Analisis de Sistemas de Potencia - John Granger William Stevenson
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1.10 CANTIDADESEN POR UNI
.-. Se usan las ecuaciones (1.37), (1.39) y (1.40) para calcular P, Q y IS 1 en redes tbalanceadas ya que, generalmente, se conocen el voltaje línea a línea, la corriente del factor de potencia cos O Cuando se habla de un sistema trifásico se suponen, a mse indique otra cosa, condiciones balanceadas; y se entenderá que los términos vorriente y potencia se refieren, a menos que se identifiquen de otra forma, al voltajlínea, la corriente de línea y la potencia trifásica total, respectivamente.
Si la carga está conectada en A, el voltaje a través de cada impedancia es elínea a línea, y la magnitud de la corriente que la atraviesa es la de la corriente dividida entre la 6 ,o,
IILI151= iVLi y lIpl=-
\/3
La potencia total trifásica es
y al sustituir los valores de IVp1e IIp de la ecuación (1.41), en esta ecuación, se ob
P = fiIvLI Z ~ I C O S e,
que es idéntica a la ecuación (1.37). Se deduce que las ecuaciones (1.39) y (1.40) bién válidas sin importar si una carga en particular está conectada en A o en Y.
CANTIDADES EN POR UNIDAD
Las líneas de transmisión de potencia se operan a niveles en los que el kilovolt (
unidad más conveniente para expresar sus voltajes. Debido a que se transmite cantidad de potencia, los términos comunes son los kilowatts o megawatkilovoltamperes o megavoltamperes. Sin embargo, estas cantidades, al igual que losy los ohms, se expresan frecuentemente en por ciento o en por unidad de un valor breferencia especificado para cada una. Por ejemplo, si se selecciona una base de v120 kv , los voltajes de 108, 120 y 126 k v equivaldrán a 0.90, 1.00 y 1.05 en por u90, 100 y 105%, respectivamente. El valor en por unidad de cualquier cantidad como la relación de la cantidad a su base y se expresa como un decimal. La relacióciento es 100 veces el valor en por unidad. Ambos métodos de cálculo, porcenpor unidad, son más simples y más informativos que los volts, los amperes y los ohmEl método en por unidad tiene una ventaja sobre el porcentual: el producto de dos cexpresadas en por unidad se expresa tambiCn en por unidad, mientras que el produccantidades dadas en por ciento se debe dividir entre 100 para obtener el resultadciento.
El voltaje, la corriente, los kilovoltamperes y la impedancia están relacionadmanera que la selección de los valores base para cualquiera dos de ellos determina los dos restantes. Si se especifican los valores base de corriente y de voltaje, sdeterminar las bases de impedancia y de kilovoltamperes. La impedancia base es aqtiene una caída de voltaje igual a la del voltaje base, cuando la corriente que fluye a
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