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Neutral Shift & Current in 3-Phase Power Systems: ECE 523 Homework, Assignments of Electrical and Electronics Engineering

University of Idaho (U of I)Electrical and Electronics Engineering

A homework assignment from ece 523, a graduate-level electrical engineering course. It provides problems related to the calculation of neutral shift (vn'n) and neutral current (in) in a three-phase power system. Students are required to apply the definitions and kirchhoff's current law to find the relationships between these values.

Typology: Assignments

Pre 2010

Uploaded on 08/19/2009

koofers-user-egb
koofers-user-egb 🇺🇸

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ECE 523
9/16/2007
Homework #4 David Beach
Page 1 of 1
Van'0 Vn'n
−=
Therefore:
Van'0
1
3
Van' Vbn'
+Vcn'
+
( )
⋅=
By definition:
Van' Vbn'
+Vcn'
+
3
Vn'n
−=
Van Vbn
+Vcn
+0=Van' Vbn'
+Vcn'
+3 Vn'n
⋅+=
Vcn Vcn' Vn'n
+=
Vbn Vbn' Vn'n
+=
Van Van' Vn'n
+=
From the definition of the problem:
If the load is unbalanced, its neutal n' will not be at the same potential as the source neutral n.
Find the relationship between the neutral shift Vn'n and the zero, i.e., Van'0.
2.11
In3−Ia0
⋅=
Therefore:
Ia0
1
3
IaIb
+Ic
+
( )
⋅=
By definition:
InIaIb
+Ic
+
( )
−=
By inspection and Kirchhoff's Current Law:
If the load is unbalanced, neutral current will exist. Find the relation between neutral current In
and phase a zero sequence curent Ia0.
2.10

Partial preview of the text

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ECE 523

9/16/

Homework #4 David Beach

Page 1 of 1

V

an'

V

n'n

Therefore:

V

an'

V

an'

V

bn'

+ V

cn'

By definition:

V

an'

V

bn'

+ V

cn'

V

n'n

V

an

V

bn

+ V

cn

+ = 0 V

an'

V

bn'

+ V

cn'

+ 3 V

n'n

V

cn

V

cn'

V

n'n

V

bn

V

bn'

V

n'n

V

an

V

an'

V

n'n

From the definition of the problem:

If the load is unbalanced, its neutal n' will not be at the same potential as the source neutral n.

Find the relationship between the neutral shift V n'n

and the zero, i.e., V an'

I

n

− 3 I

a

Therefore:

I

a

I

a

I

b

+ I

c

By definition:

I

n

I

a

I

b

+ I

c

By inspection and Kirchhoff's Current Law:

If the load is unbalanced, neutral current will exist. Find the relation between neutral current I n

and phase a zero sequence curent I a