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)
Tema de clase: M´etodo de Energ´ıa-Balance de Energ´ıa 16 / 18
M´aquina S´ıncrona
M´aquina S´ıncrona: Efectos del polo saliente
Se ha visto que la onda de flujo de reacci´on de armadura
ˆ
Φ
ar
est´a
atrasada con respecto a la onda de flujo de campo por un ´angulo
espacial de 90
◦
+ Φ
lag
, siendo Φ
lag
el ´angulo de fase en el tiempo por
el cual est´a atrasada la corriente de armadura en direcci´on de la
excitaci´on con respecto a la fuerza electromotriz de excitaci´on.
Fuente: A. E. Fitzgerald, Charles Kingsley, Jr. y Stephen D. Umans, "Máquinas Eléctricas", 6 Edición, McGrawHill. Capitulo 5