983 resultados para Industrial automation, Programmable logic controllers.


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This monograph presents the main objective of analyzing the redundancy protection systems of protection for redundancy and block of energies against accident in presses and rotating equipment. After understanding two specific goals, on this case, show the systems of protection against accidents in rotating equipments, presses and similar; and discuss the vulnerabilities of current systems of protection against accidents in presses and similar, we will propose a system of autonomous redundancy of Programmable Logic Controller (PLC) operating simultaneously taking online in the event of failure of one of the two. The methodology was worked through a revision of a variety of bibliography, and interpretation of national and international standards as well as access to research on systems, practices used in industrial and companies supplying products and of companies and energy blockages solutions

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This paper presents the new active absorption wave basin, named Hydrodynamic Calibrator (HC), constructed at the University of São Paulo (USP), in the Laboratory facilities of the Numerical Offshore Tank (TPN). The square (14 m 14 m) tank is able to generate and absorb waves from 0.5 Hz to 2.0 Hz, by means of 148 active hinged flap wave makers. An independent mechanical system drives each flap by means of a 1HP servo-motor and a ball-screw based transmission system. A customized ultrasonic wave probe is installed in each flap, and is responsible for measuring wave elevation in the flap. A complex automation architecture was implemented, with three Programmable Logic Computers (PLCs), and a low-level software is responsible for all the interlocks and maintenance functions of the tank. Furthermore, all the control algorithms for the generation and absorption are implemented using higher level software (MATLAB /Simulink block diagrams). These algorithms calculate the motions of the wave makers both to generate and absorb the required wave field by taking into account the layout of the flaps and the limits of wave generation. The experimental transfer function that relates the flap amplitude to the wave elevation amplitude is used for the calculation of the motion of each flap. This paper describes the main features of the tank, followed by a detailed presentation of the whole automation system. It includes the measuring devices, signal conditioning, PLC and network architecture, real-time and synchronizing software and motor control loop. Finally, a validation of the whole automation system is presented, by means of the experimental analysis of the transfer function of the waves generated and the calculation of all the delays introduced by the automation system.

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El auge del "Internet de las Cosas" (IoT, "Internet of Things") y sus tecnologías asociadas han permitido su aplicación en diversos dominios de la aplicación, entre los que se encuentran la monitorización de ecosistemas forestales, la gestión de catástrofes y emergencias, la domótica, la automatización industrial, los servicios para ciudades inteligentes, la eficiencia energética de edificios, la detección de intrusos, la gestión de desastres y emergencias o la monitorización de señales corporales, entre muchas otras. La desventaja de una red IoT es que una vez desplegada, ésta queda desatendida, es decir queda sujeta, entre otras cosas, a condiciones climáticas cambiantes y expuestas a catástrofes naturales, fallos de software o hardware, o ataques maliciosos de terceros, por lo que se puede considerar que dichas redes son propensas a fallos. El principal requisito de los nodos constituyentes de una red IoT es que estos deben ser capaces de seguir funcionando a pesar de sufrir errores en el propio sistema. La capacidad de la red para recuperarse ante fallos internos y externos inesperados es lo que se conoce actualmente como "Resiliencia" de la red. Por tanto, a la hora de diseñar y desplegar aplicaciones o servicios para IoT, se espera que la red sea tolerante a fallos, que sea auto-configurable, auto-adaptable, auto-optimizable con respecto a nuevas condiciones que puedan aparecer durante su ejecución. Esto lleva al análisis de un problema fundamental en el estudio de las redes IoT, el problema de la "Conectividad". Se dice que una red está conectada si todo par de nodos en la red son capaces de encontrar al menos un camino de comunicación entre ambos. Sin embargo, la red puede desconectarse debido a varias razones, como que se agote la batería, que un nodo sea destruido, etc. Por tanto, se hace necesario gestionar la resiliencia de la red con el objeto de mantener la conectividad entre sus nodos, de tal manera que cada nodo IoT sea capaz de proveer servicios continuos, a otros nodos, a otras redes o, a otros servicios y aplicaciones. En este contexto, el objetivo principal de esta tesis doctoral se centra en el estudio del problema de conectividad IoT, más concretamente en el desarrollo de modelos para el análisis y gestión de la Resiliencia, llevado a la práctica a través de las redes WSN, con el fin de mejorar la capacidad la tolerancia a fallos de los nodos que componen la red. Este reto se aborda teniendo en cuenta dos enfoques distintos, por una parte, a diferencia de otro tipo de redes de dispositivos convencionales, los nodos en una red IoT son propensos a perder la conexión, debido a que se despliegan en entornos aislados, o en entornos con condiciones extremas; por otra parte, los nodos suelen ser recursos con bajas capacidades en términos de procesamiento, almacenamiento y batería, entre otros, por lo que requiere que el diseño de la gestión de su resiliencia sea ligero, distribuido y energéticamente eficiente. En este sentido, esta tesis desarrolla técnicas auto-adaptativas que permiten a una red IoT, desde la perspectiva del control de su topología, ser resiliente ante fallos en sus nodos. Para ello, se utilizan técnicas basadas en lógica difusa y técnicas de control proporcional, integral y derivativa (PID - "proportional-integral-derivative"), con el objeto de mejorar la conectividad de la red, teniendo en cuenta que el consumo de energía debe preservarse tanto como sea posible. De igual manera, se ha tenido en cuenta que el algoritmo de control debe ser distribuido debido a que, en general, los enfoques centralizados no suelen ser factibles a despliegues a gran escala. El presente trabajo de tesis implica varios retos que conciernen a la conectividad de red, entre los que se incluyen: la creación y el análisis de modelos matemáticos que describan la red, una propuesta de sistema de control auto-adaptativo en respuesta a fallos en los nodos, la optimización de los parámetros del sistema de control, la validación mediante una implementación siguiendo un enfoque de ingeniería del software y finalmente la evaluación en una aplicación real. Atendiendo a los retos anteriormente mencionados, el presente trabajo justifica, mediante una análisis matemático, la relación existente entre el "grado de un nodo" (definido como el número de nodos en la vecindad del nodo en cuestión) y la conectividad de la red, y prueba la eficacia de varios tipos de controladores que permiten ajustar la potencia de trasmisión de los nodos de red en respuesta a eventuales fallos, teniendo en cuenta el consumo de energía como parte de los objetivos de control. Así mismo, este trabajo realiza una evaluación y comparación con otros algoritmos representativos; en donde se demuestra que el enfoque desarrollado es más tolerante a fallos aleatorios en los nodos de la red, así como en su eficiencia energética. Adicionalmente, el uso de algoritmos bioinspirados ha permitido la optimización de los parámetros de control de redes dinámicas de gran tamaño. Con respecto a la implementación en un sistema real, se han integrado las propuestas de esta tesis en un modelo de programación OSGi ("Open Services Gateway Initiative") con el objeto de crear un middleware auto-adaptativo que mejore la gestión de la resiliencia, especialmente la reconfiguración en tiempo de ejecución de componentes software cuando se ha producido un fallo. Como conclusión, los resultados de esta tesis doctoral contribuyen a la investigación teórica y, a la aplicación práctica del control resiliente de la topología en redes distribuidas de gran tamaño. Los diseños y algoritmos presentados pueden ser vistos como una prueba novedosa de algunas técnicas para la próxima era de IoT. A continuación, se enuncian de forma resumida las principales contribuciones de esta tesis: (1) Se han analizado matemáticamente propiedades relacionadas con la conectividad de la red. Se estudia, por ejemplo, cómo varía la probabilidad de conexión de la red al modificar el alcance de comunicación de los nodos, así como cuál es el mínimo número de nodos que hay que añadir al sistema desconectado para su re-conexión. (2) Se han propuesto sistemas de control basados en lógica difusa para alcanzar el grado de los nodos deseado, manteniendo la conectividad completa de la red. Se han evaluado diferentes tipos de controladores basados en lógica difusa mediante simulaciones, y los resultados se han comparado con otros algoritmos representativos. (3) Se ha investigado más a fondo, dando un enfoque más simple y aplicable, el sistema de control de doble bucle, y sus parámetros de control se han optimizado empleando algoritmos heurísticos como el método de la entropía cruzada (CE, "Cross Entropy"), la optimización por enjambre de partículas (PSO, "Particle Swarm Optimization"), y la evolución diferencial (DE, "Differential Evolution"). (4) Se han evaluado mediante simulación, la mayoría de los diseños aquí presentados; además, parte de los trabajos se han implementado y validado en una aplicación real combinando técnicas de software auto-adaptativo, como por ejemplo las de una arquitectura orientada a servicios (SOA, "Service-Oriented Architecture"). ABSTRACT The advent of the Internet of Things (IoT) enables a tremendous number of applications, such as forest monitoring, disaster management, home automation, factory automation, smart city, etc. However, various kinds of unexpected disturbances may cause node failure in the IoT, for example battery depletion, software/hardware malfunction issues and malicious attacks. So, it can be considered that the IoT is prone to failure. The ability of the network to recover from unexpected internal and external failures is known as "resilience" of the network. Resilience usually serves as an important non-functional requirement when designing IoT, which can further be broken down into "self-*" properties, such as self-adaptive, self-healing, self-configuring, self-optimization, etc. One of the consequences that node failure brings to the IoT is that some nodes may be disconnected from others, such that they are not capable of providing continuous services for other nodes, networks, and applications. In this sense, the main objective of this dissertation focuses on the IoT connectivity problem. A network is regarded as connected if any pair of different nodes can communicate with each other either directly or via a limited number of intermediate nodes. More specifically, this thesis focuses on the development of models for analysis and management of resilience, implemented through the Wireless Sensor Networks (WSNs), which is a challenging task. On the one hand, unlike other conventional network devices, nodes in the IoT are more likely to be disconnected from each other due to their deployment in a hostile or isolated environment. On the other hand, nodes are resource-constrained in terms of limited processing capability, storage and battery capacity, which requires that the design of the resilience management for IoT has to be lightweight, distributed and energy-efficient. In this context, the thesis presents self-adaptive techniques for IoT, with the aim of making the IoT resilient against node failures from the network topology control point of view. The fuzzy-logic and proportional-integral-derivative (PID) control techniques are leveraged to improve the network connectivity of the IoT in response to node failures, meanwhile taking into consideration that energy consumption must be preserved as much as possible. The control algorithm itself is designed to be distributed, because the centralized approaches are usually not feasible in large scale IoT deployments. The thesis involves various aspects concerning network connectivity, including: creation and analysis of mathematical models describing the network, proposing self-adaptive control systems in response to node failures, control system parameter optimization, implementation using the software engineering approach, and evaluation in a real application. This thesis also justifies the relations between the "node degree" (the number of neighbor(s) of a node) and network connectivity through mathematic analysis, and proves the effectiveness of various types of controllers that can adjust power transmission of the IoT nodes in response to node failures. The controllers also take into consideration the energy consumption as part of the control goals. The evaluation is performed and comparison is made with other representative algorithms. The simulation results show that the proposals in this thesis can tolerate more random node failures and save more energy when compared with those representative algorithms. Additionally, the simulations demonstrate that the use of the bio-inspired algorithms allows optimizing the parameters of the controller. With respect to the implementation in a real system, the programming model called OSGi (Open Service Gateway Initiative) is integrated with the proposals in order to create a self-adaptive middleware, especially reconfiguring the software components at runtime when failures occur. The outcomes of this thesis contribute to theoretic research and practical applications of resilient topology control for large and distributed networks. The presented controller designs and optimization algorithms can be viewed as novel trials of the control and optimization techniques for the coming era of the IoT. The contributions of this thesis can be summarized as follows: (1) Mathematically, the fault-tolerant probability of a large-scale stochastic network is analyzed. It is studied how the probability of network connectivity depends on the communication range of the nodes, and what is the minimum number of neighbors to be added for network re-connection. (2) A fuzzy-logic control system is proposed, which obtains the desired node degree and in turn maintains the network connectivity when it is subject to node failures. There are different types of fuzzy-logic controllers evaluated by simulations, and the results demonstrate the improvement of fault-tolerant capability as compared to some other representative algorithms. (3) A simpler but more applicable approach, the two-loop control system is further investigated, and its control parameters are optimized by using some heuristic algorithms such as Cross Entropy (CE), Particle Swarm Optimization (PSO), and Differential Evolution (DE). (4) Most of the designs are evaluated by means of simulations, but part of the proposals are implemented and tested in a real-world application by combining the self-adaptive software technique and the control algorithms which are presented in this thesis.

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This paper presents an adaptation of the Cross-Entropy (CE) method to optimize fuzzy logic controllers. The CE is a recently developed optimization method based on a general Monte-Carlo approach to combinatorial and continuous multi-extremal optimization and importance sampling. This work shows the application of this optimization method to optimize the inputs gains, the location and size of the different membership functions' sets of each variable, as well as the weight of each rule from the rule's base of a fuzzy logic controller (FLC). The control system approach presented in this work was designed to command the orientation of an unmanned aerial vehicle (UAV) to modify its trajectory for avoiding collisions. An onboard looking forward camera was used to sense the environment of the UAV. The information extracted by the image processing algorithm is the only input of the fuzzy control approach to avoid the collision with a predefined object. Real tests with a quadrotor have been done to corroborate the improved behavior of the optimized controllers at different stages of the optimization process.

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In the field of industrial automation, there is an increasing need to use optimal control systems that have low tracking errors and low power and energy consumption. The motors we are dealing with are mainly Permanent Magnet Synchronous Motors (PMSMs), controlled by 3 different types of controllers: a position controller, a speed controller, and a current controller. In this thesis, therefore, we are going to act on the gains of the first two controllers by going to find, through the TwinCAT 3 software, what might be the best set of parameters. To do this, starting with the default parameters recommended by TwinCAT, two main methods were used and then compared: the method of Ziegler and Nichols, which is a tabular method, and advanced tuning, an auto-tuning software method of TwinCAT. Therefore, in order to analyse which set of parameters was the best,several experiments were performed for each case, using the Motion Control Function Blocks. Moreover, some machines, such as large robotic arms, have vibration problems. To analyse them in detail, it was necessary to use the Bode Plot tool, which, through Bode plots, highlights in which frequencies there are resonance and anti-resonance peaks. This tool also makes it easier to figure out which and where to apply filters to improve control.

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Safety Instrumented Systems (SIS) are designed to prevent and / or mitigate accidents, avoiding undesirable high potential risk scenarios, assuring protection of people`s health, protecting the environment and saving costs of industrial equipment. The design of these systems require formal methods for ensuring the safety requirements, but according material published in this area, has not identified a consolidated procedure to match the task. This sense, this article introduces a formal method for diagnosis and treatment of critical faults based on Bayesian network (BN) and Petri net (PN). This approach considers diagnosis and treatment for each safety instrumented function (SIF) including hazard and operability (HAZOP) study in the equipment or system under control. It also uses BN and Behavioral Petri net (BPN) for diagnoses and decision-making and the PN for the synthesis, modeling and control to be implemented by Safety Programmable Logic Controller (PLC). An application example considering the diagnosis and treatment of critical faults is presented and illustrates the methodology proposed.

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Esta dissertação propõe um algoritmo do Controlador Preditivo Generalizado (GPC) com horizonte de controle igual a um para ser aplicado em plantas industriais com modelos variantes no tempo, simples o su ficiente para ser implementado em Controlador Lógico Programável (PLC). A solução explícita do controlador é obtida em função dos parâmetros do modelo e dos parâmetros de sintonia do GPC (horizonte nal de predição hp e o fator de supressão do sinal de controle ), além das entradas e saídas presentes e passadas. A sintonia do fator de supressão e do horizonte de previsão GPC é feita através do lugar das raízes da equação característica do sistema em malha fechada, sempre que os parâmetros do modelo da planta industrial (estável ou instável em malha aberta) forem modificados.

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Hyperspectral instruments have been incorporated in satellite missions, providing large amounts of data of high spectral resolution of the Earth surface. This data can be used in remote sensing applications that often require a real-time or near-real-time response. To avoid delays between hyperspectral image acquisition and its interpretation, the last usually done on a ground station, onboard systems have emerged to process data, reducing the volume of information to transfer from the satellite to the ground station. For this purpose, compact reconfigurable hardware modules, such as field-programmable gate arrays (FPGAs), are widely used. This paper proposes an FPGA-based architecture for hyperspectral unmixing. This method based on the vertex component analysis (VCA) and it works without a dimensionality reduction preprocessing step. The architecture has been designed for a low-cost Xilinx Zynq board with a Zynq-7020 system-on-chip FPGA-based on the Artix-7 FPGA programmable logic and tested using real hyperspectral data. Experimental results indicate that the proposed implementation can achieve real-time processing, while maintaining the methods accuracy, which indicate the potential of the proposed platform to implement high-performance, low-cost embedded systems, opening perspectives for onboard hyperspectral image processing.

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O veículo guiado automaticamente (AGV) adquirido pelo Departamento de Engenharia Mecânica (DEM) tem vindo a ficar obsoleto devido ao hardware, que nos dias de hoje começa a dar sinais de falhas bem como falta de peças de substituição, e ao software, sendo o PLC (Programmable Logic Controller) usado muito limitado quanto às suas funções de controlo, ficando as principais tarefas de controlo do AGV a cargo de placas eletrónicas de controlo. Para promover o controlo autónomo do AGV, foi decidido retirar toda a parte de hardware que detinha o controlo do mesmo e passou a ser um novo PLC, com maior capacidade de processamento, a executar todo o tipo de controlo necessário ao funcionamento do mesmo. O hardware considerado apenas incluí, de forma resumida, os motores responsáveis pelo movimento e direção, placa de controlo de potência dos motores, placa de interface entre as saídas digitais do PLC e as entradas da placa de controlo de potência dos motores e os demais sensores necessários à deteção de obstáculos, fins de curso da direção, sensores dos postos de trabalho e avisadores de emergência. Todo o controlo de movimento e direção bem como a seleção das ações a executar passou a ficar a cargo do software programado no PLC assim como a interação entre o sistema de supervisão instalado num posto de controlo e o PLC através de comunicação via rádio. O uso do PLC permitiu a flexibilidade de mudar facilmente a forma como as saídas digitais são usadas, ao contrário de um circuito eletrónico que necessita de uma completa remodelação, tempo de testes e implementação para efetuar a mesma função. O uso de um microcontrolador seria igualmente viável para a aplicação em causa, no entanto o uso do PLC tem a vantagem de ser robusto, mais rápido na velocidade de processamento, existência de software de interface de programação bastante intuitivo e de livre acesso, facilidade de alterar a programação localmente ou remotamente, via rádio, acesso a vários protocolos de comunicação robustos como Modbus, Canbus, Profinet, Modnet, etc., e acesso integrado de uma consola gráfica totalmente programável. iv É ainda possível a sua expansão com adição de módulos de entradas e saídas digitais e/ou analógicas permitindo expandir largamente o uso do AGV para outros fins. A solução está a ser amplamente testada e validada no Laboratório de Automação (LabA) do Departamento de Engenharia Mecânica do ISEP (Instituto Superior de Engenharia do Porto), permitindo a otimização dos sistemas de controlo de direção bem como a interatividade entre o PLC e o programa de interface/supervisão do posto de trabalho.

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A crescente evolução dos dispositivos contendo circuitos integrados, em especial os FPGAs (Field Programmable Logic Arrays) e atualmente os System on a chip (SoCs) baseados em FPGAs, juntamente com a evolução das ferramentas, tem deixado um espaço entre o lançamento e a produção de materiais didáticos que auxiliem os engenheiros no Co- Projecto de hardware/software a partir dessas tecnologias. Com o intuito de auxiliar na redução desse intervalo temporal, o presente trabalho apresenta o desenvolvimento de documentos (tutoriais) direcionados a duas tecnologias recentes: a ferramenta de desenvolvimento de hardware/software VIVADO; e o SoC Zynq-7000, Z-7010, ambos desenvolvidos pela Xilinx. Os documentos produzidos são baseados num projeto básico totalmente implementado em lógica programável e do mesmo projeto implementado através do processador programável embarcado, para que seja possível avaliar o fluxo de projeto da ferramenta para um projeto totalmente implementado em hardware e o fluxo de projeto para o mesmo projeto implementado numa estrutura de harware/software.

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The main goal of the present Master’s Thesis project was to create a field-programmable gate array (FPGA) based system for the control of single-electron transistors or other cryoelectronic devices. The FPGA and similar technologies are studied in the present work. The fixed and programmable logic are compared with each other. The main features and limitations of the hardware used in the project are investigated. The hardware and software connections of the device to the computer are shown in detail. The software development techniques for FPGA-based design are described. The steps of design for programmable logic are considered. Furthermore, the results of filters implemented in the software are illustrated.

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Tämä kandityön aihe liittyy LUT Energialla lukuvuonna 2012 – 2013 käynnissä olevaan tutkimukseen, jossa tutkitaan sähkömoottorin laakerivirtojen syntyä. Tätä tutkimusta varten tarvittiin sähkömoottorin etäohjausjärjestelmä, jonka avulla tutkimuksessa käytettävän sähkömoottorin käyttäytymistä voitaisiin tutkia erilaisien käyttöprofiileiden funktiona. Tässä kandityössä suunnitellaan ja toteutetaan edellä kuvattu järjestelmä. Toteutuksessa hyödynnetään nykyaikaista automaatiotekniikkaa, joka yhdessä Ethernet-lähiverkkotekniikan kanssa mahdollistaa etäohjauksen. Valmiin etäohjausjärjestelmän avulla käyttäjä pystyy sekä käynnistämään että sammuttamaan sähkömoottorin, ja määrittämään käyttöprofiilin ON- ja OFF-tilojen ajalliset kestot sekä käyntinopeudet.

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Rakennusautomaatiossa tulee esiin sovelluksia, joissa järjestelmän ohjaus-, säätö- tai valvontaratkaisun toteuttaminen ohjelmoitavilla logiikoilla ei ole riittävän edullista. Tällöin vaihtoehtona on oman laitteen suunnittelu. Työn tavoitteena oli suunnitella ja toteuttaa kustannustehokas CAN-väylään liitettävä vapaasti ohjelmoitava automaatioyksikkö. Suunnittelua ohjasivat asiakkaan laatimat vaatimusmäärittelyt. Niistä laitteen konfigurointimahdollisuudet ja piirilevyn tavoitekoko asettivat suurimmat haasteet laitteen suunnittelulle. Työn tuloksena toteutettiin asiakkaan tarpeisiin soveltuva automaatioyksikkö. Tavoitteisiin päästiin komponenttivalinnoilla ja hyödyntämällä tehokkaasti mikro-ohjaimen integroituja ominaisuuksia. Näiden avulla pystyttiin karsimaan monia yksiköitä, joita tavanomaisesti toteutetaan erilliskomponenteilla. Työssä perehdyttiin sulautetun järjestelmän elektroniikan tuotekehitysprosessiin ideasta prototyyppiin. Samalla on kuvailtu valittuja ratkaisuja sekä suunnittelussa tapahtuneita virheitä ja miten ne on ratkaistu.

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Aktiivinen magneettilaakeri on järjestelmä joka mahdollistaa pyörivän kappaleen, esimerkiksi sähkökoneen roottorin, leijuttamisen magneettikentässä ilman fyysistä kontaktia vastakappaleiden välillä. Tekniikalla on joitain merkittäviä etuja muihin laakerointijärjestelmiin verrattuna erityisesti suurnopeuksisissa tai puhdastiloissa käytettävissä sähkökäytöissä. Magneettilaakereiden yleistymistä nopeuttaisi ja niiden hintaa laskisi mikäli laakereiden säätöön ja tehonsyöttöön voitaisiin käyttää standardeja teollisuusautomaatiolaitteita erityisesti tätä käyttötarkoitusta varten kehitettyjen laitteiden sijaan. Tässä työssä luodaan menetelmä määrittää vähimmäisvaatimukset aktiivisen magneettilaakerin säätöalgoritmien suorittamiseen käytetylle säätöjärjestelmälle ja anturoinnille sekä laakerin toimintaan tarvittavalle tehoelektroniikalle. Näiden vaatimusten perusteella luodaan katsaus soveltuviin laitteisiin ja kootaan esimerkkikokoonpanot kahdelle erilaiselle magneettilaakeroitavalle kohteelle. Lisäksi työssä esitellään LUT:ssa vuosina 2014-2015 kehitetty magneettilaakerin teholähdeprototyyppi ja selvitetään edellytykset käyttää laitetta laakerijärjestelmän osana.

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Decimal multiplication is an integral part of financial, commercial, and internet-based computations. This paper presents a novel double digit decimal multiplication (DDDM) technique that performs 2 digit multiplications simultaneously in one clock cycle. This design offers low latency and high throughput. When multiplying two n-digit operands to produce a 2n-digit product, the design has a latency of (n / 2) 1 cycles. The paper presents area and delay comparisons for 7-digit, 16-digit, 34-digit double digit decimal multipliers on different families of Xilinx, Altera, Actel and Quick Logic FPGAs. The multipliers presented can be extended to support decimal floating-point multiplication for IEEE P754 standard