O Motor Assíncrono Tubular para Aplicação na Extração de Óleo do Subsolo MATÆOS foi desenvolvido na Escola Politécnica da Universidade de São Paulo (EPUSP) com a função de acionar diretamente uma bomba de sucção, instalada no fundo de um poço de petróleo em terra. Dando continuidade aos trabalhos realizados na EPUSP envolvendo sistemas de levitação magnética, foi desenvolvido um mancal magnético ativo (AMB - Active Magnetic Bearing), aplicado ao protótipo do motor em substituição ao mancal mecânico tradicional existente. O projeto abrange a construção de um protótipo de mancal magnético composto das partes mecânicas, elétricas e de software necessárias ao funcionamento do sistema. O projeto do eletroímã foi realizado por meio do método dos elementos finitos (MEF), para análise da densidade de fluxo e da relação entre a força radial e a corrente elétrica nas bobinas. O controle da levitação do mancal é realizado por meio de controlador digital com placas conversoras AD/DA e algoritmo de controle implementado em hardware FPGA. Utilizando o modelo do sistema, os controladores são sintonizados para atender aos requisitos de estabilidade e rejeição de perturbações, que desviem o entreferro do seu valor nominal. Na configuração do AMB, ao invés do sistema tradicional com oito pólos, um conceito diferente é adotado. Neste, uma máquina primitiva bearingless é excitada com corrente contínua e usada como mancal magnético. Os resultados experimentais obtidos com o protótipo em funcionamento mostram que o sistema em malha fechada é estável e apresenta uma resposta transitória satisfatória. / A tubular linear induction motor applied to onshore oil exploitation, named MATÆOS (which is in the Portuguese acronym for Tubular Asynchronous Motor for Onshore Oil Exploitation) was built at Escola Politécnica da Universidade de São Paulo (EPUSP). Its purpose is to directly drive the sucker-rod pump installed in the down hole of the oil well. In continuing the research accomplished at EPUSP concerning magnetic levitation systems, an Active Magnetic Bearing (AMB) was developed and applied to the prototype of the motor in substitution to the existing traditional bearing. The design includes the construction of the magnetic bearing prototype composed of mechanical, electric and software components required to the operation of the system. The electromagnet design was accomplished using the Finite Element Method (FEM) in the analysis of both the flux density and the relationship between the radial force and the suspension winding current. The magnetic bearing levitation control is executed by a digital controller using an AD/DA converter and a control algorithm implemented in FPGA hardware. Using the system model, the controllers are tuned to provide both stability and rejection of disturbances that tend to move the air gap from its nominal value. Instead of the usual eight-pole AMB, a different concept is adopted where a DC-excited primitive bearingless machine is used as a magnetic bearing. The experimental results obtained with the prototype in operation show that the closed-loop system is stable and exhibits a satisfactory transient response.

Esta dissertação tem como objetivo o projeto de um mancal magnético para rodas de reação com aplicação na malha de controle de atitude de satélites. Mancais magnéticos são alternativas aos mancais tradicionais tais como os de esferas ou de lubrificação seco pois trabalham sem contato mecânico entre o rotor e o estator, minimizando assim a fricção entre ambas as partes. Além da minimização do atrito, o ganho em confiabilidade e vida útil da roda de reação é considerável por não apresentar desgastes mecânicos. Devido às consequências de qualquer fricção no movimento relativo entre a inércia (parte rotativa da roda de reação) e o satélite, o mancal torna-se um componente crítico da roda de reação. A fricção se traduz não apenas num maior consumo de potência elétrica, como também na introdução de uma zona morta de atuação em torque, bem como na limitação da vida útil da roda de reação devido ao gradual desgaste do mancal. O mancal proposto possui dois graus de liberdade axiais ativamente controlados e faz uso de ímãs para a estabilização passiva dos demais graus de liberdade. Ao longo do desenvolvimento são apresentados modelos não lineares dos campos magnéticos e das forças atuantes no mancal são encontrados. Com esses modelos, uma otimização é realizada a fim de encontrar melhores características. Um modelo não linear da dinâmica do rotor é desenvolvido e um controle PID capaz de estabilizar o rotor em seu ponto de equilíbrio é apresentado com o objetivo de demonstrar a viabilidade da topologia proposta. / The main objective of this work is to project a magnetic bearing for reaction wheels with application in satellite attitude control. Magnetic bearings are alternatives to traditional bearings such as ball or dry lubrication because they work without mechanical contact between the rotor and the stator thereby minimizing friction between both parts. In addition to minimizing friction, the gain in reliability and lifetime of the reaction wheel is considerable as a consequence of the absence of wear. Because of the consequences of any friction in the relative movement between the inertia (of the reaction wheel) and the satellite ( which is rigidly connected to the satellite body), the bearing becomes a critical component of the reaction wheel. The friction gives rise not only to a greater consumption of electric power, as well as the introduction of a torque dead zone operation, in a reduced lifetime of the reaction wheel due to gradual wear of the bearing. The proposed bearing has two axial degrees of freedom actively controlled and makes use of magnets for the passive stabilization of other degrees of freedom. Nonlinear models of magnetic fields and forces acting on the bearing are presented. With these models, an optimization is performed to find the best bearing characteristics. A nonlinear model rotor dynamics is developed and a PID control capable of stabilizing the active degrees of freedom presented.

The problem addressed in this thesis is the delevitation modelling of an active magnetic bearing (AMB) supported rotor. A system model needs to be developed that models the highly non-linear interaction of the rotor with the backup bearings (BBs) during a delevitation event. The model should accurately predict forward and backward whirl as well as the system forces experienced. To this end, the severity of rotor delevitation events should be characterised. The contributions of the research include a more comprehensive model of a cross-coupled flexible rotor-AMB-BB system, a method to obtain repeatable experimental results, two methods for quantifying the severity of a rotor-drop (RDQ and Vval) and the simulation of forward whirl. A simulation model (BBSim) was developed to predict the behaviour of a rotor in rolling element BBs in an AMB system during a rotor delevitation event. The model was validated using a novel rotor delevitation severity quantification method (Vval) to compare experimental and simulated results. In this study the force impulse values as the rotor impacts the BBs are seen as critical to monitor, as an indication of rotor drop severity. The novel quantification method was verified by comparing the impulse values of delevitation events to the values obtained for the same delevitation events using the novel quantification method. The simulation model (BBSim) was developed by integrating and cross coupling various simpler models to obtain a model that could accurately predict the behaviour of a rotor during a delevitation event. A plethora of simulation results were generated for various initial conditions. The simulation results were used to perform a parametric study, from which the effects that certain design parameters have on the severity of rotor delevitation events are determined. The novel quantification method results presented in this research compared well to the impulse values. Since most AMB systems that have BBs do not have force measurement capabilities, the development of the novel quantification method enables the quantification of rotor drop severity solely based on position data. The simulation model BBSim was found to accurately predict the behaviour of a rotor during a delevitation event. The parametric study completed using BBSim revealed that the severity of rotor delevitation events is less sensitive to the bearing stiffness than the bearing damping. The parametric study also found that the severity of a delevitation event is slightly sensitive to the angle of delevitation. The friction factor between the rotor and the inner-race of the rolling element bearings moderately influences the severity of the rotor delevitation event. The inertia of the rolling element bearing’s inner-race and balls influences the behaviour in a complex manner, where the inertia should be kept as low as possible for actively braked rotors, and should be higher for free running rotors. The unbalance of the rotor plays a major role in the severity of rotor delevitation events. A rotor with a high unbalance usually tends to go into forward whirl, whereas low unbalance could promote the development of backward whirl if the inertia of the inner-race and the friction factor between the inner-race and the rotor are excessively large. Some of the recommended future work to be done on BBSim Include investigations into load sharing, various failure modes of AMBs, the effect that rotor circularity has on the stability of AMB control and an investigation into forward whirl. Envisaged improvements that can be made to BBSim are the inclusion of an axial rotor AMB and BB model, cross-coupled with the existing BBSim model. Other improvements could be the inclusion of thermal modelling and the ability to simulate other types of BBs. Future experimental work could include a comparison of simulated and experimental results of larger systems and using the developed quantification methods to refine the defined threshold values for the safe operation of AMB systems. / PhD, North-West University, Potchefstroom Campus, 2014 / Appendix C is attached seperately because of the size of the pdf (920 MB). If it is too large to download, please loan the hardcopy with the CD from the Loan desk in the Ferdinand Postma Library.

The problem addressed in this thesis is the delevitation modelling of an active magnetic bearing (AMB) supported rotor. A system model needs to be developed that models the highly non-linear interaction of the rotor with the backup bearings (BBs) during a delevitation event. The model should accurately predict forward and backward whirl as well as the system forces experienced. To this end, the severity of rotor delevitation events should be characterised. The contributions of the research include a more comprehensive model of a cross-coupled flexible rotor-AMB-BB system, a method to obtain repeatable experimental results, two methods for quantifying the severity of a rotor-drop (RDQ and Vval) and the simulation of forward whirl. A simulation model (BBSim) was developed to predict the behaviour of a rotor in rolling element BBs in an AMB system during a rotor delevitation event. The model was validated using a novel rotor delevitation severity quantification method (Vval) to compare experimental and simulated results. In this study the force impulse values as the rotor impacts the BBs are seen as critical to monitor, as an indication of rotor drop severity. The novel quantification method was verified by comparing the impulse values of delevitation events to the values obtained for the same delevitation events using the novel quantification method. The simulation model (BBSim) was developed by integrating and cross coupling various simpler models to obtain a model that could accurately predict the behaviour of a rotor during a delevitation event. A plethora of simulation results were generated for various initial conditions. The simulation results were used to perform a parametric study, from which the effects that certain design parameters have on the severity of rotor delevitation events are determined. The novel quantification method results presented in this research compared well to the impulse values. Since most AMB systems that have BBs do not have force measurement capabilities, the development of the novel quantification method enables the quantification of rotor drop severity solely based on position data. The simulation model BBSim was found to accurately predict the behaviour of a rotor during a delevitation event. The parametric study completed using BBSim revealed that the severity of rotor delevitation events is less sensitive to the bearing stiffness than the bearing damping. The parametric study also found that the severity of a delevitation event is slightly sensitive to the angle of delevitation. The friction factor between the rotor and the inner-race of the rolling element bearings moderately influences the severity of the rotor delevitation event. The inertia of the rolling element bearing’s inner-race and balls influences the behaviour in a complex manner, where the inertia should be kept as low as possible for actively braked rotors, and should be higher for free running rotors. The unbalance of the rotor plays a major role in the severity of rotor delevitation events. A rotor with a high unbalance usually tends to go into forward whirl, whereas low unbalance could promote the development of backward whirl if the inertia of the inner-race and the friction factor between the inner-race and the rotor are excessively large. Some of the recommended future work to be done on BBSim Include investigations into load sharing, various failure modes of AMBs, the effect that rotor circularity has on the stability of AMB control and an investigation into forward whirl. Envisaged improvements that can be made to BBSim are the inclusion of an axial rotor AMB and BB model, cross-coupled with the existing BBSim model. Other improvements could be the inclusion of thermal modelling and the ability to simulate other types of BBs. Future experimental work could include a comparison of simulated and experimental results of larger systems and using the developed quantification methods to refine the defined threshold values for the safe operation of AMB systems. / PhD, North-West University, Potchefstroom Campus, 2014 / Appendix C is attached seperately because of the size of the pdf (920 MB). If it is too large to download, please loan the hardcopy with the CD from the Loan desk in the Ferdinand Postma Library.

Made available in DSpace on 2014-06-11T19:27:14Z (GMT). No. of bitstreams: 0 Previous issue date: 2006-03-03Bitstream added on 2014-06-13T18:31:08Z : No. of bitstreams: 1 goncalvesjr_r_me_ilha.pdf: 1793490 bytes, checksum: 31bd12dfbef20fead2490b33aa2d1148 (MD5) / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / Este trabalho apresenta uma análise teórica do desempenho de um sistema de controle ativo de vibração de rotores utilizando mancais magnéticos. O esquema de controle ativo proposto utiliza a estratégia de controle ativo feedforward sobreposta ao sistema de controle feedback dos mancais magnéticos. O desempenho desse sistema de controle foi analisado em função da flexibilidade dos rotores considerando o impacto do número e da localização dos atuadores e dos sensores de erro sobre a redução dos níveis de vibração desses rotores, tanto em termos de vibração global quanto em termos de vibração local. O sistema de controle foi aplicado em um modelo teórico de rotor desenvolvido através do método da matriz de impedância. / This work presents a theoretical analysis of the performance of a system of active control of rotor vibrations using magnetic bearings. The proposed scheme of active control uses a feedforward active control strategy superimposed on the feedback control system of the magnetic bearings. The performance of this control system was analyzed as a function of the rotor flexibility considering the impact and optimization of the actuators and error sensors placement on the reduction of vibration levels of these rotors, in terms of global vibration as well as in terms of local vibration of the rotor. The control system was applied to a theoretical rotor model developed by the matrix impedance method.

Esta dissertação tem como objetivo o projeto de um mancal magnético para rodas de reação com aplicação na malha de controle de atitude de satélites. Mancais magnéticos são alternativas aos mancais tradicionais tais como os de esferas ou de lubrificação seco pois trabalham sem contato mecânico entre o rotor e o estator, minimizando assim a fricção entre ambas as partes. Além da minimização do atrito, o ganho em confiabilidade e vida útil da roda de reação é considerável por não apresentar desgastes mecânicos. Devido às consequências de qualquer fricção no movimento relativo entre a inércia (parte rotativa da roda de reação) e o satélite, o mancal torna-se um componente crítico da roda de reação. A fricção se traduz não apenas num maior consumo de potência elétrica, como também na introdução de uma zona morta de atuação em torque, bem como na limitação da vida útil da roda de reação devido ao gradual desgaste do mancal. O mancal proposto possui dois graus de liberdade axiais ativamente controlados e faz uso de ímãs para a estabilização passiva dos demais graus de liberdade. Ao longo do desenvolvimento são apresentados modelos não lineares dos campos magnéticos e das forças atuantes no mancal são encontrados. Com esses modelos, uma otimização é realizada a fim de encontrar melhores características. Um modelo não linear da dinâmica do rotor é desenvolvido e um controle PID capaz de estabilizar o rotor em seu ponto de equilíbrio é apresentado com o objetivo de demonstrar a viabilidade da topologia proposta. / The main objective of this work is to project a magnetic bearing for reaction wheels with application in satellite attitude control. Magnetic bearings are alternatives to traditional bearings such as ball or dry lubrication because they work without mechanical contact between the rotor and the stator thereby minimizing friction between both parts. In addition to minimizing friction, the gain in reliability and lifetime of the reaction wheel is considerable as a consequence of the absence of wear. Because of the consequences of any friction in the relative movement between the inertia (of the reaction wheel) and the satellite ( which is rigidly connected to the satellite body), the bearing becomes a critical component of the reaction wheel. The friction gives rise not only to a greater consumption of electric power, as well as the introduction of a torque dead zone operation, in a reduced lifetime of the reaction wheel due to gradual wear of the bearing. The proposed bearing has two axial degrees of freedom actively controlled and makes use of magnets for the passive stabilization of other degrees of freedom. Nonlinear models of magnetic fields and forces acting on the bearing are presented. With these models, an optimization is performed to find the best bearing characteristics. A nonlinear model rotor dynamics is developed and a PID control capable of stabilizing the active degrees of freedom presented.

O Motor Assíncrono Tubular para Aplicação na Extração de Óleo do Subsolo MATÆOS foi desenvolvido na Escola Politécnica da Universidade de São Paulo (EPUSP) com a função de acionar diretamente uma bomba de sucção, instalada no fundo de um poço de petróleo em terra. Dando continuidade aos trabalhos realizados na EPUSP envolvendo sistemas de levitação magnética, foi desenvolvido um mancal magnético ativo (AMB - Active Magnetic Bearing), aplicado ao protótipo do motor em substituição ao mancal mecânico tradicional existente. O projeto abrange a construção de um protótipo de mancal magnético composto das partes mecânicas, elétricas e de software necessárias ao funcionamento do sistema. O projeto do eletroímã foi realizado por meio do método dos elementos finitos (MEF), para análise da densidade de fluxo e da relação entre a força radial e a corrente elétrica nas bobinas. O controle da levitação do mancal é realizado por meio de controlador digital com placas conversoras AD/DA e algoritmo de controle implementado em hardware FPGA. Utilizando o modelo do sistema, os controladores são sintonizados para atender aos requisitos de estabilidade e rejeição de perturbações, que desviem o entreferro do seu valor nominal. Na configuração do AMB, ao invés do sistema tradicional com oito pólos, um conceito diferente é adotado. Neste, uma máquina primitiva bearingless é excitada com corrente contínua e usada como mancal magnético. Os resultados experimentais obtidos com o protótipo em funcionamento mostram que o sistema em malha fechada é estável e apresenta uma resposta transitória satisfatória. / A tubular linear induction motor applied to onshore oil exploitation, named MATÆOS (which is in the Portuguese acronym for Tubular Asynchronous Motor for Onshore Oil Exploitation) was built at Escola Politécnica da Universidade de São Paulo (EPUSP). Its purpose is to directly drive the sucker-rod pump installed in the down hole of the oil well. In continuing the research accomplished at EPUSP concerning magnetic levitation systems, an Active Magnetic Bearing (AMB) was developed and applied to the prototype of the motor in substitution to the existing traditional bearing. The design includes the construction of the magnetic bearing prototype composed of mechanical, electric and software components required to the operation of the system. The electromagnet design was accomplished using the Finite Element Method (FEM) in the analysis of both the flux density and the relationship between the radial force and the suspension winding current. The magnetic bearing levitation control is executed by a digital controller using an AD/DA converter and a control algorithm implemented in FPGA hardware. Using the system model, the controllers are tuned to provide both stability and rejection of disturbances that tend to move the air gap from its nominal value. Instead of the usual eight-pole AMB, a different concept is adopted where a DC-excited primitive bearingless machine is used as a magnetic bearing. The experimental results obtained with the prototype in operation show that the closed-loop system is stable and exhibits a satisfactory transient response.

Hochtemperaturmagnetlager in Turbomaschinen erfordern Lagesensoren, die den Umgebungsbedingungen ebenfalls dauerhaft standhalten und den Lagereglern hinreichend genaue und störungsfreie Informationen über die Rotorpositionen kontinuierlich zur Verfügung stellen. Ausgehend von den Einsatzbedingungen wurden mögliche Messprinzipien untersucht. In einem zweiten Schritt erfolgte die Recherche zu temperaturbeständigen Werkstoffen für die Sensorkomponenten und auf Basis einer Marktanalyse wurde deren Verfügbarkeit geprüft. Im Anschluss wurde ein kombinierter induktiver Radial-Axial-Lagesensor als Prototyp für den Einsatz am Magnet- und Fanglagerprüfstand MFLP ausgelegt. Dazu wurde ein analytischer Auslegungsalgorithmus für schnelle Auslegungsrechnungen erstellt und in MATLAB umgesetzt. Aufbauend auf den Ergebnissen der Auslegung wurde der Sensor konstruiert und gefertigt. Parallel dazu wurde eine Sensorelektronik entwickelt. Das Paper beschreibt die Auslegung und Konstruktion des Sensors und die Entwicklung der dazugehörigen Elektronik. / High-temperature magnetic bearings in turbomachinery require position sensors that can also withstand the ambient conditions permanently. This measurement system continuously provide the position controllers with sufficiently accurate and interference-free information about the rotor positions. Based on the operating conditions, suitable measurement principles were investigated. Furthermore suitable temperature-resistant materials for the sensor components were identified and their availability was checked based on a market analysis. Subsequently, a combined inductive radial-axial position sensor was developed. The demonstrator was designed for air gap measurements at the MFLP - a test rig for magnetic and backup bearings. For this purpose, an analytical design algorithm for fast design calculations was created and implemented in MATLAB. Based on the design results, the sensor was designed and manufactured. In parallel, sensor electronics were developed. The paper describes the design and construction of the sensor and the development of the associated electronics.

No description available.

O mancal magnético base deste trabalho é de 1-GDL(grau de liberdade) de controle uni-axial com circuito magnético híbrido do tipo atração, o qual foi desenvolvido em 2000 na Escola Politécnica da Universidade de São Paulo por Silva e Horikawa [1][2]. Nas duas extremidades do rotor são fixados ímãs, e em oposição ficam os atuadores eletromagnéticos com núcleos ferromagnéticos. Os ímãs são atraídos para os atuadores pelas forças magnéticas devido à presença dos núcleos ferromagnéticos dos dois atuadores. Devido à concorrência entre as forças magnéticas de atração, o rotor fica confinado na posição central do eixo axial resultando numa rigidez passiva para esforços radiais. E na direção axial, a posição do rotor é definida pelo controle ativo que produz o efeito da levitação magnética do rotor. Se o rotor do mancal magnético sofrer esforços na direção axial, o sistema de controle deve aplicar mais corrente elétrica nos atuadores para assegurar o correto posicionamento do rotor, isto pode gerar um enorme consumo de energia elétrica. Este trabalho estuda o princípio de controle de mancal magnético com potência nula para ser aplicado no projeto de uma bomba centrífuga mista, que tem seu rotor suspenso magneticamente. É chamada de potência nula a condição de operação com o mínimo de consumo de energia na levitação do rotor. A bomba em projeto será utilizada no auxílio da circulação sanguínea, aliviando a carga do bombeamento do ventrículo esquerdo do coração doente, por isso o projeto da bomba é chamado de Dispositivo de Assistência Ventricular (DAV). As necessidades técnicas do DAV justificam o emprego do sistema de mancal magnético e do controle de potência nula. Para se aplicar a técnica de controle de potência nula é essencial que o sistema magnético do mancal seja do tipo híbrido. Este estudo se desenvolveu a partir do sistema de mancal magnético desenvolvido por Silva e Horikawa [1][2] pela semelhança de propriedades que o mancal do DAV solicita. O Algoritmo do controle de potência nula (ZPC- zero power control) foi desenvolvido para proporcionar um código simples e pequeno sem comprometer a robustez do controle que o projeto do DAV requer. / The magnetic bearing of this work is based on the 1-DOF (degree of freedom) control uni-axial magnetic circuit with hybrid-type attraction, which was developed in 2000 at the Polytechnic School, University of São Paulo by Silva and Horikawa [1][2]. At both ends of the rotor magnets are fixed, and in opposition are the electromagnetic actuators with ferromagnetic cores. The magnets are attracted to the actuators by the forces due to the presence of ferromagnetic cores of the two actuators. Due to competition between the magnetic forces of attraction, the rotor is confined in the central position of the axial stiffness resulting in efforts to radial. And in the axial direction, the rotor position is defined by the active control that produces the effect of magnetic levitation of the rotor. If the rotor magnetic bearing suffer efforts in the axial direction, the control system should apply more electrical current in the actuators to ensure correct positioning of the rotor, this can generate a huge power consumption. This paper studies the principle of magnetic bearing control with zero power to be applied in designing a mixed centrifugal pump, which has its rotor magnetically suspended. It is called the zero power operating condition with minimal energy consumption in the levitation of the rotor. The pump design will be used to aid blood circulation, relieving the load on the pumping of the left ventricle of the heart sick, so the pump design is called a Ventricular Assist Device (VAD). The technical needs of the DAV justify the use of magnetic bearing system and zero power control. To apply the technique of zero power control is essential that the magnetic bearing system is a hybrid. This study was developed from the magnetic bearing system developed by Silva and Horikawa [1] [2] by the similarity of the bearing properties of the DAV requests. The algorithm of zero power control (ZPC-zero power control \") was developed to provide a simple and small code without compromising the robustness of the control that the project requires the VAD.