This thesis compiles the publications I coauthored during my doctoral studies at University of Leipzig on the subject of optimizing thermodynamic systems, focusing on three optimization perspectives: maximum efficiency, maximum power, and maximum efficiency at given power. We considered two currently intensely studied models in finite-time thermodynamics, i.e., low-dissipation models and Brownian systems. The low-dissipation model is used to derive general bounds on the performance of real-world machines, while Brownian systems allow us to better understand the practical limits and features of small systems. First, we derived maximum efficiency at given power for various low-dissipation setups, with a particular focus on the behavior close to maximum power, which helps us to determine whether it is more beneficial to operate the system at maximum power, near maximum power or in a different regime. Then, we move to the design of maximum-efficiency and maximum-power protocols for Brownian systems under different boundary conditions. Particularly, when the constraints on control parameters are experimentally motivated, we presented a geometric method yielding maximum-efficiency and maximum-power protocols valid for systems with periodically scaled energy spectrum and otherwise arbitrary dynamics. Each chapter contains a short informal introduction to the matter as well as an outlook, pointing out the direction for our research in the future.

A ratchet is an asymmetric, non-equilibrated system that can produce a directed current of particles without the need for macroscopic potential gradients. In rocked quantum electron ratchets, tunnelling and wave-reflection can induce reversals in the direction of the net current as a function of system parameters. An asymmetric quantum point contact in a GaAs/GaAlAs heterostructure has been studied experimentally as a realisation of a quantum electron ratchet. A Landauer model predicts reversals in the direction of the net current as a function of temperature, amplitude of the rocking voltage, and Fermi energy. Artifacts such as circuit-induced asymmetry, also known as self-gating, were carefully removed from the experimental data, which showed net current and net differential conductance reversals, as predicted by the model. The model also predicts the existence of a heat current where the net electron current changes sign, as equal numbers of high and low energy electrons are pumped in opposite directions. An idealised quantum electron ratchet is studied analytically as an energy selective electron heat engine and refrigerator. The hypothetical device considered consists of two electron reservoirs with different temperatures and Fermi energies. The reservoirs are linked via a resonant state in a quantum dot, which functions as an idealised energy filter for electrons. The efficiency of the device approaches the Carnot value when the energy transmitted by the filter is tuned to that where the Fermi distributions in the reservoirs are equal. The maximum power regime, where the filter transmits all electrons that contribute positively to the power, is also examined. Analytic expressions are obtained for the power and efficiency of the idealised device as both a heat engine and as a refrigerator in this regime of operation. The expressions depend on the ratio of the voltage to the difference in temperature of the reservoirs, and on the ratio of the reservoir temperatures. The energy selective electron heat engine is shown to be non-endoreversible, and to operate in an analogous manner to the three-level amplifier, a laser based quantum heat engine. Implications for improving the efficiency of thermionic refrigerators and power generators are discussed.

Les progrès technologiques considérables menés depuis ces dernières décennies nous permettent aujourd’hui de disséminer dans notre environnement une nuée de noeuds de capteurs communicants combinant la taille micrométrique et la consommation dérisoire caractéristiques des MEMS avec la puissance des protocoles de communications Internet. L’Internet des Objets, formé par ce réseau de capteurs, possède le potentiel d‘optimiser un grand panel d’applications industrielles et domotiques. Le nouveau défi, que la communauté du Energy Harvesting tente de relever depuis une décennie maintenant, est de rendre ces noeuds de capteurs autonomes en les alimentant grâce à l’énergie perdue dans leur environnement. Dans ces travaux de recherche, nous explorons le potentiel d’un principe thermo-fluidique auto-oscillant pour la génération d’énergie utile à partir d’une source thermique de faible qualité. L’implémentation de cette technologie en tant que machine thermique est étudiée et mène à la caractérisation d’un nouveau cycle thermodynamique caractéristique du SOFHE (Self Oscillating Fluidic Heat Engine). Nous montrons, par une approche phénoménologique, que notre machine thermique se comporte comme un oscillateur mécanique, excité par les évaporations et condensations successives du fluide de travail. Ces changements de phase alternatifs mettent en mouvement une colonne d’eau, jouant le rôle de masse, couplée à une zone de vapeur, jouant le rôle d’un ressort. Une étude de l’influence du couplage du SOFHE avec un transducteur électromécanique, représenté par un oscillateur, mène à la conception et la fabrication d’une spirale piézoélectrique. L’intégration de cette spirale à notre machine thermique forme un générateur thermo-électrique dont les capacités de conversion sont démontrées par la charge d’une capacité. Finalement, la miniaturisation du principe thermo-fluidique SOFHE est rendue possible par la réalisation d’un procédé de fabrication utilisant les techniques MEMS. Des dispositifs miniatures parviennent à exhiber un comportement oscillatoire montrant le potentiel d’intégration de cette technologie. / Abstract : The tremendous technological progresses realized in the last decades allow us to swarm our environment with Wireless Sensors Networks. These WSNs combine the MEMS’ miniature size and low energy consumption, and the powerful Internet communication protocols. This Internet of Things shows great potential in many applications such as industry or housing. For a decade now, the Energy Harvesting community wants to build autonomous WSNs by enabling them to feed off energy wastes. In this work, we study the electricity generation capabilities of a Self-Oscillating Fluidic Heat Engine (SOFHE) and present its characteristic thermodynamic cycle. Our model shows that the SOFHE acts as a mechanical resonator excited by the successive evaporation and condensation processes underwent by the working fluid. These phase changes put a liquid mass in motion, coupled with a vapor spring. The coupling of our heat engine with an electromechanical transducer is studied and leads to a piezoelectric spiral conception and fabrication. Their association forms a thermo-electrical generator able to power and charge an electrical capacitor. Eventually, we demonstrate the miniaturization prospects and integration potential of this SOFHE technology. A micro-fabrication process enables a SOFHE MEMS implementation. Our process includes a deep glass wet etching step as well as a Au-Si eutectic wafer bonding.

Rapporten avhandlar en konceptstudie för omvandling av termisk energi till elektrisk samt mekanisk energi, i den autonoma undervattensfarkosten SAPPHIRES. Inledningsvis utreds vilka förväntningar och krav som finns på konceptet för energiomvandling samt om där finns någon publicerad litteratur som redan gjort ansträngningar för att lösa det aktuella problemet. Allmän teori kring värmemotorer och en bred, systematisk litteratursökning inkluderas även i det arbetet. Energiomvandlingen antas kunna ske enligt två fall kallade ”hög-prestanda” och ”låg/medel-prestanda”, vilka innebär att mekanisk samt elektrisk effekt, respektive endast elektrisk effekt ska kunna levereras av konceptet. De mekaniska samt elektriska effekterna ska, vidare, kunna levereras om maximalt 600, respektive 6 kW, och konceptet ska åtminstone kunna uppfylla ett av energiomvandlingsfallen. Den faktiska konceptstudien utgörs av två iterationer av konceptgenereringar, -utvärderingar och -val och de visar att ett koncept kallat ”Öppet system inspirerat av nukleär värmeframdrivning” förefaller vara det bästa sättet att omvandla termisk energi i SAPPHIRES. Därtill indikerar en mer detaljerad analys, bestående av bland annat matematisk modellering och konceptuell konstruktion, att konceptet möjligen skulle kunna uppfylla så kallad ”hög-prestanda” och sedermera leverera både mekanisk och elektrisk effekt om 600, respektive 6 kW. Mer specifikt visar en matematisk analys, med hjälp av vissa antaganden rörande konceptets funktion, att ett ”Öppet system inspirerat av nukleär värmeframdrivning” skulle kunna leverera en mekanisk effekt om 1025 kW samt en elektrisk effekt om 141 kW. En grov, konceptuell konstruktion bekräftar också att konceptets vitala, ingående komponenter faktiskt kan rymmas inom de specificerade dimensionskraven (en cylinderformad volym med en längd och diameter om 1,7, respektive 0,5 m.). Det står dock klart att de möjliga koncepten för energiomvandling kraftigt begränsas av deras möjligheter att leverera tillräcklig mekanisk effekt, för att uppnå ”hög-prestanda”. Om endast ”låg/medel-prestanda” ska uppfyllas tillåts fler av de möjliga koncepten och i ett sådant fall skulle faktorer som underhåll, miljöpåverkan och SAPPHIRES signatur kunna prioriteras i högre utsträckning. / The report discusses a concept study regarding the conversion of thermal energy into electrical and mechanical energy, in the autonomous underwater vehicle SAPPHIRES. First, the requirements and expectations regarding the concept of energy conversion are investigated and efforts are made to identify any published literature, which has already made attempts of solving the issue. General theory regarding heat engines and an extensive literature study are also included in this work. The energy conversion is assumed to perform according to two cases called "high-performance" and "low/medium-performance", meaning mechanical and electrical energy or electrical power should be delivered by the concept, respectively. More specifically, the mechanical and electrical powers should be delivered of a maximum of 600 and 6 kW, respectively and the concept should at least fulfill one of the performance settings. The actual concept study comprises of two iterations of concept generations, evaluations and selections and shows that a concept called "Open system inspired by nuclear thermal propulsion" seems to be the best way of converting thermal energy on-board SAPPHIRES. Moreover, a more detailed analysis, comprising of, inter alia, mathematical modelling and conceptual design, indicates that the concept possibly can meet the so-called "high-performance" and thus, deliver both mechanical and electrical powers of 600 and 6 kW, respectively. More specifically, a mathematical analysis, based on some assumptions regarding the concept's functionality, shows that an "Open system inspired by nuclear thermal propulsion" could deliver a mechanical power of 1025 kW and an electrical power of 141 kW. Rough conceptual design also shows that the vital parts of the concept could fit within the specified maximal dimensions (a cylinder-shaped volume with a length and diameter of 1.7 and 0.5 m, respectively). However, it is clear the possible concepts of energy conversion are severely limited by their capacities of delivering enough mechanical energy, to meet the "high-performance" demands. Assuming only the "low/medium-performance" has to be met, more possible concepts becomes available and in that case, factors such as maintenance, environmental impact and signature of SAPPHIRES could be considered to a greater extent.

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