Distributionally robust joint chance-constrained optimization for networked microgrids considering contingencies and renewable uncertainty

In light of a reliable and resilient power system under extreme weather and natural disasters, networked microgrids integrating local renewable resources have been adopted extensively to supply demands when the main utility experiences blackouts. However, the stochastic nature of renewables and unpr...

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Main Authors: Ding, Y, Morstyn, T, McCulloch, MD
Format: Journal article
Language:English
Published: IEEE 2022
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author Ding, Y
Morstyn, T
McCulloch, MD
author_facet Ding, Y
Morstyn, T
McCulloch, MD
author_sort Ding, Y
collection OXFORD
description In light of a reliable and resilient power system under extreme weather and natural disasters, networked microgrids integrating local renewable resources have been adopted extensively to supply demands when the main utility experiences blackouts. However, the stochastic nature of renewables and unpredictable contingencies are difficult to address with the deterministic energy management framework. The paper proposes a comprehensive distributionally robust joint chance-constrained (DR-JCC) framework that incorporates microgrid island, power flow, distributed batteries and voltage control constraints. All chance constraints are solved jointly and each one is assigned to an optimized violation rate. To highlight, the JCC problem with the optimized violation rates has been recognized as NP-hard and challenging to solve. This paper proposes a novel evolutionary algorithm that successfully solves this problem and reduces the solution conservativeness (i.e. operation cost) by around 50% compared with the baseline Bonferroni Approximation. We construct three data-driven ambiguity sets to model uncertain solar forecast error distributions. The solution is thus robust for any distribution in sets with the shared moments and shape assumptions. The proposed method is validated by robustness tests based on these sets and firmly secures the solution robustness.
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spelling oxford-uuid:2a540264-3f41-4dc1-ab32-ea5358e468832022-07-20T15:02:37ZDistributionally robust joint chance-constrained optimization for networked microgrids considering contingencies and renewable uncertaintyJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2a540264-3f41-4dc1-ab32-ea5358e46883EnglishSymplectic ElementsIEEE2022Ding, YMorstyn, TMcCulloch, MDIn light of a reliable and resilient power system under extreme weather and natural disasters, networked microgrids integrating local renewable resources have been adopted extensively to supply demands when the main utility experiences blackouts. However, the stochastic nature of renewables and unpredictable contingencies are difficult to address with the deterministic energy management framework. The paper proposes a comprehensive distributionally robust joint chance-constrained (DR-JCC) framework that incorporates microgrid island, power flow, distributed batteries and voltage control constraints. All chance constraints are solved jointly and each one is assigned to an optimized violation rate. To highlight, the JCC problem with the optimized violation rates has been recognized as NP-hard and challenging to solve. This paper proposes a novel evolutionary algorithm that successfully solves this problem and reduces the solution conservativeness (i.e. operation cost) by around 50% compared with the baseline Bonferroni Approximation. We construct three data-driven ambiguity sets to model uncertain solar forecast error distributions. The solution is thus robust for any distribution in sets with the shared moments and shape assumptions. The proposed method is validated by robustness tests based on these sets and firmly secures the solution robustness.
spellingShingle Ding, Y
Morstyn, T
McCulloch, MD
Distributionally robust joint chance-constrained optimization for networked microgrids considering contingencies and renewable uncertainty
title Distributionally robust joint chance-constrained optimization for networked microgrids considering contingencies and renewable uncertainty
title_full Distributionally robust joint chance-constrained optimization for networked microgrids considering contingencies and renewable uncertainty
title_fullStr Distributionally robust joint chance-constrained optimization for networked microgrids considering contingencies and renewable uncertainty
title_full_unstemmed Distributionally robust joint chance-constrained optimization for networked microgrids considering contingencies and renewable uncertainty
title_short Distributionally robust joint chance-constrained optimization for networked microgrids considering contingencies and renewable uncertainty
title_sort distributionally robust joint chance constrained optimization for networked microgrids considering contingencies and renewable uncertainty
work_keys_str_mv AT dingy distributionallyrobustjointchanceconstrainedoptimizationfornetworkedmicrogridsconsideringcontingenciesandrenewableuncertainty
AT morstynt distributionallyrobustjointchanceconstrainedoptimizationfornetworkedmicrogridsconsideringcontingenciesandrenewableuncertainty
AT mccullochmd distributionallyrobustjointchanceconstrainedoptimizationfornetworkedmicrogridsconsideringcontingenciesandrenewableuncertainty