Holomorphic Embedding Load-flow method: Difference between revisions

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* H. Mori, "Chaotic behavior of the Newton-Raphson method with the optimal multiplier for ill-conditioned power systems", in ''The 2000 IEEE International Symposium on Circuits and Systems (ISCAS 2000 Geneva), Vol. 4, pp. 237--240, 2000.

</ref> A simple

illustration for the two-bus model is provided in<ref>[http://www.elequant.com/products/agora/demo/iterativeloadflow/ Problems with Iterative Load Flow] {{Webarchive|url=https://web.archive.org/web/20100104180641/http://www.elequant.com/products/agora/demo/iterativeloadflow/ |date=2010-01-04 }}, Elequant, 2010.</ref> Although there exist [[Homotopy|homotopic]] [[Numerical continuation|continuation]] techniques that alleviate the problem to some degree,<ref>V. Ajjarapu and C. Christy, "The continuation power flow: A tool for steady state voltage

stability analysis", ''IEEE Trans. on Power Systems'', vol.7, no.1, pp. 416-423, Feb 1992.</ref> the fractal nature of the basins of attraction precludes a 100% reliable method for all electrical scenarios.