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EN
The detection of transformer winding deformation caused by short-circuit current is of great significance to the realization of condition based maintenance. Considering the influence of environment and measurement errors, an online deformation detection method is proposed based on the analysis of leakage inductance changes. First, the operation expressions are derived on the basis of the equivalent circuit and the leakage inductance parameters are identified by the partial least squares regression algorithm. Second, the amount of the leakage inductance samples in a detection time window is determined using the Monte Carlo simulation thought, and then the samples in the confidence interval are obtained. Last, a criteria is built by the mean value changes of the leakage inductance samples and the winding deformation is detected. The online detection method considers the random fluctuation characteristics of the leakage inductance samples, adjust the threshold value automatically, and can quantify the change range to assess the severity. Based on the field data, the distribution of the leakage inductance samples is analyzed to obey the normal function approximately. Three deformation experiments are done by different sub-winding connections and the detection results verify the effectiveness of the proposed method.
EN
The new topology of three-winding welding transformer is proposed. Each secondary winding is connected in parallel through the separate bridge rectifier to the welding arc. The main feature of the proposed device is parallel working of two secondary windings with different rated voltage. The advantage is nonlinear transformation ratio of current that provides unprecedented power efficiency. The self- and mutual leakage inductances, which are important in power conversion, are calculated by 2D FEA model. The operational current of the device is modelled numerically via P-Spice simulator. The proposed topology is up to 30% more power effective than conventional welding transformer provided that the leakage inductances of primary and secondary windings are correctly fitted. This transformer is used for manual arc welding.
5
Content available A Transformer Class E Amplifier
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EN
In a high-efficiency Class E ZVS resonant amplifier a matching and isolation transformer can replace some or even all inductive components of the amplifier thus simplifying the circuit and reducing its cost. In the paper a theoretical analysis, a design example and its experimental verification for a transformer Class E amplifier are presented. In the experimental amplifier with a transformer as the only inductive component in the circuit high efficiency ηMAX = 0.95 was achieved for supply voltage VI = 36 V, maximum output power POMAX = 100 W and the switching frequency f = 300 kHz. Measured parameters and waveforms showed a good agreement with theoretical predictions. Moreover, the relative bandwidth of the switching frequency was only 19% to obtain output power control from 4.8 W to POMAX with efficiency not less than 0.9 in the regulation range.
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Content available remote Field-circuit modelling of the resistance spot welding transformers
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EN
Transformers of high frequency resistance spot welding systems are considered. The equivalent circuit of a three-winding transformer, which is obtained by replacing it with two two-winding transformers, is used. It is shown that the magnetic coupling factor for the leakage fluxes of these two-winding transformers influences on the output current. The study of the transformers includes both 2D eddy-current FEA analysis for estimation the leakage impedance and the circuit simulation, which gives the output current. The results are used to design economical welding transformers. The calculation results are confirmed experimentally.
PL
Zaprojektowano transformator do wsokoczestotliwościowego punktowego zgrzewania. Przeprowadzono analizę rozkładu prądów wiroychw celu uwzględnienia impedancji upływowej oraz zaproponowano schemat zastępczy transformatora trzy-uzwojeniowego otrzymanego przez zastąpienie dwóch transformatorów dwu-uzwojeniowych.
EN
This paper presents the method for determination of leakage inductances of single-phase and multi-winding transformer. The matrix of leakage inductances takes into account leakage self and also leakage mutual magnetic couplings. It is assumed that there is a flux common to all windings and several leakage fluxes referred to a particular winding. The flux linkages of each coil needed for calculation of leakage inductances was computed by FEM commercial software Opera 3D. The values of leakage inductances matrix have been calculated for special reduced scale traction, 19.3 kVA transformer. This is core type construction transformer with eight windings.
PL
W referacie przedstawiono sposób wyznaczania indukcyjności rozproszenia cewek elementarnych transformatora jednofazowego na podstawie obliczeń elektromagnetycznych. Wyznaczono indukcyjności rozproszenia własne i wzajemne. Pojęcie indukcyjności własnej ujmuje strumień rozproszenia sprzęgający się z cewkę wzbudzany przez prąd tej cewki. Pojęcie indukcyjności wzajemnej obejmuje strumień rozproszenia sprzęgający się z cewkę wzbudzany przez prądy innych cewek. Wartości indukcyjności rozproszeń są ważnym parametrem obwodowym transformatora mającym istotny wpływ na stany przejściowe i ustalone. Obliczenia wykonano w odniesieniu do transformatora o mocy 19,3 kVA o konstrukcji rdzeniowej, który zawiera osiem uzwojeń. Rozkład pola magnetycznego wyznaczono na drodze symulacji polowej przy wykorzystaniu programu Opera 3D. Indukcyjności wyznaczono na podstawie analiz strumieni sprzężonych z cewkami w funkcji prądów w poszczególnych cewkach.
PL
Przedmiotem badań był 18-to pulsowy przekształtnik z autotransformatorem różnicowo-widełkowym o pięciu uzwojeniach na każdej kolumnie i mocy wyjściowej 50kW. Obliczenia macierzy indukcyjności rozproszenia uzwojeń wykonano dla 120 (5!) możliwych kombinacji ich ułożenia w oknie autotransformatora z wykorzystaniem programu Ansys. Z przebiegów dynamicznych, obliczonych z uwzględnieniem zjawiska nasycenia obwodu magnetycznego, zjawiska histerezy magnetycznej oraz strat wiroprądowych, uzyskano wartości THD prądów sieci przekształtnika z zakresu 4-8%.
EN
This article reports the results of a study of 18-Pulse AC/DC converter with differential fork autotransformator with 5 windings on each column and 50kW of effective power. The authors use Ansys application to perform the calculations of a leakage inductance matrix for 120 (5!) possible combinations of windings placement in autotransformer window. Next, THD values of corwerter phase currents of 4-8% range were obtained from dynamic transient calculations with the consideration of magnetic saturation, magnetic hysteresis and eddy current losses.
EN
The aim of this paper is presentation and comparison of calculation methods of the inductance matrix of a 3-column multi-winding autotransformer. Main and leakage autotransformer inductance was obtained using finite elements method. Static calculations were made at the current supply for 2D and 3D models, and mono-harmonic calculations were made at the voltage supply. In the mono-harmonic calculations the eddy current losses were taken into account, this made it possible to study relationship between the autotransformer parameters and the frequency. Calculations were made using Ansys and the authors' own programs in Matlab.
EN
The 15-winding and 3-column autotransformer supplying an 18-pulse rectifier circuit was developed. Presented methods can be used also for the autotransformers of other topologies supplying different kinds of converters. Presented methods make it possible to exactly calculate main and leakage inductances of the multi-winding autotransformer. The presented analysis of the eigenvalues and eigenvectors of the inductance matrix makes it possible to identify the influence nature of individual modes on the inductance matrix, and to compare the calculation results obtained using the presented methods. Frequency dependence of autotransformer parameters was shown. Also modes of the impedance matrix of the multi-winding autotransformer was investigated, this made it possible to identify the influence nature of individual modes on the inductance matrix. Using presented methods one can exactly calculate main and leakage inductances of the autotransformer. Thanks to this, one can design in optimal way autotransformers for supplying, for example, rectifier circuits, THD coefficients. The results of the measurements and simulations were also shortly presented at the end of the article.
12
63%
EN
The development momentum of the power industry is pushed by the increasing demands and continuous progress in all sections of the economy. The improvement of the voltage grade of transmission lines is imminent, and the capacity of a single transformer continuously increases, thereby resulting in the serious problem of magnetic leakage, which that can aggravate the stray loss of transformers and the degree of winding deformation. The simulation model of leakage inductance under the different fault states of transformer winding was proposed on the basis of finite element method to reduce the threat to the safe and stable operation of power grids caused by the winding insulation damage from magnetic leakage. ANSOFT software was used to establish the physical model of 800 kVA and 10 kV true distribution transformers, and the leakage inductance values of transformer winding with a three-phase grounding short circuit, a turn-to-turn fault, and an inter-turn fault were analyzed. Finally, the accuracy of the model was verified through the finite element simulation. Results indicate that the leakage inductance of transformer increases by 30% in a three-phase short circuit, the leakage inductance is negatively correlated with the number of fault turns in a turn-to-turn fault, and the leakage inductance has a nonlinear positive correlation with the number of fault turns in an inter-turn fault. The proposed method provides references for the detection and evaluation of transformer operation fault.
PL
W artykule przedstawiono estymację Kalmana rezystancji [R] oraz macierzy indukcyjności rozproszenia [L] uzwojeń autotransformatora trójkolumnowego. Na każdej kolumnie autotransformatora jest 5 uzwojeń zasilających układ diodowy, tworzących prostownik 18-pulsowy typu "clean power". Do estymacji Kalmana wykorzystuje się pomiary prądów uzwojeń autotransformatora podczas jego pracy w układzie prostowniczym. Przeprowadzono porównanie dwóch metod pracy filtru Kalmana.
EN
Kalman estimation of resistance [R] and windings leakage inductance matrix [L] of three columns autotransformer was presented in this article. On every column there was 5 windings making clean power 18-pulse rectifier layout and feeding diode circut. For Kalman estimation measurements of autotransformer windings currents was used during its work in rectifier layout. (Kalman estimation of [R] and [Lrozpr] parameters of three columns 15 windings autotransformer in clean power 18-pulse rectifier layout).
14
63%
PL
W pracy przedstawiono trzy sposoby wyznaczania indukcyjności rozproszeń uzwojeń autotransformatora metodą elementów skończonych. Do obliczeń wykorzystano model autotransformatora 3D oraz dwa modele 2D. W pracy wyodrębniono różnice występujące pomiędzy macierzami indukcyjności rozproszeń uzyskanymi opisywanymi metodami, oraz przeanalizowano ich wpływ na obliczenia symulacyjne wielopulsowych przekształtników energoelektronicznych.
EN
This article presents three procedures of calculating an autotransformer's leakage inductance matrix with the use of the finite element method. The calculations were performed in ANSYS application. The differences between the autotransformer's leakage inductance matrices obtained with the described methods were isolated, also the analysis of their influence on multi-pulse electronic power converter calculations were made.
15
Content available remote Different approaches to inductance calculation of E-I gapped iron core inductor
63%
EN
In the paper inductance calculation by using different methods is presented. The object of study is an E-l gapped iron core inductor. The calculation is started with classical analytical approach and by using magnetic circuit theory (MCT); later on it is continued with another three numerical approaches, done via Finite Element Method (FEM). The results of calculations are compared with the measured values of inductance. The evaluation of different methodologies is presented.
PL
Przedstawiono różne metody obliczania indukcyjności. Przedmiotem badań jest szczelinowy dławik El z rdzeniem. Pokazano klasyczne podejście analityczne i za pomocą sieci reluktancyjnych, a także trzy podejścia numeryczne, wykorzystujące metodę elementów skończonych. Wyniki obliczeń porównano z wynikami pomiarów.
16
38%
EN
The paper deals with calculation of parameters of a permanent magnet synchronous motor. In addition, steady-state characteristics are calculated, too. For this purpose, Finite Element Method is applied. The results of numerical calculations are presented in figures and by diagrams. An evaluation on the influence of the parameters on the behaviour of a permanent magnet synchronous motor (PMSM) is presented. When possible, calculated parameters are compared with testing results. Experimentally and numerically obtained values are showing an excellent agreement.
PL
W artykule przedstawiono obliczenia parametrów silnika synchronicznego z magnesami trwałymi. Wyznaczono charakterystyki stanu ustalonego metodą elementów skończonych MES. Wyniki obliczeń numerycznych przedstawiają rysunki i diagramy. Oszacowanie wpływu tych parametrów na zachowanie się silnika zostało porównane z wynikami eksperymentów - osiągnięta została doskonała zgodność.
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