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*[[Fast-decoupled-load-flow method]] is a variation on Newton-Raphson that exploits the approximate decoupling of active and reactive flows in well-behaved power networks, and additionally fixes the value of the [[Jacobian matrix and determinant|Jacobian]] during the iteration in order to avoid costly matrix decompositions. Also referred to as "fixed-slope, decoupled NR". Within the algorithm, the Jacobian matrix gets inverted only once, and there are three assumptions. Firstly, the conductance between the buses is zero. Secondly, the magnitude of the bus voltage is one per unit. Thirdly, the sine of phases between buses is zero. Fast decoupled load flow can return the answer within seconds whereas the Newton Raphson method takes much longer. This is useful for real-time management of power grids.<ref>{{Cite journal|last=Stott|first=B.|last2=Alsac|first2=O.|date=May 1974|title=Fast Decoupled Load Flow|journal=IEEE Transactions on Power Apparatus and Systems|language=en-US|volume=PAS-93|issue=3|pages=859–869|doi=10.1109/tpas.1974.293985|issn=0018-9510}}</ref>
*[[Holomorphic embedding load flow method]]: A recently developed method based on advanced techniques of complex analysis. It is direct and guarantees the calculation of the correct (operative) branch, out of the multiple solutions present in the power flow equations.
==DC power-flow==
Direct Current Load Flow gives estimations of lines power flows on AC power systems. Direct Current Load Flow looks only at active power flows and neglects reactive power flows. This method is non-iterative and absolutely convergent but less accurate than AC Load Flow solutions. Direct Current Load Flow is used wherever repetitive and fast load flow estimations are required.<ref>[https://link.springer.com/content/pdf/bbm%3A978-3-642-17989-1%2F1.pdf DC Load Flow, Springer]</ref>
==References==
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