Contents
A new method for solving nonlinear algebraic equations is introduced. It may be considered an approximation to the well-known method of Newton-Raphson and attains linear convergence with a single inversion of the Jacobian matrix. If applied to the particular case of load-flow, it may lead to computational savings when operations on blocks (2×2 matrices) are used.
Efficient operations on blocks and the convergence of the new method are discussed. Numerical results support the claim that the algorithm is indeed useful.
Übersicht
Eine neue Methode der Lösung von nichtlinearen algebraischen Gleichungen wird beschrieben. Sie kann als eine Näherung zur bekannten Methode von Newton-Raphson angeschen werden, die mit einer einmaligen Inversion der Jacobi-Matrix bei linearer Konvergenz auskommt. Angewendet auf das Lastflußproblem wo man Blöcke von 2×2-Matrizen benützt, ergeben sich zusätzliche Vorteile.
Operationen an Blöcken und die Konvergenz der neuen Methode werden diskutiert. Resultate zeigen, daß die neue Methode der Lösung des Lastflußproblemes vorteilhaft ist.
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Wallach, Y., Conrad, V. On efficient solutions of load-flow problems. Archiv f. Elektrotechnik 61, 1–6 (1979). https://doi.org/10.1007/BF01578616
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DOI: https://doi.org/10.1007/BF01578616