The electrification of transportation is gradually becoming more prominent as it is more efficient and sustainable than conventional transportation alternatives found today. At the centre of this growth is battery testing and research, as they are the primary energy storage devices used to power electric vehicles. With the growing complexity of battery systems, testing and monitoring their performance relies on highly specialized and precise equipment. Furthermore, the use of battery models helps researchers improve their research while reducing the time and costs involved in testing. As such, accurate battery modelling is a critical component in predicting how a battery will behave in specific applications and under various conditions. In this research, a lithium-ion cell is tested extensively, and its performance is characterized across a wide range of operating conditions including temperature, current rates and state of charge (SOC) values. An equivalent circuit model for impedance modelling is proposed, which utilizes constant phase elements represented in the time domain to improve fitting accuracy. This is done concurrently with the development of a state of the art, fully automated battery test system which is showcased throughout the course of the research. In addition to this, an analysis is conducted on the low frequency impedance data used during research, as well as its effect on model accuracy. To provide significance behind the results and relevance to real-world applications, all of the impedance modelling is experimentally validated using temporal drive cycle data. This research was able to demonstrate that the use of a ZARC element can improve the mid-frequency fitting of impedance data relative to a conventionally used modelling approach. It also showcases how the use of low frequency electrochemical impedance spectroscopy (EIS) data can negatively impact the accuracy of impedance modelling. / Thesis / Master of Applied Science (MASc)

Nanoelectromechanical systems (NEMS) play an important role in advancing high-precision sensing and high-speed computational applications due to their exceptional sensitivity and reduced size. This thesis explores the dynamic behaviors and vibrational properties of NEMS, focusing on coupled systems of molybdenum disulfide (MoS2) membrane and silicon nitride (SiNx) drumhead, and the effects of gas pressure on an MoS2 membrane resonator. Employing finite element simulations alongside theoretical modeling, the study thoroughly analyzes the coupling dynamics between MoS2 and SiNx resonators and investigates the vibrational responses of MoS2 membranes under pressure. Key achievements include the identification of vibrational modes, calculation of coupling constants, and comprehensive understanding of pressurized MoS2 membrane resonator behavior. These insights pave the way for enhancing NEMS applications in sensitive detection and resonant frequency modulation, significantly contributing to the field of nanotechnology and the development of advanced NEMS devices.

The data center serves as the hardware foundation for artificial intelligence (AI) and cloud computing, constituting a global market that has surpassed $200 billion and is experiencing rapid growth. It is estimated that data centers contribute to 1.7-2.2% of the world's electricity generation. Conversely, up to 80% of the long-term operational expenditure of data centers is allocated to electricity consumption. Consequently, enhancing the efficiency of electric energy conversion in data centers is not only economically advantageous but also crucial for achieving carbon-neutral objectives. Through collaborative efforts between the industrial and academic sectors, substantial advancements have been achieved in the energy conversion efficiency of data centers. Most converters within the data center power architecture now boast efficiencies exceeding 99%. However, the bottleneck for further improvements in system efficiency lies in the voltage regulator modules (VRMs), which grapple with challenges such as high conversion ratios, elevated output currents, and substantial load transients. These challenges are particularly pronounced for AI processors and graphics processing units (GPUs), given their heightened power demands compared to conventional central processing units (CPUs). To enhance system efficiency, a revolutionary shift in power architecture has been introduced, advocating for the adoption of a 48 V data center power architecture to replace the conventional 12 V architecture. The higher 48 V bus voltage significantly reduces distribution loss on the bus. However, the primary challenge lies in managing high step-down voltage conversion while maintaining high efficiency. Additionally, high-performance microprocessors, including CPUs, GPUs, application-specific integrated circuits (ASICs), and field-programmable gate arrays (FPGAs), require hundreds of amperes of current at low voltage levels (e.g., GPUs need >220 A at <1.85 V, CPUs need >1000 A at <1.0 V). An unavoidable consequence of upscaling processor current and size is the substantial resistive loss in VRMs. This is because such loss scales with the square of the current [I2R], and the power path area (and resistance R) expands with the processor size. The Power Delivery Network (PDN) resistance in the "last inch" of the power delivery path is becoming a limiting factor in processor performance and system efficiency. The key to reducing the I2R loss is minimizing the distance between the VRMs and processors by utilizing ultra-high power density VRMs. Furthermore, the design of Voltage Regulator Modules (VRMs) for high-performance microprocessors encounters additional formidable challenges, especially when dealing with the requirements of contemporary computing architectures. The key hurdles encompass achieving high efficiency, handling low output voltage, accommodating wide voltage ranges, managing elevated output currents, and addressing significant load transients. These challenges prompt both academia and industry to explore novel topologies, innovative magnetic integration methods, and advanced control strategies. The prevailing trend in state-of-the-art 48V solutions centers around the adoption of two-stage configurations, wherein the second stage can leverage conventional 12V solutions. However, this approach imposes limitations on power density and efficiency, given that power traverses two cascaded DC/DC converters. Additionally, the footprint of decoupling capacitors and I2R loss on the intermedia bus between the two stages is emerging as a noteworthy consideration in designs. In response to these challenges, a novel proposition introduces a single-stage 48V coupled-transformer voltage regulator (CTVR) tailored for high-performance microprocessors. This innovative design aims to deliver ultra-high power density and superior efficiency. The converter employs a unique magnetic structure that integrates transformers and coupled inductors from multiple current-doubler rectifiers. Significantly, by utilizing the magnetizing inductors of transformers as output inductors, there is a substantial reduction in the size of magnetic components. Various implementations are explored, each addressing specific design objectives. Initially, a single-stage coupled-transformer voltage regulator (CTVR) with discrete magnetics is presented, offering a 48V solution while maintaining a comparable size and cost to a state-of-the-art 12V multiphase buck regulator. Leveraging the indirect-coupling concept, magnetic components are standardized, enabling scalability and facilitating multiphase operation. A prototype is constructed and tested to validate the CTVR's performance. With a 48V input and 1.8V output, the peak efficiency registers at 92.1%, and the power area density is 0.45 W/mm2. However, voltage ringing is observed in both primary and secondary switches due to a larger leakage inductance and hard-switching operation. Subsequently, a transition to soft-switching operation is implemented to address the voltage ringing issue. The leakage inductance is intentionally designed to supply energy for zero-voltage switching (ZVS) of primary switches, turning the previously perceived drawback into an opportunity for efficiency improvement. As a result, testing demonstrates a peak efficiency increase of more than 1%, reaching 93.6%. Furthermore, efforts are made to enhance small leakage inductance by employing well-interleaved printed circuit board (PCB) windings. Following a series of design optimizations, the prototype achieves a peak efficiency of 93.1% and a remarkable power density of 1037 W/in3, accounting for gate driver loss and size. Despite an increase in cost associated with PCB windings, this proposed solution attains the highest power density and stands as the pioneering 48V single-stage design surpassing 1000 W/in3 power density. When prioritizing efficiency in the design, the quasi-parallel Sigma converter emerges as another optimal choices for a 48V solution. However, the intricate and distinctive quasi-parallel structure of the Sigma converter necessitates a thorough examination of its control mechanism, particularly in light of the rapid load transient response requirements. To address this, an adaptive voltage positioning (AVP) design for the Sigma converter is introduced, employing enhanced V2 control. Guidelines and limitations are provided to stabilize the converter and enhance its overall performance. Ultimately, the AVP function and load transient performance are substantiated through simulation and experimental results. / Doctor of Philosophy / Data center is the hardware foundation of artificial intelligence (AI) and cloud computing. The global data center market has exceeded $200 billion and is fast growing. It is estimated that data center accounts for 1.7~2.2% of the world's electricity generation. On the other hand, up to 80% of the long-term operation expenditure of data centers is electricity. Thus, improving the efficiency of electric energy conversion in data centers is economically beneficial and critical to reaching the carbon neutral goal. The bottleneck for further improvements in system efficiency lies in the voltage regulator modules (VRMs), which grapple with challenges such as high conversion ratios, elevated output currents, and substantial load transients. These challenges are particularly pronounced for AI processors and graphics processing units (GPUs). In response to these challenges, a novel proposition introduces a single-stage 48V coupled-transformer voltage regulator (CTVR) tailored for high-performance microprocessors. This innovative design aims to deliver ultra-high power density and superior efficiency. The converter employs a unique magnetic structure that integrates transformers and coupled inductors from multiple current-doubler rectifiers. Significantly, by utilizing the magnetizing inductors of transformers as output inductors, there is a substantial reduction in the size of magnetic components. Various implementations are explored, each addressing specific design objectives. When prioritizing efficiency in the design, the quasi-parallel Sigma converter emerges as another optimal choices for a 48V solution. However, the intricate and distinctive quasi-parallel structure of the Sigma converter necessitates a thorough examination of its control mechanism, particularly in light of the rapid load transient response requirements. To address this, an adaptive voltage positioning (AVP) design for the Sigma converter is introduced, employing enhanced V2 control. Guidelines and limitations are provided to stabilize the converter and enhance its overall performance. Ultimately, the AVP function and load transient performance are substantiated through simulation and experimental results.

A flotation model has been proposed that is applicable in a turbulent environment. It is the first turbulent model that takes into account hydrodynamics of the flotation cell as well as all relevant surface forces (van der Waals, electrostatic, and hydrophobic) by use of the Extended DLVO theory. The model includes probabilities for attachment, detachment, and froth recovery as well as a collision frequency. A review of the effects fluids have on the flotation process has also been given. This includes collision frequencies, attachment and detachment energies, and how the energies of the turbulent system relate to them. Flotation experiments have been conducted to verify this model. Model predictions were comparable to experimental results with similar trends. Simulations were also run that show trends and values seen in industrial flotation systems. These simulations show the many uses of the model and how it can benefit the industries that use flotation. / Ph. D.

The importance of moisture in concrete is unquestionable. However, quantifying the moisture in concrete is very difficult as concrete microstructure water interactions are not well understood. Concrete is a very complex material spanning the range from the atom to the civil infrastructure. It is the medium that controls moisture at the FRP/concrete interface. Concrete is also a composite material at the level of concrete/rebar, aggregate/sand/cement paste and at the hydration product level. Water is vital in concrete microstructure development, properties and concrete durability. A moisture sensor based on the dielectric and resistive properties of cement paste was developed. Impedance spectroscopy techniques are used to explore the moisture behavior in relation to dielectric and resistive properties of the sensors. The sensor capacitive response is frequency dependent and it has been described with a multi-linear curve. Resistance values are related to capacitance through a power Law. Both the capacitance/moisture and capacitance/resistance behaviors were observed in all four cement/sand/aggregate mixtures considered. Although the dielectric constants of water and dry cement paste are not frequency dependent with in the 400 kHz and 10 MHz frequencies considered, the effective dielectric constant of the mixture is frequency dependent Mixing rules cannot predict the effective dielectric constant of the dielectric medium used in the sensors. Impedance analysis indicated also multiple time constants exist within the cement paste. Using the observation from the experimental results in conjunction to the high conductivity of cement pore solution a random R-C network model was developed to explore the impedance behavior of cement paste. / Ph. D.

Advanced nuclear and electron magnetic resonance techniques (i.e. nuclear magnetic resonance (NMR), dynamic nuclear polarization (DNP), and magnetic resonance imaging (MRI)) were used to study the attitude and dynamics of TEMPO (2,2,6,6-tetramethylpiperidinyloxy)-substrate systems and the relaxivity properties of water-soluble trimetallic nitride template functionalized endohedral metallofullerenes (TNT-fMF). The attitude and average distance of interaction for each TEMPO-substrate system was determined from comparing density functional theory (DFT) calculation results with experimental hyperfine coupling constants leading to an improved understanding of solution dynamics. The short-lived solvent-solute interactions of the TEMPO-substrate molecules, such as transient complex formation, are governed by weak hydrogen-bonding interactions. The collisions in solution were explained by determining the favored orientations of the two molecules interacting using calculated relative energy minima and reproducibility of the experimental results by the calculated coupling constants. Water-soluble TNT-fMFs are studied as candidates for the next generation MRI contrast agents as diagnostic agents and also as possible therapeutic agents to kill cancer cells and decrease tumors. The TNT-fMFs are being studied as part of a multi-modal platform dependent upon which metal atoms are encapsulated inside: Gd — MRI contrast agent (diagnostic), Lu and Ho — radio labeled for use as a therapeutic agent, Tb – fluorescence, and Lu – x-ray contrast. The current commercial MRI contrast agent, OmniscanTM, contains one gadolinium atom; however, the metal is complexed to, not encapsulated in, the molecule. TNT-fMFs fully encapsulate three metal atoms to ensure the patient does not run the risk of metal poisoning. The r1 and r2 relaxivities of TNT-fMFs containing either Gd, Lu, Ho, or Sc metals were measured at 0.35T. The data for the Gd containing TNT-fMFs indicated the metallofullerene has significantly higher relaxivities than OmniscanTM, and can be the next generation MRI contrast agent. The Ho containing species has a high r2/r1 ratio compared to the other samples showing it is a potential T2 agent, and has therapeutic capabilities. / Ph. D.

According to a 1999 Federal Highway Administration statistic, the U.S. has around 8.2 million lane-miles of roadways that need to be maintained and rehabilitated periodically. Therefore, in order to reduce rehabilitation costs, pavement engineers need to optimize the rehabilitation procedure, which is achieved by accurately knowing the existing pavement layer thicknesses and localization of subsurface defects. Currently, the majority of departments of transportation (DOTs) rely on coring as a means to estimate pavement thicknesses, instead of using other nondestructive techniques, such as Ground Penetrating Radar (GPR). The use of GPR as a nondestructive pavement assessment tool is limited mainly due to the difficulty of GPR data interpretation, which requires experienced operators. Therefore, GPR results are usually subjective and inaccurate. Moreover, GPR data interpretation is very time-consuming because of the huge amount of data collected during a survey and the lack of reliable GPR data-interpretation software. This research effort attempts to overcome these problems by developing new GPR data analysis techniques that allow thickness estimation and subsurface defect detection from GPR data without operator intervention. The data analysis techniques are based on an accurate modeling of the propagation of the GPR electromagnetic waves through the pavement dielectric materials while traveling from the GPR transmitter to the receiver. Image-processing techniques are also applied to detect layer boundaries and subsurface defects. The developed data analysis techniques were validated utilizing data collected from an experimental pavement system: the Virginia Smart Road. The layer thickness error achieved by the developed system was around 3%. The conditions needed to achieve reliable and accurate results from GPR testing were also established. / Ph. D.

Software firms can use open source development model combined with proprietary development model to increase their profitability. Open source development models can help software firms create products with better technical features at a lower price. Since open source development is a community based development method the popularity of the software among customers will also increase. Using open source development method with proprietary method will also require firms to sell the product at a lower price. This creates a challenge for the firms to find the optimal price and level of openness to maximize their profit. Using the systems dynamics methodology, development, employment and customer choice for a typical software firm was captured in a simulation model to understand the dynamics of the software firm in a competitive market and to find the optimal level of openness and price. The model was built based on previous research literature, various software models and from the author's understanding of the software industry. Our analysis suggests that in a fast evolving market where customers spend less time researching and shopping for a software product (Antivirus market VS Operating Systems market), companies should maintain lower level of openness and higher proprietary type development to increase the Net Present Value of the organization. The software firm could benefit from a higher level of openness in a market where the customers base their purchasing decision on the popularity and compatibility of the software and strong network effects are present (e.g. Business intelligence software). / Master of Science

Recently, constant-on-time V2 control is more and more popular in industry products due to features of high light load efficiency, simple implementation and fast transient response. In many applications such as cell phone, camera, and other portable devices, low-ESR capacitors such as ceramic caps are preferred due to small size and small output voltage ripple requirement. However, for the converters with ceramic caps, the conventional V2 control suffers from the sub-harmonic oscillation due to the lagging phase of the capacitor voltage ripple relative to the inductor current ripple. Two solutions to eliminate sub-harmonic oscillations are discussed in [39] and the small-signal models are also derived based on time-domain describing function. However, the characteristic of constant-on-time V2 with external ramp is not fully understood and no explicit design guideline for the external ramp is provided. For digital constant on-time V2 control, the high resolution PWM can be eliminated due to constant on-time modulation scheme and direct output voltage feedback [43]. However, the external ramp design is not only related to the amplitude of the limit-cycle oscillation, but also very important to the stability of the system. The previous analysis is not thorough since numerical solution is used. The primary objective of this work is to gain better understanding of the small-signal characteristic for analog and digital constant-on-time V2 with ramp compensations, and provide the design guideline based on the factorized small-signal model. First, constant on-time current-mode control and constant on-time V2 control are reviewed. Generally speaking, constant-on-time current mode control does not have stability issues. However, for constant-on-time V2 control with ceramic caps, sub-harmonic oscillation occurs due to the lagging phase of the capacitor voltage ripple. External ramp compensation and current ramp compensation are two solutions to solve the problem. Previous equivalent circuit model extended by Ray Ridley's sample-and-hold concept is not applicable since it fails to consider the influence of the capacitor voltage ripple. The model proposed in [39] successfully considers the influence from the capacitor voltage ripple by using time-domain describing function method. However, the characteristic of constant-on-time V2 with external ramp is not fully understood. Therefore, more research focusing on the analysis is needed to gain better understanding of the characteristic and provide the design guideline for the ramp compensations. After that, the small-signal model and design of analog constant on-time V2 control is investigated and discussed. The small-signal models are factorized and pole-zero movements are identified. It is found that with increasing the external ramp, two pairs of double poles first move toward each other at half of switching frequency, after meeting at the key point, the two double poles separate, one pair moves to a lower frequency and the other moves to a higher frequency while keeping the quality factor equal to each other. For output impedance, with increasing the external ramp, the low frequency magnitude also increases. The recommended external ramp is around two times the magnitude at the key point K. When Duty cycle is larger, the damping performance is not good with only external ramp compensation, unless very high switching frequency is used. With current ramp compensation, it is recommended to design the current ramp so that the quality factor of the double pole is around 1. With current ramp compensation, the damping can be well controlled regardless of the circuit parameters. Next, the small-signal analysis and design strategy is also extended to digital constant on-time V2 control structure which is proposed in [43]. It is found that the scenario is very similar as analog constant on-time V2 control. The external ramp should be designed around the key point to improve the dynamic performance. The sampling effects of the output voltage require a larger external ramp to stabilize digital constant-on-time V2 control while suffers only a little bit of damping performance. One simple method for measuring control-to-output transfer functions in digital constant-on-time V2 control is presented. The experimental results verify the small-signal analysis except for the high frequency phase difference which reveals the delay effects in the circuit. Load transient experimental results prove the proposed design guideline for digital constant on-time V2 control. As a conclusion, the characteristics of analog and digital constant-on-time V2 control structures are examined and design guidelines are proposed for ramp compensations based on the factorized small-signal model. The analysis and design guideline are verified with simplis simulation and experimental results. / Master of Science

A study of procedures and techniques of measuring dielectric constant and dipole moment of liquids.