tarea electricas
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Ejemplo de calculo de caídas de tensión: Linea de transporte trifásica a 50 Hz de 20km, con conductores de cobre de 50mm2 y diámetro efectivo 9,2mm colocados en triángulo equilátero de 1m. Suministra 5000kw con fdp 0.8 inductivo a 20kV. Calcular el porcentaje de caída de tensión y el rendimiento de la línea. ≔ V L 20 ≔ long 20 ≔ d 9.2 ≔ s 50 2 ≔ D 1 ≔ P 5000 ≔ fdp 0.8 ≔ ρ Cu ⋅ 0.017 2 ≔ f 50 ≔ ϕ = acos fdp 36.87 ≔ r = ρ Cu s 0.34 ≔ R = ⋅ r long 6.8 ≔ l = + ― ⋅ 8 ⋅ ― ⋅ 2 ln ⎛ ⎜ ⎜ ⎝ D d 2 ⎞ ⎟ ⎟ ⎠ 0.001 ― ≔ L = ⋅ l long 0.023 ≔ X = ⋅ ⋅ ⋅ 2 f L 7.077 ≔ I = ――――― P ⋅ ⋅ ‾ 3 V L cos ϕ 180.422 ≔ ∆U = ⋅ ‾ 3 + ⋅ ⋅ R I cos ϕ ⋅ ⋅ X I sin ϕ ⋅ 3.027 10 3 = ⋅ ― ∆U V L 1 00 1 5. 13 5 ≔ η = ⋅ ――――――― P + P ⋅ ⋅ ⋅ 3 I ∆ U cos ϕ 1 00 8 6. 85 5 ≔ Q = ⋅ P cos ϕ sin ϕ ⋅ 3.75 10 6 ⋅ ≔ ∆U = ⋅ ― 1 V L + ⋅ R P ⋅ X Q ⋅ 3.0 27 10 3 = ⋅ ― ∆U V L 1 00 1 5. 13 5 ≔ η = ⋅ ――――――― P + P ⋅ ⋅ ⋅ ‾ 3 I ∆ U cos ϕ 1 00 8 6. 85 5
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