Stability is a critical issue in gain-scheduled control problems in that the closed loop system may not be stable during the transitions between operating conditions despite guarantees that the gain-scheduled controller stabilizes the plant model at fixed values of the scheduling variable. For Linear Parameter Varying (LPV) model representations, a controller interpolation method using Youla parameterization that guarantees stability despite fast transitions in scheduling variables is proposed. By interconnecting an LPV plant model with a Local Controller Network (LCN), the proposed Youla parameterization based controller interpolation method allows the interpolation of controllers of different size and structure, and guarantees stability at fixed points over the entire operating region. Moreover, quadratic stability despite fast scheduling is also guaranteed by construction of a common Lyapunov function, while the characteristics of individual controllers designed a priori at fixed operating condition are recovered at the design points. The efficacy of the proposed approach is verified with both an illustrative simulation case study on variation of a classical MIMO control problem and an experimental implementation on a multi-evaporator vapor compression cycle system. The dynamics of vapor compression systems are highly nonlinear, thus the gain-scheduled control is the potential to achieve the desired stability and performance of the system. The proposed controller interpolation/switching method guarantees the nonlinear stability of the closed loop system during the arbitrarily fast transition and achieves the desired performance to subsequently improve thermal efficiency of the vapor compression system.

Ground source heat pumps (GSHP) are efficient alternatives to air source heat pumps to provide heating and cooling for conditioned buildings. GSHPs are widely deployed in the midwest and eastern regions of the United States but less so in Texas and the southwest regions whose climates are described as being semi-arid. In these semi-arid regions, building loads are typically cooling dominated so the unbalance in energy loads to the ground, coupled with less conductive soil, cause the ground temperature to increase over time if the ground loop is not properly sized. To address this ground heating problem especially in commercial building applications, GSHPs are coupled with supplemental heat recovery/rejection (SHR) systems that remove heat from the water before it is circulated back into the ground loops. These hybrid ground source heat pump systems are designed to reduce ground heating and to lower the initial costs by requiring less number of or shallower boreholes to be drilled. This thesis provides detailed analyses of different SHR systems coupled to GSHPs specifically for residential buildings. The systems are analyzed and sized for a 2100 ft2 residential house, using Austin, Texas weather data and ground conditions. The SHR systems investigated are described by two heat rejection strategies: 1) reject heat directly from the water before it enters the ground loops and 2) reject heat from the refrigerant loop of the vapor compression cycle (VCC) of the heat pump so less heat is transferred to the water loop at the condenser of the VCC. The SHR systems analyzed in this thesis are cooling towers, optimized VCC, expanded desuperheaters and thermosyphons. The cooling towers focus on the direct heat rejection from the water loop. The VCC, desuperheater, and thermosyphon systems focus on minimizing the amount of heat rejected by the VCC refrigerant to the water loop. In each case, a detailed description of the model is presented, a parametric analysis is provided to determine the amounts of heat that can be rejected from the water loop for various cases of operation, and the practical feasibility of implementation is discussed. An economic analysis is also provided to determine the cost effectiveness of each method. / text

This thesis considers the problem of implementation of Model Predictive Control (MPC) strategies in the general area of Heating, Ventilation, Air Conditioning (HVAC). Specifically, the contributions utilize the constraint handling and optimality properties of MPC to achieve energy efficient control of many different HVAC systems. First, the thesis focuses on a linear offset-free MPC design for a vapor compression cycle. The key contributions include a a sequential tuning method and application to a detailed simulation test-bed, demonstrating superior closed-loop results to that of traditional control strategies in the presence of both disturbances and measurement noise. Next, a modified linear offset-free MPC formulation is implemented on a heat pump. The key contribution is the formulation of an optimization problem that recognizes the tradeoff between energy conservation and tracking performance. Simulation results illustrate superior performances as measured through three separate metrics: safety, energy efficiency and tracking. The implementation of MPC formulations to these realistic problems also pointed to a lack of MPC formulations with explicit performance considerations in the control design. Thus, in the final part of the thesis, these observed shortcomings in the standard offset-free linear MPC design are addressed via a new performance specification-based MPC. Desired closed-loop output response is specified and achieved through a tiered optimization formulation that can handle plant model mismatch. Superior closed-loop response, in terms of desired transient behavior and disturbance rejection, relative to standard linear-based and offset-free MPC designs is achieved. Finally, directions for future work are discussed. / Thesis / Doctor of Philosophy (PhD)

[pt] É estudada a aplicação de nanofluidos como fluidos secundários em sistemas de refrigeração por compressão de vapor mediante o desenvolvimento de um modelo termodinâmico de parâmetros concentrados. Quando um nanofluido é usado como fluido térmico, sua condutividade e viscosidade aumentam com respeito às propriedades do fluido base correspondente. Como conseqüência, a irreversibilidade por transferência calor diminui enquanto que a por atrito aumenta. É aplicado o método dos coeficientes estruturais para determinar o efeito da concentração de nanopartículas no fluido secundário na irreversibilidade global do sistema, levando em consideração as inter-relações da estrutura analisada. Para estimar os limites práticos da redução da irreversibilidade térmica com o uso de nanofluidos é proposta uma otimização do custo operacional, a partir de análise termoeconômica, considerando a aplicação do novo fluido secundário no sistema, sem nenhuma outra modificação no mesmo. A partir do modelo proposto, verificado com dados experimentais do ciclo de refrigeração, simulou-se um caso particular de operação. Mediante uma otimização parcial, foi determinado o ponto de mínimo custo operacional, com a simples variação da concentração volumétrica de nanopartículas. Os resultados das otimizações fornecem diferentes valores da concentração ótima para diferentes cenários, caracterizados por vários comprimentos equivalentes do circuito secundário e diversos tempos de operação anual. Adicionalmente, o trabalho inclui um estudo sobre a aplicação de nanofluidos em um evaporador de casco e tubo, o qual foi simulado a partir de um modelo termodinâmico detalhado. Dados experimentais foram levantados para validar o modelo. / [en] The application of nanofluids as secondary fluids in vapor compression refrigeration systems is studied with the development of a lumped-parameter thermodynamic model. When a nanofluid is used as a heat transfer fluid, its thermal conductivity and viscosity increase, when compared with the corresponding properties of the base fluid. The irreversibilities due to heat transfer and due to friction decrease and increase, respectively. After irreversibility is calculated for each component, the method of structural coefficients of internal bonds is applied to determine the effect of the volumetric concentration of nanoparticles in the secondary fluid on the system s global irreversibility, taking into account the interrelations of the analyzed structure. To estimate the practical limits of thermal irreversibility reduction with nanofluid application, an optimization of operational cost was proposed, based on thermoeconomic analysis, and considering the application of the new secondary fluid on the system, without additional modifications. Based on the proposed model, which was verified by experimental data, an typical operation condition was simulated. Through partial optimization, the minimum operational cost is determined for a simple variation of volumetric concentration of nanoparticles. The results of the optimizations furnish different optimal concentration values for different scenarios. Additionally, an study of nanofluid application in a shell and tube evaporator was included. The evaporator was simulated from a detailed thermodynamic model. Experimental data were collected to validate the model.

It is well known that microprocessor performance can be improved by lowering the junction temperature. Two stage cascaded vapor compression refrigeration (VCR) is a mature, inexpensive, and reliable cooling technology that can offer chip temperatures down to ?? C. Recent studies have shown that for a power limited computer chip, there is a non-linear scaling effect that offers a 4.3X performance enhancement at ?? C. The heat transfer performance of a compact evaporator is often the bottleneck in sub-ambient heat removal. For this reason, the design of a deep sub-ambient compact evaporator is critical to the cooling system performance and has not been addressed in the literature. Four compact evaporator designs were investigated as feasible designs - a baseline case with no enhancement structures, micro channels, inline pin fin arrays, and alternating pin fin arrays. A parametric experimental investigation of four compact evaporator designs has been performed aiming at enhancing heat transfer. Each evaporator consists of oxygen free copper and has a footprint of 20 mm x 36 mm, with a total thickness of 3.1 mm. The micro channel evaporator contains 13 channels that are 400 um wide by 1.2 mm deep, and the pin fin evaporators contain approximately 80 pin fins that are 400 um wide by 1.2 mm tall with a pitch of 800 um. Two phase convective boiling of R508b refrigerant was investigated in each evaporator at flow rates of 50 - 70 g/min and saturation temperatures of ??to ??C. Pressure drop and local heat transfer measurements are reported and used to explain the performance of the various evaporator geometries. The results are compared to predictions from popular macro- and micro-channel heat transfer and pressure drop correlations. The challenges of implementing a two stage cascade VCR systems for microprocessor refrigeration are also discussed.

Cooling of electronic equipments has become an important issue as the advances in technology enabled the fabrication of very small devices. The main challenge in cooling is the space limitation. The use of miniature refrigerators seems to be a solution alternative for the cooling problem. The objective of this study is to design and simulate a vapor compression refrigeration cycle for a micro-scale refrigerator. A MATLAB code is developed for the simulations. The four components of the refrigerator, namely, the condenser, evaporator, compressor and the capillary tube are designed separately. The cycle is successfully completed nearly at the same point where it begins. The cold space temperature, ambient air temperature, condensation and evaporation temperatures, and the evaporator heat load are the predetermined parameters. A fan is used to cool the condenser, and the compressor is selected as isentropic. R-134A is selected as the refrigerant and a simple interpolation code is developed to obtain the thermophysical properties of R-134A. The original design is carried out with an isentropic compressor. For the purpose of comparison, a cycle with a polytropic compressor is also considered. Similarly, two alternative designs for the evaporator are developed and simulated. A second law analysis is performed at the end of the study.

Industrial and military vehicles, including trucks, tanks and others, employ cooling systems that address passenger cooling and auxiliary cooling loads ranging from a few Watts to 50 kW or more. Such systems are typically powered using vapor-compression cooling systems that either directly supply cold air to the various locations, or cool an intermediate single-phase coolant closed loop, which in turn serves as the coolant for the passenger cabins and auxiliary loads such as electronics modules. Efforts are underway to enhance the performance of such systems, and also to develop more light weight and compact systems that would remove high heat fluxes. The distributed cooling configuration offers the advantage of a smaller refrigerant system package. The heat transfer between the intermediate fluid and air or with the auxiliary heat loads can be fine tuned through the control of flow rates and component sizes and controls to maintain tight tolerances on the cooling performance. Because of the additional loop involved in such a configuration, there is a temperature penalty between the refrigerant and the ultimate heat sink or source, but in some configurations, this may be counteracted through judicious design of the phase change-to-liquid coupled heat exchangers. Such heat exchangers are inherently smaller due to the high heat transfer coefficients in phase change and single-phase liquid flow compared to air flow. The additional loop also requires a pump to circulate the fluid, which adds pumping power requirements. However, a direct refrigerant-to-heat load coupling system might in fact be suboptimal if the heat loads are distributed across large distances. This is because of the significantly higher pressure drops (and saturation temperature drops) incurred in transporting vapor or two-phase fluids through refrigerant lines across long plumbing elements. An optimal system can be developed for any candidate application by assessing the tradeoffs in cooling capacity, heat exchanger sizes and configurations, and compression, pumping and fan power. In this study, a versatile simulation platform for a wide variety of direct and indirectly coupled cooling systems was developed to enable comparison of different component geometries and system configurations based on operating requirements and applicable design constraints. Components are modeled at increasing levels of complexity ranging from specified closest approach temperatures for key components to models based on detailed heat transfer and pressure drop models. These components of varying complexity can be incorporated into the system model as desired and trade-off analyses on system configurations performed. Employing this platform as a screening, comparison, and optimization tool, a number of conventional vapor-compression and distributed cooling systems were analyzed to determine the efficacy of the distributed cooling scheme in mobile cooling applications. Four systems serving approximately a 6 kW cooling duty, two with air-coupled evaporators and two with liquid-coupled evaporators, were analyzed for ambient conditions of 37.78°C and 40% relative humidity. Though the condensers and evaporators are smaller in liquid-coupled systems, the total mass of the heat exchangers in the liquid-coupled systems is larger due to the additional air-to-liquid heat exchangers that the configuration requires. Additionally, for the cooling applications considered, the additional compressor power necessitated by the liquid-coupled configuration and the additional power consumed by the liquid-loop pumps result in the coefficient of performance being lower for liquid-coupled systems than for air-coupled systems. However, the use of liquid-coupling in a system does meet the primary goal of decreasing the system refrigerant inventory by enabling the use of smaller condensers and evaporators and by eliminating long refrigerant carrying hoses.

<div>As space exploration continues to accelerate, various cooling applications follow suit. Refrigeration and freezing of biological samples, astronaut food as well as electronics cooling and air-conditioning are necessary and demand increased capacity. In the past, these demands have been met by thermoelectric cooling or cryogenic cycles, which are easily adapted to a microgravity environment but have a relatively low efficiency in the refrigeration and freezing temperature range. A number of studies have investigated the development of higher efficiency vapor compression cycles for spacecraft, which would have the benefit of a smaller mass penalty due to the reduced power consumption. Despite notable research efforts during the 1990s, the number of vapor compression coolers that have operated in microgravity until today is small and their performance was insufficient to provide confidence into the technology for microgravity applications. Related experimental research has decreased since the 2000s.<br></div><div><br></div><div>For this dissertation, all vapor compression cycles (VCC) that have operated in microgravity according to the open literature were reviewed with their applications, compressor types and reported issues. Suggested design tools were summarized with a focus on gravity independence criteria for two-phase flow. For the most effective increase of the technology readiness level, simple but systematic experiments regarding the stability of VCCs against orientation and gravity changes were prioritized in this dissertation. An important goal of the research was the continuous operation and start-up of vapor compression cycles on parabolic flights, experiments that have not been reported in the open literature. Two separate test stands were built and flown on four parabolic flights, totaling 122 parabolas for each experiment.<br></div><div><br></div><div>The parabolic flight experiments were prepared with extensive ground-based testing. Multiple anomalies were encountered during the pursuit of continuous vapor compression cycle operation through a rotation of 360 degrees, including liquid flooding of the compressor. Systematic inclination testing was conducted with two different cycle configurations and a wide range of operating conditions. A strong correlation was found between the relative stability of the heat source heat transfer rate and the refrigerant mass flux for an inclination procedure with angle changes once every 2 minutes.<br></div><div><br></div><div>The parabolic flights exposed the test stand to quickly alternating hyper and microgravity. The evaporation temperature reacted to the different gravity levels with fluctuations that stretched on average 2.2 K from the maximum to minimum temperature measured during one set of parabolas. Changes of the evaporator inlet flow regime as a function of gravity were observed visually and the low-side pressure and mass flow rate sometimes oscillated in microgravity. The cycle responses induced by ground-based inclination testing were typically stronger than changes caused by the parabolic flight maneuvers for relatively low mass flow rates. Overall, the parabolic flight maneuvers were not detrimental to the cycle operation. <br></div><div><br></div><div>The second test stand was dedicated to liquid flooding observations at cycle start-up. Different flow regimes were observed in microgravity during testing with a transparent evaporator but the absence of gravity did not significantly alter the general time-based flooding quantifiers.<br></div><div><br></div><div>Design recommendations are drawn from the research where possible and summarized at the end of the dissertation. Selected data, code, pictures and videos were released together with this dissertation(Brendel, 2021)<br></div>

In this thesis, performance of a heat pump aided by solar heating system with an evacuated tubular collector has been analyzed theoretically and experimentally. For this purpose, a domestic hot water heating system has been designed, constructed and tested. The evacuated tubular solar collector has been used to achieve higher collector efficiency in winter. The fraction of the solar energy utilized has been measured experimentally and estimated theoretically. Effects of various parameters have been investigated on the performance of the proposed system. A mathematical model was developed to investigate the effects of different environmental, design and operational parameters on the solar heating system. In order to compare the obtained theoretical results with experimental ones, an experimental study has been carried out. For that, a number of experiments have been made at the solar house of the Mechanical Engineering Department of METU. An air-to-air heat pump was integrated with an evacuated tubular solar water heater unit (closed water circulation) and the performance of it has been studied experimentally. As a result of the experimental study, the maximum value of the coefficient of performance of the solar assisted heat pump used in this study was obtained as 4.85. The second law efficiency of the system was between 4.8-27.4 %.

The subject of this diploma thesis is to apply the knowledge of thermodynamics when designing parameters of the train air conditioning unit. In the first part, the issue of air conditioning technology, basic types of cooling circuits and description of individual components are outlined. Furthermore, there is an overview of groups of refrigerants and their labelling. In the second part, a calculation of the heat load of the train unit for the limit design conditions of summer and winter operation, including the application of humid air theory are to be found. There is a basic procedure for designing the main components of compressor cooling, which is almost exclusively used in train applications, outlined. The last part contains the procedure for calculating the gains/losses in the distribution channels of the real air conditioning unit M7 and the evaluation of the results. In the appendix, there is an SW in MS Excel program, which can be indicatively used to calculate the total gains/losses of the distribution channels on any air-conditioning unit before the air enters into the train unit.