INVESTIGATION OF STABILITY IN SYSTEMS WITH DELAY AND WITH DISTRIBUTED PARAMETERS

Abstract The simple digital filters are not sufficient for digital modeling of systems with distributed parameters. It is necessary to apply more complex digital filters. In this work, a set of filters, called the digital function filters, is proposed. It consists of digital filters, which are obtained from causal and stable filters through some function transformation. In this paper, for several basic functions: exponential, logarithm, square root and the real power of input filter, the recursive algorithms of the digital function filters have been determined The digital function filters of exponential type can be obtained from direct recursive formulas. Whereas, the other function filters, such as the logarithm, the square root and the real power, require using the implicit recursive formulas. Some applications of the digital function filters for the analysis and synthesis of systems with lumped and distributed parameters (a long line, phase shifters, infinite ladder circuits) are given as well.

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Extended electric power sources

10.26434/chemrxiv.5797971.v1 ◽

2018 ◽

Author(s):

T.A. Konev ◽

V.A. Kuzmin ◽

E. Yu. Mutovina ◽

R.D. Puzhaykin ◽

Vladimir Salomatov

Keyword(s):

Electric Power ◽

Electric Current ◽

Load Resistance ◽

Active Power ◽

Operating Voltage ◽

Power Sources ◽

Distributed Parameters ◽

Analytical Expressions ◽

Characteristic Resistance ◽

Length Effects

Chemical sources of current are investigated as lines with distributed parameters. Analytical expressions are obtained for the voltage and active power values of the source at different distances from the beginning of the cell as well as dependences of the working voltage and active power on the source length. Effects of a reduction in the operating voltage and active power are due to the flow of electric current along the source during operation. The magnitude of these effects depends not only on the length of the source, but also on the ratio of characteristic resistance to the load resistance.<br>

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On the effect of transition from a model with concentrated parameters to a model with distributed parameters

Journal of Physics Conference Series ◽

10.1088/1742-6596/1902/1/012041 ◽

2021 ◽

Vol 1902 (1) ◽

pp. 012041

Author(s):

M V Polovinkina

Keyword(s):

Distributed Parameters

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Modeling of Mechanical Systems Using Rigid Bodies and Transmission Line Joints

Journal of Dynamic Systems Measurement and Control ◽

10.1115/1.2802523 ◽

1999 ◽

Vol 121 (4) ◽

pp. 606-611 ◽

Cited By ~ 5

Author(s):

Petter Krus

Keyword(s):

Transmission Line ◽

Hydraulic System ◽

Large Scale ◽

Mechanical Systems ◽

Rigid Bodies ◽

Large Scale Systems ◽

Distributed Parameters ◽

Transmission Line Modeling ◽

Integration Algorithms ◽

Transmission Line Models

Dynamic simulation of systems, where the differential equations of the system are solved numerically, is a very important tool for analysis of the detailed behavior of a system. The main problem when dealing with large complex systems is that most simulation packages rely on centralized integration algorithms. For large scale systems, however, it is an advantage if the system can be partitioned in such a way that the parts can be evaluated with only a minimum of interaction. Using transmission line models, with distributed parameters, physically motivated pure time delays are introduced in the communication between components. These models can be used to represent both lines in a hydraulic system and springs in mechanical systems. As a result, components and subsystems can be simulated more independently of each other. In this paper it is shown how flexible joints based on transmission line modeling (TLM) with distributed parameters can be used to simplify modeling of large mechanical link systems interconnected with other physical domains. Furthermore, it provides a straightforward formulation for parallel processing.

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