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Table 2 Infeed current impact on impedance value for impedance relay

From: Comparative framework for AC-microgrid protection schemes: challenges, solutions, real applications, and future trends

Case

\(\vartheta_{{\text{i}}}\)

\(\emptyset_{{{\text{BF}}}}^{*}\)

\(\vartheta_{i} + \emptyset_{BF}\)

Impedance relay condition

1

 + 

 + 

 + 

–

Under reach

increased fault distance

2

-

 + 

 + 

\({\text{if}}\;\left| {\emptyset_{BF} } \right| > \left| {\vartheta_{i} } \right|\)

Under reach

increased fault distance

3

-

 + 

-

\({\text{if}}\;\left| {\emptyset_{BF} } \right| < \left| {\vartheta_{i} } \right|\)

Over reach

reduced fault distance

  1. *\(\emptyset_{{{\text{BF}}}}\) has always a positive value assuming that \(Z_{BF} = R_{BF} + jX_{BF}\)