3D dynamic simulation of heat transfer and melt flow in an inductively heated crystallization furnace for mc-silicon with PID temperature control

Bellmann, M.P.; Lindholm, Dag; Sørheim, Einar A.; Mortensen, Dag; M’Hamdi, M.

doi:10.1016/j.jcrysgro.2013.08.022

Cited by 15 publications

(3 citation statements)

References 23 publications

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“…The global model accounting for all important aspects of heat transfer and gas flow has been developed using SiSim [41,42,43], a software dedicated to silicon production processes developed in the frame of the Norwegian center Solar United. For general 3D problems, the dependent variables are the velocities u, the pressure p, the temperature T and the radiosity J.…”

Section: Cvd Reactors Modelingmentioning

confidence: 99%

Deposition reactors for solar grade silicon: A comparative thermal analysis of a Siemens reactor and a fluidized bed reactor

Ramos

Filtvedt

Lindholm

et al. 2015

Journal of Crystal Growth

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Polysilicon production costs contribute approximately to 25-33% of the overall cost of the solar panels and a similar fraction of the total energy invested in their fabrication. Understanding the energy losses and the behaviour of process temperature is an essential requirement as one moves forward to design and build large scale polysilicon manufacturing plants. In this paper we present thermal models for two processes for poly production, viz., the Siemens process using trichlorosilane (TCS) as precursor and the fluid bed process using silane (monosilane, MS). We validate the models with some experimental measurements on prototype laboratory reactors relating the temperature profiles to product quality. A model sensitivity analysis is also performed, and the effects of some key parameters such as reactor wall emissivity, gas distributor temperature, etc., on temperature distribution and product quality are examined. The information presented in this paper is useful for further understanding of the strengths and weaknesses of both deposition technologies, and will help in optimal temperature profiling of these systems aiming at lowering production costs without compromising the solar cell quality.

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Section: Cvd Reactors Modelingmentioning

confidence: 99%

Deposition reactors for solar grade silicon: A comparative thermal analysis of a Siemens reactor and a fluidized bed reactor

Ramos

Filtvedt

Lindholm

et al. 2015

Journal of Crystal Growth

Self Cite

View full text Add to dashboard Cite

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“…Design and development of FEM-based controlled system have drawn the attention of researchers in the past few years. [17][18][19][20] Karagülle et al 21 coupled the proportional controller with FEM analysis to control the vibration of a cantilever beam by the piezoelectric actuator in ANSYS. Similarly, Russ et al 22 integrated the PID controller with FEM analysis for simultaneous vibration suspension and precise positioning of the smart structure in ANSYS.…”

Section: Introductionmentioning

confidence: 99%

Study of PID controller gain for active vibration control using FEM based particle swarm optimization in COMSOL multiphysics

Sumit

Shukla

Sinha

2022

Journal of Micromanufacturing

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Proportional integral derivative (PID) controllers are widely used to solve different control engineering problems. To know the dynamic behaviour of a working plant by mathematical modelling is quite challenging. Finite element method (FEM) is a well-known technique and broadly used for the modelling of engineering systems. This article presents the FEM-based heuristic approach to design and optimize the PID controllers. The ‘allowed area method’ has been used for the formulation of the objective function followed by the tuning of the PID controller. First, the proposed approach is tested on 2-degree of freedom (DOF) mass-spring-damper (MSD) system. FEM modelling of 2-DOF MSD system with PID controller has been carried out in COMSOL Multiphysics and coupling of particle swarm optimization (PSO) has been carried out with the FEM model of the MSD system, for the optimization of PID controller gain. The FEM results are in good agreement with the analytical one. Next, the established method is applied to design and optimize the PID controller gain to control the vibration of a cantilever beam using piezoelectric actuator. Similar to the MSD system, FEM modelling of PID controller for the smart beam has been carried out in COMSOL Multiphysics, and the coupling of PSO is carried out with the FEM model of the smart beam for the optimization of PID controller gain. Simulation of the uncontrolled and controlled responses of the smart beam is carried out at the optimum controller gain for free vibration and step excitation. The piezoelectric actuator of smart beam has successfully damped the vibration within approximately 2.5 s.

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“…The global CFD model accounting for all important aspects of heat transfer and gas flow has been developed using SiSim [Bellmann et al, 2013], , [Bellmann et al, 2014], a software dedicated to silicon production processes developed in the frame of the Norwegian center Solar United. For general problems, the dependent variables are the velocities u, the pressure p, the temperature T and the radiosity J.…”

Section: Cvd Reactors Modelingmentioning

confidence: 99%

Understanding and improving the chemical vapor deposition process for solar grade silicon production

Ramos¹

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This Doctoral Thesis comprises research on polysilicon deposition for photovoltaic (PV) applications through the chemical route: chemical vapor deposition (CVD) process. Lowering the energy consumption of the Siemens process is essential to achieve the two wider objectives for silicon-based PV technology: low production cost and low energy payback time. On the other hand, a valuable variation of this process considers the use of monosilane (MS) in a fluidized bed reactor (FBR); lower output material quality is obtained but it may fulfil the requirements for the PV industry. FBRs demand lower energy consumption than Siemens reactors but further research is necessary to address the actual challenges of these reactors. This work is centered in PV polysilicon (also known as solar grade silicon, SoG Si) CVD process from TCS -Siemens reactor-; but it also offers insights on the strengths and weaknesses of the FBR for SoG Si production.

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3D dynamic simulation of heat transfer and melt flow in an inductively heated crystallization furnace for mc-silicon with PID temperature control

Cited by 15 publications

References 23 publications

Deposition reactors for solar grade silicon: A comparative thermal analysis of a Siemens reactor and a fluidized bed reactor

Deposition reactors for solar grade silicon: A comparative thermal analysis of a Siemens reactor and a fluidized bed reactor

Study of PID controller gain for active vibration control using FEM based particle swarm optimization in COMSOL multiphysics

Understanding and improving the chemical vapor deposition process for solar grade silicon production

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