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Cette thèse est une collection de trois articles en macroéconomie et finances publiques. Elle développe des modèles d'Equilibre Général Dynamique et Stochastique pour analyser les implications macroéconomiques des politiques d'imposition des entreprises en présence de marchés financiers imparfaits. Le premier chapitre analyse les mécanismes de transmission à l'économie, des effets d'un ré-échelonnement de l'impôt sur le profit des entreprises. Dans une économie constituée d'un gouvernement, d'une firme représentative et d'un ménage représentatif, j'élabore un théorème de l'équivalence ricardienne avec l'impôt sur le profit des entreprises. Plus particulièrement, j'établis que si les marchés financiers sont parfaits, un ré-échelonnement de l'impôt sur le profit des entreprises qui ne change pas la valeur présente de l'impôt total auquel l'entreprise est assujettie sur toute sa durée de vie n'a aucun effet réel sur l'économie si l'état utilise un impôt forfaitaire. Ensuite, en présence de marchés financiers imparfaits, je montre qu'une une baisse temporaire de l'impôt forfaitaire sur le profit des entreprises stimule l'investissement parce qu'il réduit temporairement le coût marginal de l'investissement. Enfin, mes résultats indiquent que si l'impôt est proportionnel au profit des entreprises, l'anticipation de taxes élevées dans le futur réduit le rendement espéré de l'investissement et atténue la stimulation de l'investissement engendrée par la réduction d'impôt. Le deuxième chapitre est écrit en collaboration avec Rui Castro. Dans cet article, nous avons quantifié les effets sur les décisions individuelles d'investis-sement et de production des entreprises ainsi que sur les agrégats macroéconomiques, d'une baisse temporaire de l'impôt sur le profit des entreprises en présence de marchés financiers imparfaits. Dans un modèle où les entreprises sont sujettes à des chocs de productivité idiosyncratiques, nous avons d'abord établi que le rationnement de crédit affecte plus les petites (jeunes) entreprises que les grandes entreprises. Pour des entreprises de même taille, les entreprises les plus productives sont celles qui souffrent le plus du manque de liquidité résultant des imperfections du marché financier. Ensuite, nous montré que pour une baisse de 1 dollar du revenu de l'impôt, l'investissement et la production augmentent respectivement de 26 et 3,5 centimes. L'effet cumulatif indique une augmentation de l'investissement et de la production agrégés respectivement de 4,6 et 7,2 centimes. Au niveau individuel, nos résultats indiquent que la politique stimule l'investissement des petites entreprises, initialement en manque de liquidité, alors qu'elle réduit l'investissement des grandes entreprises, initialement non contraintes. Le troisième chapitre est consacré à l'analyse des effets de la réforme de l'imposition des revenus d'entreprise proposée par le Trésor américain en 1992. La proposition de réforme recommande l'élimination des impôts sur les dividendes et les gains en capital et l'imposition d'une seule taxe sur le revenu des entreprises. Pour ce faire, j'ai eu recours à un modèle dynamique stochastique d'équilibre général avec marchés financiers imparfaits dans lequel les entreprises sont sujettes à des chocs idiosyncratiques de productivité. Les résultats indiquent que l'abolition des impôts sur les dividendes et les gains en capital réduisent les distorsions dans les choix d'investissement des entreprises, stimule l'investissement et entraîne une meilleure allocation du capital. Mais pour être financièrement soutenable, la réforme nécessite un relèvement du taux de l'impôt sur le profit des entreprises de 34\% à 42\%. Cette hausse du taux d'imposition décourage l'accumulation du capital. En somme, la réforme engendre une baisse de l'accumulation du capital et de la production respectivement de 8\% et 1\%. Néanmoins, elle améliore l'allocation du capital de 20\%, engendrant des gains de productivité de 1.41\% et une modeste augmentation du bien être des consommateurs. / This thesis is a collection of three papers in macroeconomics and public finance. It develops Dynamic Stochastic General Equilibrium Models with a special focus on financial frictions to analyze the effects of changes in corporate tax policy on firm level and macroeconomic aggregates. Chapter 1 develops a dynamic general equilibrium model with a representative firm to assess the short-run effects of changes in the timing of corporate profit taxes. First, it extends the Ricardian equivalence result to an environment with production and establishes that a temporary corporate profit tax cut financed by future tax-increase has no real effect when the tax is lump sum and capital markets are perfect. Second, I assess how strong the ricardian forces are in the presence of financing frictions. I find that when equity issuance is costly, and when the firm faces a lower bound on dividend payments, a temporary tax cut reduces temporary the marginal cost of investment and implies positive marginal propensity of investment. Third, I analyze how do the intertemporal substitution effects of tax cuts interact with the stimulative effects when tax is not lump-sum. The results show that when tax is proportional to corporate profit, the expectations of high future tax rates reduce the expected marginal return on investment and mitigate the stimulative effects of tax cuts. The net investment response depends on the relative strength of each effect. Chapter 2 is co-authored with Rui Castro. In this paper, we quantify how effective temporary corporate tax cuts are in stimulating investment and output via relaxation of financing frictions. In fact, policymakers often rely on temporary corporate tax cuts in order to provide incentives for business investment in recession times. A common motivation is that such policies help relax financing frictions, which might bind more during recessions. We assess whether this mechanism is effective. In an industry equilibrium model where some firms are financially constrained, marginal propensities to invest are high. We consider a transitory corporate tax cut, funded by public debt. By increasing current cash flows, corporate tax cuts are effective at stimulating current investment. On impact, aggregate investment increases by 26 cents per dollar of tax stimulus, and aggregate output by 3.5 cents. The stimulative output effects are long-lived, extending past the period the policy is reversed, leading to a cumulative effect multiplier on output of 7.2 cents. A major factor preventing larger effects is that this policy tends to significantly crowd out investment among the larger, unconstrained firms. Chapter 3 studies the effects of the 1992's U.S. Treasury Department proposal of a Comprehensive Business Income Tax (CBIT) reform. According to the U.S. tax code, dividend and capital gain are taxed at the firm level and further taxed when distributed to shareholders. This double taxation may reduce the overall return on investment and induce inefficient capital allocation. Therefore, tax reforms have been at the center of numerous debates among economists and policymakers. As part of this debate, the U.S. Department of Treasury proposed in 1992 to abolish dividend and capital gain taxes, and to use a Comprehensive Business Income Tax (CBIT) to levy tax on corporate income. In this paper, I use an industry equilibrium model where firms are subject to financing frictions, and idiosyncratic productivity and entry/exit shocks to assess the long run effects of the CBIT. I find that the elimination of the capital gain and dividend taxes is not self financing. More precisely, the corporate profit tax rate should be increased from 34\% to 42\% to keep the reform revenue-neutral. Overall, the results show that the CBIT reform reduces capital accumulation and output by 8\% and 1\%, respectively. However, it improves capital allocation by 20\%, resulting in an increase in aggregate productivity by 1.41\% and in a modest welfare gain.

Cette thèse présente quelques résultats de la théorie des probabilités quantiques et de l’analyse harmonique à valeurs operateurs. La thèse est composée des trois parties.Dans la première partie, on démontre la décomposition atomique des espaces de Hardy de martingales non commutatives. On identifie aussi les interpolés complexes et réels entre les versions conditionnelles des espaces de Hardy et BMO de martingales non commutatives.La seconde partie est consacrée à l’étude des espaces de Hardy à valeurs opérateursvia la méthode d’ondellettes. Cette approche est similaire à celle du cas des martingales non commutatives. On démontre que ces espaces de Hardy sont équivalents à ceux étudiés par Tao Mei. Par conséquent, on donne une base explicite complètement inconditionnelle pour l’espace de Hardy H1(R), muni d’une structure d’espace d’opérateurs naturelle. La troisième partie porte sur l’analyse harmonique sur le tore quantique. On établit les inégalités maximales pour diverses moyennes de sommation des séries de Fourier définies sur le tore quantique et obtient les théorèmes de convergence ponctuelle correspondant. En particulier, on obtient un analogue non commutative du théorème classique de Stein sur les moyennes de Bochner-Riesz. Ensuite, on démontre que les multiplicateurs de Fourier complètement bornés sur le tore quantique coïncident à ceux définis sur le tore classique. Finalement, on présente la théorie des espaces de Hardy et montre que ces espaces possèdent les propriétés des espaces de Hardy usuels. En particulier, on établit la dualité entre H1 et BMO. / This thesis presents some results in quantum probability and operator-valued harmonicanalysis. The main results obtained in the thesis are contained in the following three parts:In first part, we prove the atomic decomposition for the Hardy spaces h1 and H1 of noncommutative martingales. We also establish that interpolation results on the conditionedHardy spaces of noncommutative martingales. The second part is devoted to studying operator-valued Hardy spaces via Meyer’s wavelet method. It turns out that this way of approaching these spaces is parallel to that in the noncommutative martingale case. We also show that these Hardy spaces coincide with those introduced and studied by Tao Mei in [52]. As a consequence, we give an explicit completely unconditional base for Hardy spaces H1(R) equipped with a natural operator space structure. The third part deals with with harmonic analysis on quantum tori. We first establish the maximal inequalities for several means of Fourier series defined on quantum tori and obtain the corresponding pointwise convergence theorems. In particular, we prove the noncommutative analogue of the classical Stein theorem on Bochner-Riesz means. Then we prove that Lp completely bounded Fourier multipliers on quantum tori coincide with those on classical tori with equal cb-norms. Finally, we present the H1-BMO and Littlewood- Paley theories associated with the circular Poisson semigroup over quantum tori.

This master's thesis deals with the valuation of BEZNOSKA, s.r.o. Situated in Kladno, the Czech Republic, this company engages in the development and production of instruments and implants for bone surgery. The company was established on the basis of the "surgery" division of then POLDI Kladno at the beginning of the nineties, during the "big privatisation" period. The aim of this thesis is to estimate the market value and investment value of the company as of 31 December 2009 as defined in the International Valuation Standards. The valuation is carried out using two basic methods. The focus of the work is based on the DCF method the result of which is verified by a method based on the market analysis, in particular the similar public company method. The book value method is only complementary. The thesis is divided into six chapters. Sequenced logically, it contains the basic information on the company valued, financial analysis, strategic analysis, analysis and forecast of the value drivers, financial plan and the valuation itself based on the method mentioned above. These topical units are further divided into several subchapters as necessary. Various analyses and statistical methods needed to successfully meet the set objective are applied throughout the text.

Diese Dissertation umfasst vier Essays, die einen Beitrag zur empirischen Literatur über die Determinanten der Veränderungen in der Beschäftigungs- und Lohnstruktur in Deutschland leisten. Im ersten Aufsatz wird der Zusammenhang zwischen technologischem Wandel und Wachstum von Beschäftigung am unteren Ende der Lohnverteilung untersucht. Eine ökonometrische Analyse zeigt, dass technologischer Wandel die Arbeitsnachfrage von routine-intensiven Berufen hin zu Berufen verschiebt, die niedrig entlohnte manuelle Tätigkeiten erfordern und sich nicht zur Substitution durch Informationstechnologien eignen. Damit trägt er zur Polarisierung der Beschäftigungsstrukturen bei. Der zweite Aufsatz untersucht die Rolle von technologischem Wandel in der Entstehung räumlicher Lohnungleichheiten. Es wird gezeigt, dass technologischer Wandel zu einem Zuwachs in der Entlohnung von nicht-routine kognitiven Tätigkeiten und zu einem Rückgang der Entlohnung für routine und nicht-routine manuelle Tätigkeiten führte und damit zur Vergrößerung der inter- und intra-regionalen Lohnungleichheit beitrug. Der dritte Aufsatz untersucht die Beschäftigungswirkung von Produktmarktderegulierung am Beispiel der Liberalisierung der Ladenschlussgesetze, wobei regionale Variation in der Gesetzgebung zur Identifikation des kausalen Effekts dient. Es wird gezeigt, dass die Beschäftigung im Einzelhandel durch die Deregulierung um etwa 19.000 vollzeitäquivalente Stellen zurückging. Dem zugrunde liegt ein signifikanter Rückgang an kleinen Unternehmen, die personalintensiver arbeiten als große Unternehmen. Im vierten Aufsatz werden die Auswirkungen von öffentlicher Beschäftigung auf die Beschäftigung im Privatsektor untersucht. Ergebnis ist, dass die Schaffung öffentlicher Beschäftigung erhebliche Verdrängungseffekte auf die Gesamtbeschäftigung im Privatsektor hat, wobei hauptsächlich der handelbare Sektor von Beschäftigungsverlusten betroffen ist. / This thesis consists of four essays that contribute to the empirical literature on the determinants of recent changes in the employment and wage structure in Germany. The first essay analyzes recent employment growth at the lower tail of the wage distribution and its relation to technological progress. An econometric analysis suggests that tech-nological progress has shifted the demand from routine intensive occupations towards low-paying service occupations that require non-routine manual tasks, which are difficult to be replaced by information technologies, thereby contributing to the polarization of the employment structure. The second essay explores the role of technological change in the evolution of spatial wage inequality. The results indicate technological change is one driver of wage inequality by increasing the compensation for non-routine cognitive tasks, and by decreasing the compensation for routine and non-routine manual tasks. The third essay exploits regional variation in the liberalization of shop-closing legislation in Germany to identify the causal impact of product market deregulation on employment outcomes in the retail sector. The results from the empirical analysis suggest that the deregulation had moderately negative effects on retail employment, leading to a loss of approximately 19,000 full-time equivalent jobs. The reason is that deregulation induced a change in the market structure by significantly decreasing the number of small retail stores which are relatively more personnel-intensive than larger formats. The fourth essay provides an empirical analysis of the impact of changes in public sector employment on employment in the private sector at the level of local labor markets. It shows that expansions in public employment can be associated with a sizeable crowding out effect on private sector employment. Moreover, the results indicate that employment losses are concentrated in the tradable sector.

Le problème principalement étudié dans ce manuscrit est la stabilisation d’orbites périodiques de systèmes dynamiques non linéaires à l’aide d’une commande de rétroaction (feedback). Le but des méthodes de contrôle proposées ici est d’obtenir une oscillation périodique stable. Ces méthodes de contrôle sont appliquées à des systèmes présentant des orbites périodiques instables dans l’espace d’état, et ces dernières sont les orbites destinées à être stabilisées.Les méthodes proposées ici sont telles que l’oscillation stable qui en résulte est obtenue avec un effort de contrôle faible, et que la valeur de la commande tend vers zéro lorsque la trajectoire tend vers l’orbite stabilisée. La stabilité locale des orbites périodiques est analysée par l’étude de la stabilité des systèmes linéaires périodiques à l’aide de la théorie de Floquet. Ces systèmes linéaires sont obtenus par linéarisation des trajectoires au voisinage de l’orbite périodique.Les méthodes de contrôle utilisées ici pour la stabilisation des orbites périodiques sont une loi de commande proportionnelle, une loi de commande de rétroaction retardée et une loi de commande de rétroaction basée sur une prédiction. Ces méthodes sont appliquées aux systèmes en temps discret et aux systèmes en temps continu avec les modifications nécessaires. Les contributions principales de cette thèse sont associées à ces méthodes, proposant une méthode alternative de design de gain, une nouvelle loi de commande et des résultats associés. / The main problem evaluated in this manuscript is the stabilization of periodic orbits of non-linear dynamical systems by use of feedback control. The goal of the control methods proposed in this work is to achieve a stable periodic oscillation. These control methods are applied to systems that present unstable periodic orbits in the state space, and the latter are the orbits to be stabilized.The methods proposed here are such that the resulting stable oscillation is obtained with low control effort, and the control signal is designed to converge to zero when the trajectory tends to the stabilized orbit. Local stability of the periodic orbits is analyzed by studying the stability of some linear time-periodic systems, using the Floquet stability theory. These linear systems are obtained by linearizing the trajectories in the vicinity of the periodic orbits.The control methods used for stabilization of periodic orbits here are the proportional feedback control, the delayed feedback control and the prediction-based feedback control. These methods are applied to discrete and continuous-time systems with the necessary modifications. The main contributions of the thesis are related to these methods, proposing an alternative control gain design, a new control law and related results. / O principal problema avaliado neste manuscrito é a estabilização de órbitas periódicas em sistemas dinâmicos não-lineares utilizando controle por realimentação. O objetivo dos métodos de controle propostos neste trabalho é obter uma oscilação periódica estável. Estes métodos de controle são aplicados a sistemas que apresentam órbitas periódicas instáveis no espaço de estados, estas são as órbitas a serem estabilizadas.Os métodos propostos aqui são tais que a oscilação periódica estável resultante é obtida utilizando um baixo esforço de controle, e o sinal de controle é projetado de forma a convergir para zero quanto a trajetória tende à órbita estabilizada. A estabilidade local de órbitas periódicas é analisada através do estudo da estabilidade de alguns sistemas lineares periódicos no tempo, utilizando a teoria de estabilidade de Floquet. Estes sistemas lineares são obtidos por linearização das trajetórias na vizinhança da órbita periódica.Os métodos de controle utilizados aqui para estabilização de órbitas periódicas são o proportional feedback control, o delayed feedback control e o prediction-based feedback control (controle por realimentação baseado em predição). Estes métodos são aplicados a sistemas de tempo discreto e de tempo contínuo, com as modificações necessárias. As principais contribuições da tese são relacionadas a esses métodos, propondo um projeto de ganho de controle alternativo, uma nova lei de controle e resultados relacionados.

本文希望藉著K.T Arasu, D.Jungnickel, A.Pott推廣Wilbrink定理的方法去尋找Wilbrink等式的推廣式在p^k∥n,k≧4的推廣式和其應用。 / In this thesis we formulate and provide rigorous proofs of Wilbrink's theorem and it's variations due to Arasu, A.Pott and D.Jungnickel. some questions on further generalizations of Wilbrink's theorem are discussed; known generalization are study in A.Pott's dissertation.

<p>A time-discrete formulation of the variational principle of mechanics is used to provide a consistent theoretical framework for the construction and analysis of low order integration methods. These are applied to mechanical systems subject to mixed constraints and dry frictional contacts and impacts---machines. The framework includes physics motivated constraint regularization and stabilization schemes. This is done by adding potential energy and Rayleigh dissipation terms in the Lagrangian formulation used throughout. These terms explicitly depend on the value of the Lagrange multipliers enforcing constraints. Having finite energy, the multipliers are thus massless ghost particles. The main numerical stepping method produced with the framework is called SPOOK.</p><p>Variational integrators preserve physical invariants globally, exactly in some cases, approximately but within fixed global bounds for others. This allows to product realistic physical trajectories even with the low order methods. These are needed in the solution of nonsmooth problems such as dry frictional contacts and in addition, they are computationally inexpensive. The combination of strong stability, low order, and the global preservation of invariants allows for large integration time steps, but without loosing accuracy on the important and visible physical quantities. SPOOK is thus well-suited for interactive simulations, such as those commonly used in virtual environment applications, because it is fast, stable, and faithful to the physics.</p><p>New results include a stable discretization of highly oscillatory terms of constraint regularization; a linearly stable constraint stabilization scheme based on ghost potential and Rayleigh dissipation terms; a single-step, strictly dissipative, approximate impact model; a quasi-linear complementarity formulation of dry friction that is isotropic and solvable for any nonnegative value of friction coefficients; an analysis of a splitting scheme to solve frictional contact complementarity problems; a stable, quaternion-based rigid body stepping scheme and a stable linear approximation thereof. SPOOK includes all these elements. It is linearly implicit and linearly stable, it requires the solution of either one linear system of equations of one mixed linear complementarity problem per regular time step, and two of the same when an impact condition is detected. The changes in energy caused by constraints, impacts, and dry friction, are all shown to be strictly dissipative in comparison with the free system. Since all regularization and stabilization parameters are introduced in the physics, they map directly onto physical properties and thus allow modeling of a variety of phenomena, such as constraint compliance, for instance.</p><p>Tutorial material is included for continuous and discrete-time analytic mechanics, quaternion algebra, complementarity problems, rigid body dynamics, constraint kinematics, and special topics in numerical linear algebra needed in the solution of the stepping equations of SPOOK.</p><p>The qualitative and quantitative aspects of SPOOK are demonstrated by comparison with a variety of standard techniques on well known test cases which are analyzed in details. SPOOK compares favorably for all these examples. In particular, it handles ill-posed and degenerate problems seamlessly and systematically. An implementation suitable for large scale performance and accuracy testing is left for future work.</p>

A time-discrete formulation of the variational principle of mechanics is used to provide a consistent theoretical framework for the construction and analysis of low order integration methods. These are applied to mechanical systems subject to mixed constraints and dry frictional contacts and impacts---machines. The framework includes physics motivated constraint regularization and stabilization schemes. This is done by adding potential energy and Rayleigh dissipation terms in the Lagrangian formulation used throughout. These terms explicitly depend on the value of the Lagrange multipliers enforcing constraints. Having finite energy, the multipliers are thus massless ghost particles. The main numerical stepping method produced with the framework is called SPOOK. Variational integrators preserve physical invariants globally, exactly in some cases, approximately but within fixed global bounds for others. This allows to product realistic physical trajectories even with the low order methods. These are needed in the solution of nonsmooth problems such as dry frictional contacts and in addition, they are computationally inexpensive. The combination of strong stability, low order, and the global preservation of invariants allows for large integration time steps, but without loosing accuracy on the important and visible physical quantities. SPOOK is thus well-suited for interactive simulations, such as those commonly used in virtual environment applications, because it is fast, stable, and faithful to the physics. New results include a stable discretization of highly oscillatory terms of constraint regularization; a linearly stable constraint stabilization scheme based on ghost potential and Rayleigh dissipation terms; a single-step, strictly dissipative, approximate impact model; a quasi-linear complementarity formulation of dry friction that is isotropic and solvable for any nonnegative value of friction coefficients; an analysis of a splitting scheme to solve frictional contact complementarity problems; a stable, quaternion-based rigid body stepping scheme and a stable linear approximation thereof. SPOOK includes all these elements. It is linearly implicit and linearly stable, it requires the solution of either one linear system of equations of one mixed linear complementarity problem per regular time step, and two of the same when an impact condition is detected. The changes in energy caused by constraints, impacts, and dry friction, are all shown to be strictly dissipative in comparison with the free system. Since all regularization and stabilization parameters are introduced in the physics, they map directly onto physical properties and thus allow modeling of a variety of phenomena, such as constraint compliance, for instance. Tutorial material is included for continuous and discrete-time analytic mechanics, quaternion algebra, complementarity problems, rigid body dynamics, constraint kinematics, and special topics in numerical linear algebra needed in the solution of the stepping equations of SPOOK. The qualitative and quantitative aspects of SPOOK are demonstrated by comparison with a variety of standard techniques on well known test cases which are analyzed in details. SPOOK compares favorably for all these examples. In particular, it handles ill-posed and degenerate problems seamlessly and systematically. An implementation suitable for large scale performance and accuracy testing is left for future work.

Η παρούσα διδακτορική διατριβή εστιάζεται στον χώρο των Φ/Β πλαισίων εναλλασσομένου ρεύματος (AC-PV Modules) με μετατροπείς δύο βαθμίδων, και πιο συγκεκριμένα σε μετατροπείς Σ.Τ. – Σ.Τ με τους οποίους επιτυγχάνεται ανύψωση της τάσης και μπορούν να αποτελέσουν την πρώτη από τις δύο βαθμίδες. Τρεις είναι οι κύριοι στόχοι: A)Η εύρεση της καταλληλότερης επιλογής για την πρώτη βαθμίδα της διάταξης σύνδεσης ενός Φ/Β πλαισίου στο μονοφασικό δίκτυο χαμηλής τάσης. B)Ο βέλτιστος σχεδιασμός και η επιλογή του κατάλληλου Πολλαπλασιαστή Τάσης. C)Ο βέλτιστος σχεδιασμός της μονάδας ανύψωσης τάσης, η οποία αποτελεί την πρώτη βαθμίδα, μιας διάταξης δύο βαθμίδων, για τη σύνδεση Φ/Β πλαισίου με το δίκτυο χαμηλής τάσης. Η μελέτη των τυπικών επιπέδων τάσης που εμφανίζονται σε διατάξεις διασύνδεσης δύο βαθμίδων απέδειξε την ανάγκη σχεδιασμού μετατροπέων Σ.Τ.-Σ.Τ. με υψηλά κέρδη τάσης, τα οποία δεν μπορούν να προσφέρουν οι κλασσικοί μετατροπείς. Το γεγονός αυτό αποτέλεσε το έναυσμα για τη διερεύνηση της λειτουργικής συμπεριφοράς των Πολλαπλασιαστών Τάσης και εστιάσθηκε στην εξαγωγή νέων απλών και ακριβέστερων μαθηματικών σχέσεων για τη λειτουργία τους, στον ορισμό και την υλοποίηση του βέλτιστου σχεδιασμού και τέλος στη βέλτιστη επιλογή των στοιχείων του κυκλώματος. Για τον καλύτερο δυνατό σχεδιασμό του ανυψωτή τάσης διεξάγεται τεκμηριωμένη σύγκριση μεταξύ διαφόρων δημοφιλών τοπολογιών Πολλαπλασιαστών Τάσης, καθώς και της μορφής της τάσης που θα τον τροφοδοτεί. Η εκτεταμένη έρευνα καταλήγει στην εφαρμογή θετικής παλμικής τάσης εισόδου, με τη χρήση μιας παραλλαγής του μετατροπέα Boost (Mod Boost), ενώ επικρατέστερος Πολλαπλασιαστής Τάσης είναι μία παραλλαγή του Half-Wave Cockcroft-Walton με πυκνωτή εξομάλυνσης (Modified Half-Wave Cockcroft-Walton with Smoothing Capacitor). Στα πλαίσια της διδακτορικής διατριβής προτείνεται επιπλέον ένας νέος επαναληπτικός αλγόριθμος, ο οποίος συνδυάζει επιτυχώς θεωρητικές εξισώσεις και προσομοίωση, έχοντας ως στόχο το βέλτιστο σχεδιασμό του σύνθετου ανυψωτή τάσης, ο οποίος ονομάστηκε “Mod Boost – Mod H-W C-W SC VM” και συνίσταται από τον τροποποιημένο μετατροπέα Boost και τον προαναφερθέντα Πολλαπλασιαστή Τάσης. Τα συμπεράσματα και τα θεωρητικά αποτελέσματα της παρούσας διδακτορικής διατριβής επιβεβαιώνονται μέσω της προσομοίωσης και της σύγκρισης με κατάλληλα εργαστηριακά πρωτότυπα. / The current PhD thesis focuses on the field of AC PV Modules using Dual-Steps Inverters and more specifically on DC-DC Converters that are voltage boosters and can act as the first one of the two stages of the inverter. Three goals are accomplished in this work: A)The optimum choice of the topology for the first stage of a dual steps inverter of an AC-PV Module connected to the single-phase low voltage utility grid. B)The optimum choice and design of the Voltage Multiplier. C)The optimum design of the first stage of a dual steps inverter of an AC-PV Module. The analysis of the typical voltage levels at the dual steps topologies turns the research interest to DC-DC Converters with voltage gain (more than 20) higher than what is typical for the classical topologies. Based on that, a theoretical analysis is held on Voltage Multipliers according to which the crucial magnitudes are highlighted and new, simple and accurate formulas are extracted, which describe the operation of the voltage multipliers. Moreover theoretical supported choices about the capacitances in every stage are suggested, an optimum design is determined and for its implementation new accurate easy-to-use formulas are extracted. For an optimal design of the voltage booster, well established comparisons are made between popular types of voltage Multipliers and voltage triggering sources. The intensive research leads to the use of a positive voltage pulsing source that is generated by a modified Boost converter (Mod Boost Converter). Moreover a modified Half-Wave Cockcroft-Walton with Smoothing Capacitor VM is set as the best choice among the studied Voltage Multipliers. Furthermore, a novel iterative optimum design algorithm is introduced, which uses both the theoretical equations of a VM optimum design and a simulation software, so as to make feasible an optimum design of the novel DC-DC Converter. The new converter, named Mod Boost – Mod H-W C-W SC VM, results from the series connection of the modified converters Boost and Half Wave Cockcroft Walton with Smoothing Capacitor VM. Finally, the conclusions and the theoretical analysis of this work are validated by PSPICE simulations and experimental results, extracted by measurements on laboratory prototypes.