2021/06/04 by Ioan Alexandru Puiu, Puiu, Ioan Alexandru, Raphael Hauser +1
Energy · Engineering · #Computational Engineering #Electric Power System Optimization #Energy Load and Power Forecasting #FOS: Computer and information sciences #FOS: Electrical engineering #Finance #Power Systems and Renewable Energy #Systems and Control (eess.SY) #and Science (cs.CE) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2106.04310
openalex publication_date 2021/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Network constraints play a key role in the price finding mechanism for European Power Markets, but historical data is very sparse and usually insufficient for many quantitative applications. We reconstruct the constraints data, known as the Power Transmission Distribution Factors (PTDFs) and Remaining Available Margins (RAMs), by first recovering the underlying time dependent signals known as the Generation Shift Keys (GSKs) and Phase Angles (PAs), and the electricity grid characteristics, via a mathematical optimisation problem. This is solved by exploiting marginal convexity in certain subspaces via alternating minimisation. The GSKs and PAs are then mapped to the PTDFs and RAMs, using the grid structure. Our reconstruction achieves good in-sample and out-of-sample relative errors for the PTDFs and RAMs. We further show that our model outperforms the naive approach, and that the reconstructed GSKs and PAs recover specific structure.