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EN
The paper is a structured, in-depth analysis of dual active bridge modeling. In the research new, profound dual active bridge converter (DAB) circuit model is presented. Contrary to already described idealized models, all critical elements including numerous parasitic components were described. The novelty is the consideration of a threshold voltage of diodes and transistors in the converter equations. Furthermore, a lossy model of leakage inductance in an AC circuit is also included. Based on the circuit equations, a small-signal dual active bridge converter model is described. That led to developing control of the input and output transfer function of the dual active bridge converter model. The comparison of the idealized model, circuit simulation (PLECS), and an experimental model was conducted methodically and confirmed the high compatibility of the introduced mathematical model with the experimental one. Proposed transfer functions can be used when designing control of systems containing multiple converters accelerating the design process, and accurately reproducing the existing systems, which was also reported in the paper.
EN
DC-DC converters are popular switch-mode electronic circuits used in power supply systems of many electronic devices. Designing such converters requires reliable computation methods and models of components contained in these converters, allowing for accurate and fast computations of their characteristics. In the paper, a new averaged model of a diode-transistor switch containing an IGBT is proposed. The form of the developed model is presented. Its accuracy is verified by comparing the computed characteristics of the boost converter with the characteristics computed in SPICE using a transient analysis and literature models of a diode and an IGBT. The obtained results of computations proved the usefulness of the proposed model.
EN
: Averaged models: an AC large signal, DC and AC small signals of a currentcontrolled buck converter are described. Only peak current mode control of a converter working in the continuous conduction mode (CCM) is considered. The model derivation differs from the typical approaches presented in the literature and doesn’t refer to the multiloop concept of a current controlled converter. The separation of the variables method is used in the model derivation. The resulting models are presented in the form of an equation set and equivalent circuits. The calculations based on the presented models are verified by measurements and full-wave PSpice simulations.
PL
W projektowaniu bloków sterowania w impulsowych przekształtnikach napiecia stałego wykorzystuje się opisy bloku głównego przekształtnika w formie transmitancji małosygnałowych. Jakość projektu bloku sterowania zależy miedzy innymi od dokładności z jaką znane są te transmitancje. W pracy przedyskutowano czynniki, które powodują, że transmitancje bloku głównego przekształtnika mogą być znane z ograniczoną dokładnością, a otrzymywany na ich podstawie projekt bloku sterujacego powinien być traktowany jedynie jako wstępne przybliżenie.
EN
In the design of the control circuits for switch-mode power converters, the formulas for small-signal converter transmittances are utilized. The quality of the control circuit design depends on the accuracy in the determination of the power stage transmittances. In the paper, four groups of the small-signal transmittances inaccuracy are pointed out and discussed. They are connected to the errors in the description of the parasitic effects in the converter components; errors introduced in the derivation of the converter averaged models; errors resulting from the small-signal approximation of the nonlinear dependencies and the errors in the measurements used for the verification of the theoretical models.
5
Content available remote Uśredniony model impulsowej przetwornicy Buck sterowanej prądowo
PL
W niniejszej pracy opisano nowy sposób tworzenia uśrednionego modelu przetwornicy Buck sterowanej prądowo, w wersji wielkosygnałowej. Przedstawiono rozważania teoretyczne oraz eksperymentalne dotyczące impulsowej przetwornicy napięcia stałego Buck pracującej z modulacją szerokości impulsów (PWM), ze stałą częstotliwością przełączania. Przedstawione badania odnoszą się jedynie do przekształtnika pracującego w trybie CCM. Wyprowadzony model uśredniony jest modelem pierwszego rzędu. Rozważania teoretyczne zilustrowano eksperymentalnie, a otrzymana zgodność wyników pomiarów i obliczeń może być uznana za zadowalającą.
EN
New method of the derivation of the large-signal averaged model of current-programmed Buck DC-DC converter is presented in the paper. Theoretical considerations and experiments are performed for constant switching frequency PWM controlled converter working in CCM. The presented derivation concerns the simplified description of converter in which parasitic resistances of the components are neglected. The essential feature of the presented model is that it is the first order model. The experimentally obtained results confirm the validity of the model.
EN
This article presents a study of an AC voltage stabilizer based on a three-phase hybrid transformer combined with a matrix converter. The proposed solution is used to control AC voltage amplitude and phase shift. By adjustment of these voltage parameters we can reduce the effects of overvoltage, voltage dips or lamp flicker. Such negative phenomena are very significant, particularly from the perspective of the final consumer and sensitive loads connected to the power network. Often the voltage in the power system can be adjusted using a mechanical or thyristor controlled regulator, which in a stepwise manner switches the taps of the electromagnetic transformer. The method for obtaining continuous control of the voltage magnitude and phase shift with the use of a conventional transformer with two output windings and a matrix converter is presented in this paper. The operating principles, mathematical model and properties of the proposed voltage stabilizers are discussed in this paper. The main part of the article will be devoted to the mathematical model which is based on an averaged equation. Computer simulation results are presented and compared with the results of a mathematical study.
EN
This paper introduces a new technique to model a synchronous buck converter in the closed loop compensated conditions by Lagrange equation. In the design process of converters it is desirable to assess as many critical design parameters and parasitic effects by simulation as possible, since the control is hard to tune after fabrication. The main advantage of this method is its versatility and simple implementation. In this work, switch conduction loss of an integrated, synchronous buck converter is identified to have significant influence on control loop dynamics. Thus, an equivalent small-signal model for the close loop frequency response accounting for switch conduction loss is developed. Finally, the model is validated against the frequency response obtained by periodic stability analysis which can account for parasitic effects and loading. Very good agreement between the extended model and the simulation results obtained.
PL
W artykule opisano modelowania z wykorzystaniem równań Lagrange synchronicznego przekształtnika typu buck. Straty przełączania są identyfikowane jako wpływające na dynamikę. Analizowano okresową stabilność z uwzględnieniem efektów pasożytniczych.
EN
Small-signal transmittances: input-to-output and control-to-output of BUCK converter power stage working in CCM or DCM mode are discussed. Ideal converter case and converter with parasitic resistances are considered separately. Derivations of small-signal transmittances, based on different approaches to finding the converter averaged models, are presented and the results are compared. Apart from theoretical considerations, some results of numerical calculations are presented.
EN
This paper presents the averaged and switching function modelling for the active power filter (APF) with LCL-type coupling impedance. The mathematical model of the LCL-type APF is derived using switching function modelling technique, followed by the Fourier series analysis of the switching functions. The equivalent circuits are presented from the averaged and switching ripple model. The presented technique is also extended to the analysis of the modulation signal and inverter dc-link voltage. Finally, the experimental results are presented for verification.
PL
Artykuł prezentuje modelowanie uśredniającej i przełączającej funkcji aktywnego filtru z impedancja sprzęgającą typu LCL. Model matematyczny jest wyprowadzony przy modelowaniu funkcji przełączającej a następnie przez analizę Fouriera tej funkcji. Zaprezentowano schemat zastępczy. Przedstawiona technika może być rozszerzona do analizy sygnału modulowanego i przekształtnika. Na zakończenie przedstawiono wyniki eksperymentów.
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