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This work utilizes the small-signal impedance-based stability analysis method to develop stability assessment criteria for a single-aisle turboelectric aircraft with aft boundary-layer propulsion (STARC-ABL) system. The impedance-based stability analysis method outperforms other stability analysis methods because it does not require detailed information of individual components for system integration, therefore, a system integrator can just require the vendors to make the individual components meet the impedance specifications to ensure whole system stability. This thesis presents models of a generator, motor, housekeeping loads, and battery all with power electronics interface which form an onboard electrical system and analyzes the relationship between the impedance shape of each component and their physical design and control loop design. Based on the developed small-signal model of the turbine-generator-rectifier subsystem and load subsystem, this thesis analyzes the impact of electromechanical dynamics of the turbofan passed through the generator on the dc distribution system, concluding that the rectifier can mitigate the impact. Finally, to ensure the studied system stable operation during the whole flying profile, the thesis provides impedance specifications of the dc distribution system and verifies the specifications with several cases in time-domain simulations. / M.S. / Electric aircraft propulsion (EAP) technologies have been a trend in the aviation industry for their potential to reduce environmental emissions, increase fuel efficiency and reduce noise for commercial airplanes. Achieving these benefits would be a vital step towards environmental sustainability. However, the development of all-electric aircraft is still limited by the current battery technologies and maintenance systems. The single-aisle turboelectric aircraft with aft boundary-layer (STARC-ABL) propulsion concept is therefore developed by NASA aiming to bridge the gap between the current jet fuel-powered aircraft and future all-electric vehicles. The plane uses electric motors powered by onboard gas turbines and transfers the generated power to other locations of the airplane like the tail fan motor to provide distributed propulsion. Power electronics-based converter converts electricity in one form of electricity to another form, for example, from ac voltage to dc voltage. This conversion of power is very important in the whole society, from small onboard chips to Mega Watts level electrical power system. In the aircraft electrical power system context, power electronics converter plays an important role in the power transfer process especially with the recent trend of using high voltage dc (HVDC) distribution instead of conventional ac distribution for the advantage of increased efficiency and better voltage regulation. The power generated by the electric motors is in ac form. Power electronics converter is used to convert the ac power into dc power and transfer it to the dc bus. Because the power to drive the electric motor to provide distributed propulsion is also in ac form, the dc power needs to be converted back into ac power still through a power electronics converter. With a high penetration of power electronics into the onboard electrical power system and the increase of electrical power level, potential stability issues resulted from the interactions of each subsystem need to be paid attention to. There are mainly two stability-related studies conducted in this work. One is the potential cross-domain dynamic interaction between the mechanical system and the electrical system. The other is a design-oriented study to provide sufficient stability margin in the design process to ensure the electrical system’s stable operation during the whole flying profile. The methodology used in this thesis is the impedance-based stability analysis. The main analyzing process is to find an interface of interest first, then grouped each subsystem into a source subsystem and load subsystem, then extract the source impedance and load impedance respectively, and eventually using the Nyquist Criterion (or in bode plot form) to assess the stability with the impedance modeling results. The two stability-related issues mentioned above are then studied by performing impedance analysis of the system. For the electromechanical dynamics interaction study, this thesis mainly studies the rotor dynamics’ impact on the output impedance of the turbine-generator-rectifier system to assess the mechanical dynamics’ impact on the stability condition of the electrical system. It is found that the rotor dynamics of the turbine is masked by the rectifier; therefore, it does not cause stability problem to the pre-tuned system. For the design-oriented study, this thesis mainly explores and provides the impedance shaping guidelines of each subsystem to ensure the whole system's stable operation. It is found that the stability boundary case is at rated power level, the generator voltage loop bandwidth is expected to be higher than 300Hz, 60˚ to achieve a 6dB, 45˚ stability margin, and load impedance mainly depends on the motor-converter impedance.

Alternative energy resources (such as photovoltaics, fuel cells, wind turbines, micro-turbines, and internal combustion engines) and energy storage systems (such as batteries, supercapacitors, and flywheels) are increasingly being connected to the utility grid, creating distributed energy resources which require the implementation of an effective distributed power management strategy. Parallel-connected power converters form a critical component in such a distributed energy resources system. This dissertation addresses small-signal modeling and analysis of parallel-connected power converter systems operating in distributed energy environments. This work focuses on DC-DC and DC-AC power converters. First, this work addresses the small-signal modeling and analysis of parallel-connected power converters in a battery/supercapacitor hybrid energy storage system. The small-signal model considers variations in the current of individual energy storage devices and the DC bus voltage as state variables, variations in the power converter duty cycles as control variables, and variations in the battery and the supercapacitor voltages and the load current as external disturbances. This dissertation proposes several different control strategies and studies the effects of variations in controller and filter parameters on system performance. Simulation studies were carried out using the Virtual Test Bed (VTB) platform under various load conditions to verify the proposed control strategies and their effect on the final states of the energy storage devices. Control strategies for single DC-AC three-phase power converters are also identified and investigated. These include a novel PV (active power and voltage) control with frequency droop control loop, PQ (active power and reactive power) control, voltage control, PQ control with frequency droop control, and PQ control with voltage and frequency droop control. Small-signal models of a three-phase power converter system with these control strategies were developed, and the impact of parameter variations on the stability of a PV controlled converter were studied. Moreover, a small-signal model of parallel-connected three-phase DC-AC power converters with individual DC power supplies and network is proposed. The simulations carried out in stand-alone and grid-connected modes verify the combined control strategies that were developed. In addition, a detailed small-signal mathematical model that can represent the zero-sequence current dynamics in parallel-connected three-phase DC-AC power converters that share a single DC power source is presented. The effects of a variety of factors on the zero-sequence current are investigated, and a control strategy to minimize the zero-sequence current is proposed. Time-domain simulation studies verify the results. Simulations of a parallel-connected DC-AC power converter system with nonlinear load were carried out. The active power filter implemented in this system provides sharing of harmonic load between each power converter, and reduces harmonic distortion at the nonlinear load by harmonic compensation.

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / Piezoelectric transformers (PTs) allow the design of promising power supply applications, increasing efficiency, reducing size, facilitating the achievement of high transformation ratio, besides providing high immunity against electromagnetic noise. Due to the electrical equivalent model having resonant characteristics, some resonant topologies are naturally suitable for these power supplies, i.e. the Class- E, Half-Bridge, Full-Bridge and Push-pull. Among these topologies, the Class-E converter has a highlight of having one controlled switch. The static gain of the Class-E is changed through the switching frequency variation, while the duty cycle is adjusted with the purpose of achieving soft switching for different switching frequencies and loads. The analisys of this process becomes complex when the system has a high number of reactive elements. One way to simplify this analisys is applying a normalized methodology. On this regard, the first result of this work is the normalized analisys of the functionally of the Class-E converter, including normalized load and switching frequency variation. This allows choosing one optimum point for the static design, without the necessity of design parameters. The main objective of this analisys is the obtention of the duty cycle behavior in order to have soft switching for all operation points. In a second moment, a small-signal model was derived using the generalized averaging method, through Fourier series aproximation. The model describes the relevant poles and zeros of the system, being accurate enough for different loads and switching frequencies. The behavior of resonant converters changes considerably for different operating points; therefore it is important to have a model that represents the system well. The normalized analisys allowed simplifying the small-signal model derivation, once soft switching is achieved for all the operation points. Experimental measurements validate either the normalized or the small signal derivation methodologies. The measurements were achieved for a 3W step-down converter, with universal 85-265 V AC input and 6 V DC output. / Os Transformadores Piezoelétricos (PTs) permitem o projeto de aplicações promissoras para fontes de alimentação até 100W, melhorando a eficiência, reduzindo o tamanho, facilitando a obtenção de grandes relações de transformação, além de proporcionar alta imunidade contra ruídos eletromagnéticos e interferências. Os PTs apresentam modelo elétrico ressonante, trazendo a necessidade de implementação juntamente com topologias de conversores ressonantes, como por exemplo os conversores: Classe-E, Meia Ponte, Ponte Completa e Push-pull. Dentre estas topologias, o conversor Classe-E se destaca por apresentar somente um interruptor controlado. O ganho estático do conversor Classe-E é obtido através da variação da freqüência de chaveamento, e a razão cíclica muda para atender as condições de comutação suave para diferentes freqüências e cargas. A análise deste processo se torna complexa à medida que o sistema apresenta inúmeros elementos reativos. Uma maneira de simplificar esta análise é utilizar uma metodologia normalizada. Devido a isso, o primeiro resultado deste trabalho é a análise normalizada do funcionamento do conversor piezoelétrico Classe- E, incluindo variação normalizada da frequênciade operação e da carga. Isso permite escolher um ponto ótimo de projeto estático, sem a necessidade de parâmetros de projeto. O objetivo principal desta análise normalizada é a obtenção do comportamento da razão cíclica para obter comutação suave em todos os pontos de operação. Em um segundo momento, um modelo de pequenos sinais foi derivado utilizando a metodologia do modelo médio generalizado, através de aproximação por series de Fourier. O modelo descreve os pólos e zeros relevantes do sistema, sendo suficientemente preciso para diferentes cargas e da frequencias de operação. O comportamento de conversores ressonantes varia consideravelmente para diferentes pontos de operação, pois isso um modelo que permita avaliar estes pontos de maneira precisa se faz importante. A análise normalizada permitiu simplificar a derivação do modelo de pequenos sinais, uma vez que garante a operação em comutação suave. Para validar a metodologia apresentada, são mostrados resultados experimentais para um conversor abaixador de 3W, entrada universal de 85-260 V AC e saída de 6 V DC.