Load flow algorithm improvement
Improve the performance of a load flow grid simulation using Non-Linear Programming.

Why join Artelys?

Artelys is a company specialized in mathematical optimisation, quantitative decision-making, and scientific modeling. Relying on its high-level expertise in quantitative methods, Artelys delivers efficient solutions to complex business problems and provides services to numerous industries: energy, transportation, telecommunications, manufacturing, etc. Artelys is an international company with offices in France, Canada, Belgium, Spain and the USA.  

Artelys offers several products and services, including software solutions (mathematical optimisation software and business specific customised solutions), studies, consulting, training, etc. In particular, Artelys consultants deliver operational solutions that perform security analyses of power grids, i.e., simulations that check that the power grid will be safely operated on the short term (e.g., one day ahead). These solutions involve performing a massive amount of load flows that evaluates the distribution of power flows on the grid from generation to loads.

INTERNSHIP description

Power flows are usually based on a Newton Raphson algorithm to solve a non-linear system of equalities. Unfortunately, when the algorithm does not converge, it comes with no proof of infeasibility and with scarce information about the divergence origin. By transforming the problem into an Optimal Power Flow (OPF) with the introduction of well-chosen slack variables, it is possible to find the minimal set of changes to the power grid that would lead to a feasible solution.

The intern will design and implement the replacement of the existing Newton-Raphson algorithm of Open Load Flow with Arteys Knitro, Artelys’ leading non-linear optimization solver. As the Newton-Raphson algorithm only solves a non-linear system without constraints, part of the problem (bounds, control, etc.) are handled by calling several times the Newton-Raphson. As Artelys Knitro can handle constraints, the intern will then design and implement modifications of the problem to avoid having to solve sequentially several problems (e.g. PV/PQ switches could be modelled as complementarity constraints).



The candidate must be in his/her last year of master’s degree in computer science and/or applied mathematics with a solid background in Operations Research. 

Required skills: 

  • Mathematical optimization
  • Programming in Java
  • Appreciated competence:

  • Power Systems (Power Flows and Power System Economics)
  • Fluent in French

    The duration of the internship is 6 months. The internship will take place in our Paris or Lyon offices. The internship may lead to a long-term job offer.

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