Chapter 7: Symmetrical Components and Representation of Faulted Networks

Real and Reactive Power

The three-phase power in the original unbalanced system is given by

(7.16)

 

 

where I* is the complex conjugate of the vector I . Now from (7.10) and (7.15) we get

(7.17)

 

 

From (7.11) we get

 

 

 

 

Therefore from (7.17) we get

 

(7.18)

 

 

We then find that the complex power is three times the summation of the complex power of the three phase sequences.

Example 7.3