A novel optimal PID controller autotuning design based on the SLP algorithm
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Publication Details
Author list: Pongfai J., Su X., Zhang H., Assawinchaichote W.
Publisher: Wiley
Publication year: 2020
Journal: Expert Systems: The Journal of Knowledge Engineering (0266-4720)
Volume number: 37
Issue number: 2
ISSN: 0266-4720
eISSN: 1468-0394
Languages: English-Great Britain (EN-GB)
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Abstract
In this study, the molecular compressibility (k m ) of a fatty-acid methyl ester (FAME) or a biodiesel is correlated with ΔG, (Formula presented.), via the Gibbs energy additivity method, where MW is the molecular weight of the FAME or the average MW of the biodiesel. The Gibbs energy associated with molecular compressibility ((Formula presented.)) is further correlated with the structure of FAME. Thus, the relationship between the structure (of a FAME or a biodiesel) and the physical property (k m ) is established. Thus, k m of a FAME at different temperatures can be easily estimated from the carbon numbers of fatty acid (z) and the number of double bonds (n d ) with good accuracy. For biodiesel, k m is calculated from the same equation with the average z (z (ave) ) and average n d (n d(ave) ). k m is not temperature independent and a slight change in k m depends on the structure of the FAME and biodiesel. For FAME having 14 carbon atoms or less in the fatty acid, k m decreases as temperature is increased. On the other hand, for FAME with a longer chain length (16 or higher), k m increases as temperature is increased. Similarly, a double bond in the long-chain FAME is more sensitive to temperature than the saturated FAME. © 2018 AOCS
Keywords
Fatty-acid methyl ester, Gibbs energy additivity, Molecular compressibility