<p>I denne rapporten er synkrongeneratorens dynamiske oppførsel studert ved direkte faseavbrudd på tre-fase overføringslinjer i regionalnettet, via datamaskinbasert modellering og simulering. Ved feil studeres virkningen av spenningsregulator basert på statisk magnetisering, ulike typer turbinregulatorer, forskjellige koplingsgrupper for transformatorer og tiltak som dempetilsats (PSS). Bakgrunnen for denne oppgaven baserer seg på et reelt tilfelle med faseavbrudd som oppstod i regionalnettet til NTE den 7. mars 2008. Dette førte til at synkrongeneratorene tilknyttet 66 kV nettet fikk ukontrollerte effektpendlinger. Utfordringer ved faseavbrudd i kraftsystemer, uavhengig av om det er på overføringslinjene eller i elektriske komponenter, er kjent innenfor drift av kraftsystemet. Statistikk fra *FASIT for hele Norge i perioden 2001-2004 viser at av 37163 driftsforstyrrelser var 2073 faseavbrudd. Til tross for dette har det ikke vært mulig å finne relevant litteratur som detaljert beskriver den elektromekaniske oppførselen til synkrongenerator ved direkte faseavbrudd på en av fasene ved tre-fase kraftoverføring. Som en del av arbeidet er det etablert en simuleringsmodell av R-nettet til NTE i tillegg til et antall forenklete modeller. Det er foretatt simuleringer som viser endringene som funksjon av tiden i aktiv effekt, polhjulsvinkel, spenning og strøm på synkrongeneratorer ved faseavbrudd. Resultater fra simuleringene i de forenklete modellene viser at et faseavbrudd ikke nødvendigvis medfører ukontrollerte effektpendlinger. Det viser seg at synkrongeneratoren kan svinge seg inn mot et nytt arbeidspunkt i en driftssituasjon med varig faseavbrudd. Ulike regulatorer sammen med total systemimpedans, koplingsgruppe for transformatorer og lastforbruk avgjør hvor stabilt systemet blir. Resultater for simuleringene av R-nettet viser at faseavbrudd, tilsvarende det som oppstod i 2008, gir ukontrollerte effektpendlinger. Dempetilsats (PSS) er innført som tiltak, og det er vist at denne kan være i stand til å dempe pendlingene i startfasen slik at de ikke utarter seg til udempete svingninger. *FASIT – Feil og AvbruddsStatistikk I Totalnettet – Referansegruppe for feil og avbrudd ble opprettet 13.03.1996 og består av representanter fra NVE, Statnett og EnergiAkademiet (EBL). I tillegg er Lier Everk, Troms Kraft Nett AS, Istad Nett AS og Sintef Energiforskning for tiden representert. www.fasit.no</p>

<p>The increased demand of offshore power conversion systems is driven by newly initiated offshore projects for wind farms and oil production. Because of long distances to shore and inaccessibility of the equipment long repair times must be expected. At the same time the offshore environment is extremely harsh. Thus, high reliability is required for the converters and it is important to have good knowledge of the switching devices. This thesis investigates switching characteristics and losses of commercially available IGBT modules to be used for this application. It focuses on switching time and switching energy losses depending on gate resistance, current and voltage levels, operation temperatures, and show differences between several devices of the same type. Some test show how device characteristics and losses when the device has been exposed to stress over a certain period.</p>

Central Norway has had a significant growth in power consumption over the last few years, and demand is expected to rise. Due to lack of investment in sufficient generation and transmission capacity, Central Norway is expected to have a significant power deficit in an average year and severe deficits in dry years. This thesis investigates the power situation in Central Norway by using the EMPS model developed at SINTEF Energy Research combined with newly developed investment functionality. The thesis has studied the EMPS model and developed new functionality for the investment model in order to do more precise investment analyses. Simulations on optimal investments in different cases concerning increased load and subsidies on wind power investments have been done as well. The simulations show that the power situation Central Norway is close to critical and that investments must be executed to avoid high risk of rationing in a future situation with higher demand. The investment analysis based on the present state show that the proposed transmission investments on Nea--Järpströmmen and Ørskog--Fardal are sensible and very useful for the power situation in Central Norway. Simulations show that subsidies to encourage wind power development might cause more uncertain and variable prices due to lower price incentives to build new transmission capacity. Simulations also show that large wind power investments will have a substantial impact on how hydro power is utilized in Norway. The investment functionality has shown a good capability to obtain sensible solutions that give less price variation throughout the system and reasonable price distributions as long as the investments are small enough to not have substantial impact on hydro power utilization.

The EMPS model is a fundatmental model for optimizing and simulation of power systems with substantial amounts of hydro power, developed by SINTEF Energy Research. Recently SINTEF Energy Research developed investment functionality making it possible to run optimal investment analysis of thermal power, wind power and transmission capacities.The purpose of this thesis is to study and learn how to use both the EMPS and the newly developed investment model. The investment model is to be improved to use price segments instead of weekly average prices when calculating the profits and to implement the option to set a maximum capacity. Furthermore simplistic models of Germany and the Netherlands are to be constructed to be able to use the investment model to find the optimal transmission capacity between Norway and the Netherlands.The investment analysis resulted in an investment of 6000 MW in transmission capacity between Norway and the Netherlands. 6000 MW was the limit due to limitations in the grid from "Sørlandet" to the other parts of Norway. However the way the Netherlands are modelled do not take into account that the prices in the Netherlands also would change as a function of this capacity increase so it is fair to say that the invested capacity is too large. The investment analysis does show that an investment should be made as it is very profitable. For instance would an investment in the region of 1200 MW result in the full investment costs beeing payed back within 3 years of installation according to the investment analysis. The investment functionality is a program that is quick and easy to use. It provides the user a way to specify a lot of different investment alternatives. The program can be used to see the optimal investment in one or more investment alternatives and it also shows the impact they possibly have on each other. The program saves the user a lot of time as the user no longer has to manually add the investments into the EMPS model. There are however still a few errors that have to be fixed in the program and new features that could be added to improve the results, such as non-linear investment costs.

<p>In this master thesis the theory and practical use of modal analysis is explained, giving an introduction to the possibilities of modal analysis. The master thesis starts with a look at wind power and the design of a modern wind turbine. Two models, one for constant wind speed wind turbines and one for variable speed wind turbines, are presented. An example shows how modal analysis can be utilized to evaluate a network's dynamic stability. Simulations are performed on a two-area network where different wind power models are tested and compared. A two-mass model is used to model a constant wind turbine. The model consists of an asynchronous generator, a turbine, and a low speed shaft with a tensional stiffness. The model representing the variable speed wind turbine is based on a DFIG model included in the simulation software. The two-area network consists of two areas connected together through a long line between Bus 5 and Bus 6. Area 1 has two production sources, one placed in Bus 1 and one placed in Bus 2. The second area represents a large network modelled as a very large synchronous generator with a high inertia. The calculations have showed how modal analysis can be used to evaluate a system by using linearized differential equations and how the systems robustness against small disturbances can be altered by changing the systems parameters. Simulations have verified that a two-mass model must be used when modelling a constant speed wind turbine. The inertia of the turbine will greatly influence the model's behaviour and must therefore be included in the model. Eigenvalues analysis performed during different wind speeds have documented that wind power will not become less stable towards small disturbances when operated at low wind speed conditions.</p>

<p>With the recent developments in semiconductors and control equipment, Voltage Source Converter based High Voltage Direct Current (VSC-HVDC) has attracted the growing interest of researchers. The use of VSC technology and Pulse Width Modulation (PWM) has a number of potential advantages: short circuit current reduction; rapid and independent control of the active and reactive power, etc. With such highly favourable advantages, VSC-HVDC is definitely going to be a large part of future transmission and distribution systems. HVDC technology based on VSC technology has been an area of growing interest recently because of its suitability in forming a transmission link for transmitting bulk amount of wind power. This thesis deals with the control of VSC-HVDC. The objective of the work is to understand the control structure of the VSC-HVDC system, and establish the tuning criteria for the PI controllers of the converter controllers. A model of a VSC based dc link using PWM Technology is developed. A mathematical model of the control system based on the relationships between voltage and current is described for the VSC. A control system is developed combining an inner current loop controller and outer dc voltage controller. The vector control strategy is studied and corresponding dynamic performance under step changes and system fault is investigated in PSCAD/EMTDC simulation package. The simulation results verify that the model can fulfill bi-directional power transfers, fast response control and that the system has good steady state performance. The controller parameters tuned according to the developed tuning criteria is found to provide acceptable system performances.</p>

<p>The North Sea has a vast amount of wind energy with largest energy per area densities located about 100-300Km of distance from shore. Should this energy be tapped by offshore wind farms, HVDC transmission would be the more feasible solution at such long subsea distances. On the other hand Norwegian oil/gas platforms in the North Sea use electricity from gas fired turbines at offshore sites. These gas turbines have much less efficiency than onshore generation of electricity and also release large amounts of green house gases. Therefore supplying the platforms with power from onshore transmitted by HVDC will result in benefits both from economic and environmental protection perspectives. Given these two interests for HVDC in the Norwegian offshore, the use of Multiterminal HVDC (MTDC) is a potential solution for the integration of the wind farms and oil/gas platforms into the onshore grid system. Hence, this thesis focuses on the operation and control of MTDC systems. The MTDC system is desired to be capable of interfacing with all kinds of AC grids namely: stiff, weak and passive grid systems. Compared to the classical thyristor based converter, VSC has several features that make it the most suitable converter for making of MTDC, the most decisive being its ability of bidirectional power transfer for fixed voltage polarity. VSC-HVDC is also suitable for implementing control of active and reactive current in synchronously rotating d-q reference frame which in turn results in decoupled control of active and reactive power. In the first two chapters of the thesis literatures are reviewed to understand operation of VSC and its use in HVDC systems. Afterwards controllers are developed for different AC connections (stiff, weak and passive) and for different DC parameter (power, DC voltage) control modes. DC voltage and active power control are implemented by active current control and AC voltage and reactive power control are achieved by reactive power compensation. Tuning techniques for the PI controllers are discussed and used in the simulation models. Finally control techniques for reliable operation of MTDC are developed. In order to validate theoretical arguments, each of the control schemes was developed and simulated in PSCAD/EMTDC simulation software. Simulation results indicate that satisfactory performance of VSC-HVDC was obtained with the proposed active/reactive power controllers, AC/DC voltage controllers, frequency and DC overvoltage controllers. For coordinated multiterminal operation, voltage margin control method and DC voltage droop characteristic were used. These are control methods based upon realization of desired P-UDC characteristic curves of converter terminals. Four-terminal MTDC system with different AC grid connections was used to study the multiterminal operation. Simulations have shown that voltage margin control method results in reliable operation of MTDC during loss of a terminal connection without the need for communication between terminals. The use of DC voltage droop control along with voltage margin control enabled load sharing among VSC-HVDC terminals in DC voltage control mode according to predetermined participation factor.</p>

<p>Direct electrical heating (DEH) of pipelines is a flow assurance method that has proven to be a good and reliable solution for preventing the formation of hydrates and wax in multiphase flow lines. The technology is installed on several pipelines in the North Sea and has become StatoilHydros preferred method for flow assurance. Tyrihans is the newest installation with 10 MW DEH for a 43 km pipline. However, the pipeline represents a considerable single-phase load which makes the power system dependent on a balancing unit for providing symmetrical conditions. This limits the step out distance and is not suitable for subsea installation. Aker Solutions has proposed several specially connected transformers for subsea power supply of DEH systems, Scott-T being one of them. The Scott-T transformer is a three-to-two-phase transformer which provides balanced electrical power between the two systems when the two secondary one-phase loads are equal. By implementing this transformer, it can be possible to install the power supply subsea as there is no need for a balancing unit. In addition, the system may be applicable for long step out distances. This is because the pipeline is inductive and can use the reactive power produced by the long cable which also can increase the critical cable length. There are however some limitations on this system using the Scott-T transformer. There is a large variation in the magnetic permeability between individual joints of the pipeline. This can result in different load impedance of the two pipe sections connected to the Scott-T transformer. The result is unbalance in the power system. The method of symmetrical components is applied to investigate the behavior during unbalanced loading of the Scott-transformer. The relationship between the negative- and the positive sequence component of the current is used to express the degree of unsymmetry. For the simulations in SIMPOW, the Scott-T transformer is modelled by the use of Dynamic Simulation Language. The simulations on the DSL model give correct and reliable results for analysing the the degree of unsymmetry in the Scott-T transformer. When the load impedance of one pipe section is varied, simulation proves that it can change between 0.75 and 1.34 per unit of the other pipe impedance. The Scott-T transformer does still provide electrical power between the two systems which is below the limit for the degree of unsymmetry (15%). Case 1 and Case 2 introduce two possible configurations for a subsea DEH system with the Scott-T transformer implemented. The configurations include an onshore power supply which is connected to a subsea power system for direct electrical heating and a subsea load at the far end of the subsea cable. The pipeline in Case 1 is 100 km long and is divided into two pipe sections of 50 km which are connected to a Scott-T transformer. The pipeline in Case 2 is 200 km long and is divided into four pipe sections of 50 km each. There are two Scott-T transformers in Case 2. For normal operation of the subsea load (50 MW, cosfi=0.9) and heating the pipe content from the ambient sea emperature, the results indicate that tap changers are necessary to keep the Scott-T transformers secondary terminal voltage at 25 kV. This meets the requirement in both cases for heating the pipe content from 4 to 25 degrees celsius within 48 hours after a shutdown of the process. The degree of unsymmetry is zero for both cases when the system is operated as normal. However, all system simulations indicate that reactive power compensation has to be included for Case 1 as well as for Case 2 in order to have a power factor of unity at the onshore grid connection. The fault scenarios indicate that the degree of unsymmetry is dependent on both the type of fault and the power supply in the system. For Case 1, the relationship (I-/I+) is only of 3.3% in the subsea cable when there is a short-circuit at DEHBUS3, but as much as 87% at the grid connection. The degree of unsymmetry in the Scott-T transformer is then 67%. This is far beyond the limit for maximum negative sequence component of 15%. The significant unsymmetry in the line between the grid and BUS1 is most likely due to the large power delivered to the fault. During the fault, the reactive power delivered to the system increases from 10.6 Mvar to 131.9 Mvar after the fault, but the active power increases only from 75.2 MW to 87.1 MW. This means that it is most likely the reactive power that contributes to the consequent unsymmetry and negative sequence component of the current. There are two Scott-T transformers installed in Case 2. If the DEH system is only heating the pipe section closest to shore (at DEHBUS33), simulations show that the three-phase power system becomes unsymmetric which results in different phase currents. The degree of unsymmetry at the grid connection is 32% when only the pipe section at DEHBUS33 is heated. In addition, the unbalance in the three-phase system caused by SCOTT1 involves unbalance in the SCOTT2 transformer as well. The load voltages are not equal in magnitude and dephased of 90 degrees for this mode, but are 32 kV and 35 kV respectively and dephased of 88 degrees. This concludes a very important behavior of the Scott-T transformer. The simulations conclude that the Scott-T transformer provides symmetrical conditions for both configurations when the two load impedances are equal. However, Case 2 shows an important result when installing two Scott-T transformers in the same system. Unbalanced loading of one of the specially connected transformers gives unsymmetrical conditions in the three-phase system which results in unbalanced load voltages for the other Scott-T transformer. The analysis is limited to the configurations given for Case 1 and Case 2, but shows typical results when an alternative transformer connection is implemented in a DEH system.</p>

<p>There is an increasing amount of power processed through power electronics in the areas of generation interface, energy storage and loads. This increment enables possibilities for improved solutions for efficient generation and use of electric power. Traditionally loads in AC distribution systems have been seen as passive and individual elements rather than active components of the system. An AC distribution system with high percentage of power electronic loads can be susceptible for instability under abnormal operation conditions if the converter controls are not designed for such conditions. This thesis introduces a solution of reactive current control for a constant power load (CPL) in an AC distribution system. A CPL is a load that draws a constant amount of active power without regard to any drops in system voltage. The resistance seen from the AC distribution system to the CPL is known as a negative input resistance which is characteristic for this kind of load. A drop in AC system voltage will result in increased current and vice versa. Hence the resulting resistance will be negative. Negative resistance behaviour is not favourable for system stability and the work has focused on a control of the converter that reduces the instability effect of the load. By controlling the reactive current component to inject current for support of the AC distribution system voltage during faults and other interferences, the load becomes an active participant in the AC distribution system. An AC distribution system has been built in PSCAD/EMTDC. An asynchronous generator and a fixed capacitor are used as distributed generation. The CPL consists of an AC/DC converter and a voltage dependent current source in order to keep constant DC power at the load. Focus has been on the converter control implementing a voltage oriented vector control based on a two phase rotational reference frame. Measurements of current and voltage with different voltage drop levels have been done for comparison of a CPL with and without reactive current control. The simulation example has verified the negative resistance phenomenon of the CPL. Results shows that the AC system voltage is less vulnerable in case of faults if the converter control is designed to inject reactive current into the AC distribution system.</p>

<p>Offshore wind power has proven to be a renewable energy source with a high potential, especially in the North Sea, where an important development is going on. The location of the wind farms tends to move far from the coast to benefit stronger and more constant wind. In the same time, the power output of the wind farm is increasing to several hundreds of MW up to 1 GW. In the European liberalized electricity market, the interconnection of the countries become very important to facilitate the cross-border trade of electricity but also to improve the reliability of the grid. Combining this both aspects into one, a big offshore HVDC grid connecting countries and large wind farms spread allover the North Sea is currently being studied and developed. So in addition of the challenge given by a high penetration of the wind power production in the European power production scheme, new challenges are opened especially for the offshore transmission. This master thesis presents the integration to grid of a single 1 GW or a cluster of wind farms connected to an oil rig with different connection scheme based on HVDC transmission using the Voltage Source Converter (VSC) technology. The connection of the offshore wind farms is done either with a single HVDC transmission or two HVDC transmissions connected to the main grid at two different Points of Common Connection situated in the south-west of Norway. The wind farms are not represented in detail but by a single generator. They are equipped for the simulation with Double Fed Induction Generators (DFIG) to be representative of the reality, almost half of the wind turbines are today equipped with DFIG technology. Two disturbances are used to test the electrical stability of the system: a classical 150ms three fault phase in agreement with the grid code requirements on the ride fault through requirements and 100ms fault leading to the tripping of a line. The impact of using different types of generator is also investigated with the simulation of cluster wind farm where a wind farm is equipped with Fixed Speed Generator (FIG). The emphasis is put on the response of the VSC-converter and to a lesser extent on the behaviour of the wind turbine generator. It is demonstrated the capacity of the VSC-converter to stabilize a small grid alone and to “isolate” a disturbance. The voltage and the frequency offshore are practically unaffected by a fault onshore and vice versa. As expected, it is demonstrated that the multiplication of the VSC-HVDC converter in a grid improves the stability of the system. Finally, it has been noticed that there maybe some interactions if several different types of generators are used. The replacement of a generator by another type inside the wind farm cluster may change completely the dynamic behaviour after a disturbance. Simulations are performed with PSS/E.</p>