Angular Symmetrical Components for Currents

Angular Symmetrical Components for Voltages (Line and Phase) are introduced in this blog. Now, It is applied to currents for simplification and extraction of sequence currents.

A. Star Effective Line Currents (SELC):

Quadratic Mean (RMS) of all Sequence Currents is referred as "Star Effective Line Current (SELC)". This Current is equal to the Quadratic Mean of all Line Currents. The power in unbalanced star connected system will be equal to the same delivered by balanced three phase system of "SEL Current".

B. Delta Effective Line Currents (DELC):

Effective magnitude of Positive and Negative Sequence currents is referred as "Delta Effective Line Current (DELC)". This current is equal to effective magnitude of Delta currents / Virtual Delta Currents.

C. Earth Tangent Angle for Currents (ETAC)
The Geometric angle (as shown in figure) between SELC and DELC represents the Zero sequence current which is related to Neutral current. So it is called as "Earth Tangent Angle for Currents (ETAC)". It is determined as Cosine Inverse of the ratio between DELC and SELC.

D. Tangent Angle of Unbalance for Currents (TAUC)

The Geometric angle (as ahown in figure) between Positive sequence Current and DELC (Not phase angle) is referred as "Tangent Angle of Unbalance for Current (TAUC)". It is determined as Tangent Inverse of Current Unbalance Factor which is the ratio between Negative Sequence and Positive Sequence. Negative Sequence in per unit is similar to the TAU in radians for smaller values. So the TAUC is represented as Angular form of Negative Sequence Current.

Conversion Table is given below:

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