Understanding VBase and ZBase: The Relationship Between IActual and IBase

AI Thread Summary
The discussion centers on the mathematical relationship between VBase, ZBase, IActual, and IBase in electrical systems. Participants clarify that VBase divided by ZBase results in IActual divided by Ipu, highlighting the significance of base and per unit values. The conversation also touches on how to derive IBase from rated power and voltage, leading to the formula IBase = √(SBase/ZBase) for single-phase systems. Confusion arises around the final terms and their implications, but consensus is reached on the fundamental relationships. Understanding these relationships is crucial for analyzing electrical systems effectively.
tim9000
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If you took: VBase / ZBase

does that give you IActual

or IBase or what?

Because it seemed to give me IActual.

Cheers
 
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What is the difference?
 
Simon Bridge said:
What is the difference?
Like if Iactual = Ibase*Iper unit
 
OK... so do that for the other "base" units.
Remember what the base and per unit parts mean.
What is the relationship between actual things?
 
Simon Bridge said:
OK... so do that for the other "base" units.
Remember what the base and per unit parts mean.
What is the relationship between actual things?
Well I know that Vbase / Zbase = (Vactual/Vpu) / (Zactual/Zpu)
=Vactual * Zpu / Vpu*Zactual = Iactual * (Zpu/Zactual)
But I'm not sure what that means for the last part of the last term
 
Sorry, the final term is wrong here:

Ibase=Vbase / Zbase = (Vactual/Vpu) / (Zactual/Zpu) =Vactual * Zpu / (Vpu*Zactual) = Iactual * (Zpu/Vpu)

Iactual * (Zpu/Vpu)=Iactual*Ipu
 
Babadag said:
Iactual * (Zpu/Vpu)=Iactual*Ipu

Oh right.
but Isn't (Zpu/Vpu) = 1 / Ipu

so Vbase / Zbase = Iactual / Ipu ?
Also, side question, say you were given the rated power and voltage for a system, so then you can work out the rated base impedance. But does that mean that
Ibase = √(Sbase - Zbase) ?
 
Sorry again. My mistake, this time : Vbase / Zbase = Iactual / Ipu, indeed.

Also for single phase system Ibase=sqrt(Sbase/Zbase) .So, what further?
 
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