IEEE Access
Operación, Estabilidad y Servicios Complementarios Resiliencia y ConfiabilidadInverse Probabilistic Security-Constrained Optimal Power Flow for Reliability Parameter Calibration, Transmission Investment, and Standard Setting
AUTORES Sepúlveda F., Alvarado D., Cordera F., Esperguel E., Strbac G., Moreno R.
FECHA julio 2026
PUBLICADO EN IEEE Access
DOI 10.2139/ssrn.5501238
Network reliability standards should ideally be informed by quantitative probabilistic models that quantify the costs and benefits associated with different levels of supply-quality improvement. However, these probabilistic models, such as those used to determine transmission network investments, require component-level outage and repair rates that are frequently missing or incomplete. To address this limitation, this paper proposes a two-part framework that first infers these missing input parameters and then delivers high-quality assessments of the investment costs required to attain a certain supply-quality level. In the first part, an Inverse Probabilistic Security-Constrained Optimal Power Flow (Inverse PSC-OPF) is developed to infer network-component reliability parameters—specifically outage and repair rates—directly from observed system-level continuity metrics routinely documented by regulatory authorities, namely interruption duration, interruption frequency, and unserved energy. In the second part, these calibrated parameters are integrated into a probabilistic transmission expansion planning model to find economically justifiable supply-quality improvements. We apply the framework to the Chilean transmission system (≈ 2,200 lines/transformers, ≈ 2,400 buses), where the resulting optimal investments, together with their costs and benefits across reliability levels, provided insights that informed the formulation of Chile’s national transmission reliability standard.