Modelling and Control of Stepper Motors for High Accuracy Positioning Systems Used in Radioactive Environments

Hybrid Stepper Motors are widely used in open-loop position applications. They are the choice of actuation for the collimators in the Large Hadron Collider, the largest particle accelerator at CERN. In this case the positioning requirements and the highly radioactive operating environment are unique. The latter forces both the use of long cables to connect the motors to the drives which act as transmission lines and also prevents the use of standard position sensors. However, reliable and precise operation of the collimators is critical for the machine, requiring the prevention of step loss in the motors and maintenance to be foreseen in case of mechanical degradation. In order to make the above possible, an approach is proposed for the application of an Extended Kalman Filter to a sensorless stepper motor drive, when the motor is separated from its drive by long cables. When the long cables and high frequency pulse width modulated control voltage signals are used together, the electrical signals difer greatly between the motor and drive-side of the cable. Since in the considered case only drive-side data is available, it is therefore necessary to estimate the motor-side signals. Modelling the entire cable and motor system in an Extended Kalman Filter is too computationally intensive for standard embedded real-time platforms. It is, in consequence, proposed to divide the problem into an Extended Kalman Filter, based only on the motor model, and separated motor-side signal estimators, the combination of which is less demanding computationally. The efectiveness of this approach is shown in simulation. Then its validity is experimentally demonstrated via implementation in a DSP based drive. A testbench to test its performance when driving an axis of a Large Hadron Collider collimator is presented along with the results achieved. It is shown that the proposed method is capable of achieving position and load torque estimates which allow step loss to be detected and mechanical degradation to be evaluated without the need for physical sensors. These estimation algorithms often require a precise model of the motor, but the standard electrical model used for hybrid stepper motors is limited when currents, which are high enough to produce saturation of the magnetic circuit, are present. New model extensions are proposed in order to have a more precise model of the motor independently of the current level, whilst maintaining a low computational cost. It is shown that a significant improvement in the model It is achieved with these extensions, and their computational performance is compared to study the cost of model improvement versus computation cost. The applicability of the proposed model extensions is demonstrated via their use in an Extended Kalman Filter running in real-time for closed-loop current control and mechanical state estimation. An additional problem arises from the use of stepper motors. The mechanics of the collimators can wear due to the abrupt motion and torque profiles that are applied by them when used in the standard way, i.e. stepping in open-loop. Closed-loop position control, more specifically Field Oriented Control, would allow smoother profiles, more respectful to the mechanics, to be applied but requires position feedback. As mentioned already, the use of sensors in radioactive environments is very limited for reliability reasons. Sensorless control is a known option but when the speed is very low or zero, as is the case most of the time for the motors used in the LHC collimator, the loss of observability prevents its use. In order to allow the use of position sensors without reducing the long term reliability of the whole system, the possibility to switch from closed to open loop is proposed and validated, allowing the use of closed-loop control when the position sensors function correctly and open-loop when there is a sensor failure. A different approach to deal with the switched drive working with long cables is also presented. Switched mode stepper motor drives tend to have poor performance or even fail completely when the motor is fed through a long cable due to the high oscillations in the drive-side current. The design of a stepper motor output fillter which solves this problem is thus proposed. A two stage filter, one devoted to dealing with the diferential mode and the other with the common mode, is designed and validated experimentally. With this ?lter the drive performance is greatly improved, achieving a positioning repeatability even better than with the drive working without a long cable, the radiated emissions are reduced and the overvoltages at the motor terminals are eliminated.

Análisis paramétrico de transiciones a bocinas

Las transiciones en guía de onda son las estructuras utilizadas en microondas para transferir y adaptar la señal que viaja en un determinado sistema de transmisión (por ejemplo, un cable coaxial) a otro sistema de transmisión o a un sistema radiante (por ejemplo, una antena de bocina). Los dos sistemas de transmisión entre los que la transición adapta la señal pueden ser distintos o del mismo tipo pero con alguna de sus dimensiones diferente. Existen diferentes transiciones de guía de onda que dependiendo de su utilidad son diseñadas y construidas con diferentes secciones: circular, rectangular, elíptica o incluso combinaciones de éstas. No es necesario que la sección de la guía presente una forma geométrica conocida pero los estándares que se van a seguir hacen referencia en concreto a secciones rectangulares y circulares. En el trabajo que aquí se desarrolla se pretende optimizar por medio de simulaciones paramétricas una transición entre cable coaxial con conector tipo K y una guía de onda de sección circular que sigue el estándar presentado por Flann, Millitech y Antarfs para la banda WR34. La transición que va a ser objeto de este estudio se denomina transición tapered o transición conformada. Este tipo de transiciones se caracterizan por variar una de sus dimensiones progresivamente hasta llegar al tamaño definido en el estándar correspondiente. La manera de realizar la optimización de la transición se basará en el estudio del parámetro S11 que presente la estructura a lo largo de la banda de trabajo. Ya que se sigue el estándar WR34 la banda de trabajo que éste comprende va de 21,7 a 33 GHz. Se pretende conseguir que la respuesta del parámetro S11 se encuentre por debajo de -20 dB en la banda de WR34 como resultado del diseño para poder contar de esta manera con una buena adaptación. Finalmente se propondrá un criterio a seguir para optimizar este tipo de transiciones siguiendo el objetivo de mejor adaptación teniendo en cuenta el impacto de cada tramo sobre el rango de frecuencias en el que influye y se presentarán las características finales que presenta la transición bajo estudio. En este documento se introduce de manera breve la utilidad de los transformadores de impedancias lambda cuartos en líneas de transmisión, el estado del arte de las diferentes técnicas para su diseño, y la propuesta de diseño y caracterización objeto del presente trabajo. Posteriormente, se presenta el caso de estudio para el diseño de la transición para ser integrada a una bocina de choke. Luego, se introduce el marco teórico del trabajo presentando algunos ejemplos ilustrativos de tramos de guía de onda rectangular y guía de onda circular, introduciendo adaptadores de λ/4 en simulaciones. A continuación, se explica la implementación del modelo bajo estudio en CST (Computer Simulation Technology) Studio Suite. Finalmente se presenta la discusión de los resultados obtenidos, las conclusiones y líneas futuras de trabajo. ABSTRACT. Waveguide transitions are structures used in microwave in order to transfer and adapt the signal that travels from a certain transmission system (e.g. coaxial cable) to other transmission system or to a radiant system (e.g. horn antenna). Both transmission systems between which the transition adapts the signal can be different or from the same type, but with differences in some of their dimensions. There are different waveguide transitions that, depending on their utility, are designed and constructed in different sections: circular, rectangular, elliptic or combinations of the former. The section of the guide does not have to have a known geometric shape, although the standards to be followed in this thesis apply to rectangular and circular sections. In the work here presented, we aim to optimize by means of parametric simulations, a transition between a coaxial cable with a K-type connector and a waveguide with circular section following the standard presented by Flann, Millitech y Antarfs for the band WR34. The transition studied is called tapered transition, which is characterized by the progressive variation of its dimensions, until reaching the defined size of the corresponding standard. The way of optimizing the transition will be based in the study of the parameter S11 presented by the structure along the bandwidth. Since the standard used is the WR34, the bandwidth can be defined from 21.7 up to 33 GHz. It is aimed that the response of the S11 parameter be lower equal than -20dB in the frequency band under study according to the design in order to be well matched. Finally, a criterion to follow is proposed in order to optimize these transitions type, following the better-match objective. That will be done taking into account the impact of each section on the frequency range in which influences and the final characteristics of the studied transition will be presented. In this document, it is briefly introduced the utility of quarter-wave impedance transformers in transmission lines, the state-of-art of the different techniques for their design, and the proposal of design and characterization aimed with this work. Afterwards, the study case for the design of the transition to be integrated with a choke horn antenna will be presented. Later, the theoretical frame work is introduced, giving some illustrative examples of rectangular and circular waveguide sections, and also introducing λ/4 adaptors in the simulations. Subsequently, the implementation of the model under study in CST (Computer Simulation Technology) Studio Suite will be explained. Finally, the discussion of the results, conclusion and future lines of the work are presented.

Ajuste e ensaio de sistemas de proteção de geradores síncronos.

Os sistemas de proteção dos elementos da rede elétrica desempenham um papel de fundamental importância na segurança e confiabilidade dos sistemas de potência. A não atuação ou a atuação incorreta dos relés de proteção durante uma falta localizada em um componente da rede pode transformar-se em um evento sistêmico de grandes proporções (blecaute). Esses eventos trazem riscos e elevados prejuízos econômicos à sociedade. A proteção dos geradores síncronos, apesar do alto custo e complexidade deste tipo de equipamento, não recebe a mesma atenção na literatura que a dedicada à proteção de outros elementos da rede, como, por exemplo, a das linhas de transmissão. Isso decorre do menor número de geradores existentes na rede e também da ideia que as faltas neste tipo de equipamento são menos frequentes. Este trabalho aborda os principais aspectos envolvidos com o projeto de um sistema de proteção para geradores síncronos de grande porte. Incialmente, discutese os principais conceitos associados com os geradores, de interesse para a tarefa de proteção. Particular atenção é dedicada às formas de aterramento e aos critérios adotados para projeto do resistor de aterramento utilizado nesse equipamento. Em seguida, apresentam-se as principais funções de proteção aplicáveis aos geradores, particularmente aquelas voltadas para a detecção de faltas nos enrolamentos do estator. Discute-se também os critérios de ajustes dos parâmetros dessas funções. Descreve-se o uso de uma plataforma laboratorial, baseada em simulador de tempo real (RTDS), para ensaio e análise do sistema de proteção visando validar seu correto desempenho frente às possíveis condições operativas que podem ser encontradas em campo. Finalmente, utilizando os conceitos desenvolvidos ao longo do trabalho, desenvolve-se um estudo de caso, onde é realizado o projeto e implementação do sistema de proteção dos geradores de uma usina hidrelétrica hipotética. Para avaliar e analisar o desempenho do sistema de proteção dessa rede exemplo, parametrizou-se o IED G60 (GE) e realizou-se inúmeras simulações na plataforma de testes proposta.

Localização de usinas termoelétricas utilizando Sistema de Informação Geográfica e métodos de decisão multicritério

No setor de energia elétrica, a área que se dedica ao estudo da inserção de novos parques geradores de energia no sistema é denominada planejamento da expansão da geração. Nesta área, as decisões de localização e instalação de novas usinas devem ser amplamente analisadas, a fim de se obter os diversos cenários proporcionados pelas alternativas geradas. Por uma série de fatores, o sistema de geração elétrico brasileiro, com predominância hidroelétrica, tende a ser gradualmente alterada pela inserção de usinas termoelétricas (UTEs). O problema de localização de UTEs envolve um grande número de variáveis através do qual deve ser possível analisar a importância e contribuição de cada uma. O objetivo geral deste trabalho é o desenvolvimento de um modelo de localização de usinas termoelétricas, aqui denominado SIGTE (Sistema de Informação Geográfica para Geração Termoelétrica), o qual integra as funcionalidades das ferramentas SIGs (Sistemas de Informação Geográfica) e dos métodos de decisão multicritério. A partir de uma visão global da área estudada, as componentes espaciais do problema (localização dos municípios, tipos de transporte, linhas de transmissão de diferentes tensões, áreas de preservação ambiental, etc.) podem ter uma representação mais próxima da realidade e critérios ambientais podem ser incluídos na análise. Além disso, o SIGTE permite a inserção de novas variáveis de decisão sem prejuízo da abordagem. O modelo desenvolvido foi aplicado para a realidade do Estado de São Paulo, mas deixando claro a viabilidade de uso do modelo para outro sistema ou região, com a devida atualização dos bancos de dados correspondentes. Este modelo é designado para auxiliar empreendedores que venham a ter interesse em construir uma usina ou órgãos governamentais que possuem a função de avaliar e deferir ou não a licença de instalação e operação de usinas.

El tratado de Teodomiro en su contexto histórico y paleográfico

Tras una revisión de nuestros conocimientos sobre la escritura en árabe en el año de la firma del tratado de Teodomiro, llegamos a la conclusión que estaba en desarrollo este proceso de escritura y que aún no se escribían los puntos diacríticos en las consonantes. Al hilo de ello, el objetivo principal ha sido hacer una relectura de los dos manuscritos principales representativos de las líneas de transmisión del tratado: el de al-‘Uḏrī y el de al-Ḍabbī. Finalmente, se propone un stemma de transmisión de sus textos.

Análisis de las dos líneas de transmisión del tratado de Tudmīr (94 H./713 e.C.)

Los dos textos principales de las líneas de transmisión del tratado de Tudmīr (94 H/713 e.C.), incluidos por al-‘Uḏrī y al-Ḍabbī en sus respectivas obras, son editados y traducidos en base a la relectura de los manuscritos que los contienen y de ello se extraen una serie de conclusiones sobre su proceso de copia. Luego son comparados los dos textos entre sí y se enumeran una serie de diferencias textuales. Finalmente, como hipótesis interpretativa se propone que el texto de al-‘Uḏrī es el más antiguo, y habría sido copiado de un traslado del original por su autor, mientras que la transmisión de al-Ḍabbī habría sido más reciente y se habría fundado en otra fuente más antigua que habría puesto por escrito un relato oral del texto.

Gakara region, Burundi, 1994, Defense Mapping Agency (DMA) Series Z724, Sheet 4673-I (Raster Image)

This layer is a georeferenced raster image of the United States Defense Mapping Agency (DMA) Series Z724, Burundi, 1:50,000 Topographic Line Map (TLM) Series sheet map entitled: Gakara. Printed in: 1994. Covers portions of Gakara region, Burundi. Sheet: 4673-I. Edition statement: Ed. 1 - DMA. The image inside the map neatline is georeferenced to the surface of the earth and fit to World Geodetic System (1984) coordinates. All map collar information is also available as part of the raster image. Burundi 1:50:000 Series Z724 maps are in English and French (legends also include Rundi). Each source map in the series is printed in color at a scale of 1:50,000. Series source sheets were published in 1994-1995 by the United States Defense Mapping Agency, Hydrographic/Topographic Center. The source map was scanned and georeferenced for Harvard University's Center for Geographic Analysis' AfricaMap project by East View Cartographic. Individual TLM sheets covering Burundi (40 sheets in total) were selected from the TLM worldwide series. DMA Topographic Line Map series maps are typical topographic maps portraying both natural and manmade features. They show and name works of nature, such as mountains, valleys, lakes, rivers, vegetation, etc. They also identify the principal works of humans, such as roads, railroads, boundaries, transmission lines, major buildings, etc. Relief is shown with standard contour intervals of 20 meters, with some sheets having supplemental meter contours, form lines, hachures, shading, and/or spot heights. Depths shown by bathymetric isolines. Please pay close attention to map collar information on projections, spheroid, compilation dates, legend information, and keys to grid numbering and other numbers which appear inside the neatline.

Bubanza region, Burundi, 1994, Defense Mapping Agency (DMA) Series Z724, Sheet 4674-I (Raster Image)

This layer is a georeferenced raster image of the United States Defense Mapping Agency (DMA) Series Z724, Burundi, 1:50,000 Topographic Line Map (TLM) Series sheet map entitled: Bubanza. Printed in: 1994. Covers portions of Bubanza region, Burundi. Sheet: 4674-I. Edition statement: Ed. 1 - DMA. The image inside the map neatline is georeferenced to the surface of the earth and fit to World Geodetic System (1984) coordinates. All map collar information is also available as part of the raster image. Burundi 1:50:000 Series Z724 maps are in English and French (legends also include Rundi). Each source map in the series is printed in color at a scale of 1:50,000. Series source sheets were published in 1994-1995 by the United States Defense Mapping Agency, Hydrographic/Topographic Center. The source map was scanned and georeferenced for Harvard University's Center for Geographic Analysis' AfricaMap project by East View Cartographic. Individual TLM sheets covering Burundi (40 sheets in total) were selected from the TLM worldwide series. DMA Topographic Line Map series maps are typical topographic maps portraying both natural and manmade features. They show and name works of nature, such as mountains, valleys, lakes, rivers, vegetation, etc. They also identify the principal works of humans, such as roads, railroads, boundaries, transmission lines, major buildings, etc. Relief is shown with standard contour intervals of 20 meters, with some sheets having supplemental meter contours, form lines, hachures, shading, and/or spot heights. Depths shown by bathymetric isolines. Please pay close attention to map collar information on projections, spheroid, compilation dates, legend information, and keys to grid numbering and other numbers which appear inside the neatline.

Bujumbura region, Burundi, 1994, Defense Mapping Agency (DMA) Series Z724, Sheet 4674-II (Raster Image)

This layer is a georeferenced raster image of the United States Defense Mapping Agency (DMA) Series Z724, Burundi, 1:50,000 Topographic Line Map (TLM) Series sheet map entitled: Bujumbura. Printed in: 1994. Covers portions of Bujumbura region, Burundi. Sheet: 4674-II. Edition statement: Ed. 1 - DMA. The image inside the map neatline is georeferenced to the surface of the earth and fit to World Geodetic System (1984) coordinates. All map collar information is also available as part of the raster image. Burundi 1:50:000 Series Z724 maps are in English and French (legends also include Rundi). Each source map in the series is printed in color at a scale of 1:50,000. Series source sheets were published in 1994-1995 by the United States Defense Mapping Agency, Hydrographic/Topographic Center. The source map was scanned and georeferenced for Harvard University's Center for Geographic Analysis' AfricaMap project by East View Cartographic. Individual TLM sheets covering Burundi (40 sheets in total) were selected from the TLM worldwide series. DMA Topographic Line Map series maps are typical topographic maps portraying both natural and manmade features. They show and name works of nature, such as mountains, valleys, lakes, rivers, vegetation, etc. They also identify the principal works of humans, such as roads, railroads, boundaries, transmission lines, major buildings, etc. Relief is shown with standard contour intervals of 20 meters, with some sheets having supplemental meter contours, form lines, hachures, shading, and/or spot heights. Depths shown by bathymetric isolines. Please pay close attention to map collar information on projections, spheroid, compilation dates, legend information, and keys to grid numbering and other numbers which appear inside the neatline.

Butahana region, Burundi, 1994, Defense Mapping Agency (DMA) Series Z724, Sheet 4675-I (Raster Image)

This layer is a georeferenced raster image of the United States Defense Mapping Agency (DMA) Series Z724, Burundi, 1:50,000 Topographic Line Map (TLM) Series sheet map entitled: Butahana. Printed in: 1994. Covers portions of Butahana region, Burundi. Sheet: 4675-I. Edition statement: Ed. 1 - DMA. The image inside the map neatline is georeferenced to the surface of the earth and fit to World Geodetic System (1984) coordinates. All map collar information is also available as part of the raster image. Burundi 1:50:000 Series Z724 maps are in English and French (legends also include Rundi). Each source map in the series is printed in color at a scale of 1:50,000. Series source sheets were published in 1994-1995 by the United States Defense Mapping Agency, Hydrographic/Topographic Center. The source map was scanned and georeferenced for Harvard University's Center for Geographic Analysis' AfricaMap project by East View Cartographic. Individual TLM sheets covering Burundi (40 sheets in total) were selected from the TLM worldwide series. DMA Topographic Line Map series maps are typical topographic maps portraying both natural and manmade features. They show and name works of nature, such as mountains, valleys, lakes, rivers, vegetation, etc. They also identify the principal works of humans, such as roads, railroads, boundaries, transmission lines, major buildings, etc. Relief is shown with standard contour intervals of 20 meters, with some sheets having supplemental meter contours, form lines, hachures, shading, and/or spot heights. Depths shown by bathymetric isolines. Please pay close attention to map collar information on projections, spheroid, compilation dates, legend information, and keys to grid numbering and other numbers which appear inside the neatline.

Ndora region, Burundi, 1994, Defense Mapping Agency (DMA) Series Z724, Sheet 4675-II (Raster Image)

This layer is a georeferenced raster image of the United States Defense Mapping Agency (DMA) Series Z724, Burundi, 1:50,000 Topographic Line Map (TLM) Series sheet map entitled: Ndora. Printed in: 1994. Covers portions of Ndora region, Burundi. Sheet: 4675-II. Edition statement: Ed. 1 - DMA. The image inside the map neatline is georeferenced to the surface of the earth and fit to World Geodetic System (1984) coordinates. All map collar information is also available as part of the raster image. Burundi 1:50:000 Series Z724 maps are in English and French (legends also include Rundi). Each source map in the series is printed in color at a scale of 1:50,000. Series source sheets were published in 1994-1995 by the United States Defense Mapping Agency, Hydrographic/Topographic Center. The source map was scanned and georeferenced for Harvard University's Center for Geographic Analysis' AfricaMap project by East View Cartographic. Individual TLM sheets covering Burundi (40 sheets in total) were selected from the TLM worldwide series. DMA Topographic Line Map series maps are typical topographic maps portraying both natural and manmade features. They show and name works of nature, such as mountains, valleys, lakes, rivers, vegetation, etc. They also identify the principal works of humans, such as roads, railroads, boundaries, transmission lines, major buildings, etc. Relief is shown with standard contour intervals of 20 meters, with some sheets having supplemental meter contours, form lines, hachures, shading, and/or spot heights. Depths shown by bathymetric isolines. Please pay close attention to map collar information on projections, spheroid, compilation dates, legend information, and keys to grid numbering and other numbers which appear inside the neatline.

Cibitoke region, Burundi, 1994, Defense Mapping Agency (DMA) Series Z724, Sheet 4675-III (Raster Image)

This layer is a georeferenced raster image of the United States Defense Mapping Agency (DMA) Series Z724, Burundi, 1:50,000 Topographic Line Map (TLM) Series sheet map entitled: Cibitoke. Printed in: 1994. Covers portions of Cibitoke region, Burundi. Sheet: 4675-III. Edition statement: Ed. 1 - DMA. The image inside the map neatline is georeferenced to the surface of the earth and fit to World Geodetic System (1984) coordinates. All map collar information is also available as part of the raster image. Burundi 1:50:000 Series Z724 maps are in English and French (legends also include Rundi). Each source map in the series is printed in color at a scale of 1:50,000. Series source sheets were published in 1994-1995 by the United States Defense Mapping Agency, Hydrographic/Topographic Center. The source map was scanned and georeferenced for Harvard University's Center for Geographic Analysis' AfricaMap project by East View Cartographic. Individual TLM sheets covering Burundi (40 sheets in total) were selected from the TLM worldwide series. DMA Topographic Line Map series maps are typical topographic maps portraying both natural and manmade features. They show and name works of nature, such as mountains, valleys, lakes, rivers, vegetation, etc. They also identify the principal works of humans, such as roads, railroads, boundaries, transmission lines, major buildings, etc. Relief is shown with standard contour intervals of 20 meters, with some sheets having supplemental meter contours, form lines, hachures, shading, and/or spot heights. Depths shown by bathymetric isolines. Please pay close attention to map collar information on projections, spheroid, compilation dates, legend information, and keys to grid numbering and other numbers which appear inside the neatline.

Mabayi region, Burundi, 1994, Defense Mapping Agency (DMA) Series Z724, Sheet 4675-IV (Raster Image)

This layer is a georeferenced raster image of the United States Defense Mapping Agency (DMA) Series Z724, Burundi, 1:50,000 Topographic Line Map (TLM) Series sheet map entitled: Mabayi. Printed in: 1994. Covers portions of Mabayi region, Burundi. Sheet: 4675-IV. Edition statement: Ed. 1 - DMA. The image inside the map neatline is georeferenced to the surface of the earth and fit to World Geodetic System (1984) coordinates. All map collar information is also available as part of the raster image. Burundi 1:50:000 Series Z724 maps are in English and French (legends also include Rundi). Each source map in the series is printed in color at a scale of 1:50,000. Series source sheets were published in 1994-1995 by the United States Defense Mapping Agency, Hydrographic/Topographic Center. The source map was scanned and georeferenced for Harvard University's Center for Geographic Analysis' AfricaMap project by East View Cartographic. Individual TLM sheets covering Burundi (40 sheets in total) were selected from the TLM worldwide series. DMA Topographic Line Map series maps are typical topographic maps portraying both natural and manmade features. They show and name works of nature, such as mountains, valleys, lakes, rivers, vegetation, etc. They also identify the principal works of humans, such as roads, railroads, boundaries, transmission lines, major buildings, etc. Relief is shown with standard contour intervals of 20 meters, with some sheets having supplemental meter contours, form lines, hachures, shading, and/or spot heights. Depths shown by bathymetric isolines. Please pay close attention to map collar information on projections, spheroid, compilation dates, legend information, and keys to grid numbering and other numbers which appear inside the neatline.

Mabanda region, Burundi, 1994, Defense Mapping Agency (DMA) Series Z724, Sheet 4772-II (Raster Image)

This layer is a georeferenced raster image of the United States Defense Mapping Agency (DMA) Series Z724, Burundi, 1:50,000 Topographic Line Map (TLM) Series sheet map entitled: Mabanda. Printed in: 1994. Covers portions of Mabanda region, Burundi. Sheet: 4772-II. Edition statement: Ed. 1 - DMA. The image inside the map neatline is georeferenced to the surface of the earth and fit to World Geodetic System (1984) coordinates. All map collar information is also available as part of the raster image. Burundi 1:50:000 Series Z724 maps are in English and French (legends also include Rundi). Each source map in the series is printed in color at a scale of 1:50,000. Series source sheets were published in 1994-1995 by the United States Defense Mapping Agency, Hydrographic/Topographic Center. The source map was scanned and georeferenced for Harvard University's Center for Geographic Analysis' AfricaMap project by East View Cartographic. Individual TLM sheets covering Burundi (40 sheets in total) were selected from the TLM worldwide series. DMA Topographic Line Map series maps are typical topographic maps portraying both natural and manmade features. They show and name works of nature, such as mountains, valleys, lakes, rivers, vegetation, etc. They also identify the principal works of humans, such as roads, railroads, boundaries, transmission lines, major buildings, etc. Relief is shown with standard contour intervals of 20 meters, with some sheets having supplemental meter contours, form lines, hachures, shading, and/or spot heights. Depths shown by bathymetric isolines. Please pay close attention to map collar information on projections, spheroid, compilation dates, legend information, and keys to grid numbering and other numbers which appear inside the neatline.

Nyanza-Lac region, Burundi, 1994, Defense Mapping Agency (DMA) Series Z724, Sheet 4772-III (Raster Image)

This layer is a georeferenced raster image of the United States Defense Mapping Agency (DMA) Series Z724, Burundi, 1:50,000 Topographic Line Map (TLM) Series sheet map entitled: Nyanza-Lac. Printed in: 1994. Covers portions of Nyanza-Lac region, Burundi. Sheet: 4772-III. Edition statement: Ed. 1 - DMA. The image inside the map neatline is georeferenced to the surface of the earth and fit to World Geodetic System (1984) coordinates. All map collar information is also available as part of the raster image. Burundi 1:50:000 Series Z724 maps are in English and French (legends also include Rundi). Each source map in the series is printed in color at a scale of 1:50,000. Series source sheets were published in 1994-1995 by the United States Defense Mapping Agency, Hydrographic/Topographic Center. The source map was scanned and georeferenced for Harvard University's Center for Geographic Analysis' AfricaMap project by East View Cartographic. Individual TLM sheets covering Burundi (40 sheets in total) were selected from the TLM worldwide series. DMA Topographic Line Map series maps are typical topographic maps portraying both natural and manmade features. They show and name works of nature, such as mountains, valleys, lakes, rivers, vegetation, etc. They also identify the principal works of humans, such as roads, railroads, boundaries, transmission lines, major buildings, etc. Relief is shown with standard contour intervals of 20 meters, with some sheets having supplemental meter contours, form lines, hachures, shading, and/or spot heights. Depths shown by bathymetric isolines. Please pay close attention to map collar information on projections, spheroid, compilation dates, legend information, and keys to grid numbering and other numbers which appear inside the neatline.