Print Email Facebook Twitter Distributed stochastic reserve scheduling in AC power systems with uncertain generation Title Distributed stochastic reserve scheduling in AC power systems with uncertain generation Author Rostampour, Vahab (TU Delft Team Tamas Keviczky) Ter Haar, Ole (Student TU Delft) Keviczky, T. (TU Delft Team Tamas Keviczky) Date 2019 Abstract This paper presents a framework to carry out multi-area stochastic reserve scheduling (RS) based on an AC optimal power flow (OPF) model with high penetration of wind power using distributed consensus and the alternating direction method of multipliers (ADMM). We first formulate the OPF-RS problem using semidefinite programming (SDP) in infinite dimensional spaces that are in general computationally intractable. Using a novel affine policy, we develop an approximation of the infinite dimensional SDP as a tractable finite dimensional SDP, and explicitly quantify the performance of the approximation. To this end, we adopt the recent developments in randomized optimization that allow a priori probabilistic feasibility guarantees to optimally schedule generating units while simultaneously determining the required reserve. We then use the geographical pattern of the power system to decompose the large-scale system into a multi-area power network, and provide a consensus ADMM algorithm to find a feasible solution for both local and overall multi-area network. Using our distributed stochastic framework, each area can use its own wind information to achieve local feasibility certificates, while ensuring overall feasibility of the multi-area power network under mild conditions. We provide numerical comparisons with a new benchmark formulation, the so-called converted DC (CDC) power flow model, using Monte Carlo simulations for two different IEEE case studies. Subject GeneratorsOptimizationPower systemsProbabilistic logicStochastic processesUncertaintyWind power generation To reference this document use: http://resolver.tudelft.nl/uuid:86c4cfe5-4b66-41c1-8095-86578d3435d4 DOI https://doi.org/10.1109/TPWRS.2018.2878888 Embargo date 2019-05-01 ISSN 0885-8950 Source IEEE Transactions on Power Systems, 34 (2), 1005-1020 Bibliographical note Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. Part of collection Institutional Repository Document type journal article Rights © 2019 Vahab Rostampour, Ole Ter Haar, T. Keviczky Files PDF Distributed_Stochastic_Re ... ration.pdf 2.96 MB Close viewer /islandora/object/uuid:86c4cfe5-4b66-41c1-8095-86578d3435d4/datastream/OBJ/view