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Консультация № 179213
23.06.2010, 12:01
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1
здравствуйте,помогите:
От источника с напряжением U = 100 кВ требуется передать на расстояние I = 5 км мощность Р = 5000 кВт. Допустимая потеря напряжения в проводах n = 1%. Рассчитать минимальное сечение медного провода, пригодного для этой цели. Удельное сопротивление меди р = 1,7*10^-8 Омм.
От источника с напряжением U = 100 кВ требуется передать на расстояние I = 5 км мощность Р = 5000 кВт. Допустимая потеря напряжения в проводах n = 1%. Рассчитать минимальное сечение медного провода, пригодного для этой цели. Удельное сопротивление меди р = 1,7*10^-8 Омм.
Обсуждение
23.06.2010, 12:59
общий
это ответ
Здравствуйте, noobjkee.
Передаваемая мощность P = U*I, где U - напряжение, I - ток в линии.
Потери мощности в проводах Pп = I2*R, где R - сопротивление проводов;
R=ρ*l/S, где ρ - удельное сопротивление материала проводов, S - площадь поперечного сечения провода, l - общая протяжённость проводов (10 км в данной задаче).
Pп = (P/U)2*ρ*l/S=P2*[$961$]*l/(U2*S)
С учетом того, что по условию допустимая потеря в проводах 1% и как уже было сказано выше l=2*l=10 км окончательно получим выражение для S:
S=2*[$961$]*l*P/(U2*n)
Вычислим искомую величину:
S=2*1.7*10-8*5*103*5*106/(0.01*1010)=8.5*10-6 м2 = 8,5 мм2
Передаваемая мощность P = U*I, где U - напряжение, I - ток в линии.
Потери мощности в проводах Pп = I2*R, где R - сопротивление проводов;
R=ρ*l/S, где ρ - удельное сопротивление материала проводов, S - площадь поперечного сечения провода, l - общая протяжённость проводов (10 км в данной задаче).
Pп = (P/U)2*ρ*l/S=P2*[$961$]*l/(U2*S)
С учетом того, что по условию допустимая потеря в проводах 1% и как уже было сказано выше l=2*l=10 км окончательно получим выражение для S:
S=2*[$961$]*l*P/(U2*n)
Вычислим искомую величину:
S=2*1.7*10-8*5*103*5*106/(0.01*1010)=8.5*10-6 м2 = 8,5 мм2
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