Solving Index-1 DAEs in MATLAB and Simulink

Shampine, L. F.; Reichelt, Mark W.; Kierzenka, Jacek

doi:10.1137/s003614459933425x

Cited by 419 publications

(295 citation statements)

References 9 publications

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“…34 Here, a numerical solution to Poisson's equation was found using a finite difference method that implements a Lobatto IIIa formula in Matlab. 35 For 1 X cm n-Si, for example, a space region charge of À10 12 q/cm 2 is produced when the SCR potential (band bending) is $0.16 V, with an excess minority carrier concentration of 10 15 cm À3 (calculated using Equation (B2a) in Ref. 15).…”

Section: Recombination In the Space Charge Regionmentioning

confidence: 99%

On the c-Si/SiO2 interface recombination parameters from photo-conductance decay measurements

Wilshaw

2017

Journal of Applied Physics

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The recombination of electric charge carriers at semiconductor surfaces continues to be a limiting factor in achieving high performance optoelectronic devices, including solar cells, laser diodes, and photodetectors. The theoretical model and a solution algorithm for surface recombination have been previously reported. However, their successful application to experimental data for a wide range of both minority excess carrier concentrations and dielectric fixed charge densities has not previously been shown. Here, a parametrisation for the semiconductor-dielectric interface charge Qit is used in a Shockley-Read-Hall extended formalism to describe recombination at the c-Si/SiO2 interface, and estimate the physical parameters relating to the interface trap density Dit, and the electron and hole capture cross-sections σn and σp. This approach gives an excellent description of the experimental data without the need to invoke a surface damage region in the c-Si/SiO2 system. Band-gap tail states have been observed to limit strongly the effectiveness of field effect passivation. This approach provides a methodology to determine interface recombination parameters in any semiconductor-insulator system using macro scale measuring techniques.

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Section: Recombination In the Space Charge Regionmentioning

confidence: 99%

On the c-Si/SiO2 interface recombination parameters from photo-conductance decay measurements

Wilshaw

2017

Journal of Applied Physics

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“…Then these equations are to be numerically solved reaching the final time moment t f on the considered time interval [t 0 , t f ] with the initial condition u(t 0 ) = u 0 and the guess value v 0 for v(t 0 ) [8]. Assuming that the algebraic equations 0 = f 2 (t, u 0 , v 0 ) have the solution V near v 0 , the key requirement is that the Jacobian ∂f 2 /∂ v is non-singular in the region containing (t 0 , u 0 , V).…”

Section: Methodsmentioning

confidence: 99%

Modelling for efficient network system design considering physical processes and power consumption

Alzbutas¹,

Iešmantas²,

Skema³

et al. 2013

Energetika

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The subject matter of this article is a part of a broader and more complex issue: modelling of physical processes and assessment of various variables, such as power consumption, reliability, etc., for the purpose of designing systems, which involve network nodes affected by physical processes.The first part of this article is devoted to presentation of the tool called Energy Simulator. This tool is intended for the purpose of modelling of network systems or processes when power consumption is of interest. The Energy Simulator is constructed as a simulation service able to automatically (i. e. without any human action) construct a model from technical specifications and simulate new / innovative network or system designs and estimate energy use for them. Structurally, the Energy Simulator combines the usage of Simple Object Access Protocol together with calculation / simulation environment. This provides with the possibility of scheduling or parallelization of tasks.For the optimization of existing systems or for designing new ones, consumed energy estimate is a tremendously important part and this new tool could be a handy support for engineers, especially since new governmental laws or directives at the European Union level are being established with strict energy efficiency requirements. The usage of this tool is demonstrated for compressed air systems. We a priori assume that the power consumption in such systems is entirely governed by the thermodynamics of compressed air flow. Implementation of compressed air systems is based on the physical network concept when the system is represented as consisting of functional elements or subsystems that interact with each other by energy flow and variables of physical processes which impact the power consumption.Key words: power consumption, compressed air systems, network, designing, simulation and modelling InTRoducTIonA system is a group of objects, i. e. elements or subsystems whose interaction serves for a common purpose. Many measures are used to evaluate how closely the design of systems and subsystems meets the desired functionality and constraints. Some of the measures include performance, energy and power consumption, reliability, cost of design and manufacturing.When designing a system, several choices must be made concerning the type of elements to be used and configuration of their assembly. The choice is driven by the objectives 84Robertas Alzbutas, Tomas Iešmantas, Romualdas Škėma, Tomas Blažauskas with the economic costs, reliability, energy consumption associated to the design implementation, system construction and future operation, etc.In addition, designing complex engineered artefacts (and collections of them) most likely requires use of simulations coupled with optimization techniques [1]. As complexity increases, ability to employ intuition (even for understanding the computed trade-offs) declines rapidly. Furthermore, person's ability to actually solve these system optimization problems becomes suspect as dimensionality increases.From all th...

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“…To find the solution with the help of bvp4c solver, we first change the existing differential equations into differential equations of order one with the help of some considerations. The detailed form of the bvc4c method is mentioned inShampine and Kierzenka [22].…”

Section: Solution Of the Problemmentioning

confidence: 99%

Effect of viscous dissipation of a magneto hydrodynamic micropolar fluid with momentum and temperature dependent slip flow

Gangadhar¹,

Kumar²,

Narayana³

et al. 2017

IOP Conf. Ser.: Mater. Sci. Eng.

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Solving Index-1 DAEs in MATLAB and Simulink

Cited by 419 publications

References 9 publications

On the c-Si/SiO2 interface recombination parameters from photo-conductance decay measurements

On the c-Si/SiO2 interface recombination parameters from photo-conductance decay measurements

Modelling for efficient network system design considering physical processes and power consumption

Effect of viscous dissipation of a magneto hydrodynamic micropolar fluid with momentum and temperature dependent slip flow

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