (V1)2 (V2)2 (V3)2 (IC)2 = 90A 30 60 90 120 150 180 210 240 270 300 330 360

(Ip1)3 ⎛ n 2 ⎞ ⎡1 ⎛ n ⎞ ⎤ ⎛ n 2 ⎞ ⎜ ⎟ ⋅ ( IC ) 3 = ⎢ ⋅ ⎜ ⎟ ⎥ ⋅ [2 ⋅ ( IC )1 ] = ⎜ ⎟ ⋅ ( IC )1 = x 2 (J1)3 ⎝ n1 ⎠ 3 ⎣2 ⎝ n1 ⎠1⎦ ⎝ n1 ⎠1 € Δ ⎛ n ⎞ − ⎜ 2 ⎟ ⋅ ( IC ) 3 = −x ⎝ n1 ⎠ 3 ⎛ n1 ⎞ (Is1)3 ⎜ ⎟ = 30 (IC)3 € ⎝ n 2 ⎠ 3 λ -‐(IC)3 € (VL)3 (V12)3 (V13)3 (V23)3 (V21)3 (V31)3 (V32)3 (IC)3 = 60A 30 60 90 120 150 180 210 240 270 300 330 360

(Ip3)3 ⎛ n 2 ⎞ ⎜ ⎟ ⋅ ( IC ) 3 = x (J1)3 ⎝ n1 ⎠ 3 € Δ ⎛ n ⎞ − ⎜ 2 ⎟ ⋅ ( IC ) 3 = −x ⎝ n1 ⎠ 3 ⎛ n1 ⎞ (Is3)3 ⎜ ⎟ = 30 € (IC)3 ⎝ n 2 ⎠ 3 λ -‐(IC)3 € (VL)3 (V12)3 (V13)3 (V23)3 (V21)3 (V31)3 (V32)3 (IC)3 = 60A 30 60 90 120 150 180 210 240 270 300 330 360

(J1)3 = (Ip1)3 -‐ (Ip3)3 2x (J1)3 € x € Δ ⎛ n1 ⎞ −2x −x ⎜ ⎟ = 30 € ⎝ n 2 ⎠ 3 (Ip1)3 λ x € € € −x (Ip3)3 € x (IC)3 = 60A € −x 30 60 90 120 150 180 210 240 270 300 330 360 €

(J1)1 x 1 ⎡ 2π 2 ⎤ 2 (J1 )1 = ⋅ ⎢2 ⋅ ⋅ x ⎥ = x ⋅ 2π ⎣ 3 ⎦ 3 € 2 ⎡⎛ n 2 ⎞ ⎤ 2 ⎡ 1 ⎤ 2 (J1 )1 = x ⋅ = ⎢⎜ ⎟ ⋅ ( IC )1⎥ ⋅ = ⎢ ⋅ 30⎥ ⋅ = 1.63A 3 ⎣⎝ n1 ⎠1 ⎦ 3 ⎣15 ⎦ 3 −x € € (J1)2 2x 1 ⎡ 2π 2 4π 2 ⎤ 1 ⎡2 4 ⎤ 1 ⎡12 ⎤ (J1 ) 2 = ⋅ ⎢1⋅ ⋅ (2x ) + 1⋅ ⋅ ( x ) ⎥ = x ⋅ ⋅ ⎢ ⋅ 4 + ⎥ = x ⋅ ⋅ 2π ⎣ 3 3 ⎦ 2 ⎣ 3 3 ⎦ 2 ⎢ 3 ⎥ ⎣ ⎦ € ⎡⎛ n ⎞ ⎤ ⎡ 1 ⎤ −x ( J1) 2 = x ⋅ 2 = ⎢⎜ 2 ⎟ ⋅ ( IC )1⎥ ⋅ 2 = ⎢ ⋅ 30⎥ ⋅ 2 = 2.83A ⎣⎝ n1 ⎠1 ⎦ ⎣15 ⎦ € € (J1)3 2x x € 1 ⎡ π 2 π 2 ⎤ 1 ⎡ 1 1 ⎤ 1 ⎡12 ⎤ (J1 ) 3 = ⋅ ⎢2 ⋅ ⋅ (2x ) + 4 ⋅ ⋅ ( x ) ⎥ = x ⋅ ⋅ ⎢2 ⋅ ⋅ 4 + 4 ⋅ ⎥ = x ⋅ ⋅ 2π ⎣ 3 3 ⎦ 2 ⎣ 3 3⎦ 2 ⎢ 3 ⎥ ⎣ ⎦ € ⎡⎛ n ⎞ ⎤ ⎡ 1 ⎤ (J1 ) 3 = x ⋅ 2 = ⎢⎜ 2 ⎟ ⋅ ( IC )1⎥ ⋅ 2 = ⎢ ⋅ 30⎥ ⋅ 2 = 2.83A ⎣⎝ n1 ⎠1 ⎦ ⎣15 ⎦ −x −2x € € 30 60 90 120 150 180 210 240 270 300 330 360 €

5x (J1)1 x 4x ISARE € € € −x € (J1)2 2x −2x −3x € € −4 x −x € € 30 60 90 120 150 180 210 240 270 300 330 360 € (J1)3 ISARE = 1 ⎡ π 2 π 2 π 2 π 2 ⎤ ⋅ ⎢4 ⋅ ⋅ ( 4 x ) + 2 ⋅ ⋅ (5x ) + 2 ⋅ ⋅ (2x ) + 2 ⋅ ⋅ ( 3x ) ⎥ 2x 2π ⎣ 6 6 6 6 ⎦ x 1 ⎡ π π π π ⎤ € = x⋅ ⋅ ⎢4 ⋅ ⋅16 + 2 ⋅ ⋅ 25 + 2 ⋅ ⋅ 4 + 2 ⋅ ⋅ 9⎥ 2π ⎣ 6 6 6 6 ⎦ € 1 ⎡64 50 8 18 ⎤ 1 ⎡140 ⎤ 70 = x⋅ ⋅ ⎢ + + + ⎥ = x ⋅ ⋅ ⎢ ⎥ = x ⋅ 2 ⎣ 6 6 6 6 ⎦ 2 ⎣ 6 ⎦ 6 −x −2x 35 ⎡⎛ n 2 ⎞ ⎤ 35 ⎡ 1 ⎤ 35 € ISARE = x ⋅ = ⎢⎜ ⎟ ⋅ ( IC )1⎥ ⋅ = ⎢ ⋅ 30⎥ ⋅ = 6.83A 3 ⎣⎝ n1 ⎠1 ⎦ 3 ⎣15 ⎦ 3 30 60 90 120 150 180 210 240 270 300 330 360 € €

[EP] ETXERAKO LANA (2010/02/25) orain arte ikusitakoaren berrikuspena

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