DETERMINATION OF THE CONSTANTS OF INTEGRATION WHEN THE CALCULATING THE TRANSIENT PROCESSES IN CONVERTERS
Main Article Content
Abstract
Requirements, presented to the methods of calculating the transient in converters, that can be used for the elaboration of their control systems are analyzed. It is noted that one of the basic requirements for the control of the converter in real time, as well as predictive control, is the possibility of experimental determination of the main parameters included in the calculation formulas. Disadvantages of the classic method of calculation of transient processes connected with insufficient formalized procedure of determining the integration constants are shown. The physical sense meaning of the constants of integration is analyzed. It is shown that the integration constants depend on the external action, the initial conditions in the reactive elements, and also on the secondary parameters of the electric circuit calculated for the frequencies of its own oscillations. On the basis of the analysis, a formalized procedure for compiling a system of equations to determine the integration constants, all the coefficients for which can be determined experimentally or preliminarily calculated, is proposed. As an example, formulas for determining the integration constants for a second-order circuit are given and various individual cases of its application are analyzed.
Ref. 10, Fig. 1, Table. 1.
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
References
L. A Bessonov. Teoretycheskye osnovy élektrotekhnyky. Élektrycheskye tsepy [The theory of Electrical Engineering. Electrical circuits: a textbook]. Moskow: Gardariki, 2007.
Verbytskyi Ye. Systemy uperedzhuvalʹnoho keruvannya impulʹsnymy peretvoryuchamy, [Predictive control systems in DC-DC converters], Tekhnichna electrodynamica. Kyiv. 2012, no. 3. Pp. 123-124.
Sigorsky V. P, Petrenko A. Osnovy teorii elektronnykh skhem [Fundamentals of the theory
of electronic circuits]. Kyiv: Vyshcha Shkola, 1971.
Shebes M.R, Kablukova М.В. Zadachnyk po teoryy lyneynykh élektrycheskykh tsepey, [Tasks on the theory of linear electric circuits. - M.: Vysshaya Shkola, 1990. 544 p.
Zhuikov V. Ja., Romashko V. Ja. Perekhidni protsesy: navchalʹnyy posibnyk [Transient processes: textbook.] - Kyiv: NTUU "KPI". 2010. 184 p.
A. G. Beccuti, G. Papafotiou, R. Frasca and M. Morari, Explicit Hybrid Model Predictive Control
of the dc-dc Boost Converter, in Proc. IEEE PESC, pp. 2503 – 2509, 2007.
DOI: 10.1109/PESC.2007.4342407
S. Y. Chae, B.C. Hyun, P. Agarwal, W.S. Kim, B.H. Cho, “Digital predictive feed-forward controller for a dc-dc converter in PDP”, in Proc. IEEE APEC 2007, pp. 894-898.
De Keyser, R. M. C. “A Gentle Introduction to Model Based Predictive Control”. in Europen Union EC-ALFA-PADI 2 Int. Conference on “Control Engineering and Signal Processing”, Piura, 1998.
Soeterboek, A. R. M., Verbruggen, H. B., Van den Bosch P. P. J. and M. Bulter ”On the unifications
of predictive control algorithms”. in Proc. Of the 29 th IEEE Conference on Decision and Control, 1990.
Sommer, S. “Model-based predictive control methods based on non-linear and bilinear parametric system descriptions“ іn Advances in Model-Based Predictive Control (C.R. Clark, Ed., Oxford University Press, Oxford), 1994, pp. 192 - 204.