[pt] O fenômeno de estabilidade de tensão é um problema associado ao fluxo de potência ativa e reativa nas linhas de transmissão. A manifestação mais conhecida do fenômeno é a existência de uma máxima carga que pode ser alimentada pela rede, mas, atualmente também se sabe da existência de uma máxima injeção de potência ativa e reativa na rede por geradores e compensadores. É apresentado um método para avaliar as condições de carregamento da rede e detectar barras críticas. Identifica-se a sub-rede utilizada para transmitir potência ativa de ou para a barra critica, determinam-se os caminhos de transmissão que a compõem e identifica-se o ramo crítico do caminho mais carregado. É o ramo a ter seu fluxo de potência diminuído. Nesta dissertação foi proposta a determinação da sub-rede quando a barra em análise é de tensão controlada por compensador. Além disso, foram propostas modificações no método existente: injeção de potência ao invés de admitância equivalente no isolamento da sub-rede e dos caminhos de transmissão, e índices de estabilidade ao invés de fórmulas analíticas na determinação do caminho mais carregado e do ramo crítico. / [en] The voltage stability phenomenon is a problem related with the flow of active and reactive power in transmission lines. The main characteristic of this phenomenon is the existence of a maximum load that can be supplied by the network, but actually it is also known the existence of a maximum active and reactive power injection at the network supplied by generators and compensators. In this dissertation, a method is presented to evaluate the conditions of the network loadability and the critical buses identification. The network used to transmit the active power from or to a critical bus and its transmissions lines are identified, and identify the critical branch of the most loaded transmission path. This critical branch will have its power flow reduced. In this dissertation, is proposed the determination of the sub-transmission network when the bus under analysis has its voltage controlled by compensator. Furthermore, were proposed modifications to the current method: power injection rather than equivalent admittance in isolation of the sub-transmission network and the transmission paths and also, using voltage stability indexes rather than using analytical formulas to determine the most loaded path and critical branch.

[pt] Na medida em que as redes de transmissão de energia elétrica ficaram mais malhadas, os limites térmicos de linhas e transformadores passaram a restringir menos a transmissão de potência. Similarmente, o uso de sistemas estáticos de compensação de potência reativa e estabilizadores na excitação dos geradores aumentou a capacidade de transmissão de potência nos sistemas antes limitados por problemas de estabilidade angular. Hoje as linhas de transmissão estão mais carregadas e isto deu origem ao problema da instabilidade de tensão.Neste trabalho, as condições de estabilidade de tensão são avaliadas por condições nodais associadas ao máximo fluxo de potência ativa e reativa que pode ser transmitida dos geradores para as cargas. Estas condições nodais são avaliadas por uma ferramenta analítica com base em modelo matemático, simples mas poderoso, de uma direta interpretação física do fenômeno.Índices abrangentes e significativos são obtidos a partir da matriz Jacobiano do sistema. Eles indicam a região de operação na curva V x P, Q , a margem em MVA para o máximo carregamento, a importância relativa entre as barras, uma medida de dificuldade de transmissão, e o índice de influência que relaciona as margens de potência entre dois pontos de operação, o que caracteriza a eficácia ou não, por exemplo, de uma ação de controle. O método proposto nesta tese para reforçar as condições de estabilidade de tensão consiste de três etapas seqüenciais. Primeiramente, avalia-se as condições de estabilidade de tensão determinando-se a barra crítica da rede através do cálculo da margem de potência. Determinase o caminho de transmissão crítico, conceito novo usado neste trabalho, entre os vários existentes para transportar potência de geradores para aquela barra crítica. Determina-se então o ramo crítico deste caminho, conceito introduzido neste trabalho. Um programa de fluxo de potência ótimo é usado para aliviar o carregamento desse ramo crítico. A seqüência começa novamente com a avaliação das condições no novo ponto de operação. Todas as etapas são repetidas até que as margens resultantes sejam julgadas adequadas.Barras de carga, de geração e de tensão controlada por compensadores de potência reativa em paralelo com a rede podem ser eleitas como a barra crítica. Somente o método de avaliação nodal usado é capaz de lidar com qualquer tipo de barra. Da mesma forma, o procedimento proposto para reforçar as condições de estabilidade de tensão é adequado para qualquer tipo de barra.São mostrados inúmeros testes, tanto ilustrativos como com sistemas reais, em pontos de operação também reais, inclusive na situação de iminente colapso de tensão. Verifica-se que o método proposto realmente produz os resultados desejados. / [en] As the electric power transmission networks became more interconnected, the thermal limits of lines and transformers restrict less the power transmission. Similarly, the use of static systems of reactive power compensation increases the power transmission capacity in systems whereas before they were limited by problems of angular stability. Actually, transmission lines are more loaded and create the voltage stability problem. In this work, voltage stability conditions are assessment by nodal conditions associated to the maximum active and reactive power flow that can be transmitted from generators to loads.These nodal conditions are assessment using an analytical tool, based on a simple but sound mathematical background, modelling a straightforward physical haracterisation of the phenomena. Comprehensive and meaningful indices are obtained from system Jacobean matrix. They indices indicate the operating region in V x P,Q curve, the MVA margin to the maximum load, the relative importance among buses, the buses loading ranking, a measure of difficult for power transmission, and the influence indices that relates power margins between two operating points, which characterises efficiency or not, for example, of a control action.In order to reinforce voltage stability condition, the thesis proposes a method consisting of three sequential stages. Firstly, voltage stability is analysed, deciding network critical bus using the power margin calculation. Next, the critical transmission path is decided, which is a new concept used in this work, in between several existing used to transport generators power for that critical bus. Then, critical branch is obtained through this path, concept introduced in this work. An optimal power flow program is used to alleviate load flow in the critical branch. The sequence starts again with the stability condition assessment in the new operating point. All stages are repeated until resultant margins are judged suitable. Load, generation and voltage-controlled bus by shunt reactive power compensators could be considered critical bus. The nodal method used is the only one capable of handling any bus type.Several cases are shown, illustrative as well as real systems using real operating points,including imminent voltage collapse situations. It is verified that the proposed method really produces the desired results.

Diplomová práce pojednává o výrobě elektrické energie větrnými elektrárnami a jejím vlivu na napěťovou stabilitu v synchronně propojené elektrizační soustavě kontinentální Evropy. Úvod práce je obecně zaměřen na problematiku větrné energetiky se zaměřením na nejčastěji používané generátory pro větrné turbíny. V další části práce je proveden rozbor instalované kapacity větrných elektráren v zemích synchronně propojené elektrizační soustavy kontinentální Evropy a jsou představeny scénáře růstu větrné energetiky do budoucna. V rámci těchto zemí je také zařazen přehled potenciálu větrné energie na pevnině a na moři. Dále je práce zaměřená na napěťovou stabilitu, kde je pojednáno o kompenzačních prostředcích a možnostech regulace napětí. Závěr teoretické části je věnován možnostem předpovědi počasí a dopadu změn počasí na výrobu elektrické energie. V praktické části diplomové práce byla provedena simulace plánované větrné farmy a sledování jejího vlivu na napěťovou stabilitu v konkrétní části přenosové soustavy.

Electricity grids require the ancillary services frequency control, grid operation, re-establishment of supply and voltage stability for a proper operation. Historically, conventional power plants in the transmission grid were the main source providing these services. An increasing share of decentralized renewable energy in the electricity mix causes decreasing dispatch times for conventional power plants and may consequently lead to a partial replacement of these technologies. Decentralized energy sources are technically capable of providing ancillary services. This work focuses on the provision of reactive power for voltage stability from decentralized sources. The aim is to answer the question of how voltage stability and reactive power management can be achieved in a future electricity system with increasing shares of decentralized renewable energy sources in an economical and efficient way. A methodology that takes reactive power and voltage stability in an electricity system into account is developed. It allows for the evaluation of the economic benefits of different reactive power supply options. A non-linear and a linearized techno-economic grid model are formulated for this purpose. The analysis reveals an increasing importance of reactive power from the distribution grid in future development scenarios, in particular if delays in grid extension are taken into account. The bottom-up assessment indicates a savings potential of up to 40 mio. EUR per year if reactive power sources in the distribution grid provide reactive power in a controlled manner. Although these savings constitute only a small portion of the total cost of the electricity system, reactive power from decentralized energy sources contributes to the change towards a system based on renewable energy sources. A comparison of different reactive power remuneration mechanisms shows that a variety of approaches exist that could replace the inflexible mechanisms of obligatory provision and penalized consumption of reactive power that are mostly in place nowadays.

[pt] O surgimento do fenômeno de estabilidade de tensão na operação dos sistemas elétricos motivou centenas de pesquisadores a desenvolverem métodos que permitam detectar a proximidade à instabilidade de tensão, com eficiência computacional, e tomar medidas acertadas para garantir a operação confiável e segura. Neste trabalho são utilizados e comparados diferentes métodos associados à análise de estabilidade de tensão. Para testes, foram utilizados vários sistemas sob diferentes níveis de carregamento, desde carga leve até o máximo carregamento, este obtido a partir do algoritmo de fluxo de potência continuado. O objetivo é localizar as barras críticas, isto é, aquelas onde não se pode aumentar a injeção de potência e que impedem o crescimento da carga do resto do sistema. / [en] The rise of voltage stability phenomenon in the operation of the electrical systems motivated hundreds of researchers to develop methods that allow them to detect the proximity to voltage instability, with computational efficiency, and take the right steps to ensure reliable and safe operation. This work used and compared different methods associated with the voltage stability analysis. For the tests were used various systems under different levels of loading, from light load to maximum load, this point obtained from the continuous power flow algorithm. The goal is to find the critical buses, that is, those at which the power injection cannot be increased and that avoid the growth of load in the rest of the system.

With increased penetration of renewable energy sources, maintaining equilibrium between production and consumption in the world’s electrical power systems (EPS) becomes more and more challenging. One way to increase stability and efficiency in an EPS is to use flexible alternating current transmission systems (FACTS). However, an EPS containing multiple FACTS-devices with overlapping areas of influence can lead to negative effects if the reference values they operate around are not updated with sufficient temporal resolution. The reference values are usually set manually by a system operator. The work in this master thesis has investigated how three different reinforcement learning (RL) algorithms can be used to set reference values automatically with higher temporal resolution than a system operator with the aim of increased voltage stability. The three RL algorithms – Q-learning, Deep Q-learning (DQN), and Twindelayed deep deterministic policy gradient (TD3) – were implemented in Python together with a 2-bus EPS test network acting as environment. The 2-bus EPS test network contain two FACTS devices: one for shunt compensation and one for series compensation. The results show that – with respect to reward – DQN was able to perform equally or better than non-RL cases 98.3 % of the time on the simulation test set, while corresponding values for TD3 and Q-learning were 87.3 % and 78.5 % respectively. DQN was able to achieve increased voltage stability on the test network while TD3 showed similar results except during lower loading levels. Q-learning decreased voltage stability on a substantial portion of the test set, even compared to a case without FACTS devices. To help with continued research and possible future real life implementation, a list of suggestions for future work has been established.

[pt] Nos sistemas de potência ao redor do mundo, inclusive o brasileiro, são feitas as medições dos níveis de tensão nos barramentos e a corrente nos ramos de transmissão durante algum tipo de contingência em tempo real. A lista de contingências inclui: a perda de qualquer ramo de transmissão, a perda de alguns pares de ramos e, de menor importância, a perda de geração. Nesse momento, também são avaliadas as condições de estabilidade de tensão. A inclusão na lista de contingências de perda de controle de tensão devido ao esgotamento da fonte controladora (gerador, compensador, tap de LTC) em todas as barras de tensão controlada e também a perda de capacidade de aumentar/diminuir a geração de potência ativa em todos os geradores da rede permite identificar o grau de sensibilidade de cada grandeza contingenciada sobre a margem de estabilidade de tensão. Depois de feita a análise dos esgotamentos, é determinado em ordem decrescente as tensões e as gerações que mais influenciam a margem de estabilidade de tensão de uma determinada barra. Esse resultado indica as direções do movimento das grandezas. Portanto, para melhorar a margem da barra crítica, devem-se calcular ações de controle, ou seja, variar a tensão e/ou a potência ativa dos geradores, encontrando assim um novo ponto de operação. Esse novo ponto de operação deve ser buscado através de algoritmos genéticos. O desvio mínimo quadrático em relação ao ponto de operação do caso base deve ser observado, ou seja, busca-se um novo ponto de operação que não seja muito distante ao caso base. No algoritmo genético, a tensão dos geradores é a variável; a sua variação é discreta em degraus de 0,01 pu (em módulo). Também há casos em que potência ativa dos geradores será variável do GA e tendo suas variações em degraus de 5 porcento em módulo em relação ao caso base. São realizados diversos testes para encontrar o novo ponto de operação, buscando encontrar os menores desvios possíveis enquanto melhora-se a margem de potência. No primeiro sistema utilizado (CEPEL-34) duas configurações dentre os testes feitos para o GA se sobressaem das demais e por isso são usadas para outro sistema (Nórdico). Em ambos os sistemas o objetivo inicial é cumprido. / [en] Power systems around the world, including the Brazilian one, measure the voltage levels on the buses and the current in the transmission branches during some type of contingency in real time. The list of contingencies includes: the loss of any branch of transmission, the loss of some pairs of branches and, of less importance, the loss of generation. At that time, the voltage stability conditions are also evaluated. The inclusion in the list of contingencies of loss of voltage control due to the exhaustion of the controlling source (generator, compensator, LTC tap) in all controlled voltage bars and also the loss of capacity to increase / decrease the generation of active power in all generators in the network make it possible to identify the degree of sensitivity of each contingent quantity on the voltage stability margin. After the analysis of the exhausts, the tensions and generations that most influence the voltage stability margin of a given bar are determined in decreasing order. This result indicates the directions of movement of the quantities. Therefore, to improve the margin of the critical bar, control actions must be calculated, that is, vary the voltage and / or the active power of the generators, thus finding a new point of operation. This new point of operation must be sought through genetic algorithms. The minimum quadratic deviation in relation to the operating point of the base case must be observed, that is, a new operating point that is not far from the base case is sought. In the genetic algorithm, the voltage of the generators is the variable; its variation will be discrete in steps of 0.01 pu (in module). There will also be cases in which the active power of the generators will be variable in the GA and having their variations in steps of 5 percent in module in relation to the base case. Several tests are carried out to find the new operating point, seeking to find the smallest possible deviations while improving the power margin. In the first system used (CEPEL-34) two configurations among the tests made for GA stand out from the others and therefore replicated to another system (Nordic). In both systems the initial objective is fulfilled.

[pt] O fenômeno associado à estabilidade de tensão se caracteriza pela existência de valores máximos de potência ativa e reativa que podem ser transferidas a uma barra de carga, ou injetada na rede através dos geradores e compensadores síncronos. Sua relevância para o setor elétrico é constantemente reforçada pelo registro de ocorrências de colapsos de tensão em diversos países do mundo e, embora a instabilidade de tensão manifeste-se localmente, suas consequências se refletem na ampla deterioração do sistema. Impulsionado pelo crescente interesse a respeito dos métodos baseados em medições fasoriais sincronizadas para a detecção do máximo carregamento, este trabalho apresenta os principais modelos encontrados na literatura baseados em medições locais e no vasto monitoramento do sistema, com maior ênfase aos métodos de Corsi-Taranto e Circuito Acoplado de Porta-Simples Aprimorado (CAPS Aprimorado). Algumas contribuições são sugeridas ao modelo CAPS Aprimorado tendo em vista sua aplicação ao conjunto de barras de transferência e de geração. Explora-se a utilização dos equivalentes multi-portas como índice de avaliação das condições de estabilidade de tensão, comparando a identificação da barra crítica aos métodos da matriz D e dos autovalores e autovetores. São evidenciadas as principais limitações dos modelos mediante a um conjunto de análises estáticas e dinâmicas, considerando diferentes cenários de carregamento, a sensibilidade dos modelos ao ruído e a resposta dos métodos em face da atuação dos limitadores de sobre-excitação. / [en] The voltage stability phenomenon is characterized by the existence of a maximum active and reactive power that can be transferred to a load bus or injected into the network through the generators and synchronous compensators. Its relevance to the electric power sector is constantly reinforced by the record of occurrences of voltage collapses in several countries around the world. Although the voltage instability manifests itself locally, its consequences is reflected in the wide deterioration of the system. Driven by growing interest in methods based on synchronized phasor measurements for maximum loadability detection, this work presents the main models found in the literature based on local measurements and wide area monitoring, emphasizing the Corsi-Taranto method and Improved Coupled Single-Port Circuit (Improved CAPS). Some contributions are suggested to the Improved CAPS model considering its application to the set of transit and controlled buses. The use of the multi-port equivalents is explored as the evaluation index of voltage stability conditions, comparing the identification of the critical bus to the D matrix method and eigenvalues and eigenvalues method. The main limitations of the models are demonstrated through a static and dynamic studies, as well different loading scenarios, the sensitivity of the models to the noise and the response of the methods when the over-excitation limiters are considered.

In order to identify the weakest bus in a power system so that the Unified Power Flow Controller could be connected, an investigation of static and dynamic voltage stability is presented. Two stability indices, static and dynamic, have been proposed in the thesis. Multi-Input Multi-Output (MIMO) analysis has been used for the dynamic stability analysis. Results based on the Western System Coordinate Council (WSCC) 3-machine, 9-bus test system and IEEE 14 bus Reliability Test System (RTS) shows that these indices detect with the degree of accuracy the weakest bus, the weakest line and the voltage stability margin in the test system before suffering from voltage collapse. Recently, Flexible Alternating Current Transmission systems (FACTs) have become significant due to the need to strengthen existing power systems. The UPFC has been identified in literature as the most comprehensive and complex FACTs equipment that has emerged for the control and optimization of power flow in AC transmission systems. Significant research has been done on the UPFC. However, the extent of UPFC capability, connected to the weakest bus in maintaining the power flows under fault conditions, not only in the line where it is installed, but also in adjacent parallel lines, remains to be studied. In the literature, it has normally been assumed the UPFC is disconnected during a fault period. In this investigation it has been shown that fault conditions can affect the UPFC significantly, even if it occurred on far buses of the power system. This forms the main contribution presented in this thesis. The impact of UPFC in minimizing the disturbances in voltages, currents and power flows under fault conditions are investigated. The WSCC 3-machine, 9-bus test system is used to investigate the effect of an unsymmetrical fault type and position on the operation of UPFC controller in accordance to the G59 protection, stability and regulation. Results show that it is necessary to disconnect the UPFC controller from the power system during unsymmetrical fault conditions. / Libyan Government

The research is motivated by the need to address two major challenges in wind power integration: how to mitigate wind power fluctuation and how to ensure stability of the farm and host grid. It is envisaged that wind farm power output fluctuation can be reduced by using a specific type of buffer, such as an energy storage system (ESS), to absorb its negative impact. The proposed solution, therefore, employs ESS to solve the problems. The key research findings include a new technique for calculating the desired power output profile, an ESS charge-discharge scheme, a novel direct-calculation (optimization-based) method for determining ESS optimal rating, and an ESS operation scheme for improving wind farm transient stability. Analysis with 14 wind farms and a compressed-air energy storage system (CAES) shows that the charge-discharge scheme and the desired output calculation technique are appropriate for ESS operation. The optimal ESSs for the 14 wind farms perform four or less switching operations daily (73.2%-85.5% of the 365 days) while regulating the farms output variation. On average, the ESSs carry out 2.5 to 3.1 switching operations per day. By using the direct-calculation method, an optimal ESS rating can be found for any wind farm with a high degree of accuracy. The method has a considerable advantage over traditional differential-based methods because it does not require knowledge of the analytical form of the objective function. For ESSs optimal rating, the improvement in wind energy integration is between 1.7% and 8%. In addition, a net increase in grid steady-state voltage stability of 8.3%-18.3% is achieved by 13 of the 14 evaluated ESSs. For improving wind farm transient stability, the proposed ESS operation scheme is effective. It exploits the use of a synchronous-machine-based ESS as a synchronous condenser to dynamically supply a wind farm with reactive power during faults. Analysis with an ESS and a 60-MW wind farm consisting of stall-regulated wind turbines shows that the ESS increases the farm critical clearing time (CCT) by 1 cycle for worst-case bolted three-phase-to-ground faults. For bolted single-phase-to-ground faults, the CCT is improved by 23.1%-52.2%. / text