Thesis (MEng (Electrical Engineering)--Cape Peninsula University of Technology, 2019 / The purpose of an electrical power system is to supply electrical energy to the customers. Power transformers are required to transform the system voltage from generation to transmission and distribution levels. Protection and control systems must ensure that power system high voltage equipment such as transformers operate and deliver save, reliable and secure electricity supply. The aim of the project research work is to develop and implement a strategy, methods and algorithms for monitoring, protection and voltage control of parallel power transformers based on IEC 61850-9-2 process bus standard. NamPower is a power utility in Namibia. The IEC 61850 protocol for electrical substation automation system is used for the protection and control of 5 power transformers operated in parallel in an existing substation system. The IEC 61850-9-2 process bus standard is however not used in regards of Sampled Values (SV). Protection and control devices are connected to a substation communication network, routers and switches using fibre optic linked Ethernet. Inductive Current Transformers (CTs) and Voltage Transformers (VTs) secondary circuits are hardwired to Intelligent Electronic Devices (IEDs) and fibre optic links are not used for this purpose at process level communication. The research focuses on the implementation of the IEC 61850 standard with Merging Units (MUs) and sampled values to improve the existing implemented protection and control system at NamPower. This includes substation communication networks and MUs used for transformer protection, voltage regulator control and cooling fan control. At the present the CTs located at the transformer bushings and switchgear and the VTs located at the switchgear are hardwired to the inputs on protection and control IEDs. The research focuses on issues with the copper wires for voltage and currents signals and how these issues can be eliminated by using the MUs and the SV protocol. The MUs which are considered in this Thesis is to improve the voltage regulator control and the control of the cooling fan motors. The voltage regulator control IED is situated at the tap change motor drive of the On-Load Tap Changer (OLTC). The IED of each transformer is required to regulate the voltage level of the secondary side bus bar it is connected to. All the regulating IEDs are required to communicate with each other and collectively to control the bus bar voltage depending on the switching configuration of the parallel transformers. The control circuit for controlling the cooling fan motors is hardwired. Temperature analogue signal input into a programmable automation controller IED can be used for controlling the transformer cooling fans. A strategy, methods and algorithms for transformer protection, voltage regulator control and cooling fan motor control of parallel power transformers need to be developed and implemented based on IEC 61850-9-2 process bus. Power utilities and distributors can benefit from interpretation of the IEC 61850-9-2 standard and implementing MUs and SV in substations. MUs can be included in the power transformer protection, automation and control systems. A cost reduction in high voltage equipment, substation installation and commissioning costs and better performance of protection and control system are anticipated.

Este projeto de pesquisa propõe desenvolver um novo modelo e uma nova abordagem para a resolução do problema da otimização Volt/VAr em redes de distribuição de energia elétrica. A otimização Volt/VAr consiste em, basicamente, determinar os ajustes das variáveis de controle tais como bancos de capacitores chaveados, transformadores com comutação de tap sob carga e reguladores de tensão, de modo a satisfazer, simultaneamente, as restrições de carga e de operação para um dado objetivo operacional. Esse problema, matematicamente, foi formulado como um problema de programação não linear, multiperíodo, e com variáveis contínuas e discretas. Algoritmos de programação não linear foram utilizados com o intuito de aproveitar as vantagens das matrizes altamente esparsas montadas ao longo do método de solução. Para utilizar tais algoritmos, as variáveis discretas são tratadas como contínuas por meio da utilização de funções senoidais que penalizam a função objetivo do problema original enquanto estas não convergirem para algum dos pontos pré-definidos no seu domínio. O caráter multiperíodo do problema, contudo, refere-se à consideração de uma restrição que relaciona os ajustes das variáveis de controle para sucessivos intervalos de tempo na medida em que limita o número de operações de chaveamento desses dispositivos para um período de 24-horas. O estudo fundamenta-se, metodologicamente, em métodos do tipo Primal-Dual Barreira-Logarítmica. Para demonstrar a eficiência do modelo proposto e a robustez dessa abordagem, a partir de dados teóricos obtidos de levantamentos bibliográficos, testes foram realizados em sistemas-teste de 10, 69 e 135 barras, e em um sistema de 442 barras do noroeste do Reino Unido. As implementações computacionais foram feitas nos softwares MATLAB, AIMMS e GAMS, utilizando o solver IPOPT como método de solução. Os resultados mostram que a abordagem proposta para a resolução do problema de programação não linear é eficaz para tratar adequadamente todas as variáveis presentes em problemas de otimização Volt/VAr. / This work proposes a new model and a new approach for solving the Volt / VAr optimization problem in distribution systems. The Volt/VAr optimization consists, basically, to determine the settings of the control variables of switched capacitor banks, on-load tap changer transformers and voltage regulators, in order to satisfy both the load and operational constraints, to a given operational objective. The problem is formulated as a nonlinear programming problem, multiperiod, and with continuous and discrete variables. Nonlinear programming algorithms were used in order to take advantage of the highly sparse matrices built along the solution method. The discrete variables are treated as continuous along the solution method by means of the use of sinusoidal functions that penalize the original objective function while the control variables do not converge to any of the predefined discrete points in its domain. The multiperiod, or dynamic, characteristic of the problem, however, refers to the use of a constraint that relates the settings of the control variables for successive time intervals that limits the control devices switching operations number for a period of 24-hours. The study is based, methodologically, on Primal-Dual Logarithmic Barrier method. To demonstrate the effectiveness of the proposed model and the robustness of this approach, the data were obtained from theoretical literature surveys, and tests were performed on test-systems of 10, 69 and 135 buses, and in a 442 buses located in the Northwest of the United Kingdom. The computational implementation was accomplished in the softwares MATLAB, AIMMS and GAMS, using the IPOPT solver as solution method. The results have shown the approach for solving nonlinear programming problems is effective to appropriate cope with all the variables presented in Volt/VAr optimization problems.

Este projeto de pesquisa propõe desenvolver um novo modelo e uma nova abordagem para a resolução do problema da otimização Volt/VAr em redes de distribuição de energia elétrica. A otimização Volt/VAr consiste em, basicamente, determinar os ajustes das variáveis de controle tais como bancos de capacitores chaveados, transformadores com comutação de tap sob carga e reguladores de tensão, de modo a satisfazer, simultaneamente, as restrições de carga e de operação para um dado objetivo operacional. Esse problema, matematicamente, foi formulado como um problema de programação não linear, multiperíodo, e com variáveis contínuas e discretas. Algoritmos de programação não linear foram utilizados com o intuito de aproveitar as vantagens das matrizes altamente esparsas montadas ao longo do método de solução. Para utilizar tais algoritmos, as variáveis discretas são tratadas como contínuas por meio da utilização de funções senoidais que penalizam a função objetivo do problema original enquanto estas não convergirem para algum dos pontos pré-definidos no seu domínio. O caráter multiperíodo do problema, contudo, refere-se à consideração de uma restrição que relaciona os ajustes das variáveis de controle para sucessivos intervalos de tempo na medida em que limita o número de operações de chaveamento desses dispositivos para um período de 24-horas. O estudo fundamenta-se, metodologicamente, em métodos do tipo Primal-Dual Barreira-Logarítmica. Para demonstrar a eficiência do modelo proposto e a robustez dessa abordagem, a partir de dados teóricos obtidos de levantamentos bibliográficos, testes foram realizados em sistemas-teste de 10, 69 e 135 barras, e em um sistema de 442 barras do noroeste do Reino Unido. As implementações computacionais foram feitas nos softwares MATLAB, AIMMS e GAMS, utilizando o solver IPOPT como método de solução. Os resultados mostram que a abordagem proposta para a resolução do problema de programação não linear é eficaz para tratar adequadamente todas as variáveis presentes em problemas de otimização Volt/VAr. / This work proposes a new model and a new approach for solving the Volt / VAr optimization problem in distribution systems. The Volt/VAr optimization consists, basically, to determine the settings of the control variables of switched capacitor banks, on-load tap changer transformers and voltage regulators, in order to satisfy both the load and operational constraints, to a given operational objective. The problem is formulated as a nonlinear programming problem, multiperiod, and with continuous and discrete variables. Nonlinear programming algorithms were used in order to take advantage of the highly sparse matrices built along the solution method. The discrete variables are treated as continuous along the solution method by means of the use of sinusoidal functions that penalize the original objective function while the control variables do not converge to any of the predefined discrete points in its domain. The multiperiod, or dynamic, characteristic of the problem, however, refers to the use of a constraint that relates the settings of the control variables for successive time intervals that limits the control devices switching operations number for a period of 24-hours. The study is based, methodologically, on Primal-Dual Logarithmic Barrier method. To demonstrate the effectiveness of the proposed model and the robustness of this approach, the data were obtained from theoretical literature surveys, and tests were performed on test-systems of 10, 69 and 135 buses, and in a 442 buses located in the Northwest of the United Kingdom. The computational implementation was accomplished in the softwares MATLAB, AIMMS and GAMS, using the IPOPT solver as solution method. The results have shown the approach for solving nonlinear programming problems is effective to appropriate cope with all the variables presented in Volt/VAr optimization problems.

Voltage imbalance in low voltage (LV) networks is expected to deteriorate as low carbon technologies, e.g. electric vehicles (EVs) and heat pumps (HPs) are increasingly deployed. The new electrical demand attributable to EVs and HPs would increase the voltage magnitude variation, increasing the possibility of voltages moving outside the statutory LV magnitude limits. Moreover, the single-phase nature of EVs and HPs, which will be connected via a single-phase 'line & neutral' cable to a 3-phase four-wire LV mains cable buried beneath the street, further entangles this voltage management problem; the non-balanced voltage variations in the three phases boost the levels of voltage imbalance. Excessive voltage imbalance and magnitude variation need to be mitigated to limit their adverse effects on the electric network and connected plant. The voltage imbalance in LV networks is conventionally reduced by reinforcing the network, generally at a high cost. Some modern methods for voltage imbalance mitigation have been introduced in recent years. The power electronic converter based methods are inadequate due to the generation of harmonics, significant power losses and short lifetime. Besides, automatic supply phase selection and smart EV charging rely on an advanced smart communication system, which currently is not available. This project aims to develop alternative solutions that mitigate the voltage imbalance seen in LV networks. A voltage balancing method based on Scott transformer (ST) is proposed. This method does not generate harmonics and is independent of the smart communication system. Computer simulations demonstrated the proposed method is able to convert a non-balanced 3-phase voltage into a balanced 3-phase voltage at either a point on the LV feeder or a 3-phase load supply point with the predefined voltage magnitude. Besides, a physical voltage balancing system was created based on the proposed method and it was tested in an LV network in the laboratory. The test results show the balancing system is capable of maintaining a low level of voltage imbalance on the LV feeder by rapidly compensating for the voltage rises and sags caused by single-phase load variations. This voltage balancing method is a potential solution for the network utilities to accommodate the significant penetration of low carbon technologies without breaching the network voltage limits. The impact of EVs and HPs on the LV network voltages is investigated based on a Monte Carlo (MC) simulation platform, which comprises a statistical model of EV charging demand, profiles generators of residential and HP electrical demand, and a distribution network model. The MC simulation indicates the impact of EVs and HPs is related to their distribution; when more than 21EVs and 13HPs are non-evenly distributed on a 96-customer LV feeder, the voltage limits are likely to be violated. Moreover, the effectiveness of the ST based voltage balancing method and the demand response based TOU tariff, implemented either alone or together, in mitigating the impact of EVs and HPs is investigated based on the established MC simulation platform. The results indicate the ST based balancing method alone is able to completely mitigate the voltage limit violations regardless of the penetration levels of EVs and HPs. Moreover, using both of the two investigated methods further enhances the balancing effectiveness of the ST based voltage balancing method.

Made available in DSpace on 2016-08-17T14:52:58Z (GMT). No. of bitstreams: 1 Raimundo Nonato Rosa Filho.pdf: 1125835 bytes, checksum: 91689e7b58443f6d0eb73d752860ce37 (MD5) Previous issue date: 2005-03-31 / In this work a methodology for reduction of maintenance cost in the on-load tap changers (OLTC) of extra high voltage is proposed. The methodology is based on the use of Artificial Neural Networks (ANN) for the intelligent processing of input signals of the commutator. The neural nets adequately trained allow to create an information system and dedicated diagnosis of the OLTC. This system can interpret and diagnosis the components through the real time input signals in order to delay the power transformer maintenance intervals, foreseeing when the OLTC is going to maintenance have intervention based on its condition. It has been adopted a multiperceptron ANN architecture in which the input vector has 22 components and the output considers only one component with the status of the OLTC condition in function of its operation time. This output information is used to determine the periods of maintenance of the commutators. It is reported an application of the proposed system considering the on load tap changer of an autotransformer bank of 500/230/13.8 kV, 600MVA of Centrais Elétricas do Norte do Brasil S/A (ELETRONORTE). The results indicate the advantages of the maintenance based on the condition using ANN. / Neste trabalho é proposta uma metodologia para redução de custo de manutenção nos comutadores de tap sob carga (OLTC) dos transformadores de potência de extra alta tensão. A metodologia está baseada na utilização de redes neurais artificiais (RNA) para o processamento inteligente dos sinais de entrada dos comutadores. As redes neurais adequadamente treinadas permitem criar um sistema de informação e diagnóstico dedicado a OLTC que podem interpretar e diagnosticar os componentes através das entradas em tempo real de forma a, postergar os intervalos de manutenção, prevendo quando o OLTC deverá sofrer intervenção de manutenção baseada na condição do OLTC. Foi adotada uma arquitetura de RNA de multiperceptron na qual a entrada considera um vetor com 22 entrada e apenas uma saída com o status da condição do OLTC em função do tempo de operação. Essa informação de saída é utilizada para determinar os períodos de manutenção dos comutadores de tap. É realizada uma aplicação do sistema proposto considerando o comutador de tap sob carga de um banco de autotransformador de 500/230/13.8kV, 600MVA da Centrais Elétricas do Norte do Brasil S/A( ELETRONORTE) e os resultados indicam as vantagens da manutenção baseada na condição usando RNA.

Der Ausbau dezentraler Energieanlagen wie fotovoltaischen Anlagen beeinflusst die Netzzustände signifikant. Dabei ist unsicher, wo und in welchem Maße deren Ausbau zukünftig erfolgt. Es ist nun an den Netzbetreibern gleichzeitig die aktuellen Herausforderungen zu meistern und die Netzplanung und -regelung für die Zukunft zu aktualisieren. Eine statistische Methode wird entwickelt, die Verteilnetzplanung unter Einsatz von quasi-stationär modellierten ”Smart Grid”-Lösungen wie Blindleistungsreglern und regelbaren Ortsnetztransformatoren ermöglicht. Durch Stichprobenverfahren werden Unsicherheiten wie Ort, Größe und Leistungsprofile der Energieanlagen in das Netzmodell eingebunden. Diese als probabilistischer Lastfluss bekannte Methode wird durch Gütemaße im Bereich geringer Kombination evaluiert. Beispiele probabilistischer Netzplanung werden an Netztopologien präsentiert.:Abbildungsverzeichnis iv Tabellenverzeichnis viii Abkürzungsverzeichnis viii Formelzeichen x 1. Einleitung 1 1.1. Definition der Herausforderung 1 1.2. Netzplanung 2 1.3. Ziel der Arbeit3 1.4. Struktur der Arbeit 5 2. Normen und technische Rahmenbedingungen 6 2.1. DIN EN 50160 6 2.2. VDE-AR-N 41057 2.3. Technische Anschlussbedingungen 9 2.4. Erneuerbare-Energien-Gesetz 11 2.5. Zusammenfassung 12 3. Gliederung probabilistischer Lastflussverfahren 13 3.1. Punktschätzende und iterative Verfahren 14 3.2. Gliederung nach Stichprobenverfahren 15 3.3. Reduzierung des Grundraumes 16 3.3.1. Cluster-Analyse17 3.3.2. Ausreißerbehandlung 21 3.3.3. Wahrscheinlichkeits- und Verteilungsfunktion 21 3.4. Methode der Stichprobenziehung 22 3.4.1. Einfache Zufallsstichprobe 23 3.4.2. Systematische Stichprobe24 3.4.3. Geschichtete Zufallsstichprobe 25 3.5. Reduzierung des Stichprobenraumes 26 3.6. Invertierung von Stichproben 26 3.7. Zusammenfassung 27 4. Vergleich probabilistischer Verfahren 28 4.1. Nicht-Gaußsche Eingangsdaten 28 4.2. Bestimmung notwendiger Clusterzentren 29 4.3. Erstellung des Stichprobenraumes pro Kombination 31 4.4. Gütemaße und Effizienz von Stichprobenverfahren 33 4.4.1. Median 34 4.4.2. Median der absoluten Abweichung vom Median 37 4.4.3. Maximale normierte Perzentilsdifferenz 40 4.4.4. Zusammenfassung 43 4.5. Streuung der Stichprobenverfahren bei wiederholter Ausführung 44 4.5.1. Median 44 4.5.2. Median der absoluten Abweichung vom Median 45 4.5.3. Maximale normierte Perzentilsdifferenz 47 4.5.4. Zusammenfassung 49 4.6. Sensitivität bei unterschiedlicher Anzahl statistischer Netzknoten 52 4.6.1. Median 52 4.6.2. Median der absoluten Abweichung vom Median 54 4.6.3. Maximale normierte Perzentilsdifferenz 56 4.6.4. Zusammenfassung58 4.7. Notwendige Kombinationen für Ziel-Gütemaße 59 5. Software-basierte probabilistische Verteilnetzplanung 61 5.1. Struktur der entwickeltenSoftware 61 5.2. Last- und Erzeugungsprofile 63 5.2.1. Synthetische Haushaltslast 63 5.2.2. Elektrofahrzeug 64 5.2.3. Wärmepumpe 65 5.2.4. Photovoltaische Anlagen 66 5.2.5. Windenergieanlagen 66 5.3. Optimale Auswahl nach Regeleffizienz 67 5.4. DezentraleWirkleistungsregler 68 5.4.1. P(U)-Regler für Schnellladeinfrastruktur 68 5.4.2. P(U)-Regelung von Wärmepumpen gemäß thermischer Grenzen 69 5.5. Blindleistungsregler 72 5.5.1. Zentrale Steuerung 73 5.5.2. Dezentrale Regelung 75 5.5.3. Verteilte Regelung 79 5.6. Regelbarer Ortsnetztransformator 83 5.7. Automatisierte Netzausbauplanung 86 5.7.1. Transformatortausch 87 5.7.2. Vergrößerung des Leiterquerschnitts 89 5.7.3. Zusätzliche Stichleitung 89 5.7.4. Kostenberechnung 90 5.8. Zusammenfassung 91 6. Anwendungsfälle probabilistischer Planung 92 6.1. Verwendete Verteilnetzmodelle 94 6.2. Abschätzung der Auswirkung von PV-Anlagenausbau 95 6.2.1. Unterschiede der Planungsverfahren zur Schätzung der PVA-Nennleistung 95 6.2.2. Einfluss der Blindleistungsregelung auf mögliche Anlagenleistung 100 6.3. Abschätzung von Netzauslastungen in Wohngebieten 106 6.3.1. Annahmen und Szenarien 107 6.3.2. Auswertung der Knotenspannungen 110 6.3.3. Auswertung der Betriebsmittelauslastungen 116 6.4. Zusammenfassung 118 7. Zusammenfassung und Ausblick 119 Literaturverzeichnis 121 Anhang 135 A. Statistische Merkmale 135 A.1. Empirische Wahrscheinlichkeitsfunktion 135 A.2. Kumulative empirische Verteilungsfunktion 136 A.3. Quantile 136 A.4. Interquartilsabstand 137 B. PLF-Methoden 138 B.1. Veröffentlichte PLF-Methoden 138 B.2. Test Gaußsche Verteilung 138 C. Definitionen 140 C.1. Symbole für Flussdiagramme 140 C.2. Zählpfeilsystem 140 D. Ergänzende Ergebnisse 142 E. Danksagung 143 / Development of distributed energy units such as photovoltaic systems affects grid states significantly. It is uncertain, where and to what extent the development of these units is carried out in the future. It is now up to the distribution system operator to cope with todays grid challenges and to update grid planning and control for the future. A statistical method is developed, which incorporates quasi-stationary modeled ”smart grid” solutions such as reactive power controllers and on-load tap-changers. Uncertainties such as location, size and power profiles of energy systems are integrated into the grid model by sampling. This method is known as probabilistic load flow and is evaluated by quality measures at low combinations. Examples on probabilistic grid planning of different grid topologies are presented.:Abbildungsverzeichnis iv Tabellenverzeichnis viii Abkürzungsverzeichnis viii Formelzeichen x 1. Einleitung 1 1.1. Definition der Herausforderung 1 1.2. Netzplanung 2 1.3. Ziel der Arbeit3 1.4. Struktur der Arbeit 5 2. Normen und technische Rahmenbedingungen 6 2.1. DIN EN 50160 6 2.2. VDE-AR-N 41057 2.3. Technische Anschlussbedingungen 9 2.4. Erneuerbare-Energien-Gesetz 11 2.5. Zusammenfassung 12 3. Gliederung probabilistischer Lastflussverfahren 13 3.1. Punktschätzende und iterative Verfahren 14 3.2. Gliederung nach Stichprobenverfahren 15 3.3. Reduzierung des Grundraumes 16 3.3.1. Cluster-Analyse17 3.3.2. Ausreißerbehandlung 21 3.3.3. Wahrscheinlichkeits- und Verteilungsfunktion 21 3.4. Methode der Stichprobenziehung 22 3.4.1. Einfache Zufallsstichprobe 23 3.4.2. Systematische Stichprobe24 3.4.3. Geschichtete Zufallsstichprobe 25 3.5. Reduzierung des Stichprobenraumes 26 3.6. Invertierung von Stichproben 26 3.7. Zusammenfassung 27 4. Vergleich probabilistischer Verfahren 28 4.1. Nicht-Gaußsche Eingangsdaten 28 4.2. Bestimmung notwendiger Clusterzentren 29 4.3. Erstellung des Stichprobenraumes pro Kombination 31 4.4. Gütemaße und Effizienz von Stichprobenverfahren 33 4.4.1. Median 34 4.4.2. Median der absoluten Abweichung vom Median 37 4.4.3. Maximale normierte Perzentilsdifferenz 40 4.4.4. Zusammenfassung 43 4.5. Streuung der Stichprobenverfahren bei wiederholter Ausführung 44 4.5.1. Median 44 4.5.2. Median der absoluten Abweichung vom Median 45 4.5.3. Maximale normierte Perzentilsdifferenz 47 4.5.4. Zusammenfassung 49 4.6. Sensitivität bei unterschiedlicher Anzahl statistischer Netzknoten 52 4.6.1. Median 52 4.6.2. Median der absoluten Abweichung vom Median 54 4.6.3. Maximale normierte Perzentilsdifferenz 56 4.6.4. Zusammenfassung58 4.7. Notwendige Kombinationen für Ziel-Gütemaße 59 5. Software-basierte probabilistische Verteilnetzplanung 61 5.1. Struktur der entwickeltenSoftware 61 5.2. Last- und Erzeugungsprofile 63 5.2.1. Synthetische Haushaltslast 63 5.2.2. Elektrofahrzeug 64 5.2.3. Wärmepumpe 65 5.2.4. Photovoltaische Anlagen 66 5.2.5. Windenergieanlagen 66 5.3. Optimale Auswahl nach Regeleffizienz 67 5.4. DezentraleWirkleistungsregler 68 5.4.1. P(U)-Regler für Schnellladeinfrastruktur 68 5.4.2. P(U)-Regelung von Wärmepumpen gemäß thermischer Grenzen 69 5.5. Blindleistungsregler 72 5.5.1. Zentrale Steuerung 73 5.5.2. Dezentrale Regelung 75 5.5.3. Verteilte Regelung 79 5.6. Regelbarer Ortsnetztransformator 83 5.7. Automatisierte Netzausbauplanung 86 5.7.1. Transformatortausch 87 5.7.2. Vergrößerung des Leiterquerschnitts 89 5.7.3. Zusätzliche Stichleitung 89 5.7.4. Kostenberechnung 90 5.8. Zusammenfassung 91 6. Anwendungsfälle probabilistischer Planung 92 6.1. Verwendete Verteilnetzmodelle 94 6.2. Abschätzung der Auswirkung von PV-Anlagenausbau 95 6.2.1. Unterschiede der Planungsverfahren zur Schätzung der PVA-Nennleistung 95 6.2.2. Einfluss der Blindleistungsregelung auf mögliche Anlagenleistung 100 6.3. Abschätzung von Netzauslastungen in Wohngebieten 106 6.3.1. Annahmen und Szenarien 107 6.3.2. Auswertung der Knotenspannungen 110 6.3.3. Auswertung der Betriebsmittelauslastungen 116 6.4. Zusammenfassung 118 7. Zusammenfassung und Ausblick 119 Literaturverzeichnis 121 Anhang 135 A. Statistische Merkmale 135 A.1. Empirische Wahrscheinlichkeitsfunktion 135 A.2. Kumulative empirische Verteilungsfunktion 136 A.3. Quantile 136 A.4. Interquartilsabstand 137 B. PLF-Methoden 138 B.1. Veröffentlichte PLF-Methoden 138 B.2. Test Gaußsche Verteilung 138 C. Definitionen 140 C.1. Symbole für Flussdiagramme 140 C.2. Zählpfeilsystem 140 D. Ergänzende Ergebnisse 142 E. Danksagung 143

This master thesis investigates a redesign for a maintenance tube, used for both sampling and draining transformer oil from a tap changer compartment. With the current design, one can do one or the other of sampling and draining. The effect of this on a transformer site during maintenance means that personnel must bring extra equipment to do the maintenance routine. Along with the extra equipment, it also involves climbing the transformer an extra time to place the equipment for draining. The project aims to address several issues in the context of the product. Redesigning the product to reduce maintenance time, and therefore downtime and electrical outages. Reducing the number of times that the transformer housing needs to be climbed in order to perform maintenance work. This with the purpose of improving working environment for maintenance personnel. With the new design of the maintenance tube, draining and sampling can be done with the same pipe without the need for extra equipment. This is through a mechanism in the tube which allows the personnel to choose whether to drain oil from the bottom of the container or to take oil samples from an area in the tap-changer housing which gives more accurate results. The function of the mechanism can be described in the same way as a pen, where if you push the button, a tube will extract itself and close of the sampling inlets, enabling draining from the bottom. Push the button again and the same tube will retract, allowing you to take samples from the appropriate area again. The new design also adheres to the dimensional requirements needed for the design to fulfil the additional functions the tube has. The project results in a design which would not only fill requirements of functions but also preserves some of the previous parts along with their interfaces. This means that the new design could be installed on current versions of tap-changer models when the next service interval is due.

Vibrations are everywhere around us all the time and we often recognise them as sounds that we can hear and analyse with our brain. In this thesis, data that has been gathered from a diverter switch (DS) in a controlled environment, is analysed. This data consists of vibroacoustic measurements and information to indicate what is happening inside the DS as the vibroacoustic data is gathered. The frequency properties of vibroacoustic data from the DS gathered before this thesis are displayed using a wavelet transformation model. This means the frequency properties of the signal can be approximated for all times in the operation with a certain accuracy. As the DS is built from many different components, the frequency properties of these components are compared to the time-frequency picture of the full DS operation. This sort of comparison ends up not being feasible as the complexity of the DS frequency pattern is much more than that of a sum of its component’s frequency pattern. A second approach of analysing the gathered vibroacoustic data is by using a classification model. The information about what is happening inside of the DS is used to train a logistic regression model on different defined regions of the vibroacoustic data. Before the training is preformed though, the different defined regions are transformed into frequency space with help of the fast Fourier transform. With this, a classification model is produced, where vibroacoustic data of any time region can be fed into the model and the model will classify which defined region this vibroacoustic data belongs to. The results are promising, and the model can be used both for classification of the defined regions and potentially used to determine if the vibroacoustic properties of the DS has changed due to wear of the mechanical components or transformer oil.

This is a bachelor's thesis in Mechanical engineering. The main topic of the thesis is the electrical calculation of the tap changer's shield. Although there are many kinds of tap-changers, this study focuses on VUCL models. The theoretical background of the thesis is that the new shield is suitable and useable in all VUCL models. The primary topic of the thesis is to study that the new shield protects the resistance box in the middle of the tap changers. To do this study, Creo Parametric, Comsol, and SpaceClaim are the programs used. / Detta är en kandidatexamen i maskinteknik. Avhandlingens huvudämne är den elektriska beräkningen av kranbytarens sköld. Även om det finns många olika typer av lindnings fokuserar denna studie på VUCL modeller. Den teoretiska bakgrunden för avhandlingen är att den nya skölden är lämplig och användbar i alla VUCL-modeller. Det primära ämnet för avhandlingen är att studera det nya sköld skyddar motståndet rutan i mitten av lindningskopplare. För att göra denna studie är Creo Parametric, Comsol och SpaceClaim de program som används.

The modern day power system is witnessing a tremendous change. There has been a rapid rise in the distributed generation, along with this the deregulation has resulted in a more complex system. The power demand is on a rise, the generation and trans-mission infrastructure hasn't yet adapted to this growing demand. The economic and operational constraints have forced the system to be operated close to its design limits, making the system vulnerable to disturbances and possible grid failure. This makes the study of voltage stability of the system important more than ever. Generally, voltage stability studies are carried on a single phase equivalent system assuming that the system is perfectly balanced. However, the three phase power system is not always in balanced state. There are a number of untransposed lines, single phase and double phase lines. This thesis deals with three phase voltage stability analysis, in particular the voltage stability index known as L-Index. The equivalent single phase analysis for voltage stability fails to work in case of any unbalance in the system or in presence of asymmetrical contingency. Moreover, as the system operators are giving importance to synchrophasor measurements, PMUs are being installed throughout the system. Hence, the three phase voltages can be obtained, making three phase analysis easier. To study the effect of unbalanced system on voltage stability a three phase L-Index based on traditional L-Index has been proposed. The proposed index takes into consideration the unbalance resulting due to untransposed transmission lines and unbalanced loads in the system. This index can handle any unbalance in the system and is much more realistic. To obtain bus voltages during unbalanced operation of the system a three phase decoupled Newton Raphson load ow was used. Reactive power distribution in a system can be altered using generators voltage set-ting, transformers OLTC settings and SVC settings. All these settings are usually in balanced mode i.e. all the phases have the same setting. Based on this reactive power optimization using LP technique on an equivalent single phase system is proposed. This method takes into account generator voltage settings, OLTC settings of transformers and SVC settings. The optimal settings so obtained are applied to corresponding three phase system. The effectiveness of the optimal settings during unbalanced scenario is studied. This method ensures better voltage pro les and decrease in power loss. Case studies of the proposed methods are carried on 12 bus and 24 bus EHV systems of southern Indian grid and a modified IEEE 30 bus system. Both balanced and unbalanced systems are studied and the results are compared.