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Nachweise für die Stabilität von Regelkreisen, deren Stellgrößen an ihre Begrenzungen gelangen können und bei denen die Regler Integratoren oder andere dynamische Glieder sowie Anti-Windup-Maßnahmen enthalten, sind gewöhnlich sehr aufwändig zu führen. Bei PI-Zustandsreglern, die mittels der in [1] vorgestellten Methode in einem mehrstufigen Verfahren für Regelstrecken entworfen wurden, die bis auf die Stellgrößenbegrenzungen linear sind, lassen sich jedoch äußerst hilfreiche allgemeine Stabilitätsaussagen treffen, die den konkreten Stabilitätsnachweis für das Gesamtsystem– selbst unter Einbeziehung von Beobachtern – erheblich vereinfachen. Im vorliegenden Beitrag werden die diesbezüglichen, auf Steuerbarkeitsbetrachtungen beruhenden, Zusammenhänge für zeitdiskrete Regelkreise aufgezeigt sowie daraus exemplarisch mittels Ljapunow-Funktionen eine einfache Reglerformel für Zustandsregler abgeleitet, die auch im Begrenzungsfall stabil arbeiten. Ein Beispielaus der elektrischen Antriebstechnik illustriert die Anwendbarkeit der vorgestellten Methode.
Electric arc furnaces (EAF) are complex industrial plants whose actual behavior depends upon numerous factors. Due to its energy intensive operation, the EAF process has always been subject to optimization efforts. For these reasons, several models have been proposed in literature to analyze and predict different modes of operation. Most of these models focused on the processes inside the vessel itself. The present paper introduces a dynamic, physics-based model of a complete EAF plant which consists of the four subsystems vessel, electric system, electrode regulation, and off-gas system. Furthermore the solid phase is not treated to be homogenous but a simple spatial discretization is employed. Hence it is possible to simulate the energy input by electric arcs and fossil fuel burners depending on the state of the melting progress. The model is implemented in object-oriented, equation-based language Modelica. The simulation results are compared to literature data.
Battery degradation is a complex physicochemical process that strongly depends on operating conditions. We present a model-based analysis of lithium-ion battery degradation in a stationary photovoltaic battery system. We use a multi-scale multi-physics model of a graphite/lithium iron phosphate (LiFePO4, LFP) cell including solid electrolyte interphase (SEI) formation. The cell-level model is dynamically coupled to a system-level model consisting of photovoltaics (PV), inverter, load, grid interaction, and energy management system, fed with historic weather data. Simulations are carried out for two load scenarios, a single-family house and an office tract, over annual operation cycles with one-minute time resolution. As key result, we show that the charging process causes a peak in degradation rate due to electrochemical charge overpotentials. The main drivers for cell ageing are therefore not only a high state of charge (SOC), but the charging process leading towards high SOC. We also show that the load situation not only influences system parameters like self-sufficiency and self-consumption, but also has a significant impact on battery ageing. We assess reduced charge cut-off voltage as ageing mitigation strategy.
The DMFC is a promising option for backup power systems and for the power supply of portable devices. However, from the modeling point of view liquid-feed DMFC are challenging systems due to the complex electrochemistry, the inherent two-phase transport and the effect of methanol crossover. In this paper we present a physical 1D cell model to describe the relevant processes for DMFC performance ranging from electrochemistry on the surface of the catalyst up to transport on the cell level. A two-phase flow model is implemented describing the transport in gas diffusion layer and catalyst layer at the anode side. Electrochemistry is described by elementary steps for the reactions occurring at anode and cathode, including adsorbed intermediate species on the platinum and ruthenium surfaces. Furthermore, a detailed membrane model including methanol crossover is employed. The model is validated using polarization curves, methanol crossover measurements and impedance spectra. It permits to analyze both steady-state and transient behavior with a high level of predictive capabilities. Steady-state simulations are used to investigate the open circuit voltage as well as the overpotentials of anode, cathode and electrolyte. Finally, the transient behavior after current interruption is studied in detail.
This work demonstrates the potentials of procedural content generation (PCG) for games, focusing on the generation of specific graphic props (reefs) in an explorer game. We briefly portray the state-of-the-art of PCG and compare various methods to create random patterns at runtime. Taking a step towards the game industry, we describe an actual game production and provide a detailed pseudocode implementation showing how Perlin or Simplex noise can be used efficiently. In a comparative study, we investigate two alternative implementations of a decisive game prop: once created traditionally by artists and once generated by procedural algorithms. 41 test subjects played both implementations. The analysis shows that PCG can create a user experience that is significantly more realistic and at the same time perceived as more aesthetically pleasing. In addition, the ever-changing nature of the procedurally generated environments is preferred with high significance, especially by players aged 45 and above.
There is a growing trend for the use of thermo-active building systems (TABS) for the heating and cooling of buildings, because these systems are known to be very economical and efficient. However, their control is complicated due to the large thermal inertia, and their parameterization is time-consuming. With conventional TABS-control strategies, the required thermal comfort in buildings can often not be maintained, particularly if the internal heat sources are suddenly changed. This paper shows measurement results and evaluations of the operation of a novel adaptive and predictive calculation method, based on a multiple linear regression (AMLR) for the control of TABS. The measurement results are compared with the standard TABS strategy. The results show that the electrical pump energy could be reduced by more than 86%. Including the weather adjustment, it could be demonstrated that thermal energy savings of over 41% could be reached. In addition, the thermal comfort could be improved due to the possibility to specify mean room set-point temperatures. With the AMLR, comfort category I of the comfort norms ISO 7730 and DIN EN 15251 are observed in about 95% of occasions. With the standard TABS strategy, only about 24% are within category I.
Adaptive predictive control of thermo-active building systems (TABS) based on a multiple regression algorithm: First practical test. Available from: https://www.researchgate.net/publication/305903009_Adaptive_predictive_control_of_thermo-active_building_systems_TABS_based_on_a_multiple_regression_algorithm_First_practical_test [accessed Jul 7, 2017].
The famous violin virtuoso Nicolò Paganini (born on 27 October 1782 in Genoa, died on 27 May 1840 in Nice) left us with many puzzles. An interesting aspect is his hair: In the 19th century, hair given away as a token of friendship or romantic love became very popular, and Paganini also seems to have made use of this fad. In 2009, a lock of hair, purportedly that of Paganini, kept in a locked presentation box together with a bilingual autograph inscription saying: "Alla Signora Chatterton avec les compliments de Nicolò Paganini" was bought at an auction. From this hair lock a sample was taken and was investigated morphologically by using digital light microscopy (digital microscope VHX-100, Keyence) in reflected and transmitted light with and without polarization at different magnifications up to 1:5,000. The sample was then compared with a hair sample from the possession of the Paganini family, which had been microscopically examined in 2012 by the co-author of this paper yielding numerous figures with measurement results that had been stored and could be retrieved for direct comparison. The hair sample consisted of ten strands of hair or hair fragments and was investigated with great effort for the following parameters: exogenous hair damage, especially feeding traces caused by parasites, modeling and angulation of hairs, hair thickness, medulla and pigmentation, curling and mercury load on the trace material. After evaluation of all findings not only a non-exclusion of identity can be determined, but due to the broad match of also rare findings there is no reasonable doubt about their identity. In addition, the findings suggest that the studied hair samples are in fact from Paganini's head. The present case of Nicolò Paganini's hair lock is also an excellent starting point for reflections on the probative value of trace hair investigations. This point is also critically discussed in the paper. Finally, this study shows that said lock of hair had probably really been dedicated and given to Eliza Davenport Latham (born on 25 November 1806, died on 9 January 1877), the future wife of the, at that time, best-known and most famous English harpist John Balsir Chatterton (born on 25 November 1804, died on 9 April 1871). Paganini must have met her on his concert tour 1831/32, where he had travelled to Paris, London, the rest of England, Scotland and Ireland.