Holomorphic Embedding Load-flow method: Difference between revisions

Revision as of 15:20, 13 September 2012

Revision as of 10:17, 18 September 2012

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== Background ==

The [[Power_flow_study|load-flow]] calculation is one of the most

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== Methodology and Applications ==

HELM is grounded on a rigorous mathematical theory, and in practical terms it could be summarized as follows:

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== Holomorphic Embedding ==

For the purposes of the discussion, we will omit the treatment of controls, but the method can accommodate all types of controls. For the constraint equations imposed by these controls, an appropriate holomorphic embedding must be also defined.

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== Analytic Continuation ==

Once the power series at {{math|<var>s</var>{{=}}0}} are calculated to the desired order, the problem of calculating them at {{math|<var>s</var>{{=}}1}} becomes one of [[Analytic_continuation|analytic continuation]]. It should be strongly remarked that this does not have anything in common with the techniques of [[Homotopy#Applications|homotopic continuation]]. Homotopy is powerful since it only makes use of the concept of continuity and thus it is applicable to general smooth nonlinear systems, but on the other hand it does not always provide a reliable method to approximate the functions (as it relies on iterative schemes such as Newton-Raphson).

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== Notes ==

{{Reflist|group=note}}

== References ==

{{Reflist}}

== External links ==

* [[Power_flow_study|Power flow study]]

* [[Power_system_simulation|Power system simulation]]