Abstract
In this study, an interval fuzzy queue-storage (IFQS) method is developed through integrating interval-parameter programming, fuzzy queue and storage theory into a general framework. IFQS is not only capable of reflecting the effects of queue and storage on electric power systems (EPS), but also helpful for dealing with dual uncertainties expressed as fuzzy sets and interval values. Then, an IFQS-EPS model is formulated for the City of Shijiazhuang (the capital of Hebei province), where M/M/1 (exponential interarrival time, exponential service time and one server) queue with fuzzy information and different storage periods are measured. Results reveal that (i) coal mines in Yulin, Datong and Jincheng would be the major coal suppliers for the study city (providing over 77% of coal); (ii) as waiting time adds 1 day, system cost would increase around $200 million and nitrogen dioxide (NOx) emission would grow approximately 91 ton; (iii) system cost and NOx emission would respectively decrease $370 × 106 and 90 × 103 ton when storage period varies from 10 day to 20 day; (iv) electricity generated by coal would reduce 5% due to the limitation of coal supply and the control of air pollution. Compared to interval-fuzzy queue (IFQ) approach, the developed IFQS method has advantages in balancing coal purchase batch and storage cost, such that an optimal system cost can be obtained. Results can not only facilitate to generate appropriate coal purchase and electricity generation plans, but also reveal effects of queuing and storage issues on EPS under complicated uncertainties.
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