Enhancement of instantaneous power method in the problems of estimation of electromechanical complexes power controllability (original) (raw)
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Systems & Control Letters, 2007
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Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, 2005
This paper is concerned with the construction of a power-based modeling framework for a large class of mechanical systems. Mathematically this is formalized by proving that every standard mechanical system (with or without dissipation) can be written as a gradient vector field with respect to an indefinite metric. The form and existence of the corresponding potential function is shown to be the mechanical analogue of Brayton and Moser's mixed-potential function as originally derived for nonlinear electrical networks in the early sixties. In this way, several recently proposed analysis and control methods that use the mixed-potential function as a starting point can also be applied to mechanical systems.
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PRZEGLĄD ELEKTROTECHNICZNY, 2018
A possibility of application of the method for the harmonic analysis of power signals in the non-stationary modes of electrohydraulic complexes operation is demonstrated. To automate the procedure of power harmonic analysis an energy analyzer is created. It enables the research of the electrohydraulic complex power processes when they change in real time with preservation of all information about the initial power-forming signals. It is obtained that the wave processes in the pipeline in non-stationary modes are accompanied by increase of the power signals variable components, especially, their low-frequency component. It is proposed to use the indices based on determination of the power root-mean-square values to assess the energy conversion processes in the electrohydraulic complex. Streszczenie. W pracy zademonstrowano możliwość aplikacji metody analizy harmonicznych sygnałów mocy w niestacjonarnych modach układów elektrohydraulicznych. Do zautomatyzowania procesu stworzono procedurę harmonicznej analizy mocy w analizatorach energii. Umożliwia to badanie procesów w układach elektrohydraulicznych w czasie realnym, podczas ich zmiany z zachowaniem wszystkich informacji o początkowych sygnałach. Otrzymano, że niestacjonarne procesy falowe w rurociągu stowarzyszone są ze wzrostem składników sygnałów mocy, specjalnie tych o niskiej częstotliwości. Zaproponowano wykorzystanie indeksów bazujących na określeniu wartości skutecznej w celu oszacowania procesów przemiany energetycznej w układzie elektrohydraulicznym. (Automatyzacja procedur analiz harmonicznych układu elektrohydraulicznego)
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DOAJ (DOAJ: Directory of Open Access Journals), 2002
The analyses concerning an electric consumer may consist in determination of several components of electric current, injected by this consumer, in the electric network. Regarding sequence negative and sequence zero components of electric current, the unbalanced electrical consumer is the cause of its presence. Regarding harmonic components of electric current, the non-linear consumer is the cause of its presence. The efficiency about electric energy consumption may be characterized by the values of those components; the paper describes several considerations regarding those components of electrical current and its flow.
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The article is devoted to the creation of methodological foundations for solving a direct problem of dynamics for linear dynamic systems, the motion of which is described by ordinary differential equations with nonzero initial conditions. Consideration of the motions of linear dynamic systems allows to simplify the mathematical apparatus used and to solve motion determination problems by using a known approach based on transfer functions. However, due to the fact that the classical definition of transfer functions does not involve taking into account non-zero initial conditions, which are caused by the presence of initial deviations of the coordinates of the control object from their desired values, in our work we use the Laplace-Carson transformation to find the corresponding images and write the equations of motion in operator form. This approach, in contrast to the generally acceptedone, led to the introduction of information about the initial conditions of motion in the right-hand side of the corresponding operator differential equations and necessitated the generalization of the vector of control signals by including in it components that take into account the initial conditions of motion of the system under consideration. Such transformations made it possible to generalize the concept of a matrix transfer function as a matrix linear dynamic operator, which consists of two components that define disturbed free and controlled forced movements. The use of such an operator makes it possible to study the dynamics of the considered linear system both separately for each of the components of the generalized vector of controlling influences, and in the complex, thus solving the direct problem of the dynamics of linear systems. As an example, we show the use of the proposed approach for motion analysis of a DC motor with nonlinear fan friction based on its piecewise linearized model.
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E3S web of conferences, 2022
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Towards Power-Based Control Strategies for a Class of Nonlinear Mechanical Systems
2016
Abstract: In the present work we are interested on the derivation of power-based passivity properties for a certain class of non-linear mechanical systems. While for (non)-linear mechanical systems, it is of common use to adopt a storage function related to the system’s energy in order to show passivity and stabilize the system on a desired equilibrium point(e.g., IDA-PBC (Ortega et al., 1998)), we want here to obtain similar properties related to the system’s power. The motivation arises from the idea that in some engineering applications(satellite orbit motion, aircraft dynamic,etc...)seems more sensible to cope with the power flowing into the system instead of the energy that for stabilization purposes, means to consider the systems’s equilibrium the state for which the energy flow-rate(i.e.,system’s power)is minimal. In this respect, we recall first the power-based description for a certain class of (non)-linear mechanical systems given in (de Rinaldis and Scherpen, 2005) and th...