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Analog Implementation of Fractional-Order Elements and Their Applications
Kartci, Aslihan ; Štork, Milan (oponent) ; Machado,, José Tenreiro (oponent) ; Brančík, Lubomír (vedoucí práce)
With advancements in the theory of fractional calculus and also with widespread engineering application of fractional-order systems, analog implementation of fractional-order integrators and differentiators have received considerable attention. This is due to the fact that this powerful mathematical tool allows us to describe and model a real-world phenomenon more accurately than via classical “integer” methods. Moreover, their additional degree of freedom allows researchers to design accurate and more robust systems that would be impractical or impossible to implement with conventional capacitors. Throughout this thesis, a wide range of problems associated with analog circuit design of fractional-order systems are covered: passive component optimization of resistive-capacitive and resistive-inductive type fractional-order elements, realization of active fractional-order capacitors (FOCs), analog implementation of fractional-order integrators, robust fractional-order proportional-integral control design, investigation of different materials for FOC fabrication having ultra-wide frequency band, low phase error, possible low- and high-frequency realization of fractional-order oscillators in analog domain, mathematical and experimental study of solid-state FOCs in series-, parallel- and interconnected circuit networks. Consequently, the proposed approaches in this thesis are important considerations in beyond the future studies of fractional dynamic systems.
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Utilization of porous anodic alumina for fabrication of nanostructured layers and their photoelectrochemical and optical applications
Lednický, Tomáš ; Vanýsek, Petr (oponent) ; Sulka, Grzegorz (oponent) ; Bendová, Mária (vedoucí práce)
Porous anodic alumina (PAA) is an oxide layer formed by anodic oxidation of aluminium. In addition to its vast industrial use, its popularity has exponentially expanded into the field of nanotechnology due to the discovery of the self-ordering growth of PAA, leading to a honeycomb-like nanostructure. Together with a simple fabrication and tuneable properties, PAA represents an inexpensive alternative to the nanoscale world. In the same spirit, this PhD thesis deals with methods utilizing the PAA to fabricate functional nanostructures. The first part of the thesis is focused on the PAA-assisted formation of titanium dioxide (TiO2) nanocolumn arrays and their possible application as photoanodes for the water-splitting reaction. TiO2 nanocolumns are formed by anodisation of superimposed Al layer over titanium substrate being so-called ‘PAA-assisted anodisation’. The present study demonstrates the electrochemical properties and photoelectrochemical performance of nanocolumns formed from nitrogen-enriched substrates modified by various thermal treatments. The major finding was that their hollow morphology causes their poor performance. This issue was addressed by developing a novel anodising strategy that originates from the extensive study of anodising parameters and their effect on the morphology and stability of nanocolumns. The second part demonstrates the fabrication of well-ordered gold nanoparticles (AuNPs) on a transparent substrate as a localized surface plasmon resonance (LSPR) sensor element. A key-stone of this multidisciplinary method is a combination of a self-ordering behaviour of PAA that produces the template for controlled solid-state dewetting (SSD) of a subsequently deposited thin film of gold. This work includes the detailed technical aspects of complete fabrication, starting with the template production from an aluminium sheet to forming AuNPs and their transfer to a transparent substrate. This part is concluded with the characterization of fabricated AuNP nanocomposites with a practical comparison of their bulk refractive index sensitivity and stability in time. Results show this large-scale and inexpensive technique can easily compete with other, more demanding, AuNP fabrication technologies.
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Utilization of porous anodic alumina for fabrication of nanostructured layers and their photoelectrochemical and optical applications
Lednický, Tomáš ; Vanýsek, Petr (oponent) ; Sulka, Grzegorz (oponent) ; Bendová, Mária (vedoucí práce)
Porous anodic alumina (PAA) is an oxide layer formed by anodic oxidation of aluminium. In addition to its vast industrial use, its popularity has exponentially expanded into the field of nanotechnology due to the discovery of the self-ordering growth of PAA, leading to a honeycomb-like nanostructure. Together with a simple fabrication and tuneable properties, PAA represents an inexpensive alternative to the nanoscale world. In the same spirit, this PhD thesis deals with methods utilizing the PAA to fabricate functional nanostructures. The first part of the thesis is focused on the PAA-assisted formation of titanium dioxide (TiO2) nanocolumn arrays and their possible application as photoanodes for the water-splitting reaction. TiO2 nanocolumns are formed by anodisation of superimposed Al layer over titanium substrate being so-called ‘PAA-assisted anodisation’. The present study demonstrates the electrochemical properties and photoelectrochemical performance of nanocolumns formed from nitrogen-enriched substrates modified by various thermal treatments. The major finding was that their hollow morphology causes their poor performance. This issue was addressed by developing a novel anodising strategy that originates from the extensive study of anodising parameters and their effect on the morphology and stability of nanocolumns. The second part demonstrates the fabrication of well-ordered gold nanoparticles (AuNPs) on a transparent substrate as a localized surface plasmon resonance (LSPR) sensor element. A key-stone of this multidisciplinary method is a combination of a self-ordering behaviour of PAA that produces the template for controlled solid-state dewetting (SSD) of a subsequently deposited thin film of gold. This work includes the detailed technical aspects of complete fabrication, starting with the template production from an aluminium sheet to forming AuNPs and their transfer to a transparent substrate. This part is concluded with the characterization of fabricated AuNP nanocomposites with a practical comparison of their bulk refractive index sensitivity and stability in time. Results show this large-scale and inexpensive technique can easily compete with other, more demanding, AuNP fabrication technologies.
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Perovskite Solar Cells Fabrication With Passivation Effect Of High Mobitity Phenothiazine-Based Hole Transport Layer
Gajdos, Adam
Perovskite solar cells are today one of the hottest topics in photovoltaic devices. Compared to traditional c-Si, thin-film CIGS or CdTe solar cells, the fabrication of this type of solar cell is much cheaper, because production does not require ownership of a very expensive equipment and instrumentation. However, it has to be taken into account it has some initial issues as well as other newly developed technologies in the early stages of preparation for a commercial production. This paper deals with a newly synthesized hole transport material as a replacement of commercially available high-cost Spiro-OMETAD transport material. This commercial material has two main issues. Firstly, its production is very expensive and secondly it does not perform a function of a passivation layer for a sensitive perovskite layer. Our newly developed molecule has a positive effect on achieving long-term stable perovskite along with much cheaper production. The produced perovskite solar cell does not achieve highest power conversion efficiency, but they still look promising inf the view of long-term consistent performance.
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Analog Implementation of Fractional-Order Elements and Their Applications
Kartci, Aslihan ; Štork, Milan (oponent) ; Machado,, José Tenreiro (oponent) ; Brančík, Lubomír (vedoucí práce)
With advancements in the theory of fractional calculus and also with widespread engineering application of fractional-order systems, analog implementation of fractional-order integrators and differentiators have received considerable attention. This is due to the fact that this powerful mathematical tool allows us to describe and model a real-world phenomenon more accurately than via classical “integer” methods. Moreover, their additional degree of freedom allows researchers to design accurate and more robust systems that would be impractical or impossible to implement with conventional capacitors. Throughout this thesis, a wide range of problems associated with analog circuit design of fractional-order systems are covered: passive component optimization of resistive-capacitive and resistive-inductive type fractional-order elements, realization of active fractional-order capacitors (FOCs), analog implementation of fractional-order integrators, robust fractional-order proportional-integral control design, investigation of different materials for FOC fabrication having ultra-wide frequency band, low phase error, possible low- and high-frequency realization of fractional-order oscillators in analog domain, mathematical and experimental study of solid-state FOCs in series-, parallel- and interconnected circuit networks. Consequently, the proposed approaches in this thesis are important considerations in beyond the future studies of fractional dynamic systems.
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