Power-flow study: Difference between revisions

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A load flow study is especially valuable for a system with multiple load centers, such as a refinery complex. The power flow study is an analysis of the system’s capability to adequately supply the connected load. The total system losses, as well as individual line losses, also are tabulated. Transformer tap positions are selected to ensure the correct voltage at critical locations such as motor control centers. Performing a load flow study on an existing system provides insight and recommendations as to the system operation and optimization of control settings to obtain maximum capacity while minimizing the operating costs. The results of such an analysis are in terms of active power, reactive power, magnitude and phase angle. Furthermore, power-flow computations are crucial for [[Unit_commitment_problem_in_electrical_power_production|optimal operations of groups of generating units]].

In term of its approach to uncertainties, load flow study can be divided to deterministic load flow and uncertainty-concerned load flow. Deterministic load flow study does not take into account the uncertainties arise from both power generations and load behaviors. To take the uncertainties into consideration, there are several approaches that has been used such as probabilistic, possibilistic, information gap decision theory, robust optimization, and interval analysis<ref>{{Cite web|url=https://www.sciencedirect.com/science/article/pii/S1364032115014537?via%3Dihubjournal|title=A comprehensive review on uncertainty modeling techniques in power system studies|lastjournal=Renewable and Sustainable Energy Reviews|firstvolume=57|datepages=|website=www.sciencedirect.com1077–1089|doi=10.1016/j.rser.2015.12.070|archive-urlyear=2016|archive-datelast1=Aien|dead-urlfirst1=Morteza|access-datelast2=2019Hajebrahimi|first2=Ali|last3=Fotuhi-03-25Firuzabad|first3=Mahmud}}</ref>.

The [[Open Energy Modelling Initiative]] promotes [[open source]] load-flow models and other types of energy system models.

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==Other power-flow methods==

*[[Gauss–Seidel method]]: This is the earliest devised method. It shows slower rates of convergence compared to other iterative methods, but it uses very little memory and does not need to solve a matrix system.

*[[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|url=http://ieeexplore.ieee.org/document/4075431/|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.