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EN
The paper discusses a process of formulation and identification of a first-principle data-driven heater model. The model is formulated using a system of continuous ordinary differential equations capturing usually nonlinear relations among variables of the model. The considering model applies three categories of parameters: geometrical, physical and phenomenological. Geometrical and physical parameters are deduced from construction or operational documentation. The phenomenological parameters are the adjustable ones. First-principle models are frequently adjusted by trial-and-error, which can lead to non-optimal results. In order to avoid deficiencies of the trial-and-error approach, a formalized mathematical method using optimization techniques to minimize the error criterion, and find optimal values of adjustable model parameters, was proposed and demonstrated in this work.
PL
Artykuł omawia proces modelowania podgrzewacza regeneracyjnego pracującego w systemie bloku energetycznego z wykorzystaniem strojonych równań fizycznych. Model jest formułowany z użyciem układu zwyczajnych równań różniczkowych obejmujących wzajemne nieliniowe relacje pomiędzy zmiennymi modelu. Rozważany model stosuje trzy kategorie parametrów: geometryczne, fizyczne, oraz fenomenologiczne. Parametry geometryczne oraz fizyczne są ustalane na podstawie dokumentacji konstrukcyjnej oraz operacyjnej. Parametrami strojonym są parametry fenomenologiczne. Modele wyprowadzane na podstawie praw fizycznych są często strojone metodą prób i błędów, co może prowadzić do nieoptymalnych wyników. Dla ominięcia wad metody została zastosowana metoda najmniejszych kwadratów do strojenia parametrów fenomenologicznych modelu podgrzewacza tj. współczynników wymiany ciepła.
2
Content available remote Optimization of hydraulic dampers with the use of Design For Six Sigma methodology
EN
Purpose: The aims of this paper are to identify the root cause of the temporary decrease in the damping force which occurs during the early stage of the stroking cycle’s compression phase, the so-called damping lag, to describe measures of the phenomenon and to present methods for optimizing the design towards minimizing this (negative) effect. Design/methodology/approach: A theoretical background is presented in a constructive and computable manner with emphasis on data-driven modeling. The Design For Six Sigma (DFFS) approach and tools were used to validate the model statistically and, more importantly, to propose a method for data-driven optimization of the design. Findings: The root cause of the damping lag was confirmed during model validation as being a result of oil aeration. DFFS methodology proved to be useful in achieving design optimality. Research limitations/implications: The statistical model and conclusions drawn from it are only valid in the interior of the investigated region of the parameter space. Additionally, it might not be possible to find a local minimum of the aeration measure (damping lag) inside the selected region of the parameter space; a/the (depending on the context) global minimum located at the boundary might be the only possible solution. Practical implications: The optimal value of parameters is not unique and thus additional sub-criteria (cost/durability) can be imposed. Conducting tests in an organized manner and according to the Six Sigma methodology allows the design optimization process to be expedited and unnecessary costs to be eliminated. Originality/value: Improvements in understanding and measuring aeration effects constitute a clear foundation for further product optimization. Signal post-processing algorithms are essential for the statistical analysis and are the original contribution of this work.
EN
Purpose: A major concern of modern diagnostics is the use of vibration or acoustic signals generated by a machine to reveal its operating conditions. This paper presents a method which allows to periodically obtain estimates of model eigenvalues represented by complex numbers. The method is intended to diagnose rotating machinery under transient conditions. Design/methodology/approach: The method uses a parametric data-driven model, the parameters of which are estimated using operational data. Findings: Experimental results were obtained with the use of a laboratory single-disc rotor system equipped with both sliding and hydrodynamic bearings. The test rig used allows measurements of data under normal, or reference, and malfunctioning operation, including oil instabilities, rub, looseness and unbalance, to be collected. Research limitations/implications: Numerical and experimental studies performed in order to validate the method are presented in the paper. Moreover, literature and industrial case studies are analyzed to better understand vibration modes of the rotor under abnormal operating conditions. Practical implications: A model of the test rig has been developed to verify the method proposed herein and to understand the results of the experiments. Hardware realization of the proposed method was implemented as a standalone operating module developed using the Texas Instruments TMS3200LF2407 Starter Kit. Originality/value: The parametric approach was proposed instead of nonparametric one towards diagnosing of rotating machinery.
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