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Modelling of Dry-Low Emission Gas Turbine Fuel System using First Principle Data-Driven Method

Omar Mediah Binti, Ibrahim Rosdiazli, Abdullah Mohd Faris, Tarik Mohammad Haizad Mohd

Journal of Power Technologies

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2020

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Vol. 100, nr 1

1--13

EN

Achieving reliable power generation from Dry Low Emission gas turbines together with low CO2 and NOx discharge is a great challenge, as the rigorous control strategy is susceptible to frequent trips. Therefore, it is crucial to establish a dynamic model of the turbine (such as the one commonly attributed to Rowen) to ascertain the stability of the system. However, the major distinctive fuel system design in the DLE gas turbine is not constructed in the well-established model. With this issue in mind, this paper proposes a modelling approach to the DLE gas turbine fuel system which consists of integrating the main and pilot gas fuel valve into Rowen’s model, using the First Principle Data-Driven (FPDD) method. First, the structure of the fuel system is determined and generated in system identiﬁcation. Subsequently, the validated valve models are integrated into Rowen’s model as the actual setup of the DLE gas turbine system. Ultimately, the core of this modelling approach is fuel system integration based on the FPDD method to accurately represent the actual signals of the pilot and main gas fuel valves, gas fuel ﬂow and average turbine temperature. Then, the actual signals are used to validate the whole structure of the model using MAE and RMSE analysis. The results demonstrate the high accuracy of the DLE gas turbine model representation for future utilization in fault identiﬁcation and prediction study.

2

Approximate state-space and transfer function models for 2x2 linear hyperbolic systems with collocated boundary inputs

Bartecki Krzysztof

International Journal of Applied Mathematics and Computer Science

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2020

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Vol. 30, no. 3

475--491

EN

Two approximate representations are proposed for distributed parameter systems described by two linear hyperbolic PDEs with two time- and space-dependent state variables and two collocated boundary inputs. Using the method of lines with the backward difference scheme, the original PDEs are transformed into a set of ODEs and expressed in the form of a finite number of dynamical subsystems (sections). Each section of the approximation model is described by state-space equations with matrix-valued state, input and output operators, or, equivalently, by a rational transfer function matrix. The cascade interconnection of a number of sections results in the overall approximation model expressed in finite-dimensional state-space or rational transfer function domains, respectively. The discussion is illustrated with a practical example of a parallel-flow double-pipe heat exchanger. Its steady-state, frequency and impulse responses obtained from the original infinite-dimensional representation are compared with those resulting from its approximate models of different orders. The results show better approximation quality for the “crossover” input–output channels where the in-domain effects prevail as compared with the “straightforward” channels, where the time-delay phenomena are dominating.

3

Modified multi-valued method as an effective way of identifying investment areas, as illustrated with the example of Dobczyce town

Litwin Urszula, Misiak Karolina

Geomatics, Landmanagement and Landscape

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2019

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no. 2

113--133

EN

The multi-valued method proposed by Walerian Wierzchowski [1996], subsequently modified by U. Litwin and K. Misiak, is a combination of cartographic research methods and mathematical analyses. The proposed technique presented in action can be viewed as a series of feasibility studies, which are the necessary foundation for programming the optimal structure of land use in urban areas. As exemplified in the collected information, various cartographic studies and existing data about the town of Dobczyce, four possible designated functions have been presented, of which priority was given to the industrial function. The obtained results confirmed the effectiveness of the developed method, its usefulness in the planning practice, while highlighting the synergistic effects of the set objectives.

PL

Zmodyfikowana przez U. Litwin oraz K. Misiak metoda wielowartościowa Waleriana Wierzchowskiego [1996] stanowi połączenie metod badawczych kartograficznych oraz analiz matematycznych. Proponowane w przedstawionej technice działania można rozpatrywać jako prace studialne, stanowiące niezbędną bazę do programowania optymalnej struktury użytkowania ziemi na terenach miejskich. Na przykładzie zebranych informacji, różnych opracowań kartograficznych i istniejących informacji o mieście Dobczyce, przedstawiono cztery cele przeznaczanie, z których jako priorytetowy wybrano- funkcję przemysłową. Uzyskane wyniki potwierdziły skuteczność opracowanej metody, jej przydatność w praktyce planistycznej, podkreślając przy tym synergiczne działanie zestawionych celów.