Application of Difference Equations in Predictive Control Systems for DC-DC Converters

Verbiczkij, E. V.; Romashko, V. Ya.

doi:10.20535/2312-1807.2012.17.2.220024

Electronics and Communications

2012

DOI: 10.20535/2312-1807.2012.17.2.220024

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Application of Difference Equations in Predictive Control Systems for DC-DC Converters

E. V. Verbiczkij¹,

V. Ya. Romashko²

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“…In these works, finding a solution is connected with the calculation of derivatives and carrying out an iterative process. In [8], the replacement of the integration of state equations by difference equations is considered, but not a DC converter is analyzed, but only a substitute circuit without semiconductor switches, which are necessarily included in the circuits of power parameter converters. It is also worth noting that the application of this method requires calculations using rather cumbersome analytical expressions.…”

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Acceleration of exit to steady-state mode when modeling semiconductor converters

Yagup¹,

Yagup²

2023

Electrical Engineering & Electromechanics

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The purpose of the article is to develop a method and algorithm for the accelerated calculation of steady states of thyristor converters using computer models of converters based on the use of the theory of difference equations in the form of recurrent linear relationships for state variables on the boundaries of the converter periods. Methodology. The article is devoted to the solution of the problem of reducing the cost of computer time to achieve the steady state of the thyristor converter. For this, it is proposed to use difference equations, for which the values of the state variables at the limits of the periods of the converter's operation are taken as variables. These values are accumulated during the initial periods of the transient process of the converter, after which the coefficients of the difference equations are calculated, and the following limit values of the state variables are found using the defined difference equations. A program in the algorithmic language of the MATLAB system is presented, which implements the proposed method and algorithm compatible with the visual model of the converter. Results. The theoretical foundations of the proposed method and the area of its applicability are substantiated. Recommendations are presented for determining the number of periods of the flow process that must be calculated for further implementation of the method. An algorithm for forming matrix relations for determining the coefficients of difference equations with respect to the values of state variables at the boundaries of periods is shown. Matrix equations are given that allow calculating the parameters of the steady state. All stages of the algorithm are illustrated with numerical examples. Originality. The method rationally combines all the advantages of visual modeling based on the numerical integration of equations using the method of state variables for the periods of operation of the converter with the analytical solution of the recurrence relations obtained on this basis for the values of state variables at the boundaries of adjacent periods. Practical value. The proposed method makes it possible to reduce by several orders of magnitude the computer time spent on calculating the parameters of the steady-state mode of the converter and, at the same time, to significantly improve the accuracy of these calculations. The practical application of the method is very effective in research and design of thyristor converters of electrical energy parameters.

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Acceleration of exit to steady-state mode when modeling semiconductor converters

Yagup¹,

Yagup²

2023

Electrical Engineering & Electromechanics

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Modeling of Processes on the Basis of State Space Averaging in Boost Converter With Magnetically Coupled Elements

Rudenko¹

2021

Praci Inst. elektrodin. Nac. akad nauk Ukr.

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The features of the state-space average method using Lagrange's theorems for calculation of processes in the boost converter with magnetically coupled elements (with autotransformer connection of inductors) in continuous currents mode are considered. A mathematical model of the converter based on relative variables has been developed, which makes it possible to calculate processes in a wide range of parameters taking into account the degree of magnetic coupling between inductive elements, including the definition of constant and pulsating components. It is shown that to obtain a complete system of the algebraic equations as a mathematical model of converters, which provides its single solution, it is advisable to additionally use the ratio according to energy balance in reactive elements in a steady state at the operation intervals of the converter during commutation period. The boundary dependences of boost converter parameters with magnetically coupled elements between the modes of discontinuous and continuous currents are calculated. The relative characteristics of the converter have been studied, which demonstrate the influence of imperfection of the magnetic coupling in the regulation zone of the relative duration value of switching interval. Ref. 21, fig. 6.

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Application of Difference Equations in Predictive Control Systems for DC-DC Converters

Cited by 2 publications

References 0 publications

Acceleration of exit to steady-state mode when modeling semiconductor converters

Acceleration of exit to steady-state mode when modeling semiconductor converters

Modeling of Processes on the Basis of State Space Averaging in Boost Converter With Magnetically Coupled Elements

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