Analysis of Phase Trajectories of the Third - Order Dynamic Objects

Kuzenkov, Olexandr; Kuznetsov, Vitaliy; Tryputen, Mykola

doi:10.1109/ukrcon.2019.8879819

Cited by 15 publications

(9 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…That is why we expand proposed approach on the class of the linear dynamical objects with uncertain parameters. Such class of object we define by using interval differential equations [22][23][24]…”

Section: 2mentioning

confidence: 99%

Lyapunov Function in the Hyper-Complex Phase Space

Voliansky

Volianska

Kuznetsov

et al. 2022

Lecture Notes in Electrical Engineering

Self Cite

View full text Add to dashboard Cite

The paper deals with the development of background for defining Lyapunov functions for a wide range of linear dynamical objects. This background is based on assuming that the Lyapunov function is redundant energy in the considered object and this energy is dissipated only during controlled motion. We assume the full derivative of the Lyapunov function for an autonomous motion of the control objects equals zero and we use its summands to define linear algebraic equations. The solution of these equations allows us to find unknown terms of the Lyapunov function. The use of these terms, while the Lyapunov equation is being written down, shows that the left-hand expression in the Lyapunov equation is equal to the zero matrix. Thus, we avoid subjective assuming of quadratic form terms in the right-hand of the Lyapunov equation. We extend the proposed approach to the class dynamical system with uncertainty. This extension is performed by using interval methods, which allow defining object motions for minimal and maximal values of parameters. We show that for the control object, which parameters are not exactly known, one should consider two equations of object motions, which correspond to its trajectories on the boundaries of the intervals. Lyapunov functions are defined for these boundary trajectories. Since such an approach increases the number of the considered equations we offer to decrease them by using hyper-complex numbers while object equations are written down.

show abstract

Section: 2mentioning

confidence: 99%

Lyapunov Function in the Hyper-Complex Phase Space

Voliansky

Volianska

Kuznetsov

et al. 2022

Lecture Notes in Electrical Engineering

Self Cite

View full text Add to dashboard Cite

show abstract

“…A feature of the work of these systems is the provision of power to consumers of the first and second categories, namely: circuits of automatic and semiautomatic blocking, signalling, communications, outdoor track lighting, automatic heating control systems for buildings etc. [10][11][12]. Accordingly, for such networks it is necessary to determine the indicators on which the reliability of providing electric energy depends [13][14][15].…”

Section: Relevancementioning

confidence: 99%

Analysis of the neutral grounding modes influence on the reliability characteristics of local systems with renewable energy sources

Ostapchuk¹,

Kruczek²,

Kuznetsov³

et al. 2021

Diagnostyka

Self Cite

View full text Add to dashboard Cite

When comparing the performance indicators of electrical networks with different types of neutral grounding, along with the fulfilment of the requirement to ensure reliability of power supply to consumers, serious attention is drawn to the main network parameters influencing the performance of power supply systems. Analysis of research and its results, reported above, on the influence of the neutral ground of power networks on the reliability and electrical safety conditions of the power supply systems as a whole, on the damage of distribution networks and electrical equipment as well as on the working capacity of relay protection devices, provides an opportunity to estimate each specific operation mode of the neutral and to develop recommendations aimed at strengthening the positive indicators of the corresponding modes. Other things being equal, reliability of power supply to electrical receivers or reliability of distribution networks is mainly determined by the damage to network elements and the performance of relay protection devices. The degree of influence of these factors on the reliability of distribution networks depends on the neutral mode, which in turn determines the level of internal overvoltages and the nature of transient processes at earth fault.

show abstract

“…With some wear of the contact wire, a platform with a width a (Fig. 4) is formed on its working part, half of this size 2 a is determined by the following expression [28][29][30][31][32]:…”

Section: Transient Resistancementioning

confidence: 99%

Development of a Method of Calculating the Temperature of a Survey Assembly When Preparing a Train Dispatch

Ustymenko

Kuznetsov

Oksana

et al. 2020

2020 IEEE 15th International Conference on Advanced Trends in Radioelectronics, Telecommunications and Computer Engineering (TC

View full text Add to dashboard Cite

The features of the thermal state of the current collection unit «contact wire -contact insert of the current collector» in the conditions of preparation of electric rolling stock for the journey are considered. As part of the study, a methodology has been developed for estimating the heating temperature of the power sliding contact zone in the conditions of train preparation for journey. Application of the method will help to reduce the number of «burnouts» of the contact wire due to the exact selection of the heating/cooling time of the train for a certain heating/conditioning current when preparing the electric rolling stock for the journey.It was established that the cause of the «burns» of the contact wire in the parking lots when preparing the train dispatch is the excess of the permissible temperature of the power sliding contact as a result of the prolonged action of the heating/conditioning current. The standard approach for determining the duration of heating is based on the average values of the loads on the system and therefore does not take into account some factors, for example, the state of the contact wire, the state of the contact insert of the current collector, the number of cars in the train, and so on. The proposed technique is based on the classical theory of electrical contact and the theory of heating a homogeneous body, which makes it possible to accurately assess the thermal state of the power sliding contact and convenient enough for use in operating conditions.The results of the work are of practical value, since the technology of preparing a train for dispatch can be supplemented by calculating the contact temperature «contact wire elementcontact insert element» in accordance with the proposed methodology. This will allow for a specific train in specific conditions to apply a set of measures to prevent «burnout» of the contact wire in the event of a possible temperature exceeding the permissible value.

show abstract

Analysis of Phase Trajectories of the Third - Order Dynamic Objects

Cited by 15 publications

References 6 publications

Lyapunov Function in the Hyper-Complex Phase Space

Lyapunov Function in the Hyper-Complex Phase Space

Analysis of the neutral grounding modes influence on the reliability characteristics of local systems with renewable energy sources

Development of a Method of Calculating the Temperature of a Survey Assembly When Preparing a Train Dispatch

Contact Info

Product

Resources

About