Evaluación estocástica de huecos de tensión en sistemas eléctricos: estudio de sensibilidad, estimación de índices y localización óptima de medidores

I. GENERALIDADES 1.1. Introducción Entre los diversos tipos de perturbaciones eléctricas, los huecos de tensión son considerados el problema de calidad de suministro más frecuente en los sistemas eléctricos. Este fenómeno es originado por un aumento extremo de la corriente en el sistema, causado principalmente por cortocircuitos o maniobras inadecuadas en la red. Este tipo de perturbación eléctrica está caracterizado básicamente por dos parámetros: tensión residual y duración. Típicamente, se considera que el hueco se produce cuando la tensión residual alcanza en alguna de las fases un valor entre 0.01 a 0.9 pu y tiene una duración de hasta 60 segundos. Para un usuario final, el efecto más relevante de un hueco de tensión es la interrupción o alteración de la operación de sus equipos, siendo los dispositivos de naturaleza electrónica los principalmente afectados (p. ej. ordenador, variador de velocidad, autómata programable, relé, etc.). Debido al auge tecnológico de las últimas décadas y a la búsqueda constante de automatización de los procesos productivos, el uso de componentes electrónicos resulta indispensable en la actualidad. Este hecho, lleva a que los efectos de los huecos de tensión sean más evidentes para el usuario final, provocando que su nivel de exigencia de la calidad de energía suministrada sea cada vez mayor. De forma general, el estudio de los huecos de tensión suele ser abordado bajo dos enfoques: en la carga o en la red. Desde el punto de vista de la carga, se requiere conocer las características de sensibilidad de los equipos para modelar su respuesta ante variaciones súbitas de la tensión del suministro eléctrico. Desde la perspectiva de la red, se busca estimar u obtener información adecuada que permita caracterizar su comportamiento en términos de huecos de tensión. En esta tesis, el trabajo presentado se encuadra en el segundo aspecto, es decir, en el modelado y estimación de la respuesta de un sistema eléctrico de potencia ante los huecos de tensión. 1.2. Planteamiento del problema A pesar de que los huecos de tensión son el problema de calidad de suministro más frecuente en las redes, hasta la actualidad resulta complejo poder analizar de forma adecuada este tipo de perturbación para muchas compañías del sector eléctrico. Entre las razones más comunes se tienen: - El tiempo de monitorización puede llegar a ser de varios años para conseguir una muestra de registros de huecos estadísticamente válida. - La limitación de recursos económicos para la adquisición e instalación de equipos de monitorización de huecos. - El elevado coste operativo que implica el análisis de los datos de los medidores de huecos de tensión instalados. - La restricción que tienen los datos de calidad de energía de las compañías eléctricas. Es decir, ante la carencia de datos que permitan analizar con mayor detalle los huecos de tensión, es de interés de las compañías eléctricas y la academia poder crear métodos fiables que permitan profundizar en el estudio, estimación y supervisión de este fenómeno electromagnético. Los huecos de tensión, al ser principalmente originados por eventos fortuitos como los cortocircuitos, son el resultado de diversas variables exógenas como: (i) la ubicación de la falta, (ii) la impedancia del material de contacto, (iii) el tipo de fallo, (iv) la localización del fallo en la red, (v) la duración del evento, etc. Es decir, para plantear de forma adecuada cualquier modelo teórico sobre los huecos de tensión, se requeriría representar esta incertidumbre combinada de las variables para proveer métodos realistas y, por ende, fiables para los usuarios. 1.3. Objetivo La presente tesis ha tenido como objetivo el desarrollo diversos métodos estocásticos para el estudio, estimación y supervisión de los huecos de tensión en los sistemas eléctricos de potencia. De forma específica, se ha profundizado en los siguientes ámbitos: - En el modelado realista de las variables que influyen en la caracterización de los huecos. Esto es, en esta Tesis se ha propuesto un método que permite representar de forma verosímil su cuantificación y aleatoriedad en el tiempo empleando distribuciones de probabilidad paramétricas. A partir de ello, se ha creado una herramienta informática que permite estimar la severidad de los huecos de tensión en un sistema eléctrico genérico. - Se ha analizado la influencia la influencia de las variables de entrada en la estimación de los huecos de tensión. En este caso, el estudio se ha enfocado en las variables de mayor divergencia en su caracterización de las propuestas existentes. - Se ha desarrollado un método que permite estima el número de huecos de tensión de una zona sin monitorización a través de la información de un conjunto limitado de medidas de un sistema eléctrico. Para ello, se aplican los principios de la estadística Bayesiana, estimando el número de huecos de tensión más probable de un emplazamiento basándose en los registros de huecos de otros nudos de la red. - Plantear una estrategia para optimizar la monitorización de los huecos de tensión en un sistema eléctrico. Es decir, garantizar una supervisión del sistema a través de un número de medidores menor que el número de nudos de la red. II. ESTRUCTURA DE LA TESIS Para plantear las propuestas anteriormente indicadas, la presente Tesis se ha estructurado en seis capítulos. A continuación, se describen brevemente los mismos. A manera de capítulo introductorio, en el capítulo 1, se realiza una descripción del planteamiento y estructura de la presente tesis. Esto es, se da una visión amplia de la problemática a tratar, además de describir el alcance de cada capítulo de la misma. En el capítulo 2, se presenta una breve descripción de los fundamentos y conceptos generales de los huecos de tensión. Los mismos, buscan brindar al lector de una mejor comprensión de los términos e indicadores más empleados en el análisis de severidad de los huecos de tensión en las redes eléctricas. Asimismo, a manera de antecedente, se presenta un resumen de las principales características de las técnicas o métodos existentes aplicados en la predicción y monitorización óptima de los huecos de tensión. En el capítulo 3, se busca fundamentalmente conocer la importancia de las variables que determinen la frecuencia o severidad de los huecos de tensión. Para ello, se ha implementado una herramienta de estimación de huecos de tensión que, a través de un conjunto predeterminado de experimentos mediante la técnica denominada Diseño de experimentos, analiza la importancia de la parametrización de las variables de entrada del modelo. Su análisis, es realizado mediante la técnica de análisis de la varianza (ANOVA), la cual permite establecer con rigor matemático si la caracterización de una determinada variable afecta o no la respuesta del sistema en términos de los huecos de tensión. En el capítulo 4, se propone una metodología que permite predecir la severidad de los huecos de tensión de todo el sistema a partir de los registros de huecos de un conjunto reducido de nudos de dicha red. Para ello, se emplea el teorema de probabilidad condicional de Bayes, el cual calcula las medidas más probables de todo el sistema a partir de la información proporcionada por los medidores de huecos instalados. Asimismo, en este capítulo se revela una importante propiedad de los huecos de tensión, como es la correlación del número de eventos de huecos de tensión en diversas zonas de las redes eléctricas. En el capítulo 5, se desarrollan dos métodos de localización óptima de medidores de huecos de tensión. El primero, que es una evolución metodológica del criterio de observabilidad; aportando en el realismo de la pseudo-monitorización de los huecos de tensión con la que se calcula el conjunto óptimo de medidores y, por ende, en la fiabilidad del método. Como una propuesta alternativa, se emplea la propiedad de correlación de los eventos de huecos de tensión de una red para plantear un método que permita establecer la severidad de los huecos de todo el sistema a partir de una monitorización parcial de dicha red. Finalmente, en el capítulo 6, se realiza una breve descripción de las principales aportaciones de los estudios realizados en esta tesis. Adicionalmente, se describen diversos temas a desarrollar en futuros trabajos. III. RESULTADOS En base a las pruebas realizadas en las tres redes planteadas; dos redes de prueba IEEE de 24 y 118 nudos (IEEE-24 e IEEE-118), además del sistema eléctrico de la República del Ecuador de 357 nudos (EC-357), se describen los siguientes puntos como las observaciones más relevantes: A. Estimación de huecos de tensión en ausencia de medidas: Se implementa un método estocástico de estimación de huecos de tensión denominado PEHT, el cual representa con mayor realismo la simulación de los eventos de huecos de un sistema a largo plazo. Esta primera propuesta de la tesis, es considerada como un paso clave para el desarrollo de futuros métodos del presente trabajo, ya que permite emular de forma fiable los registros de huecos de tensión a largo plazo en una red genérica. Entre las novedades más relevantes del mencionado Programa de Estimación de Huecos de Tensión (PEHT) se tienen: - Considerar el efecto combinado de cinco variables aleatorias de entrada para simular los eventos de huecos de tensión en una pseudo-monitorización a largo plazo. Las variables de entrada modeladas en la caracterización de los huecos de tensión en el PEHT son: (i) coeficiente de fallo, (ii) impedancia de fallo, (iii) tipo de fallo, (iv) localización del fallo y (v) duración. - El modelado estocástico de las variables de entrada impedancia de fallo y duración en la caracterización de los eventos de huecos de tensión. Para la parametrización de las variables mencionadas, se realizó un estudio detallado del comportamiento real de las mismas en los sistemas eléctricos. Asimismo, se define la función estadística que mejor representa la naturaleza aleatoria de cada variable. - Considerar como variables de salida del PEHT a indicadores de severidad de huecos de uso común en las normativas, como es el caso de los índices: SARFI-X, SARFI-Curve, etc. B. Análisis de sensibilidad de los huecos de tensión: Se presenta un estudio causa-efecto (análisis de sensibilidad) de las variables de entrada de mayor divergencia en su parametrización entre las referencias relacionadas a la estimación de los huecos de tensión en redes eléctricas. De forma específica, se profundiza en el estudio de la influencia de la parametrización de las variables coeficiente de fallo e impedancia de fallo en la predicción de los huecos de tensión. A continuación un resumen de las conclusiones más destacables: - La precisión de la variable de entrada coeficiente de fallo se muestra como un parámetro no influyente en la estimación del número de huecos de tensión (SARFI-90 y SARFI-70) a largo plazo. Es decir, no se requiere de una alta precisión del dato tasa de fallo de los elementos del sistema para obtener una adecuada estimación de los huecos de tensión. - La parametrización de la variable impedancia de fallo se muestra como un factor muy sensible en la estimación de la severidad de los huecos de tensión. Por ejemplo, al aumentar el valor medio de esta variable aleatoria, se disminuye considerablemente la severidad reportada de los huecos en la red. Por otra parte, al evaluar el parámetro desviación típica de la impedancia de fallo, se observa una relación directamente proporcional de este parámetro con la severidad de los huecos de tensión de la red. Esto es, al aumentar la desviación típica de la impedancia de fallo, se evidencia un aumento de la media y de la variación interanual de los eventos SARFI-90 y SARFI-70. - En base al análisis de sensibilidad desarrollado en la variable impedancia de fallo, se considera muy cuestionable la fiabilidad de los métodos de estimación de huecos de tensión que omiten su efecto en el modelo planteado. C. Estimación de huecos de tensión en base a la información de una monitorización parcial de la red: Se desarrolla un método que emplea los registros de una red parcialmente monitorizada para determinar la severidad de los huecos de todo el sistema eléctrico. A partir de los casos de estudio realizados, se observa que el método implementado (PEHT+MP) posee las siguientes características: - La metodología propuesta en el PEHT+MP combina la teoría clásica de cortocircuitos con diversas técnicas estadísticas para estimar, a partir de los datos de los medidores de huecos instalados, las medidas de huecos de los nudos sin monitorización de una red genérica. - El proceso de estimación de los huecos de tensión de la zona no monitorizada de la red se fundamenta en la aplicación del teorema de probabilidad condicional de Bayes. Es decir, en base a los datos observados (los registros de los nudos monitorizados), el PEHT+MP calcula de forma probabilística la severidad de los huecos de los nudos sin monitorización del sistema. Entre las partes claves del procedimiento propuesto se tienen los siguientes puntos: (i) la creación de una base de datos realista de huecos de tensión a través del Programa de Estimación de Huecos de Tensión (PEHT) propuesto en el capítulo anterior; y, (ii) el criterio de máxima verosimilitud empleado para estimar las medidas de huecos de los nudos sin monitorización de la red evaluada. - Las predicciones de medidas de huecos de tensión del PEHT+MP se ven potenciadas por la propiedad de correlación de los huecos de tensión en diversas zonas de un sistema eléctrico. Esta característica intrínseca de las redes eléctricas limita de forma significativa la respuesta de las zonas fuertemente correlacionadas del sistema ante un eventual hueco de tensión. Como el PEHT+MP está basado en principios probabilísticos, la reducción del rango de las posibles medidas de huecos se ve reflejado en una mejor predicción de las medidas de huecos de la zona no monitorizada. - Con los datos de un conjunto de medidores relativamente pequeño del sistema, es posible obtener estimaciones precisas (error nulo) de la severidad de los huecos de la zona sin monitorizar en las tres redes estudiadas. - El PEHT+MP se puede aplicar a diversos tipos de indicadores de severidad de los huecos de tensión, como es el caso de los índices: SARFI-X, SARFI-Curve, SEI, etc. D. Localización óptima de medidores de huecos de tensión: Se plantean dos métodos para ubicar de forma estratégica al sistema de monitorización de huecos en una red genérica. La primera propuesta, que es una evolución metodológica de la localización óptima de medidores de huecos basada en el criterio de observabilidad (LOM+OBS); y, como segunda propuesta, un método que determina la localización de los medidores de huecos según el criterio del área de correlación (LOM+COR). Cada método de localización óptima de medidores propuesto tiene un objetivo concreto. En el caso del LOM+OBS, la finalidad del método es determinar el conjunto óptimo de medidores que permita registrar todos los fallos que originen huecos de tensión en la red. Por otro lado, en el método LOM+COR se persigue definir un sistema óptimo de medidores que, mediante la aplicación del PEHT+MP (implementado en el capítulo anterior), sea posible estimar de forma precisa las medidas de huecos de tensión de todo el sistema evaluado. A partir del desarrollo de los casos de estudio de los citados métodos de localización óptima de medidores en las tres redes planteadas, se describen a continuación las observaciones más relevantes: - Como la generación de pseudo-medidas de huecos de tensión de los métodos de localización óptima de medidores (LOM+OBS y LOM+COR) se obtienen mediante la aplicación del algoritmo PEHT, la formulación del criterio de optimización se realiza en base a una pseudo-monitorización realista, la cual considera la naturaleza aleatoria de los huecos de tensión a través de las cinco variables estocásticas modeladas en el PEHT. Esta característica de la base de datos de pseudo-medidas de huecos de los métodos LOM+OBS y LOM+COR brinda una mayor fiabilidad del conjunto óptimo de medidores calculado respecto a otros métodos similares en la bibliografía. - El conjunto óptimo de medidores se determina según la necesidad del operador de la red. Esto es, si el objetivo es registrar todos los fallos que originen huecos de tensión en el sistema, se emplea el criterio de observabilidad en la localización óptima de medidores de huecos. Por otra parte, si se plantea definir un sistema de monitorización que permita establecer la severidad de los huecos de tensión de todo el sistema en base a los datos de un conjunto reducido de medidores de huecos, el criterio de correlación resultaría el adecuado. De forma específica, en el caso del método LOM+OBS, basado en el criterio de observabilidad, se evidenciaron las siguientes propiedades en los casos de estudio realizados: - Al aumentar el tamaño de la red, se observa la tendencia de disminuir el porcentaje de nudos monitorizados de dicho sistema. Por ejemplo, para monitorizar los fallos que originan huecos en la red IEEE-24, se requiere monitorizar el 100\% de los nudos del sistema. En el caso de las redes IEEE-118 y EC-357, el método LOM+OBS determina que con la monitorización de un 89.5% y 65.3% del sistema, respectivamente, se cumpliría con el criterio de observabilidad del método. - El método LOM+OBS permite calcular la probabilidad de utilización del conjunto óptimo de medidores a largo plazo, estableciendo así un criterio de la relevancia que tiene cada medidor considerado como óptimo en la red. Con ello, se puede determinar el nivel de precisión u observabilidad (100%, 95%, etc.) con el cual se detectarían los fallos que generan huecos en la red estudiada. Esto es, al aumentar el nivel de precisión de detección de los fallos que originan huecos, se espera que aumente el número de medidores requeridos en el conjunto óptimo de medidores calculado. - El método LOM+OBS se evidencia como una técnica aplicable a todo tipo de sistema eléctrico (radial o mallado), el cual garantiza la detección de los fallos que originan huecos de tensión en un sistema según el nivel de observabilidad planteado. En el caso del método de localización óptima de medidores basado en el criterio del área de correlación (LOM+COR), las diversas pruebas realizadas evidenciaron las siguientes conclusiones: - El procedimiento del método LOM+COR combina los métodos de estimación de huecos de tensión de capítulos anteriores (PEHT y PEHT+MP) con técnicas de optimización lineal para definir la localización óptima de los medidores de huecos de tensión de una red. Esto es, se emplea el PEHT para generar los pseudo-registros de huecos de tensión, y, en base al criterio planteado de optimización (área de correlación), el LOM+COR formula y calcula analíticamente el conjunto óptimo de medidores de la red a largo plazo. A partir de la información registrada por este conjunto óptimo de medidores de huecos, se garantizaría una predicción precisa de la severidad de los huecos de tensión de todos los nudos del sistema con el PEHT+MP. - El método LOM+COR requiere un porcentaje relativamente reducido de nudos del sistema para cumplir con las condiciones de optimización establecidas en el criterio del área de correlación. Por ejemplo, en el caso del número total de huecos (SARFI-90) de las redes IEEE-24, IEEE-118 y EC-357, se calculó un conjunto óptimo de 9, 12 y 17 medidores de huecos, respectivamente. Es decir, solamente se requeriría monitorizar el 38\%, 10\% y 5\% de los sistemas indicados para supervisar los eventos SARFI-90 en toda la red. - El método LOM+COR se muestra como un procedimiento de optimización versátil, el cual permite reducir la dimensión del sistema de monitorización de huecos de redes eléctricas tanto radiales como malladas. Por sus características, este método de localización óptima permite emular una monitorización integral del sistema a través de los registros de un conjunto pequeño de monitores. Por ello, este nuevo método de optimización de medidores sería aplicable a operadores de redes que busquen disminuir los costes de instalación y operación del sistema de monitorización de los huecos de tensión. ABSTRACT I. GENERALITIES 1.1. Introduction Among the various types of electrical disturbances, voltage sags are considered the most common quality problem in power systems. This phenomenon is caused by an extreme increase of the current in the network, primarily caused by short-circuits or inadequate maneuvers in the system. This type of electrical disturbance is basically characterized by two parameters: residual voltage and duration. Typically, voltage sags occur when the residual voltage, in some phases, reaches a value between 0.01 to 0.9 pu and lasts up to 60 seconds. To an end user, the most important effect of a voltage sags is the interruption or alteration of their equipment operation, with electronic devices the most affected (e.g. computer, drive controller, PLC, relay, etc.). Due to the technology boom of recent decades and the constant search for automating production processes, the use of electronic components is essential today. This fact makes the effects of voltage sags more noticeable to the end user, causing the level of demand for a quality energy supply to be increased. In general, the study of voltage sags is usually approached from one of two aspects: the load or the network. From the point of view of the load, it is necessary to know the sensitivity characteristics of the equipment to model their response to sudden changes in power supply voltage. From the perspective of the network, the goal is to estimate or obtain adequate information to characterize the network behavior in terms of voltage sags. In this thesis, the work presented fits into the second aspect; that is, in the modeling and estimation of the response of a power system to voltage sag events. 1.2. Problem Statement Although voltage sags are the most frequent quality supply problem in electrical networks, thistype of disturbance remains complex and challenging to analyze properly. Among the most common reasons for this difficulty are: - The sag monitoring time, because it can take up to several years to get a statistically valid sample. - The limitation of funds for the acquisition and installation of sag monitoring equipment. - The high operating costs involved in the analysis of the voltage sag data from the installed monitors. - The restrictions that electrical companies have with the registered power quality data. That is, given the lack of data to further voltage sag analysis, it is of interest to electrical utilities and researchers to create reliable methods to deepen the study, estimation and monitoring of this electromagnetic phenomenon. Voltage sags, being mainly caused by random events such as short-circuits, are the result of various exogenous variables such as: (i) the number of faults of a system element, (ii) the impedance of the contact material, (iii) the fault type, (iv) the fault location, (v) the duration of the event, etc. That is, to properly raise any theoretical model of voltage sags, it is necessary to represent the combined uncertainty of variables to provide realistic methods that are reliable for users. 1.3. Objective This Thesis has been aimed at developing various stochastic methods for the study, estimation and monitoring of voltage sags in electrical power systems. Specifically, it has deepened the research in the following areas: - This research furthers knowledge in the realistic modeling of the variables that influence sag characterization. This thesis proposes a method to credibly represent the quantification and randomness of the sags in time by using parametric probability distributions. From this, a software tool was created to estimate the severity of voltage sags in a generic power system. - This research also analyzes the influence of the input variables in the estimation of voltage sags. In this case, the study has focused on the variables of greatest divergence in their characterization of the existing proposals. - A method was developed to estimate the number of voltage sags of an area without monitoring through the information of a limited set of sag monitors in an electrical system. To this end, the principles of Bayesian statistics are applied, estimating the number of sags most likely to happen in a system busbar based in records of other sag network busbars. - A strategy was developed to optimize the monitorization of voltage sags on a power system. Its purpose is to ensure the monitoring of the system through a number of monitors lower than the number of busbars of the network assessed. II. THESIS STRUCTURE To describe in detail the aforementioned proposals, this Thesis has been structured into six chapters. Below is are brief descriptions of them: As an introductory chapter, Chapter 1, provides a description of the approach and structure of this thesis. It presents a wide view of the problem to be treated, in addition to the description of the scope of each chapter. In Chapter 2, a brief description of the fundamental and general concepts of voltage sags is presented to provide to the reader a better understanding of the terms and indicators used in the severity analysis of voltage sags in power networks. Also, by way of background, a summary of the main features of existing techniques or methods used in the prediction and optimal monitoring of voltage sags is also presented. Chapter 3 essentially seeks to know the importance of the variables that determine the frequency or severity of voltage sags. To do this, a tool to estimate voltage sags is implemented that, through a predetermined set of experiments using the technique called Design of Experiments, discusses the importance of the parameters of the input variables of the model. Its analysis is interpreted by using the technique of analysis of variance (ANOVA), which provides mathematical rigor to establish whether the characterization of a particular variable affects the system response in terms of voltage sags or not. In Chapter 4, a methodology to predict the severity of voltage sags of an entire system through the sag logs of a reduced set of monitored busbars is proposed. For this, the Bayes conditional probability theorem is used, which calculates the most likely sag severity of the entire system from the information provided by the installed monitors. Also, in this chapter an important property of voltage sags is revealed, as is the correlation of the voltage sags events in several zones of a power system. In Chapter 5, two methods of optimal location of voltage sag monitors are developed. The first one is a methodological development of the observability criteria; it contributes to the realism of the sag pseudo-monitoring with which the optimal set of sag monitors is calculated and, therefore, to the reliability of the proposed method. As an alternative proposal, the correlation property of the sag events of a network is used to raise a method that establishes the sag severity of the entire system from a partial monitoring of the network. Finally, in Chapter 6, a brief description of the main contributions of the studies in this Thesis is detailed. Additionally, various themes to be developed in future works are described. III. RESULTS. Based on tests on the three networks presented, two IEEE test networks of 24 and 118 busbars (IEEE-24 and IEEE-118) and the electrical system of the Republic of Ecuador (EC-357), the following points present the most important observations: A. Estimation of voltage sags in the absence of measures: A stochastic estimation method of voltage sags, called PEHT, is implemented to represent with greater realism the long-term simulation of voltage sags events in a system. This first proposal of this thesis is considered a key step for the development of future methods of this work, as it emulates in a reliable manner the voltage sag long-term records in a generic network. Among the main innovations of this voltage sag estimation method are the following: - Consideration of the combined effect of five random input variables to simulate the events of voltage sags in long-term monitoring is included. The input variables modeled in the characterization of voltage sags on the PEHT are as follows: (i) fault coefficient, (ii) fault impedance, (iii) type of fault, (iv) location of the fault, and (v) fault duration. - Also included is the stochastic modeling of the input variables of fault impedance and duration in the characterization of the events of voltage sags. For the parameterization of these variables, a detailed study of the real behavior in power systems is developed. Also, the statistical function best suited to the random nature of each variable is defined. - Consideration of sag severity indicators used in standards as PEHT output variables, including such as indices as SARFI-X, SARFI-Curve, etc. B. Sensitivity analysis of voltage sags: A cause-effect study (sensitivity analysis) of the input variables of greatest divergence between reference parameterization related to the estimation of voltage sags in electrical networks is presented. Specifically, it delves into the study of the influence of the parameterization of the variables fault coefficient and fault impedance in the voltage sag estimation. Below is a summary of the most notable observations: - The accuracy of the input variable fault coefficient is shown as a non-influential parameter in the long-term estimation of the number of voltage sags (SARFI-90 and SARFI-70). That is, it does not require a high accuracy of the fault rate data of system elements for a proper voltage sag estimation. - The parameterization of the variable fault impedance is shown to be a very sensitive factor in the estimation of the voltage sag severity. For example, by increasing the average value of this random variable, the reported sag severity in the network significantly decreases. Moreover, in assessing the standard deviation of the fault impedance parameter, a direct relationship of this parameter with the voltage sag severity of the network is observed. That is, by increasing the fault impedance standard deviation, an increase of the average and the interannual variation of the SARFI-90 and SARFI-70 events is evidenced. - Based on the sensitivity analysis developed in the variable fault impedance, the omission of this variable in the voltage sag estimation would significantly call into question the reliability of the responses obtained. C. Voltage sag estimation from the information of a network partially monitored: A method that uses the voltage sag records of a partially monitored network for the sag estimation of all the power system is developed. From the case studies performed, it is observed that the method implemented (PEHT+MP) has the following characteristics: - The methodology proposed in the PEHT+MP combines the classical short-circuit theory with several statistical techniques to estimate, from data the of the installed sag meters, the sag measurements of unmonitored busbars of a generic power network. - The estimation process of voltage sags of the unmonitored zone of the network is based on the application of the conditional probability theorem of Bayes. That is, based on the observed data (monitored busbars records), the PEHT+MP calculates probabilistically the sag severity at unmonitored system busbars. Among the key parts of the proposed procedure are the following: (i) the creation of a realistic data base of voltage sags through of the sag estimation program (PEHT); and, (ii) the maximum likelihood criterion used to estimate the sag indices of system busbars without monitoring. - The voltage sag measurement estimations of PEHT+MP are potentiated by the correlation property of the sag events in power systems. This inherent characteristic of networks significantly limits the response of strongly correlated system zones to a possible voltage sag. As the PEHT+MP is based on probabilistic principles, a reduction of the range of possible sag measurements is reflected in a better sag estimation of the unmonitored area of the power system. - From the data of a set of monitors representing a relatively small portion of the system, to obtain accurate estimations (null error) of the sag severity zones without monitoring is feasible in the three networks studied. - The PEHT+MP can be applied to several types of sag indices, such as: SARFI-X, SARFI-Curve, SEI, etc. D. Optimal location of voltage sag monitors in power systems: Two methods for strategically locating the sag monitoring system are implemented for a generic network. The first proposal is a methodological development of the optimal location of sag monitors based on the observability criterion (LOM + OBS); the second proposal is a method that determines the sag monitor location according to the correlation area criterion (LOM+COR). Each proposed method of optimal location of sag monitors has a specific goal. In the case of LOM+OBS, the purpose of the method is to determine the optimal set of sag monitors to record all faults that originate voltage sags in the network. On the other hand, the LOM+COR method attempts to define the optimal location of sag monitors to estimate the sag indices in all the assessed network with the PEHT+MP application. From the development of the case studies of these methods of optimal location of sag monitors in the three networks raised, the most relevant observations are described below: - As the generation of voltage sag pseudo-measurements of the optimal location methods (LOM+OBS and LOM+COR) are obtained by applying the algorithm PEHT, the formulation of the optimization criterion is performed based on a realistic sag pseudo-monitoring, which considers the random nature of voltage sags through the five stochastic variables modeled in PEHT. This feature of the database of sag pseudo-measurements of the LOM+OBS and LOM+COR methods provides a greater reliability of the optimal set of monitors calculated when compared to similar methods in the bibliography. - The optimal set of sag monitors is determined by the network operator need. That is, if the goal is to record all faults that originate from voltage sags in the system, the observability criterion is used to determine the optimal location of sag monitors (LOM+OBS). Moreover, if the objective is to define a monitoring system that allows establishing the sag severity of the system from taken from information based on a limited set of sag monitors, the correlation area criterion would be appropriate (LOM+COR). Specifically, in the case of the LOM+OBS method (based on the observability criterion), the following properties were observed in the case studies: - By increasing the size of the network, there was observed a reduction in the percentage of monitored system busbars required. For example, to monitor all the faults which cause sags in the IEEE-24 network, then 100% of the system busbars are required for monitoring. In the case of the IEEE-118 and EC-357 networks, the method LOM+OBS determines that with monitoring 89.5 % and 65.3 % of the system, respectively, the observability criterion of the method would be fulfilled. - The LOM+OBS method calculates the probability of using the optimal set of sag monitors in the long term, establishing a relevance criterion of each sag monitor considered as optimal in the network. With this, the level of accuracy or observability (100%, 95%, etc.) can be determined, with which the faults that caused sags in the studied network are detected. That is, when the accuracy level for detecting faults that cause sags in the system is increased, a larger number of sag monitors is expected when calculating the optimal set of monitors. - The LOM + OBS method is demonstrated to be a technique applicable to any type of electrical system (radial or mesh), ensuring the detection of faults that cause voltage sags in a system according to the observability level raised. In the case of the optimal localization of sag monitors based on the criterion of correlation area (LOM+COR), several tests showed the following conclusions: - The procedure of LOM+COR method combines the implemented algorithms of voltage sag estimation (PEHT and PEHT+MP) with linear optimization techniques to define the optimal location of the sag monitors in a network. That is, the PEHT is used to generate the voltage sag pseudo-records, and, from the proposed optimization criterion (correlation area), the LOM+COR formulates and analytically calculates the optimal set of sag monitors of the network in the long term. From the information recorded by the optimal set of sag monitors, an accurate prediction of the voltage sag severity at all the busbars of the system is guaranteed with the PEHT+MP. - The LOM + COR method is shown to be a versatile optimization procedure, which reduces the size of the sag monitoring system both at radial as meshed grids. Due to its characteristics, this optimal location method allows emulation of complete system sag monitoring through the records of a small optimal set of sag monitors. Therefore, this new optimization method would be applicable to network operators that looks to reduce the installation and operation costs of the voltage sag monitoring system.

Obtención de la función receptora en las estaciones sísmicas de banda ancha del Instituto Geográfico Nacional.

La estructura de velocidad en los primeros metros debajo de una estación sísmica produce un cierto efecto sobre el sismograma que ésta registra, dicho efecto se denomina función receptora. Si se conoce esta función, es posible, mediante modelización, obtener esa estructura de velocidad. La onda P que genera un telesismo, queda “atrapada” en los últimos kilómetros de su trayectoria en la estructura próxima a la estación que la registra, reverberando entre las discontinuidades de la misma y convirtiéndose, en algunas partes, en onda S. La diferencia de registro existente entre el sismograma del rayo no atrapado (componente vertical del registro) y el producido por este fenómeno (componente radial), sería la función receptora. En este proyecto, se pretende obtener mediante la técnica de Langston (1979),las funciones receptoras de las 55 estaciones que forman la Red Sísmica de banda ancha del Instituto Geográfico Nacional, con el fin de que en trabajos venideros, sea posible conocer de una manera más realista, la estructura de la corteza terrestre bajo el territorio español. Para la obtención de estas funciones, será necesario trabajar con un conjunto de sismogramas registrados por estaciones de banda ancha a partir de telesismos cuyos parámetros focales reúnan una serie de condiciones, definidas y detalladas ampliamente en esta memoria. Tras un proceso de selección, que será constante a lo largo de todo este trabajo,se van a emplear para el cálculo de las funciones receptoras, un total de 5231 sismogramas, generados por 186 telesismos. Para terminar, a modo de ejemplo y con el objetivo de mostrar la finalidad para la que se ha llevado a cabo este proyecto, se procederá a realizar la inversión de la función receptora obtenida para una de las estaciones sísmicas de la red, obteniendo así, un modelo de velocidades aproximado de la estructura de la litosfera existente bajo dicha estación. Abstract: The speed structure in the first layers under a seismic station produces an effect on the seismogram that is registered. This effect is known as receiver function. It is possible to obtain the speed structure if this function is detected through modelling. The P wave, which generates a teleseism, gets trapped in the final kilometres of its trajectory in the nearby station structure, reverberating among its discontinuities and turning into a S wave. The registered difference between the not caught ray seismogram (vertical component of the register) and the one that is produced by this phenomenon (radial component) would be known as receiver function. This project aims to obtain, through the Langston technique (1979), the receiver function of the 55 stations that make up the Broadband Seismic Network of the National Geography Institute to get to know, in a more realistic way, the structure of the Earth’s crust under the Spanish territory. In order to obtain these functions, it will be necessary to work with a number of seismograms registered by the broadband stations whose focal parameters meet the requirements that are well defined and detailed in the development of this memory. After selecting the appropriate data, that would be constant throughout the development of this project, we are going to apply a total of 5231 seismograms obtained by 186 teleseism to calculate the receivers functions. To conclude, and with the aim of demonstrating the purposes and uses that lie behind the development of this project, we will reverse the receiver function for one of the seismic stations, obtaining a approximate speeds’ model of the lithosphere structure that can be found under the previously mentioned station.

Decision boundary for discrete Bayesian network classifiers

Bayesian network classifiers are a powerful machine learning tool. In order to evaluate the expressive power of these models, we compute families of polynomials that sign-represent decision functions induced by Bayesian network classifiers. We prove that those families are linear combinations of products of Lagrange basis polynomials. In absence of V -structures in the predictor sub-graph, we are also able to prove that this family of polynomials does indeed characterize the specific classifier considered. We then use this representation to bound the number of decision functions representable by Bayesian network classifiers with a given structure.

The underlying pathway structure of biochemical reaction networks

Bioinformatics is yielding extensive, and in some cases complete, genetic and biochemical information about individual cell types and cellular processes, providing the composition of living cells and the molecular structure of its components. These components together perform integrated cellular functions that now need to be analyzed. In particular, the functional definition of biochemical pathways and their role in the context of the whole cell is lacking. In this study, we show how the mass balance constraints that govern the function of biochemical reaction networks lead to the translation of this problem into the realm of linear algebra. The functional capabilities of biochemical reaction networks, and thus the choices that cells can make, are reflected in the null space of their stoichiometric matrix. The null space is spanned by a finite number of basis vectors. We present an algorithm for the synthesis of a set of basis vectors for spanning the null space of the stoichiometric matrix, in which these basis vectors represent the underlying biochemical pathways that are fundamental to the corresponding biochemical reaction network. In other words, all possible flux distributions achievable by a defined set of biochemical reactions are represented by a linear combination of these basis pathways. These basis pathways thus represent the underlying pathway structure of the defined biochemical reaction network. This development is significant from a fundamental and conceptual standpoint because it yields a holistic definition of biochemical pathways in contrast to definitions that have arisen from the historical development of our knowledge about biochemical processes. Additionally, this new conceptual framework will be important in defining, characterizing, and studying biochemical pathways from the rapidly growing information on cellular function.

rRNA complementarity within mRNAs: A possible basis for mRNA-ribosome interactions and translational control

Our recent demonstration that many eukaryotic mRNAs contain sequences complementary to rRNA led to the hypothesis that these sequences might mediate specific interactions between mRNAs and ribosomes and thereby affect translation. In the present experiments, the ability of complementary sequences to bind to rRNA was investigated by using photochemical cross-linking. RNA probes with perfect complementarity to 18S or 28S rRNA were shown to cross-link specifically to the corresponding rRNA within intact ribosomal subunits. Similar results were obtained by using probes based on natural mRNA sequences with varying degrees of complementarity to the 18S rRNA. RNase H cleavage localized four such probes to complementary regions of the 18S rRNA. The effects of complementarity on translation were assessed by using the mRNA encoding ribosomal protein S15. This mRNA contains a sequence within its coding region that is complementary to the 18S rRNA at 20 of 22 nucleotides. RNA from an S15-luciferase fusion construct was translated in a cell-free lysate and compared with the translation of four related constructs that were mutated to decrease complementarity to the 18S rRNA. These mutations did not alter the amino acid sequence or the codon bias. A correlation between complementarity and translation was observed; constructs with less complementarity increased the amount of translation up to 54%. These findings raised the possibility that direct base-pairing of particular mRNAs to rRNAs within ribosomes may function as a mechanism of translational control.

Structure and function in rhodopsin: Packing of the helices in the transmembrane domain and folding to a tertiary structure in the intradiscal domain are coupled*

A previous study of the retinitis pigmentosa mutation L125R and two designed mutations at this site, L125A and L125F, showed that these mutations cause partial or total misfolding of the opsins expressed in COS cells from the corresponding mutant opsin genes. We now report on expression and characterization of the opsins from the following retinitis pigmentosa mutants in the transmembrane domain of rhodopsin that correspond to six of the seven helices: G51A and G51V (helix A), G89D (helix B), A164V (helix D), H211P (helix E), P267L and P267R (helix F), and T297R (helix G). All the mutations caused partial misfolding of the opsins as observed by the UV/visible absorption characteristics and by separation of the expressed opsins into fractions that bound 11-cis-retinal to form the corresponding mutant rhodopsins and those that did not bind 11-cis-retinal. Further, all the mutant rhodopsins prepared from the above mutants, except for G51A, showed strikingly abnormal bleaching behavior with abnormal metarhodopsin II photointermediates. The results show that retinitis pigmentosa mutations in every one of the transmembrane helices can cause misfolding of the opsin. Therefore, on the basis of these and previous results, we conclude that defects in the packing of the transmembrane helices resulting from these mutations are relayed to the intradiscal domain, where they cause misfolding of the opsin by inducing the formation of a disulfide bond other than the native Cys-110—Cys-187 disulfide bond. Thus, there is coupling between packing of the helices in the transmembrane domain and folding to a tertiary structure in the intradiscal domain.

Incomplete penetrance of familial retinoblastoma linked to germ-line mutations that result in partial loss of RB function

To study the molecular basis for the clinical phenotype of incomplete penetrance of familial retinoblastoma, we have examined the functional properties of three RB mutations identified in the germ line of five different families with low penetrance. RB mutants isolated from common adult cancers and from classic familial retinoblastoma (designated as classic RB mutations) are unstable and generally do not localize to the nucleus, do not undergo cyclin-dependent kinase (cdk)-mediated hyperphosphorylation, show absent protein “pocket” binding activity, and do not suppress colony growth of RB(−) cells. In contrast, two low-penetrant alleles (661W and “deletion of codon 480”) retained the ability to localize to the nucleus, showed normal cdk-mediated hyperphosphorylation in vivo, exhibited a binding pattern to simian virus 40 large T antigen using a quantitative yeast two-hybrid assay that was intermediate between classic mutants (null) and wild-type RB, and had absent E2F1 binding in vitro. A third, low-penetrant allele, “deletion of RB exon 4,” showed minimal hyperphosphorylation in vivo but demonstrated detectable E2F1 binding in vitro. In addition, each low-penetrant RB mutant retained the ability to suppress colony growth of RB(−) tumor cells. These findings suggest two categories of mutant, low-penetrant RB alleles. Class 1 alleles correspond to promoter mutations, which are believed to result in reduced or deregulated levels of wild-type RB protein, whereas class 2 alleles result in mutant proteins that retain partial activity. Characterization of the different subtypes of class 2 low-penetrant genes may help to define more precisely functional domains within the RB product required for tumor suppression.

A hierarchical neuronal network for planning behavior

Planning a goal-directed sequence of behavior is a higher function of the human brain that relies on the integrity of prefrontal cortical areas. In the Tower of London test, a puzzle in which beads sliding on pegs must be moved to match a designated goal configuration, patients with lesioned prefrontal cortex show deficits in planning a goal-directed sequence of moves. We propose a neuronal network model of sequence planning that passes this test and, when lesioned, fails in a way that mimics prefrontal patients’ behavior. Our model comprises a descending planning system with hierarchically organized plan, operation, and gesture levels, and an ascending evaluative system that analyzes the problem and computes internal reward signals that index the correct/erroneous status of the plan. Multiple parallel pathways connecting the evaluative and planning systems amend the plan and adapt it to the current problem. The model illustrates how specialized hierarchically organized neuronal assemblies may collectively emulate central executive or supervisory functions of the human brain.

Suppression of an absolute defect in Type IV pilus biogenesis by loss-of-function mutations in pilT, a twitching motility gene in Neisseria gonorrhoeae

Type IV pili of Neisseria gonorrhoeae, the Gram-negative etiologic agent of gonorrhea, facilitate colonization of the human host. Gonococcal PilT, a protein belonging to a large family of molecules sharing a highly conserved nucleotide binding domain motif, has been shown to be dispensable for organelle biogenesis but essential for twitching motility and competence for genetic transformation. Here, we show that the defect in pilus biogenesis resulting from mutations in the pilC gene, encoding a putative pilus-associated adhesin for human tissue, can be suppressed by the absence of functional PilT. These data conclusively demonstrate that PilT influences the Type IV pilus biogenesis pathway and strongly suggest that organelle expression is a dynamic process. In addition, these findings imply that PilT antagonizes the process of organelle biogenesis and provide the basis for a model for how the counteractive roles of PilT and PilC might relate mechanistically to the phenomenon of twitching motility.

Sequences within the Cytoplasmic Domain of Gp180/Carboxypeptidase D Mediate Localization to the Trans-Golgi Network

Gp180, a duck protein that was proposed to be a cell surface receptor for duck hepatitis B virus, is the homolog of metallocarboxypeptidase D, a mammalian protein thought to function in the trans-Golgi network (TGN) in the processing of proteins that transit the secretory pathway. Both gp180 and mammalian metallocarboxypeptidase D are type I integral membrane proteins that contain a 58-residue cytosolic C-terminal tail that is highly conserved between duck and rat. To investigate the regions of the gp180 tail involved with TGN retention and intracellular trafficking, gp180 and various deletion and point mutations were expressed in the AtT-20 mouse pituitary corticotroph cell line. Full length gp180 is enriched in the TGN and also cycles to the cell surface. Truncation of the C-terminal 56 residues of the cytosolic tail eliminates the enrichment in the TGN and the retrieval from the cell surface. Truncation of 12–43 residues of the tail reduced retention in the TGN and greatly accelerated the turnover of the protein. In contrast, deletion of the C-terminal 45 residues, which truncates a potential YxxL-like sequence (FxxL), reduced the protein turnover and caused accumulation of the protein on the cell surface. A point mutation of the FxxL sequence to AxxL slowed internalization, showing that this element is important for retrieval from the cell surface. Mutation of a pair of casein kinase II sites within an acidic cluster showed that they are also important for trafficking. The present study demonstrates that multiple sequence elements within the cytoplasmic tail of gp180 participate in TGN localization.

Molecular Cloning and Characterization of a Radial Spoke Head Protein of Sea Urchin Sperm Axonemes: Involvement of the Protein in the Regulation of Sperm Motility

Monoclonal antibodies raised against axonemal proteins of sea urchin spermatozoa have been used to study regulatory mechanisms involved in flagellar motility. Here, we report that one of these antibodies, monoclonal antibody D-316, has an unusual perturbating effect on the motility of sea urchin sperm models; it does not affect the beat frequency, the amplitude of beating or the percentage of motile sperm models, but instead promotes a marked transformation of the flagellar beating pattern which changes from a two-dimensional to a three-dimensional type of movement. On immunoblots of axonemal proteins separated by SDS-PAGE, D-316 recognized a single polypeptide of 90 kDa. This protein was purified following its extraction by exposure of axonemes to a brief heat treatment at 40°C. The protein copurified and coimmunoprecipitated with proteins of 43 and 34 kDa, suggesting that it exists as a complex in its native form. Using D-316 as a probe, a full-length cDNA clone encoding the 90-kDa protein was obtained from a sea urchin cDNA library. The sequence predicts a highly acidic (pI = 4.0) protein of 552 amino acids with a mass of 62,720 Da (p63). Comparison with protein sequences in databases indicated that the protein is related to radial spoke proteins 4 and 6 (RSP4 and RSP6) of Chlamydomonas reinhardtii, which share 37% and 25% similarity, respectively, with p63. However, the sea urchin protein possesses structural features distinct from RSP4 and RSP6, such as the presence of three major acidic stretches which contains 25, 17, and 12 aspartate and glutamate residues of 34-, 22-, and 14-amino acid long stretches, respectively, that are predicted to form α-helical coiled-coil secondary structures. These results suggest a major role for p63 in the maintenance of a planar form of sperm flagellar beating and provide new tools to study the function of radial spoke heads in more evolved species.

Vesicle-associated Membrane Protein 4 is Implicated in Trans-Golgi Network Vesicle Trafficking

The trans-Golgi network (TGN) plays a pivotal role in directing proteins in the secretory pathway to the appropriate cellular destination. VAMP4, a recently discovered member of the vesicle-associated membrane protein (VAMP) family of trafficking proteins, has been suggested to play a role in mediating TGN trafficking. To better understand the function of VAMP4, we examined its precise subcellular distribution. Indirect immunofluorescence and electron microscopy revealed that the majority of VAMP4 localized to tubular and vesicular membranes of the TGN, which were in part coated with clathrin. In these compartments, VAMP4 was found to colocalize with the putative TGN-trafficking protein syntaxin 6. Additional labeling was also present on clathrin-coated and noncoated vesicles, on endosomes and the medial and trans side of the Golgi complex, as well as on immature secretory granules in PC12 cells. Immunoprecipitation of VAMP4 from rat brain detergent extracts revealed that VAMP4 exists in a complex containing syntaxin 6. Converging lines of evidence implicate a role for VAMP4 in TGN-to-endosome transport.

Two Components of Actin-based Retrograde Flow in Sea Urchin Coelomocytes

Sea urchin coelomocytes represent an excellent experimental model system for studying retrograde flow. Their extreme flatness allows for excellent microscopic visualization. Their discoid shape provides a radially symmetric geometry, which simplifies analysis of the flow pattern. Finally, the nonmotile nature of the cells allows for the retrograde flow to be analyzed in the absence of cell translocation. In this study we have begun an analysis of the retrograde flow mechanism by characterizing its kinetic and structural properties. The supramolecular organization of actin and myosin II was investigated using light and electron microscopic methods. Light microscopic immunolocalization was performed with anti-actin and anti-sea urchin egg myosin II antibodies, whereas transmission electron microscopy was performed on platinum replicas of critical point-dried and rotary-shadowed cytoskeletons. Coelomocytes contain a dense cortical actin network, which feeds into an extensive array of radial bundles in the interior. These actin bundles terminate in a perinuclear region, which contains a ring of myosin II bipolar minifilaments. Retrograde flow was arrested either by interfering with actin polymerization or by inhibiting myosin II function, but the pathway by which the flow was blocked was different for the two kinds of inhibitory treatments. Inhibition of actin polymerization with cytochalasin D caused the actin cytoskeleton to separate from the cell margin and undergo a finite retrograde retraction. In contrast, inhibition of myosin II function either with the wide-spectrum protein kinase inhibitor staurosporine or the myosin light chain kinase–specific inhibitor KT5926 stopped flow in the cell center, whereas normal retrograde flow continued at the cell periphery. These differential results suggest that the mechanism of retrograde flow has two, spatially segregated components. We propose a “push–pull” mechanism in which actin polymerization drives flow at the cell periphery, whereas myosin II provides the tension on the actin cytoskeleton necessary for flow in the cell interior.

The Yeast GRD20 Gene Is Required for Protein Sorting in the trans-Golgi Network/Endosomal System and for Polarization of the Actin Cytoskeleton

The proper localization of resident membrane proteins to the trans-Golgi network (TGN) involves mechanisms for both TGN retention and retrieval from post-TGN compartments. In this study we report identification of a new gene, GRD20, involved in protein sorting in the TGN/endosomal system of Saccharomyces cerevisiae. A strain carrying a transposon insertion allele of GRD20 exhibited rapid vacuolar degradation of the resident TGN endoprotease Kex2p and aberrantly secreted ∼50% of the soluble vacuolar hydrolase carboxypeptidase Y. The Kex2p mislocalization and carboxypeptidase Y missorting phenotypes were exhibited rapidly after loss of Grd20p function in grd20 temperature-sensitive mutant strains, indicating that Grd20p plays a direct role in these processes. Surprisingly, little if any vacuolar degradation was observed for the TGN membrane proteins A-ALP and Vps10p, underscoring a difference in trafficking patterns for these proteins compared with that of Kex2p. A grd20 null mutant strain exhibited extremely slow growth and a defect in polarization of the actin cytoskeleton, and these two phenotypes were invariably linked in a collection of randomly mutagenized grd20 alleles. GRD20 encodes a hydrophilic protein that partially associates with the TGN. The discovery of GRD20 suggests a link between the cytoskeleton and function of the yeast TGN.

Molecular basis for a link between complement and the vascular complications of diabetes

Activated terminal complement proteins C5b to C9 form the membrane attack complex (MAC) pore. Insertion of the MAC into endothelial cell membranes causes the release of growth factors that stimulate tissue growth and proliferation. The complement regulatory membrane protein CD59 restricts MAC formation. Because increased cell proliferation characterizes the major chronic vascular complications of human diabetes and because increased glucose levels in diabetes cause protein glycation and impairment of protein function, we investigated whether glycation could inhibit CD59. Glycation-inactivation of CD59 would cause increased MAC deposition and MAC-stimulated cell proliferation. Here, we report that (i) human CD59 is glycated in vivo, (ii) glycated human CD59 loses its MAC-inhibitory function, and (iii) inactivation of CD59 increases MAC-induced growth factor release from endothelial cells. We demonstrate by site-directed mutagenesis that residues K41 and H44 form a preferential glycation motif in human CD59. The presence of this glycation motif in human CD59, but not in CD59 of other species, may help explain the distinct propensity of humans to develop vascular proliferative complications of diabetes.