Abstract
This paper describes a sparse (4 n×4 n) formulation for the solution of power flow problem, comprising 2 n current injection equations written in rectangular coordinates plus the set of control equations. This formulation has the same convergence characteristics of the conventional Newton power flow problem, expressed in terms of power mismatches written in polar coordinates and can be reduced to a (2 n×2 n) formulation plus the control equations. It is best suited to the incorporation of flexible AC transmission system devices and controls of any kind. Complex user-defined control functions, involving the participation of several regulating devices, can be directly introduced as power flow control data. The results presented validate the proposed method.
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