230 research outputs found

    Compensator Design: Extending Van der Woude-Jeltsema's orthogonal projection approach

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    The aim of this Bachelor Thesis is to extend the orthogonal projection method described in 'An Orthogonal Projection Method for Computing Active, Reactive and Scattered Power and its Application to Compensator Design' by Jacob van der Woude and Dimitri Jeltsema. In the aforementioned article, a method is described to calculate the active, reactive and scattered power of a RLC network. It uses an orthogonal projection of the current on the space of (anti)derivatives of the voltage. This method can be used to improve the power factor of the network, as it also shows how to design a compensator for the reactive power. The compensator consists of a parallel connection of an electromagnetic coil and a capacitor. Two working examples are given. This research shows that Van der Woude and Jeltsema's method is not always applicable. It often results in negative values for the coil and the capacitor, although this has no physical meaning. When the given voltage consists of more than two frequencies, the method is also inapplicable. This research gives a condition that ensures an applicable execution of this method. It also shows when these conditions are met. We show how the method can be extended to a working method for any RLC network, provided the voltage consists of two frequencies. It uses a second Foster canonical form to expand the initially proposed compensator. Depending on the coefficients given by the orthogonal projection, a different type of compensator is needed. It is also described how a fitting compensator can be chosen, and how the coefficients for the coils and capacitors can be determined.Electrical Engineerin

    A. S. van der Woude, Die messianischen Vorstellungen der Gemeinde von Qumran, Studia Semitica Neerlandica, 1957

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    Jacob Edmond. A. S. van der Woude, Die messianischen Vorstellungen der Gemeinde von Qumran, Studia Semitica Neerlandica, 1957. In: Revue d'histoire et de philosophie religieuses, 39e année n°3,1959. pp. 300-301

    Almost Noninteracting Control for Linear Systems With Exogenous Inputs and Outputs

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    In this paper we consider a linear system that in addition to a control input and a measurement output has k exogenous inputs and k exogenous outputs. We assume that the system is controlled by means of a linear measurement feedback compensator. The resulting closed loop system has k exogenous input and k exogenous outputs and we assume that its transfer matrix is partitioned accordingly as a k x k block matrix. If through the application of a suitable compensator the H1 -norm of the off-diagonal blocks of the closed loop system transfer matrix all can be made arbitrarily small, we say that the almost noninteracting control problem is solvable. In this paper we present verifiable necessary and sufficient conditions for the solvability of the almost noninteracting control problem. Keywords & Phrases Almost noninteracting control, linear matrix equations, common solution. 1980 Mathematics Subject Classification 93B50, 93C05, 93C35, 93C60. 1. Introduction In Van der Woude [10] we ..

    On the positive stabilizability and contollability of linear discrete-time systems

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    This paper is a research in positive controllability and stabilizability for discrete-time linear systems. Several conditions are given and explained for both single input as multiple input systems. Also the connection between controllability and reachability will be mentioned. Furthermore, a method for multiple input positive controllability is analysed.Applied Mathematic

    Analysis Of Gas Transport Networks: Strategies For Simplifying And Solving Problems Related To Gas Transport Networks

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    In this research, known theory and methods for electric networks are translated and applied to gas transport networks.The networks are represented by directed graphs with their corresponding incidence matrices. The theory about these is extensively discussed in addition to their relevance to Kirchoff's Circuit Laws.Several components in a gas transport network have their behaviour compared to their counterparts in electric networks. These are the pipe segments, valves and compressors. More importantly, their corresponding equations for the relation between pressure loss and volumetric flow are given.The known methods for reducing series and parallel connections in electric networks are translated to the case of a gas pipe network. This can be used to reduce complicated networks containing pipe segments in a series or parallel connections to more manageable networks.Additionally, the Δ/Y transforms are briefly discussed.Lastly, a theorem guaranteeing the uniqueness of network variables is discussed. This is applied by using numerical methods, in particular the multivariate Newton-Raphson method. An algorithm is created that returns all unknown network variables after being given a specific set of known variables.It is first constructed to work only for graphs in which each arc represents a pipe segment. Afterwards, the algorithm will be expanded to also allow check valves and compressors and it is explained how further component types can be added.The algorithm is eventually applied to an example of a large network based on a schematic approximation of the Dutch gas transport network.Applied Mathematic

    Powerfactorverbetering in elektrische netwerken: pf - verbetering onder niet sinus-vormige omstandigheden

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    Een BacheloreindProject over het verbeteren van de powerfactor in elektrische netwerken. Door een groter aantal frequenties in de spanning óf door bepaalde componenten in de belasting is er een compenserend gedeelte in het netwerk nodig en / of mogelijk. Met welke schakelingen, componenten en karakteristieke waarden dit gedaan kan worden, zal per situatie verschillen

    The Theorem of Reicht and Network Matrices

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    In 1969, the theorem of Reichert was formulated. Since then, two proofs have been found, both by Z. Jiang and Malcolm C. Smith, one of which in collaboration with Sara Y. Zhang. These proofs are based on the transfer functions of the electrical networks. The aim of this paper is to work toward a proof based on graph theory, linear algebra and differential equations. Whereas a proof has not been found, this paper provides insight on what the theorem of Reichert means, on ways to describe graphs and electrical networks with matrices and on the connection between those matrices. Lastly, we will take a look at Kron reduction: a way to remove resistors from resistive networks by manipulating their descriptive matrices

    Missense mutations that cause Van der Woude syndrome and popliteal pterygium syndrome affect the DNA-binding and transcriptional activation functions of IRF6

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    Cleft lip and cleft palate (CLP) are common disorders that occur either as part of a syndrome, where structures other than the lip and palate are affected, or in the absence of other anomalies. Van der Woude syndrome (VWS) and popliteal pterygium syndrome (PPS) are autosomal dominant disorders characterized by combinations of cleft lip, CLP, lip pits, skin-folds, syndactyly and oral adhesions which arise as the result of mutations in interferon regulatory factor 6 (IRF6). IRF6 belongs to a family of transcription factors that share a highly conserved N-terminal, DNA-binding domain and a less well-conserved protein-binding domain. To date, mutation analyses have suggested a broad genotype-phenotype correlation in which missense and nonsense mutations occurring throughout IRF6 may cause VWS; in contrast, PPS-causing mutations are highly associated with the DNA-binding domain, and appear to preferentially affect residues that are predicted to interact directly with the DNA. Nevertheless, this genotype-phenotype correlation is based on the analysis of structural models rather than on the investigation of the DNA-binding properties of IRF6. Moreover, the effects of mutations in the protein interaction domain have not been analysed. In the current investigation, we have determined the sequence to which IRF6 binds and used this sequence to analyse the effect of VWS- and PPS-associated mutations in the DNA-binding domain of IRF6. In addition, we have demonstrated that IRF6 functions as a co-operative transcriptional activator and that mutations in the protein interaction domain of IRF6 disrupt this activity. © The Author 2008. Published by Oxford University Press. All rights reserved

    Routh's stabiliteitscriterium voor convexe stabiliteitsgebieden

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    In dit project is onderzocht hoe stabiliteitscriteria afgeleid kunnen worden voor convexe gebieden in het complexe vlak.MathematicsElectrical Engineering, Mathematics and Computer Scienc

    Max-Plus Algebra applied to Supply Chain Scheduling

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    : In this thesis Max-Plus Algebra is discussed. This is an algebraic structure which is useful for modelling scheduling problems. Instead of normal addition and multiplication respectively the operations maximum and addition are used. Together with max-plus algebra another modelling method is described: Heaps of Pieces. This looks like Tetris and is used for the same purpose. Knowing about these methods the main example is introduced: supply chain scheduling for oiltankers. The two methods described earlier are used to find a solution for this problem. Lastly, using simulated data results are produced and explained.Electrical Engineering, Mathematics and Computer ScienceApplied Mathematic
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