Symmetrical components of a 3 phase system

**INTRODUCTION TO SYMMETRICAL COMPONENTS**

In a 3 phase system, the unbalanced vectors (either currents or voltage) can be resolved into three balanced system of vectors.

They are Positive sequence components Negative sequence components

Zero sequence components

Unsymmetrical fault analysis can be done by using symmetrical components.

It consists of three components of equal magnitude, displaced each other by 120˚ in phase and having the phase sequence abc .

It consists of three components of equal magnitude, displaced each other by 120˚ in phase and having the phase sequence acb .

It consists of three phasors equal in magnitude and with zero phase displacement from each other.

In unbalanced problem, to find the relationship between phase voltages and phase currents, we use sequence operator ** ‘a’**.

*a *= 1∠120˚ ==* *- 0.5+j0.86

Let, Ia, Ib, Ic be the unbalanced phase currents

Let, Ia0, Ia1, Ia2 be the symmetrical components of phase a

Let, Ia, Ib, Ic be the unbalanced phase currents

Let, Ia0, Ia1, Ia2 be the symmetrical components of phase a

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Power System Analysis : Symmetrical Components And Unbalanced Fault Analysis : Introduction to Symmetrical Components |

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