Answer / kamlesh dewangan

In the three phase system all three phase current vector
sum to zero only if the system is balance (ie balance three
phase system).
_ _ _ _
I= Ir+Iy+Ib
These can be easily proved by solving following equation:
_
Ir = Im*sin(@)
_
Iy = Im*sin(@+120) Since in balance system all
phases are 120 degree apart
_
Ib = Im*sin(@+240) Since in balance system all
phases are 120 degree apart

_ _ _ _
now calculate I= Ir+Iy+Ib, it will become zero.

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