Table 2 The values range of three-phase directionality factors and differential currents at different fault types and the traditional relay action.

From: Adaptive differential current relay based on form/ripple factors for busbar current signals

Sr. No.

Fault type

The range values of the three phase directionality factors

The range values of the three phase differential currents

Traditional relay action

1.

Normal operation

DFav =  + 1.0

DFbv =  + 1.0

DFcv =  + 1.0

ida < Id0 + Ks × ira,

idb < Id0 + Ks × irb and

idc < Id0 + Ks × irc

Blocking

2.

External fault without CT saturation condition

DFav =  + 1.0

DFbv =  + 1.0

DFcv =  + 1.0

ida < Id0 + Ks × ira,

idb < Id0 + Ks × irb and

idc < Id0 + Ks × irc

Blocking

3.

External fault with CT saturation condition

 + 1.0 > DFav ≥ 0.0,

 + 1.0 > DFbv ≥ 0.0, or

 + 1.0 > DFcv ≥ 0.0

ida < Id0 + Ks × ira,

idb < Id0 + Ks × irb and

idc < Id0 + Ks × irc

during the free saturated portions of the secondary currents

The CT saturation may lead to the traditional relay malfunction (Tripping) on severe external faults

ida ≥ Id0 + Ks × ira,

idb ≥ Id0 + Ks × irb or

idc ≥ Id0 + Ks × irc

during the saturated/distorted portions of secondary currents

4.

Internal fault without CT saturation condition

0.0 > DFav ≥ -1.0,

0.0 > DFbv ≥ -1.0, or

0.0 > DFcv ≥ -1.0

ida ≥ Id0 + Ks × ira,

idb ≥ Id0 + Ks × irb or

idc ≥ Id0 + Ks × irc

Tripping

5.

Internal fault with CT saturation condition

0.0 > DFav ≥ -1.0,

0.0 > DFbv ≥ -1.0, or

0.0 > DFcv ≥ -1.0

ida ≥ Id0 + Ks × ira,

idb ≥ Id0 + Ks × irb or

idc ≥ Id0 + Ks × irc

during the free saturated portions of the secondary currents

The presence of harmonics (the DC components, CT saturation, or both together) may delay or prevent the traditional relay operation on severe internal faults

 + 1.0 > DFav ≥ 0.0,

 + 1.0 > DFbv ≥ 0.0, or

 + 1.0 > DFcv ≥ 0.0

ida < Id0 + Ks × ira,

idb < Id0 + Ks × irb or

idc < Id0 + Ks × irc

during the saturated/distorted portions of secondary currents