Multivariable power least squares method: Complementary tool for Response Surface Methodology

Tey, Wah Yen; Lee, Kiat Moon; Asako, Yutaka; Tan, L. C.; Arai, Norio

doi:10.1016/j.asej.2019.08.002

Cited by 11 publications

(14 citation statements)

References 42 publications

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“…The multivariable power least square method (MPLSM) that was recently formulated by Tey et al [ 47 ] was used to model the experimental data. The normalized MPLSM was applied by converting the factors of frequency f and temperature T into normalized frequency f and normalized temperature T respectively:

where C is an integer.…”

Section: Methodsmentioning

confidence: 99%

Investigating the Mechanical Properties and Durability of Asphalt Mixture Modified with Epoxidized Natural Rubber (ENR) under Short and Long-Term Aging Conditions

et al. 2022

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Modifiers such as fibers, fillers, natural and synthetic polymer extenders, oxidants and anti-oxidants, and anti-stripping agents are added to produce modified asphalt. However, polymers are the most widely utilized modifiers to enhance the function of asphalt mixtures. The objective of this research was to evaluate the mechanical properties and durability of epoxidized natural rubber (ENR)-modified asphalt mix under short- and long-term aging conditions. The physical and rheological characteristics of the base asphalt and ENR-modified asphalt (ENRMA) were tested. In order to evaluate the mechanical properties and durability of the modified mixtures, the resilient modulus of the ENR–asphalt mixtures under unaged, and short- and long-term aging conditions at various temperatures and frequencies was obtained. Furthermore, the resistance to moisture damage of asphalt mixtures was investigated. The findings showed that the stiffness of the ENR–asphalt mixes increased because of the mutual influence of short- and long-term aging on the mixes. In addition, ENR reduced the susceptibility to moisture damage. The stiffness of the mixes was influenced by the temperature and frequencies. By using mathematical modelling via the multivariable power least squares method, it was found that temperature was the dominant factor among all other factors. The results suggested that the durability of asphalt pavements is improved by using ENR.

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where C is an integer.…”

Section: Methodsmentioning

confidence: 99%

Investigating the Mechanical Properties and Durability of Asphalt Mixture Modified with Epoxidized Natural Rubber (ENR) under Short and Long-Term Aging Conditions

et al. 2022

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“…Expression ( 4) is a function of induction and the square of induction. It is approximated using a least-square method [23]. Since, according to Table 2, at a zero input value (В р =0), the value of the function р р50 =0 in the equation based on a least-square method would lack a free term.…”

Section: Determining the Coercive Force And Coefficients That Take Into Consideration Losses Due To Hysteresis And Eddy Currentsmentioning

confidence: 99%

Improvement of the Model of Power Losses in the Pulsed Current Traction Motor in an Electric Locomotive

Goolak¹,

Sapronova

Tkachenko

et al. 2021

Theoretical Foundations of Engineering. Tasks and Problems

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When studying transients in pulsed current traction motors, it is important to take into consideration the eddy and hysteresis losses in engine steel. Magnetic losses are a function of the magnetization reversal frequency, which, in turn, is a function of the engine shaft rotation frequency.In other words, magnetic losses are a function of time. Existing calculation procedures do not make it possible to derive the instantaneous values of magnetic losses as they are based on determining average losses over a period. This paper proposes an improved model of magnetic losses in the steel of a pulsed current traction motor as a function of time, based on the equations of specific losses. The adequacy criteria of the procedure for determining magnetic losses in electrical steel have been substantiated: the possibility to derive instantaneous values of magnetic losses in the magnetic material as a function of time; the possibility of its application for any magnetic material; and the simplicity of implementation. The procedure for determining magnetic losses in the steel of a pulsed current traction motor has been adapted by taking into consideration the magnetic properties of steel and the geometry of the engine's magnetic circuit. In order to determine the coercive force, the coefficient of accounting for the losses due to eddy currents, as well as the coefficient that considers the losses on hysteresis, the specifications' characteristics of specific losses in steel have been approximated using the pulsed current traction motor as an example. The simulated model of magnetic losses by the pulsed current traction motor has demonstrated the procedure for determining average magnetic losses and time diagrams of magnetic losses. The proposed model for determining magnetic losses could be used for any magnetic material and any engine geometry under the condition of known material properties and the characteristics of change in the magnetic flux density in geometry

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“…Expression 4is a function of induction and the square of induction. It is approximated using a least-square method [23]. Since, according to Table 2, at a zero input value (В р =0), the value of the function р р50 =0 in the equation based on a least-square method would lack a free term.…”

Section: Determining the Coercive Force And Coefficients That Takementioning

confidence: 99%

“…The study of magnetic losses in the traction motor's steel began by determining the magnetic flux of the traction motor armature, which is defined from expression (23). To this end, based on expression (24), we approximated the reduced EMF and the shaft rotation frequency and combined them into one block "Magnetic flux detection unit".…”

Section: Simulation Model Of Magnetic Losses In the Steel Of A Pulsedmentioning

confidence: 99%

Improvement of the model of power losses in the pulsed current traction motor in an electric locomotive

Goolak

Sapronova

Tkachenko

et al. 2020

EEJET

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Multivariable power least squares method: Complementary tool for Response Surface Methodology

Cited by 11 publications

References 42 publications

Investigating the Mechanical Properties and Durability of Asphalt Mixture Modified with Epoxidized Natural Rubber (ENR) under Short and Long-Term Aging Conditions

Investigating the Mechanical Properties and Durability of Asphalt Mixture Modified with Epoxidized Natural Rubber (ENR) under Short and Long-Term Aging Conditions

Improvement of the Model of Power Losses in the Pulsed Current Traction Motor in an Electric Locomotive

Improvement of the model of power losses in the pulsed current traction motor in an electric locomotive

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