The general treatment of non-symmetric, non-balanced star circuits: On the geometrization of problems in electrical metrology
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Date
2015-12-16
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Abstract
In the present note we provide the general solution of a question concerning
non-symmetric AC star circuits that came up in a practical application:
Given a non-symmetric AC star circuit, we need the quantities of the line voltages.
For technical reasons these quantities cannot be measured directly but the
phase-to-phase voltages can be. In this text we present a way to compute the
needed quantities from the measured ones. We translate this problem in electrical
metrology to a geometric one and present in detail a general solution that is well
adapted to the practical problem. Furthermore, we solve the generalization of the
problem that discusses the non-symmetric, non-balanced star circuit. In addition,
we give some further remarks on the mathematical side of the initial problem.