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Interconnection scheme of positive and negative sequence networks

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Krustabas

Electrical
Nov 5, 2008
22
I'd like to ask if anyone knows how to form an equation shown in the attached figure (from US4559491 patent).

In the image there is an expression for a phase R current at a point A for a phase-to-phase fault:
IR = (a^2 * I1R + a * I2R + a^2 * Ipre-fault) * a (1)

I can't figure out why (1) is so complicated because in general case phase R current is constructed from symmetrical components as:
IR = I1R + I2R + I0R (2)

For S and T phases there would be also one "a" and one "a^2" operator. Removing zero sequence component and adding a pre-fault phase current I get:
IR = I1R + I2R + Ipre-fault (3)

This is clearly not the same as (1). Am I missing something?

Thank you
 
 https://files.engineering.com/getfile.aspx?folder=953b93ef-d07e-4efa-862e-78baed381457&file=Phase_current_at_point_A.png
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