Energy-optimal current distribution in a complex linear electrical network with pulse or periodic voltage and current signals. Optimal control

Siwczyński, M.; Żaba, S.; Drwal, Andrzej

doi:10.1515/bpasts-2016-0006

Cited by 3 publications

(11 citation statements)

References 5 publications

(5 reference statements)

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“…It allows to replace the source's inner loss operator R with "the source's normative resistance" of a scalar value. Therefore, according to (21)(22)(23): The other optimal current waveforms (for other λ and r values) are almost identical, therefore instead of presenting them, the absolute error waveforms, referred to the first optimal current, were shown (Fig. 11-13).…”

Section: Examplementioning

confidence: 98%

“…with the proviso that the source's normative resistance must be calculated from formula (22), the next Lagrange's factor is obtained:…”

Section: Examplementioning

confidence: 99%

“…M. Brodzki, M. Pasko, M. Siwczyński and J. Walczak have discussed optimization theory in the following publications: [4,10,11,14,24]. Further work can be found in the literature [15][16][17][18][19][20][21][22] and in many other items, however this paper is not intended to list out existing solutions. The purpose of this publication is to introduce new solutions, hitherto unknown, and compare them with previously known solutions by other authors.…”

Section: Introductionmentioning

confidence: 99%

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Bulletin of the Polish Academy of Sciences: Technical Sciences

Hawron¹,

Siwczyński²

2018

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Section: Examplementioning

confidence: 98%

“…with the proviso that the source's normative resistance must be calculated from formula (22), the next Lagrange's factor is obtained:…”

Section: Examplementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Bulletin of the Polish Academy of Sciences: Technical Sciences

Hawron¹,

Siwczyński²

2018

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“…In DC circuits there is the minimum energy principle, according to which the currents distribution in a complex network are such that the total energy losses are minimal [1,2]. However, this rule usually does not work in the sinusoidal current circuits [3].…”

Section: Introduction Energy-optimal Distribution and Control Systemsmentioning

confidence: 99%

Bulletin of the Polish Academy of Sciences: Technical Sciences

Siwczyński¹,

Żaba²,

Drwal³

2019

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In the complex RLC network, apart from the currents flows arising from the normal laws of Kirchhoff, other distributions of current, resulting from certain optimization criteria, may also be received. This paper is the development of research on distribution that meets the condition of the minimum energy losses within the network called energy-optimal distribution. Optimal distribution is not reachable itself, but in order to trigger it off, it is necessary to introduce the control system in current-dependent voltage sources vector, entered into a mesh set of a complex RLC network. For energy-optimal controlling, to obtain the control operator, the inversion of R(s) operator is required. It is the matrix operator and the dispersive operator (it depends on frequency). Inversion of such operators is inconvenient because it is algorithmically complicated. To avoid this the operator R(s) is replaced by the R' operator which is a matrix, but non-dispersive one (it does not depend on s). This type of control is called the suboptimal control. Therefore, it is important to make appropriate selection of the R' operator and hence the suboptimal control. This article shows how to implement such control through the use of matrix operators of multiple differentiation or integration. The key aspect is the distribution of a single rational function H(s) in a series of 's' or 's -1 '. The paper presents a new way of developing a given, stable rational transmittance with real coefficients in power series of 's/s -1 ՚. The formulas to determine values of series coefficients (with 's/s -1 ') have been shown and the conditions for convergence of differential/integral operators given as series of 's/s -1 ' have been defined.

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“…In previous papers, optimal solutions were achieved i.e. for instantaneous power exceed criterion [1,2], for minimum energy losses [3,4], with usage of the similarity principle [5], etc.…”

Section: Introductionmentioning

confidence: 99%

The optimal online control of the instantaneous power and the multiphase source’s current

Siwczyński¹,

Hawron²

2017

Bulletin of the Polish Academy of Sciences Technical Sciences

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Abstract. The paper presents the new optimal real-time control algorithm of the power source. The minimum of the square-instantaneous current was assumed as an optimal criterion, with an additional constraint on source instantaneous power. The mathematical model of a multiphase source was applied as a voltage-current convolution in the discrete time domain. The resulting control algorithm was the recursive digital filter with infinite recursion.

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Energy-optimal current distribution in a complex linear electrical network with pulse or periodic voltage and current signals. Optimal control

Cited by 3 publications

References 5 publications

Bulletin of the Polish Academy of Sciences: Technical Sciences

Bulletin of the Polish Academy of Sciences: Technical Sciences

Bulletin of the Polish Academy of Sciences: Technical Sciences

The optimal online control of the instantaneous power and the multiphase source’s current

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