Nauki Techniczne

Archives of Electrical Engineering


Archives of Electrical Engineering | 2016 | vol. 65 | No 3 September |


The mathematical model of the five-phase squirrel-cage induction motor and the system of the dual five-phase voltage source inverter have been presented. The control methods and control systems of the field-oriented control of the five-phase induction motor with an open-end stator winding are described. The structures of the direct fieldoriented control system (DFOC) and the Indirect Field-oriented control system (IFOC) with PI controllers in outer and inner control loops are analyzed. A method of space vector modulation used to control the system of the dual five-phase voltage source inverter has been discussed. The results of simulation studies of the field-oriented control methods are presented. Comparative analysis of the simulation results was carried out.

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Autorzy i Afiliacje

Jacek Listwan
Krzysztof Pieńkowski


The paper presents investigation results of the natural balancing phenomena in the flying-capacitor SEPIC converters. The SEPIC converters topologies can be reconfigured to the flying-capacitor topology. Owing to this modification the advantageous increase of frequency of the current in the chokes and the decrease of semiconductors voltages can be achieved which is shown in this paper. Similarly to other multilevel flying capacitor topologies the adequate voltage sharing of the flying capacitors is an important issue for safe operation of the converter. The paper focuses on the analysis of the flying capacitor voltages balancing in the converter by natural currents as well as by the application of the additional RLC balancing booster. The paper proves that the natural balancing can be achieved by the specific application of the balancing circuit in the flying-capacitor SEPIC topology and proves the specific differences in the balancing process by natural currents of converter and with the usage of the balancing circuit. An operation of the converter with the balancing circuit and the natural balancing ability is studied here.

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Autorzy i Afiliacje

Adam Kawa
Robert Stala


The pole phase modulation (PPM) technique is an effective method to extend speed range and torque capabilities for an integrated starter and hybrid electric vehicles applications. In this paper, the five pole-phase combination types of a multiphase induction motor (IM) with 36 stator slots and 36 stator conductors are presented and compared quantitatively by using the time-stepping finite element method (TS-FEM). The 36 stator conductors of the proposed multiphase IM are fed by a 36 leg inverter and the current phase angle and amplitude of each stator conductor can be controlled independently. This paper focuses on the winding connection, the PPM technique and the performance comparative analysis of each pole-phase combination types of the proposed multiphase IM. The flux distribution, air-gap flux density, output torque, core losses and efficiency of five pole-phase combination types have been investigated.

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Autorzy i Afiliacje

Huijuan Liu
Jun Wang
Zhenyang Zhang


This paper presents the modeling and simulation of a novel topology of quasi Z-Multilevel Inverter with stepped DC input. The proposed inverter incorporates a simple switching technique with reduced component count and is aimed at producing boosted multilevel output AC voltage. The inverter consists of two stages and the buck /boost operation is obtained by varying the shoot through period of the pulses obtained by maximum constant boost control with third harmonic injection. With all the advantages of the quasi Z-network, the proposed inverter eliminates the fly back diodes and capacitors present in a conventional Z-Multilevel Inverter. Further the stress on the devices is less which leads to reduction in component value and hence the cost. The novel stepped DC coupled Single Phase quasi Z-Multilevel Inverter is modeled and simulated in the MATLAB – SIMULINK environment and its performance is analyzed for varying input and switching conditions. The voltage and current waveforms across each stage of the inverter is analyzed and the results are presented for different levels of input.

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Autorzy i Afiliacje

T. Meenakshi
N. Suthanthira Vanitha


Grounding electrode resistance non-linearly changes under impulse conditions due to soil ionisation phenomenon. Several models have been proposed to model soil ionisation for grounding electrodes applications. However, to date, there is yet an attempt made to compile all these works into a comprehensive review article. Therefore, this paper is written with the objective of summarizing all related works in this field as a one– stop reference. With reference to the literature, this paper is written to summarize the working principles of the soil ionisation models as well as the accuracy and performance analysis of the models. This paper, particularly highlights the deficiencies of the available models in terms of accuracy and performance. This knowledge will contribute to the development of a new accurate and efficient soil ionisation model.

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Autorzy i Afiliacje

Mehrdad Mokhtari
Zulkurnain Abdul-Malek
Gevork B. Gharehpetian


This article presents the simulation of a BLDC motor and its closed control system in FPGA. The simulation is based on a mathematical model of the motor, including the electromagnetic torque, phase currents, back electromotive force, etc. In order to ensure calculation precision, the equations describing the motor were solved using a floating point representation of real numbers, and a small step of numerical calculations of 1 μs was assumed. The time step selection methodology has been discussed in detail. The motor model was executed with the use of Textual Programming Languages (with HDL codes).

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Autorzy i Afiliacje

Marcin Baszyński


The transformer-less grid connected inverters are gaining more popularity due to their high efficiency, very low ground leakage current and economic feasibility especially in photovoltaic systems. The major issue which surfaces these systems is that of common mode leakage current which arises due to the absence of an electrical transformer connected between the inverter and the utility grid. Several topologies have evolved to reduce the impact of common mode leakage current and a majority of them have succeeded in eliminating the impacts and have well kept them within the limits of grid standards. This paper compares and analyses the impact of the common mode leakage current for four popular inverter configurations through simulation of the topologies such as H5, H6, HERIC and FBZVR inverters.

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Autorzy i Afiliacje

D. John Sundar
M. Senthil Kumaran


Current power grid and market development, characterized by large growth of distributed energy sources in recent years, especially in Europa, are according energy storage systems an increasingly larger field of implementation. Existing storage technologies, e.g. pumped-storage power plants, have to be upgraded and extended by new but not yet commercially viable technologies (e.g. batteries or adiabatic compressed air energy storage) that meet expected demands. Optimal sizing of storage systems and technically and economically optimal operating strategies are the major challenges to the integration of such systems in the future smart grid. This paper surveys firstly the literature on the latest niche applications. Then, potential new use case and operating scenarios for energy storage systems in smart grids, which have been field tested, are presented and discussed and subsequently assessed technically and economically.

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Autorzy i Afiliacje

Przemysław Komarnicki


This research presents a new technique which includes the principle of a Bezier curve and Particle Swarm Optimization (PSO) together, in order to design the planar dipole antenna for the two different targets. This technique can improve the characteristics of the antennas by modifying copper textures on the antennas with a Bezier curve. However, the time to process an algorithm will be increased due to the expansion of the solution space in optimization process. So as to solve this problem, the suitable initial parameters need to be set. Therefore this research initialized parameters with reference antenna parameters (a reference antenna operates on 2.4 GHz for IEEE 802.11 b/g/n WLAN standards) which resulted in the proposed designs, rapidly converted into the goals. The goal of the first design is to reduce the size of the antenna. As a result, the first antenna is reduced in the substrate size from areas of 5850 mm2 to 2987 mm2(48.93% approximately) and can also operates at 2.4 GHz (2.37 GHz to 2.51 GHz). The antenna with dual band application is presented in the second design. The second antenna is operated at 2.4 GHz (2.40 GHz to 2.49 GHz) and 5 GHz (5.10 GHz to 5.45 GHz) for IEEE 802.11 a/b/g/n WLAN standards.

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Autorzy i Afiliacje

Nuttaka Homsup
Winyou Silabut
Vuttichai Kesornpatumanum
Pravit Boonek
Waroth Kuhirun


This work presents a study on dynamics of a circuit with a non-linear coil, where loss in iron is also taken into account. A coil model is derived using a state space description. The work also includes the development of an application in C# for coil dynamics examination, where the implicit RADAU IIA method of various orders is applied for the purpose of solving non-linear differential equations modelling the non-linear coil with loss in iron.

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Joanna Kolańska-Płuska
Barbara Grochowicz


The paper contains selected results of research on the Domestic Power System (DPS) as an unmanned factory. Models of the DPS system of the MISO type, obtained as a result of identification for 14 inputs and 4 outputs were presented. Particular attention was given to the identification and the assessment of the DPS development based on the systems and control theory. The obtained models of the DPS development were analyzed and discussed. The studies were obtained model of the development of the DPS, and on the basis of is knowledge of the structural and parametrical changes of system development. The model can be used to analyze the design and development of the system from the point of view of the growth of internal organization system and the transition to higher levels of control.

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Jerzy Tchórzewski


The influence of wrong information about transition and measurement models on estimation quality has been presented in the paper. Two methods of a particle filter, with and without the Population Monte Carlo modification, and also the extended and unscented Kalman filters methods have been compared. A small 5-bus power system has been used in simulations, which have been performed based on one data set, and this data set has been chosen from among 100 different – to draw the most general conclusions. Based on the obtained results it has been found that for the particle filter methods the implementation of the slightly higher standard deviation than the true value, usually increases the estimation quality. For the Kalman filters methods it has been concluded that optimal values of variances are equal to the true values.

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Piotr Kozierski
Dariusz Horla
Marcin Lis


This paper describes an algorithm for finding steady states in AC machines for the cases of their two-periodic nature. The algorithm enables to specify the steady-state solution identified directly in time domain despite of the fact that two-periodic waveforms are not repeated in any finite time interval. The basis for such an algorithm is a discrete differential operator that specifies the temporary values of the derivative of the twoperiodic function in the selected set of points on the basis of the values of that function in the same set of points. It allows to develop algebraic equations defining the steady state solution reached in a chosen point set for the nonlinear differential equations describing the AC machines when electrical and mechanical equations should be solved together. That set of those values allows determining the steady state solution at any time instant up to infinity. The algorithm described in this paper is competitive with respect to the one known in literature an approach based on the harmonic balance method operated in frequency domain.

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Tadeusz J. Sobczyk


Commonly, the Park model is used to calculate transients or steady-state operations of synchronous machines. The expanded Park theory derives the Park equations from the phase-domain model of the synchronous machine by the use of transformations. Thereby, several hypothesis are made, which are under investigation in this article in respect to the main inductances of two different types of synchronous machines. It is shown, that the derivation of the Park equations from the phase-domain model does not lead to constant inductances, as it is usually assumed for these equations. Nevertheless the Park model is the most common analytic model of synchronous machines. Therefore, in the second part of this article a method using the evolution strategy is shown to obtain the parameters of the Park model.

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Autorzy i Afiliacje

Christoph Schmuelling
Christian Kreischer
Marek Gołebiowski


In the paper, methodologies for the magnetic field simulation in an axial flux permanent magnet coreless (AFPMC) motor have been proposed and discussed. Two approaches have been considered and investigated, both based on representing the 3D field distribution by superimposing axisymmetric 2D patterns. The first of studied approaches applies directly to the Biot-Savart law while the second uses a 2D axisymmetric finite element method. The selected results of magnetic field distributions and electromagnetic torque characteristics for the considered AFPMC motor have been presented and compared with results obtained using the commercial FEM package 'Maxwell'. The elaborated algorithms have been incorporated into the design routines allowing multi-parameter optimisation of the considered motor construction.

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Rafał M. Wojciechowski


This paper presents the implementation of a thermal camera for the quantitative estimation of power losses in a high frequency planar transformer (100 kHz/ 5600 VA). The methodology is based on the observation of the transient temperature rise and determination of the power losses by means of curves representing the derivative of temperature as a function of power losses dissipated in the transformer. First, the thermal calibration characteristics had to be obtained from a simple experiment, where power losses are generated by DC current in the ferrite core and windings. Next, experimental investigations focused on the determination of the transformer power losses for a short circuit and no load, with a resistive load and with the rectifier as a load were carried out. Finally, to verify the obtained results, analytical calculations based on Dowell’s and modified Steinmetz’s equations were additionally made, which showed a good convergence. The proposed method is easy to implement and can be used as an alternative to the calorimetric method which is time-consuming and requires a complicated measurement setup.

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Autorzy i Afiliacje

Roman Barlik
Mieczysław Nowak
Piotr Grzejszczak
Mariusz Zdanowski


Professor Andrzej Demenko, Poznan University of Technology, Poland

Deputy/ Managing Editor
Mariusz Barański, Ph.D., Poznan University of Technology, Poland
Łukasz Knypiński, Ph.D., Poznan University of Technology, Poland

Editorial Advisory Board
Chairman: Marian P. Kaźmierkowski, Warsaw, Poland
Secretary: Mariusz Jagieła, Opole, Poland

Members professors:
Anouar Belahcen, Espoo, Finland

Frede Blaabjerg,Aalborg, Denmark

Ion Boldea,Timisoara, Romania

Herbert De Gersem,Darmstadt, Germany

Jacek Gieras, Rockford, USA

Kay Hameyer, Aachen, Germany

Marian K. Kazimierczuk, Dayton, USA

Stefan Kulig, Dortmund, Germany

David A. Lowther, Montreal, Canada

Jacek Marecki, Gdańsk, Poland

Zhuoxiang Ren, Paris, France

José Rodríguez Pérez, Santiago, Chile

Ryszard Sikora, Szczecin, Poland

Zbigniew Styczyński, Magdeburg, Germany

Jan Sykulski, Southampton, UK

Sławomir Wiak, Łódź, Poland


Language Editor

Krystyna Guzek

Statistical Editor

Mariusz Barański, Poznan, Poland
Poznan University of Technology

Theme Editors

Jerzy Barglik, Gliwice, Poland
Professor at Silesian University of Technology

Zbigniew Lubosny, Gdansk, Poland
Professor at Gdańnk University of Technology

Marian Łukaniszyn, Opole, Poland
Professor at Opole University of Technology

Marian Pasko, Gliwice, Poland
Professor at Silesian University of Technology

Stanisław Piróg, Krakow, Poland
Professor at AGH University of Science and Technology

Henryka Danuta Stryczewska, Lublin, Poland
Professor at Lublin University of Technology

Jan Sykulski, Southampton, UK
Professor at University of Southampton

Adam Szelag, Warsaw, Poland
Professor at Warsaw University of Technology

Romulad Włodek, Krakow, Poland
Professor at AGH University of Science and Technology

Technical Editor :

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All contributions should be addressed to the Editor-in-Chief or the Editorial Office:

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Archives of Electrical Engineering
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tel: (48-61) 665-26-36
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Instrukcje dla autorów

ARCHIVES OF ELECTRICAL ENGINEERING (AEE) (previously Archiwum Elektrotechniki), quarterly journal of the Polish Academy of Sciences is OpenAccess, publishing original scientific articles and short communiques from all branches of Electrical Power Engineering exclusively in English. The main fields of interest are related to the theory & engineering of the components of an electrical power system: switching devices, arresters, reactors, conductors, etc. together with basic questions of their insulation, ampacity, switching capability etc.; electrical machines and transformers; modelling & calculation of circuits; electrical & magnetic fields problems; electromagnetic compatibility; control problems; power electronics; electrical power engineering; nondestructive testing & nondestructive evaluation.,

Manuscript submission:

All manuscripts should be submitted electronically on Editorial System.

Submission of paper to the Archives of Electrical Engineering is understood to imply that the article is original, unpublished and is not being considered for publication elsewhere. All articles will be reviewed. Since 2013, Authors wishing to use the facility of colour printing should consult the editors.,


Microsoft Word is recommended as a standard word processor to prepare the paper to the AEE journal. If you use the LaTex format, please transfer your document to Microsoft Word and then use Template AEE.

While editing your paper, make sure that all the mathematical characters (symbols, identifiers, variables, vectors, axis marks, etc.) have the required shape, thickness, and slant kept throughout the whole article. The same appearance of a given mathematic character must be retained regardless of its place (text, equations, tables or figures).

The articles that don’t conform to the above will not be processed and published.


The reviewing process:

Each paper submitted for publication in Archives of Electrical Engineering is subjected to the following review procedure:
a) the paper is reviewed by the editor in chief or guest editor for general suitability for publication in AEE
b) if it is judged suitable two reviewers are selected and a double blind peer review process takes place
c) based on the recommendations of the reviewers, the editor then decides whether the paper should be accepted in its present form, revised or rejected
d) the author(s) is(are) informed by e-mail on the results of the reviewing procedure.
The papers are published on average within 3 months after acceptance.


Requirements for preparation of manuscripts:

The manuscripts submitted for publication should not exceed 21 000 characters (ca. 12 pages of a manuscript written on an A4 sheet in Times New Roman, 10pt font size, single line spacing and 3.8 cm margins). The manuscripts, written in UK English, should be typed using Template AEE according to the following instructions and should include: a title page with the title of a manuscript, a short title; abstract; key words, text; list of references. A DOI number as well as received and revised data will be completed by Editor. When you open Template.doc, select "Print Layout" from the "View" menu in the menu bar (View > Print Layout). Then type over sections of Template.doc or cut and paste from another document and then use markup styles (Home > Styles). For example, the style at this point in the document is "main text").

All papers submitted for publication are assessed on the basis of the mutual anonymity rule as to the names of reviewers and authors. Authors' names and affiliations should not appear in the attached text/tables/figures.

If English is not your first language, ask an English-speaking colleague to proofread your manuscript. The manuscripts that fail to meet basic standards of literacy are likely to be immediately declined or after the language assessment, sent to the authors for linguistic improvement.

The manuscripts are published on average within 3 months after their acceptance.

Do not change the font sizes or line spacing to squeeze more text into a limited number of pages. Leave some open space around your figures.

The AEE journal publishes an ORCID for all authors. You will need a registered ORCID in order to submit your paper for peer review. ORCID registration is free and only takes a minute. Please note that ORCIDs will be added in the course of the author's proofreads.



The pages must be numbered consecutively. Articles should be divided into numbered sections, and if necessary subsections, preferably: Introduction, Material, Methods, Results, Conclusion and References. Any special characters (e.g. Greek, script, etc.) should be named in the margin where the character first occurs in the text. Names of species are to be accentuated with wavy underlining (italics). Equations should be numbered serially (1), (2), ... on the right side of the page. Footnotes should be avoided, if required, they should be used only for brief notes which do not fit well into the text. Figures and tables have to be included into the text. If table is typed on a separate page its position in the text should be marked. Abbreviations should be explained when they first appear in the text.,


Please use the Microsoft Equation 3.0 editor (comes with Microsoft Office 2007 and later versions) or the MathML editor as well as MathType editor to build an equation in your manuscript.
To insert an equation in Word, choose Insert, then Object. This will bring up a dropdown menu, where the Object option should be chosen again. Pressing it opens a popup window, where the Create New option has to be clicked. Scrolling down the window allows to find Microsoft Equation 3.0.



Equations should be typed within the text, centred, and should be numbered consecutively throughout the text. Their numbers should be typed in parentheses, flush right. Equations should be referred to in text, e.g. (1), except at the beginning of a sentence: "Equation (1) is ...". All symbols appearing in equations have to be defined in the text, before or just after the equation.
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Note that the equation is centered using a center tab stop. Please keep the same font in the formulas and text.,

Unit Symbols, Abbreviations:

Define abbreviations and acronyms the first time they are used in the text, even after they have been defined in the abstract. Abbreviations such as IEEE, SI, MKS, CGS, sc, dc, and rms do not have to be defined. Do not use abbreviations in the title or heads unless they are unavoidable.
Si units are recommended for use in formulas, drawings and tables., for example the SI unit for magnetic field strength H is A/m. Apply the center dot to separate compound units.
Do not mix complete spellings and abbreviations of units: "Wb/m2" or "webers per square meter," not "webers/m2." Spell units when they appear in text: "...a few henries…", not "...a few H…".
Use a zero before decimal points: "0.25," not ".25." Use "cm3," not "cc."
Unit Symbols, SI Prefixes as well as Abbreviations should be writing in accordance with the IEEE standard,

Tables, figures (illustrations) and captions:

The illustrations (line diagrams and photographs) should be suitable for direct reproduction. The lettering as well the details should have proportional dimensions to maintain their legibility after the usual reduction. All illustrations should be numbered consecutively (Fig. X). Tables are numbered with Arabic numerals.
All figures, figure captions, and tables in the text must be inserted into the correct places.
Figures, photos, tables or other parts of a manuscript that have previously appeared in another publication or are not the property of the authors must be properly acknowledged in the manuscript. Permission to republish these items must be obtained by the corresponding author from a person or institution holding the copyright, usually the publisher.
Authors are requested to send figures (diagrams, line drawings and photographic images) in separate computer files. JPG, PNG or TIF are the recommended file formats. Photographs, colour and greyscale figures should be at least at a resolution of 400dpi. Linear, including tables should be at a minimum of 600dpi.
All colour figures should be generated in the RGB or CMYK colour space, while greyscale images in the greyscale colour space.
When preparing your figures/graphics etc., we suggest the use of the Arial 8 point font for axis numbers and Arial 9 point font for axis names. Figures/graphics etc. can be prepared in one of two proposed ways - see Template AEE.
Tables are numbered with Arabic numerals. Use 9 point Times New Roman for the title of the table and 9 point Times New Roman for the filling of the table (9 in the case of symbols with subscripts).
AEE journal allows an author to publish color figures in e-version at no charge, and automatically convert them to grayscale for print versions. Authors wishing to use the facility of color printing should consult the editors.,


A conclusion might elaborate on the importance of the work or suggest applications and extensions. Although a conclusion may review the main points of the manuscript, do not replicate the abstract as the conclusion.,


References in text must be numbered consecutively by Arabic numerals placed in square brackets. Please make sure that you use full names of journals i.e. Archives of Electrical Engineering. Please ensure that all references in the Reference list are cited in the text and vice versa.
Please provide name(s) and initials of author(s), the title of the manuscript, editors (if any), the title of the journal or book, a volume number, the page range, and finally the year of publication in brackets.
You can use the rules presented on the site: IEEE standard b>

Examples of the ways in which references should be cited are given below:

Journal manuscript
[1] Author1 A., Author2 A., Title of paper, Title of periodical, vol. x, no. x, pp. xxx-xxx (YEAR).
[1] Steentjes S., von Pfingsten G., Hombitzer M., Hameyer K., Iron-loss model with consideration of minor loops applied to FE-simulations of electrical machines, IEEE Transactions on Magnetics. vol. 49, no. 7, pp. 3945-3948 (2013).
[2] Idziak P., Computer Investigation of Diagnostic Signals in Dynamic Torque of Damaged Induction Motor, Electrical Review (in Polish), to be published.
[3] Cardwell W., Finite element analysis of transient electromagnetic-thermal phenomena in a squirrel cage motor, submitted for publication in IEEE Transactions on Magnetics.

Conference manuscript
[4] Author A., Title of conference paper, Unabbreviated Name of Conf., City of Conf., Country of Conf., pp. xxx-xxx (YEAR).
[4] Popescu M., Staton D.A., Thermal aspects in power traction motors with permanent magnets, Proceedings of XXIII Symposium Electromagnetic Phenomena in Nonlinear Circuits, Pilsen, Czech Republic, pp. 35-36 (2016).

Book, book chapter and manual
[5] Author1 A., Author2 A.B., Title of book, Name of the publisher (YEAR).
[5] Zienkiewicz O., Taylor R.L., Finite Element method, McGraw-Hill Book Company (2000).

[6] Author1 A., Author2 A., Title of patent, European Patent, EP xxx xxx (YEAR).
[6] Piech Z., Szelag W., Elevator brake with magneto-rheological fluid, European Patent, EP 2 197 774 B1 (2011).

[7] Author A., Title of thesis, PhD Thesis, Department, University, City of Univ. (YEAR).
[7] Driesen J., Coupled electromagnetic-thermal problems in electrical energy transducers, PhD Thesis, Faculty of Applied Science, K.U. Leuven, Leuven (2000).

For on electronic forms
[8] Author A., Title of article, in [Title of Conference, record as it appears on the copyright page], © [applicable copyright holder of the Conference Record] (copyright year), doi: [DOI number].
[8] Kubo M., Yamamoto Y., Kondo T., Rajashekara K., Zhu B., Zero-sequence current suppression for open-end winding induction motor drive with resonant controller,in IEEE Applied Power Electronics Conference and Exposition (APEC), © APEC (2016), doi: 10.1109/APEC.2016.7468259

[9], accessed April 2010.



Authors will receive proofs for correction, which should be returned promptly. All joint contributions must indicate the name and address of the authors to whom proofs should be sent.,

Fees for printing the papers in Archives of Electrical Engineering:

AEE is published in Open Access, which means that all articles are available on the internet to all users immediately upon publication free of charge for the readers. Authors will be asked to a declaration that they are ready to cover the costs of printing their article.
The fee for the publication of an article in the AEE journal is 200 Euro.


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Archives of Electrical Engineering jest czasopismem wydawanym w wolnym dostępie na licencji CC BY-NC-ND 4.0.

Archives of Electrical Engineering is an open access journal with all content available with no charge in full text version. The journal content is available under the licencse CC BY-NC-ND 4.0.

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