An islanding partition method of active distribution networks based on chance-constrained programming

Relationship between restored loads and chance level at different fault time. [Display omitted] •The uncertainties of islanding operation in ADNs were modelled.•A chance-constrained programming based model was built for islanding partition.•The effects of the chance level on the islanding partition...

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Vydáno v:Applied energy Ročník 242; s. 78 - 91
Hlavní autoři: Zhao, Jinli, Zhang, Mengzhen, Yu, Hao, Ji, Haoran, Song, Guanyu, Li, Peng, Wang, Chengshan, Wu, Jianzhong
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Ltd 15.05.2019
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ISSN:0306-2619, 1872-9118
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Abstract Relationship between restored loads and chance level at different fault time. [Display omitted] •The uncertainties of islanding operation in ADNs were modelled.•A chance-constrained programming based model was built for islanding partition.•The effects of the chance level on the islanding partition strategies were explored. With the high integration of uncontrollable distributed generators (NDGs) comprising photovoltaic arrays (PVs) and wind turbines (WTs), many technical issues have become increasingly prominent in the islanding operation of active distribution networks (ADNs). Such problems including branch overloading and voltage violations threaten the secure operation of distribution systems and a continuous power supply. To address the uncertainties of NDG outputs when implementing islanding partition strategies, this paper proposes a new method of the islanding partition of ADNs based on chance-constrained programming. First, power generation scenarios and probability distributions for these scenarios are generated according to historical data considering the time series characteristics and uncertainties of NDGs. Then, the chance-constrained description of islanding operation is expanded to consider the effect of uncertainties related to NDGs. Moreover, an islanding partition model of ADNs based on chance-constrained programming is established. By applying convex relaxation and introducing auxiliary variables, the model is converted to a mixed-integer quadratically constrained programming model that can be effectively solved. Finally, case studies involving the modified IEEE 33-node system, IEEE 123-node system and an actual distribution system are conducted to verify the effectiveness and scalability of the proposed method.
AbstractList With the high integration of uncontrollable distributed generators (NDGs) comprising photovoltaic arrays (PVs) and wind turbines (WTs), many technical issues have become increasingly prominent in the islanding operation of active distribution networks (ADNs). Such problems including branch overloading and voltage violations threaten the secure operation of distribution systems and a continuous power supply. To address the uncertainties of NDG outputs when implementing islanding partition strategies, this paper proposes a new method of the islanding partition of ADNs based on chance-constrained programming. First, power generation scenarios and probability distributions for these scenarios are generated according to historical data considering the time series characteristics and uncertainties of NDGs. Then, the chance-constrained description of islanding operation is expanded to consider the effect of uncertainties related to NDGs. Moreover, an islanding partition model of ADNs based on chance-constrained programming is established. By applying convex relaxation and introducing auxiliary variables, the model is converted to a mixed-integer quadratically constrained programming model that can be effectively solved. Finally, case studies involving the modified IEEE 33-node system, IEEE 123-node system and an actual distribution system are conducted to verify the effectiveness and scalability of the proposed method.
Relationship between restored loads and chance level at different fault time. [Display omitted] •The uncertainties of islanding operation in ADNs were modelled.•A chance-constrained programming based model was built for islanding partition.•The effects of the chance level on the islanding partition strategies were explored. With the high integration of uncontrollable distributed generators (NDGs) comprising photovoltaic arrays (PVs) and wind turbines (WTs), many technical issues have become increasingly prominent in the islanding operation of active distribution networks (ADNs). Such problems including branch overloading and voltage violations threaten the secure operation of distribution systems and a continuous power supply. To address the uncertainties of NDG outputs when implementing islanding partition strategies, this paper proposes a new method of the islanding partition of ADNs based on chance-constrained programming. First, power generation scenarios and probability distributions for these scenarios are generated according to historical data considering the time series characteristics and uncertainties of NDGs. Then, the chance-constrained description of islanding operation is expanded to consider the effect of uncertainties related to NDGs. Moreover, an islanding partition model of ADNs based on chance-constrained programming is established. By applying convex relaxation and introducing auxiliary variables, the model is converted to a mixed-integer quadratically constrained programming model that can be effectively solved. Finally, case studies involving the modified IEEE 33-node system, IEEE 123-node system and an actual distribution system are conducted to verify the effectiveness and scalability of the proposed method.
Author Zhao, Jinli
Ji, Haoran
Wang, Chengshan
Zhang, Mengzhen
Li, Peng
Yu, Hao
Song, Guanyu
Wu, Jianzhong
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  organization: Institute of Energy, School of Engineering, Cardiff University, Cardiff CF24 3AA, UK
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Keywords Chance constrained
Islanding partition
Uncertainty
Active distribution network
Mixed-integer quadratically constrained programming
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Snippet Relationship between restored loads and chance level at different fault time. [Display omitted] •The uncertainties of islanding operation in ADNs were...
With the high integration of uncontrollable distributed generators (NDGs) comprising photovoltaic arrays (PVs) and wind turbines (WTs), many technical issues...
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StartPage 78
SubjectTerms Active distribution network
case studies
Chance constrained
electric potential difference
Islanding partition
Mixed-integer quadratically constrained programming
power generation
probability distribution
time series analysis
Uncertainty
wind turbines
Title An islanding partition method of active distribution networks based on chance-constrained programming
URI https://dx.doi.org/10.1016/j.apenergy.2019.03.118
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