Numerical Feasibility Study for Treated Wastewater Recharge as a Tool to Impede Saltwater Intrusion in the Coastal Aquifer of Gaza – Palestine

The ongoing depletion of the coastal aquifer in the Gaza strip due to groundwater overexploitation has led to the process of seawater intrusion, which is continually becoming a serious problem in Gaza, as the seawater has further invaded into many sections along the coastal shoreline. As a first step to get a hold on the problem, the artificial neural network (ANN)-model has been applied as a new approach and an attractive tool to study and predict groundwater levels without applying physically based hydrologic parameters, and also for the purpose to improve the understanding of complex groundwater systems and which is able to show the effects of hydrologic, meteorological and anthropogenic impacts on the groundwater conditions. Prediction of the future behaviour of the seawater intrusion process in the Gaza aquifer is thus of crucial importance to safeguard the already scarce groundwater resources in the region. In this study the coupled three-dimensional groundwater flow and density-dependent solute transport model SEAWAT, as implemented in Visual MODFLOW, is applied to the Gaza coastal aquifer system to simulate the location and the dynamics of the saltwater–freshwater interface in the aquifer in the time period 2000-2010. A very good agreement between simulated and observed TDS salinities with a correlation coefficient of 0.902 and 0.883 for both steady-state and transient calibration is obtained. After successful calibration of the solute transport model, simulation of future management scenarios for the Gaza aquifer have been carried out, in order to get a more comprehensive view of the effects of the artificial recharge planned in the Gaza strip for some time on forestall, or even to remedy, the presently existing adverse aquifer conditions, namely, low groundwater heads and high salinity by the end of the target simulation period, year 2040. To that avail, numerous management scenarios schemes are examined to maintain the ground water system and to control the salinity distributions within the target period 2011-2040. In the first, pessimistic scenario, it is assumed that pumping from the aquifer continues to increase in the near future to meet the rising water demand, and that there is not further recharge to the aquifer than what is provided by natural precipitation. The second, optimistic scenario assumes that treated surficial wastewater can be used as a source of additional artificial recharge to the aquifer which, in principle, should not only lead to an increased sustainable yield of the latter, but could, in the best of all cases, revert even some of the adverse present-day conditions in the aquifer, i.e., seawater intrusion. This scenario has been done with three different cases which differ by the locations and the extensions of the injection-fields for the treated wastewater. The results obtained with the first (do-nothing) scenario indicate that there will be ongoing negative impacts on the aquifer, such as a higher propensity for strong seawater intrusion into the Gaza aquifer. This scenario illustrates that, compared with 2010 situation of the baseline model, at the end of simulation period, year 2040, the amount of saltwater intrusion into the coastal aquifer will be increased by about 35 %, whereas the salinity will be increased by 34 %. In contrast, all three cases of the second (artificial recharge) scenario group can partly revert the present seawater intrusion. From the water budget point of view, compared with the first (do nothing) scenario, for year 2040, the water added to the aquifer by artificial recharge will reduces the amount of water entering the aquifer by seawater intrusion by 81, 77and 72 %, for the three recharge cases, respectively. Meanwhile, the salinity in the Gaza aquifer will be decreased by 15, 32 and 26% for the three cases, respectively.

Designing a Robust Pitch Angle Controller for a 2‐Motor‐Pitch‐System in a Large Wind Turbine

Für große Windenergieanlagen werden neue Pitchregler wie Einzelblattregler oder Turmdämpfungsregler entwickelt. Während diese neuen Pitchregler die Elemente der Windenergieanlagen entlasten, wird das Pitchantriebssystem stärker belastet. Die Pitchantriebe müssen weitaus häufiger bei höherer Amplitude arbeiten. Um die neuen Pitchregler nutzen zu können, muss zunächst das Problem der Materialermüdung der Pitchantriebssysteme gelöst werden. Das Getriebespiel in Getrieben und zwischen Ritzeln und dem Zahnkranz erhöht die Materialermüdung in den Pitchantriebssystemen. In dieser Studie werden als Lösung zwei Pitchantriebe pro Blatt vorgeschlagen. Die beiden Pitchantriebe erzeugen eine Spannung auf dem Pitchantriebssystem und kompensieren das Getriebespiel. Drehmomentspitzen, die eine Materialermüdung verursachen, treten bei diesem System mit zwei Pitchmotoren nicht mehr auf. Ein Reglerausgang wird via Drehmomentverteiler auf die beiden Pitchantriebe übertragen. Es werden mehrere Methoden verglichen und der leistungsfähigste Drehmomentverteiler ausgewählt. Während die Pitchantriebe in Bewegung sind, ändert sich die Spannung auf den Getrieben. Die neuen Pitchregler verstellen den Pitchwinkel in einer sinusförmigen Welle. Der Profilgenerator, der derzeit als Pitchwinkelregler verwendet wird, kann eine Phasenverzögerung im sinusförmigen Pitchwinkel verursachen. Zusätzlich erzeugen große Windenergieanlagen eine hohe Last, die sich störend auf die Pitchbewegung auswirkt. Änderungen der viskosen Reibung und Nichtlinearität der Gleitreibung bzw. Coulombsche Reibung des Pitchregelsystems erschweren zudem die Entwicklung eines Pitchwinkelreglers. Es werden zwei robuste Regler (H∞ und μ–synthesis ) vorgestellt und mit zwei herkömmlichen Reglern (PD und Kaskadenregler) verglichen. Zur Erprobung des Pitchantriebssystems und des Pitchwinkelreglers wird eine Prüfanordnung verwendet. Da der Kranz nicht mit einem Positionssensor ausgestattet ist, wird ein Überwachungselement entwickelt, das die Kranzposition meldet. Neben den beiden Pitchantrieben sind zwei Lastmotoren mit dem Kranz verbunden. Über die beiden Lastmotoren wird das Drehmoment um die Pitchachse einer Windenergieanlage simuliert. Das Drehmoment um die Pitchachse setzt sich zusammen aus Schwerkraft, aerodynamischer Kraft, zentrifugaler Belastung, Reibung aufgrund des Kippmoments und der Beschleunigung bzw. Verzögerung des Rotorblatts. Das Blatt wird als Zweimassenschwinger modelliert. Große Windenergieanlagen und neue Pitchregler für die Anlagen erfordern ein neues Pitchantriebssystem. Als Hardware-Lösung bieten sich zwei Pitchantriebe an mit einem robusten Regler als Software.

Optimizing Robust Quantum Gates in Open Quantum Systems

We are currently at the cusp of a revolution in quantum technology that relies not just on the passive use of quantum effects, but on their active control. At the forefront of this revolution is the implementation of a quantum computer. Encoding information in quantum states as “qubits” allows to use entanglement and quantum superposition to perform calculations that are infeasible on classical computers. The fundamental challenge in the realization of quantum computers is to avoid decoherence – the loss of quantum properties – due to unwanted interaction with the environment. This thesis addresses the problem of implementing entangling two-qubit quantum gates that are robust with respect to both decoherence and classical noise. It covers three aspects: the use of efficient numerical tools for the simulation and optimal control of open and closed quantum systems, the role of advanced optimization functionals in facilitating robustness, and the application of these techniques to two of the leading implementations of quantum computation, trapped atoms and superconducting circuits. After a review of the theoretical and numerical foundations, the central part of the thesis starts with the idea of using ensemble optimization to achieve robustness with respect to both classical fluctuations in the system parameters, and decoherence. For the example of a controlled phasegate implemented with trapped Rydberg atoms, this approach is demonstrated to yield a gate that is at least one order of magnitude more robust than the best known analytic scheme. Moreover this robustness is maintained even for gate durations significantly shorter than those obtained in the analytic scheme. Superconducting circuits are a particularly promising architecture for the implementation of a quantum computer. Their flexibility is demonstrated by performing optimizations for both diagonal and non-diagonal quantum gates. In order to achieve robustness with respect to decoherence, it is essential to implement quantum gates in the shortest possible amount of time. This may be facilitated by using an optimization functional that targets an arbitrary perfect entangler, based on a geometric theory of two-qubit gates. For the example of superconducting qubits, it is shown that this approach leads to significantly shorter gate durations, higher fidelities, and faster convergence than the optimization towards specific two-qubit gates. Performing optimization in Liouville space in order to properly take into account decoherence poses significant numerical challenges, as the dimension scales quadratically compared to Hilbert space. However, it can be shown that for a unitary target, the optimization only requires propagation of at most three states, instead of a full basis of Liouville space. Both for the example of trapped Rydberg atoms, and for superconducting qubits, the successful optimization of quantum gates is demonstrated, at a significantly reduced numerical cost than was previously thought possible. Together, the results of this thesis point towards a comprehensive framework for the optimization of robust quantum gates, paving the way for the future realization of quantum computers.