A presente dissertação tem como objetivo estudar e aprimorar métodos de projetos de controladores para sistemas de potência, sendo que esse trabalho trata da estabilidade dinâmica de sistemas de potência e, portanto, do projeto de controladores amortecedores de oscilações eletromecânicas para esses sistemas. A escolha dos métodos aqui estudados foi orientada pelos requisitos que um estabilizador de sistemas de potência (ESP) deve ter, que são robustez, descentralização e coordenação. Sendo que alguns deles tiveram suas características aprimoradas para atender a esses requisitos. A abordagem dos métodos estudados foi restringida à análise no domínio tempo, pois a abordagem temporal facilita a modelagem das incertezas paramétricas, para atender ao requisito da robustez, e também permite a formulação do controle descentralizado de maneira simples. Além disso, a abordagem temporal permite a formulação do problema de projeto utilizando desigualdades matriciais lineares (LMI’s), as quais possuem como vantagem o fato do conjunto solução ser sempre convexo e a existência de algoritmos eficientes para o cálculo de sua solução. De fato, existem diversos pacotes computacionais desenvolvidos no mercado para o cálculo da solução de um problema de inequações matriciais lineares. Por esse motivo, os métodos de projeto para controladores de saída buscam sempre colocar o problema na forma de LMI’s, tendo em vista que ela garante a obtenção de solução, caso essa solução exista. / The current work aims to study and improve the power system controllers design methods. And we are interested in the dynamic stability of power systems, and thus, in the design of electromechanical oscillations damping controllers. The design methods studied here were chosen to fill the requirements that a power system stabilizer (PSS) must obey, that are robustness, decentralization and coordination. And the characteristics of some of these methods were improved and extended in order to meet these requirements. The approach of the studied methods is restricted to the time domain analysis because of the easiness to model the parametric uncertainties, to meet the robustness requirement, and because it also simplifies the formulation of the decentralized control problem. Moreover the time domain approach allows one to use linear matrix inequalities (LMI’s) to formulate the design problem, which has the advantages that the solution set is always convex, and that there exists efficient algorithms to compute its solution. There are several software packages developed, in the market, to solve the problem of linear matrix inequality. So that the design methods using output controllers always try to formulate this problem in the form of an LMI, because it guarantees that one can obtain a solution for the problem, in the case that this solution exists.

A presente dissertação tem como objetivo estudar e aprimorar métodos de projetos de controladores para sistemas de potência, sendo que esse trabalho trata da estabilidade dinâmica de sistemas de potência e, portanto, do projeto de controladores amortecedores de oscilações eletromecânicas para esses sistemas. A escolha dos métodos aqui estudados foi orientada pelos requisitos que um estabilizador de sistemas de potência (ESP) deve ter, que são robustez, descentralização e coordenação. Sendo que alguns deles tiveram suas características aprimoradas para atender a esses requisitos. A abordagem dos métodos estudados foi restringida à análise no domínio tempo, pois a abordagem temporal facilita a modelagem das incertezas paramétricas, para atender ao requisito da robustez, e também permite a formulação do controle descentralizado de maneira simples. Além disso, a abordagem temporal permite a formulação do problema de projeto utilizando desigualdades matriciais lineares (LMI’s), as quais possuem como vantagem o fato do conjunto solução ser sempre convexo e a existência de algoritmos eficientes para o cálculo de sua solução. De fato, existem diversos pacotes computacionais desenvolvidos no mercado para o cálculo da solução de um problema de inequações matriciais lineares. Por esse motivo, os métodos de projeto para controladores de saída buscam sempre colocar o problema na forma de LMI’s, tendo em vista que ela garante a obtenção de solução, caso essa solução exista. / The current work aims to study and improve the power system controllers design methods. And we are interested in the dynamic stability of power systems, and thus, in the design of electromechanical oscillations damping controllers. The design methods studied here were chosen to fill the requirements that a power system stabilizer (PSS) must obey, that are robustness, decentralization and coordination. And the characteristics of some of these methods were improved and extended in order to meet these requirements. The approach of the studied methods is restricted to the time domain analysis because of the easiness to model the parametric uncertainties, to meet the robustness requirement, and because it also simplifies the formulation of the decentralized control problem. Moreover the time domain approach allows one to use linear matrix inequalities (LMI’s) to formulate the design problem, which has the advantages that the solution set is always convex, and that there exists efficient algorithms to compute its solution. There are several software packages developed, in the market, to solve the problem of linear matrix inequality. So that the design methods using output controllers always try to formulate this problem in the form of an LMI, because it guarantees that one can obtain a solution for the problem, in the case that this solution exists.

Master of Science / Department of Electrical and Computer Engineering / Shelli Starrett / Variability in power systems is increasing due to pushing the system to limits for economic purposes, the inclusion of new energy sources like wind turbines and photovoltaic, and the introduction of new types of loads such as electric vehicle chargers. In this new environment, system monitoring and control must keep pace to insure system stability and reliability on a wide area scale. Phasor measurement unit technology implementation is growing and can be used to provide input signals to new types of control. Fuzzy logic based power system stabilizer (PSS) controllers have also been shown effective in various studies. This thesis considers several choices of input signals, composed assuming phasor measurement availability, for fuzzy logic-based controllers. The purpose of the controller is to damp power systems’ low frequency oscillations. Nonlinear transient simulation results for a 4-machine two-area system and 50 machine system are used to compare the effects of input choice and controller type on damping of system oscillations. Reactive power in the system affects voltage, which in turn affects system damping and dynamic stability. System stability and damping can be enhanced by deploying SVC controllers properly. Different types of power system variables play critical role to damp power swings using SVC controller. A fuzzy logic based static var compensator (SVC) was used near a generator to damp these electromechanical oscillations using different PMU-acquired inputs. The goal was again improve dynamic stability and damping performance of the system at local and global level. Nonlinear simulations were run to compare the damping performance of different inputs on the 50 machine system.

A presente dissertação tem como objetivo estudar e aprimorar métodos de projetos de controladores para sistemas de potência, sendo que esse trabalho trata da estabilidade dinâmica de sistemas de potência e, portanto, do projeto de controladores amortecedores de oscilações eletromecânicas para esses sistemas. A escolha dos métodos aqui estudados foi orientada pelos requisitos que um estabilizador de sistemas de potência (ESP) deve ter, que são robustez, descentralização e coordenação. Sendo que alguns deles tiveram suas características aprimoradas para atender a esses requisitos. A abordagem dos métodos estudados foi restringida à análise no domínio tempo, pois a abordagem temporal facilita a modelagem das incertezas paramétricas, para atender ao requisito da robustez, e também permite a formulação do controle descentralizado de maneira simples. Além disso, a abordagem temporal permite a formulação do problema de projeto utilizando desigualdades matriciais lineares (LMI’s), as quais possuem como vantagem o fato do conjunto solução ser sempre convexo e a existência de algoritmos eficientes para o cálculo de sua solução. De fato, existem diversos pacotes computacionais desenvolvidos no mercado para o cálculo da solução de um problema de inequações matriciais lineares. Por esse motivo, os métodos de projeto para controladores de saída buscam sempre colocar o problema na forma de LMI’s, tendo em vista que ela garante a obtenção de solução, caso essa solução exista. / The current work aims to study and improve the power system controllers design methods. And we are interested in the dynamic stability of power systems, and thus, in the design of electromechanical oscillations damping controllers. The design methods studied here were chosen to fill the requirements that a power system stabilizer (PSS) must obey, that are robustness, decentralization and coordination. And the characteristics of some of these methods were improved and extended in order to meet these requirements. The approach of the studied methods is restricted to the time domain analysis because of the easiness to model the parametric uncertainties, to meet the robustness requirement, and because it also simplifies the formulation of the decentralized control problem. Moreover the time domain approach allows one to use linear matrix inequalities (LMI’s) to formulate the design problem, which has the advantages that the solution set is always convex, and that there exists efficient algorithms to compute its solution. There are several software packages developed, in the market, to solve the problem of linear matrix inequality. So that the design methods using output controllers always try to formulate this problem in the form of an LMI, because it guarantees that one can obtain a solution for the problem, in the case that this solution exists.

nÃo hà / Este trabalho apresenta a aplicaÃÃo do algoritmo de OtimizaÃÃo por Enxame de PartÃculas (PSO â Particle Swarm Optimization) para sintonia Ãtima de controladores associados à regulaÃÃo de tensÃo e ao aumento do amortecimento de geradores sÃncronos utilizados em plantas termelÃtricas de ciclo combinado. Para representaÃÃo matemÃtica do gerador sÃncrono, utiliza-se o modelo linearizado de terceira ordem do sistema mÃquina conectada a uma barra infinita, vÃlido para estudos de estabilidade a pequenos sinais. Os parÃmetros do regulador automÃtico de tensÃo (AVR â Automatic Voltage Regulator) e do estabilizador de sistema de potÃncia (PSS â Power System Stabilizer) sÃo determinados de maneira Ãtima pela ferramenta computacional proposta. Os parÃmetros obtidos para o AVR e PSS sÃo comparados com valores calculados por tÃcnicas de sintonia convencionais, baseadas em aproximaÃÃes das equaÃÃes que descrevem o sistema. Os resultados de simulaÃÃes a variaÃÃes na tensÃo de referÃncia, considerando a anÃlise da resposta temporal do sistema controlado, demonstram que o PSO à uma tÃcnica eficiente na sintonia dos parÃmetros do AVR e PSS, destacando-se sua simplicidade, baixo esforÃo computacional e boa caracterÃsticas de convergÃncia. / This work presents the application of the Particle Swarm Optimization (PSO) algorithm for optimal tuning of controllers associated with voltage regulation and damping enhancement of synchronous generators used in combined cycle power station. For mathematic representation of the synchronous generator, the third order linearized model of a single machine connected to an infinite bus, valid for small signal stability studies, is used. The Automatic Voltage Regulator (AVR) and Power System Stabilizer (PSS) parameters are optimally determined by the proposed computational tool. The parameters obtained for AVR and PSS are compared with values calculated by conventional tuning techniques based on approximations of the equations that describe the system. The simulations results to reference voltage disturbances, considering the time response analysis of the controlled system, show that PSO is an efficient technique in the tuning of AVR and PSS parameters, with emphasis on its simplicity, low computational effort and good convergence characteristics.

No description available.

Small signal oscillation has been always a major concern in the operation of power systems. In a generator, the electromechanical coupling between the rotor and the rest of the system causes it to behave in a manner similar to a spring mass damper system, which exhibits an oscillatory behaviour around the equilibrium state, following any disturbance, such as sudden change in loads, fluctuations in the output of turbine and faults etc. The use of fast acting high gain AVRs and evolution of large interconnected power systems with transfer of bulk power across weak transmission links have further aggravated the problem of these low frequency oscillations. Small oscillations in the range of about 0.1Hz to 3.5Hz can persist for long periods, limiting the power transfer capability of the transmission lines. Power System Stabilizers (PSS’s) were developed as auxiliary controllers on the generators excitation system to produce additional damping by modulating the generator excitation voltage. Designing effective PSS for all operating conditions specially in large interconnected power systems still remains a difficult and challenging task. The conventionally designed Power System Stabilizer (CPSS) is the most cost-effective electromechanical damping controller till date. However, continual changes in the operating condition and network parameters in large systems result in corresponding large changes in system dynamics. This constantly changing nature of power system makes the design of CPSS a difficult task. The design and tuning of PSS for robust operation is a laborious process. The existing PSS design techniques require considerable expertise, the complete system information and extensive eigenvalue calculations which increases the computational burden as the system size increases. This thesis proposes a method for designing robust power system damping controllers that ensures a minimum robustness under model uncertainties. The minimum performance required for the PSS is set a priori and accomplished over a range of operating conditions. A generalized robust controller design methodology has been first implemented on a Single Machine Infinite Bus (SMIB) power system model. The robust controller places the closed loop rotor modes of the system to the desire location while keeping the electrical modes intact. Unlike conventional lead/lag PSS design, the proposed PSS design is based on pole assignment technique which takes into account of various model uncertainties. For the proposed stabilizer design in a multi-machine systems a new decentralized method has been used which requires system data only upto secondary bus of the unit transformer in a generating station. The proposed robust controller design based on modified Nevanlinna-Pick theory has been designed and tested extensively on SMIB and multi-machine systems to establish the efficacy of the controller in damping small signal oscillations. The thesis is organized in four chapters as follows. The first chapter discusses the basic concepts related to the rotor angle stability in power system. The conventional and other methods of countering this instability by power system stabilizers have been described. The relative merits of the various stabilization techniques have been discussed. The scope of present work, i.e design of decentralized robust power system controllers has been defined. In second chapter a modified robust power system stabilizer for SMIB system is developed. It has been shown that under specific conditions the modified Nevanlinna-Pick theory can also be applied for designing damping controllers in system with lightly damped rotor modes. Third chapter proposes a decentralized approach based on modified Nevanlinna-Pick theory for designing a power system stabilizer for interconnected power systems. The performance of the controller which is not based on external system information has been investigated on three widely used multi-machine test systems to established its efficacy in damping out low frequency oscillations. The fourth chapter gives a brief summary of the work done and also includes a section on the scope of future work relating to design of power system stabilizers.

The aim of this project is to analyze how increasing the share of converter-based power production in a power system affects the small signal stability. The project also aims to stabilize systems using Power System Stabilizers (PSSs), and examine the effect of two different types of power electronic converters: grid following (GFL) and grid forming (GFM). To do this, a short-circuit fault is simulated in a two-area four-machine power system using DIgSILENT PowerFactory. The project examines how replacing one of the synchronous machines with a converterbased power source affects the system’s stability. Modal analysis is used to assess the small signal stability, as well as to tune the PSS. In the project PSSs are successfully used to stabilize systems, both with and without converter-based power production. The study also finds that implementing power production using GFL worsens the small signal stability while GFM improves it. / Syftet med det här projektet är att analysera hur den ökande andelen converter baserad elproduktion påverkar small signal stability i ett elkraftsystem. Projektets syft är också att stabilisera system med Power System Stabilizers (PSSs), och undersöka påverkan av två typer av effektelektronik: grid following converter (GFL) och gird forming converter (GFM). Det görs genom att simulera ett kortslutningsfel i ett elkraftsystem med DIgSILENT PowerFactory. I projektet undersöks hur systemets stabilitet påverkas av att ersätta en synkrongenerator med effektelektronik-kopplad elproduktion. Egenvärdesanalys används för att undersöka small signal stability och implementera PSS. I projektet lyckas stabiliseringen med PSS för både systemet med och utan effektelektronik-kopplade energikällor. Studien visar också att genom implementeringen av energikällor med sämras stabiliteten, medan GFM förbättrar den. / Kandidatexjobb i elektroteknik 2022, KTH, Stockholm

With the rise of global sustainability energy initiatives,the implementation of renewable energy sources infuture electrical grids is increasing. Many of the renewableenergy sources are however intermittent, meaning they providevarying levels of power. As grids meet the demand of largerloads of intermittent renewable energy sources, small signalinstability arises as result of the power oscillations. Small signalinstability occurs when a system cannot return to steady stateafter being exposed to small disturbances. One method to damppower oscillations in an unstable system is by using a PowerSystem Stabilizer (PSS). The goal of this project is to tunea PSS or PSSs required to successfully damp out the poweroscillations in a system which is small signal unstable without anyPSSs connected. The PSSs are tuned through a trial and errorapproach, and the system is a Kundur two-area four-machineMATLAB Simulink model. Overall, the trial and error methodis successful in tuning PSSs, which damp out the system’s poweroscillations. Other methods of tuning are discussed and comparedin terms of efficiency to damp out power oscillations. / Med en ökning av globala hållbarhetsinitiativförväntas implementeringen av förnybara energikälloröka i elnäten. Förnyelsebara energikällor som sol och vindär intermittenta, vilket innebär att de ger varierande effektnivåer.När nätet belastas med intermittenta energikällor uppstårlågfrekvensfel, vilket skapar oscillationer i spänning. För attdämpa svängningarna i ett instabilt system kan en Power SystemStabilizer (PSS) användas. Målet med projektet är att regulera enPSS som dämpar svängningarna i ett system som har lågfrekvensfel.En metod baserat på trial-and-error används för att regleraPSS:en. Detta görs i en Kundur Two-Area four machine Systemsimuleringsmodell i mjukvaruprogrammen Simulink och Matlab.Trial-and-error-metoden lyckas reglera svängningarna med hjälpav två PSS som dämpar effektsvängningarna i systemet. Irapporten diskuteras även alternativa metoder för att dämpasvängningarna i ett instabilt system. / Kandidatexjobb i elektroteknik 2021, KTH, Stockholm

This study takes advantage of wide area measurements to propose a centralized nonlinear controller that acts on power system stabilizers, to cooperatively increase the damping of problematic small signal oscillations all over the system. The structure based on decision trees results in a simple, efficient, and dependable methodology that imposes much less computational burden than other nonlinear design approaches, making it a promising candidate for actual implementation by utilities and system operators. Details are given to utilize existing stabilizers while causing minimum changes to the equipment, and warranting improvement or at least no detriment of current system behavior. This enables power system stabilizers to overcome their inherent limitation to act only on the basis of local measurements to damp a single target frequency. This study demonstrates the implications of this new input on mathematical models, and the control functionality that is made available by its incorporation to conventional stabilizers. In preparation of the case of study, a heuristic dynamic reduction methodology is introduced that preserves a physical equivalent model, and that can be interpreted by any commercial software package. The steps of this method are general, versatile, and of easy adaptation to any particular power system model, with the aggregated value of producing a physical model as final result, that makes the approach appealing for industry. The accuracy of the resulting reduced network has been demonstrated with the model of the Central American System. / Ph. D.