scholarly journals Electrostatic discharge currents representation using the Multi-peaked analytically extended function by interpolation on a D-optimal design

2017 ◽  
Author(s):  
Karl Lundengard ◽  
Milica Rancic ◽  
Vesna JavorR ◽  
Sergei Silvestrov
Keyword(s):  
Optimal Design ◽  
Electrostatic Discharge ◽  
Extended Function

scholarly journals Electrostatic discharge currents representation using the analytically extended function with p peaks by interpolation on a D-optimal design

2019 ◽  
Vol 32 (1) ◽  
pp. 25-49 ◽  
Author(s):  
Karl Lundengård ◽  
Milica Rancic ◽  
Vesna Javor ◽  
Sergei Silvestrov
Keyword(s):  
Optimal Design ◽  
Electrostatic Discharge ◽  
Lightning Discharge ◽  
Arithmetic Sequence ◽  
Data Points ◽  
Extended Function

In this paper the Analytically Extended Function (AEF) with p peaks is used for representation of the electrostatic discharge (ESD) currents and lightning discharge currents. The fitting to data is achieved by interpolation of certain data points. In order to minimize unstable behaviour, the exponents of the AEF are chosen from a certain arithmetic sequence and the interpolated points are chosen according to a D-optimal design. The method is illustrated using several examples of currents taken from standards and measurements.

Multi-peaked analytically extended function representing electrostatic discharge (ESD) currents

2017 ◽  
Author(s):  
Karl Lundengård ◽  
Milica Rančić ◽  
Vesna Javor ◽  
Sergei Silvestrov
Keyword(s):  
Electrostatic Discharge ◽  
Extended Function

scholarly journals Novel approach to modelling of lightning current derivative

2017 ◽  
Vol 30 (2) ◽  
pp. 245-256
Author(s):  
Karl Lundengård ◽  
Milica Rancic ◽  
Vesna Javor ◽  
Sergei Silvestrov
Keyword(s):  
Mathematical Modelling ◽  
Arbitrary Number ◽  
Numerical Experiments ◽  
Least Squares Method ◽  
Electrostatic Discharge ◽  
New Approach ◽  
Lightning Current ◽  
Novel Approach ◽  
Current Derivative ◽  
Extended Function

A new approach to mathematical modelling of lightning current derivative is proposed in this paper. It builds on the methodology, previously developed by the authors, for representing lightning currents and electrostatic discharge (ESD) currents waveshapes. It considers usage of a multi-peaked form of the analytically extended function (AEF) for approximation of current derivative waveshapes. The AEF function parameters are estimated using the Marquardt least-squares method (MLSM), and the framework for fitting the multi-peaked AEF to a waveshape with an arbitrary number of peaks is briefly described. This procedure is validated performing a few numerical experiments, including fitting the AEF to single- and multi-peaked waveshapes corresponding to measured current derivatives.

Crack divergence phenomena in tempered glass

2020 ◽  
Vol 13 (3) ◽  
pp. 115-129
Author(s):  
Shin’ichi Aratani
Keyword(s):  
Optimal Design ◽  
High Speed ◽  
Glass Plate ◽  
Acute Angle ◽  
Divergence Angle ◽  
High Speed Photography ◽  
Tempered Glass ◽  
Thick Glass

High speed photography using the Cranz-Schardin camera was performed to study the crack divergence and divergence angle in thermally tempered glass. A tempered 3.5 mm thick glass plate was used as a specimen. It was shown that two types of bifurcation and branching existed as the crack divergence. The divergence angle was smaller than the value calculated from the principle of optimal design and showed an acute angle.

G Optimal Design in Non linear Models to Increase Silicon Oxide Purity Levels and Electrical Conductivity

2018 ◽  
pp. 150-155
Author(s):  
Muklas Rivai
Keyword(s):  
Electrical Conductivity ◽  
Optimal Design ◽  
Linear Models ◽  
Silicon Oxide ◽  
Information Matrix ◽  
Relevant Information ◽  
Non Linear

Optimal design is a design which required in determining the points of variable factors that would be attempted to optimize the relevant information so that fulfilled the desired criteria. The optimal fulfillment criteria based on the information matrix of the selected model.

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