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Algorithmic decomposition formulation to improve the accuracy and convergence of the generation and network expansion planning method

S. Lumbreras A. Ramos

July 2026 - April 2027

Funding entity Pharoes Advisory, S.L.


“Algorithmic decomposition formulation to improve method accuracy and convergence”
Expert opinion is provided on:
1. Improvements to the decomposition problem formulation
• Regional decomposition method using ADMM and PTDF
• Master-subproblem scheme for updating zonal exchanges
• Physical and mathematical consistency of the algorithmic formulation
2. Improvements to method convergence and stability
• Voltage angle uniformity by zone
• Linear updates of inter-zonal flows
• Quadratic penalties and limits on permissible step sizes
3. Improvements to coordination between master and subproblems
• Simplified power flows for zonal reference
• Dynamic PTDF updates and consensus mechanisms
• Feedback of marginal and voltage information during the iterative cycle


Layman's summary: Algorithmic decomposition formulation to improve the accuracy and convergence of the generation and network expansion planning method.



Techniques employed: Benders, ADMM



PharoesCDTI