Applied sciences

Archives of Electrical Engineering


Archives of Electrical Engineering | 2018 | vol. 67 | No 4 |


With the increasing penetration rate of grid-connected renewable energy generation, the problem of grid voltage excursion becomes an important issue that needs to be solved urgently. As a new type of voltage regulation control method, electric spring (ES) can alleviate the fluctuations of renewable energy output effectively. In this paper, the background and basic principle of the electric spring are introduced firstly. Then, considering the influence of an electric spring on noncritical load voltage, noncritical loads are classified reasonably, and based on the electric spring phasor diagram, the control method to meet the noncritical load voltage constraint is proposed. This control method can meet the requirements of voltage excursions of different kinds of noncritical load, increase the connection capacity of the noncritical load and improve the voltage stabilization capacity of the electric spring. Finally, through the simulation case, the feasibility and validity of electric spring theory and the proposed control method are verified.

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In order to develop a PM BLDC motor control system, which will be tolerant of selected faults, simulation work was first performed and then verified on a universal test stand. The results were published in earlier works. The next stage of works was the implementation of previously developed algorithms on the target research test stand – in this case, the prototype vehicle. This last stage of the laboratory work has been presented in this article, i.e. it has been presented the results of experimental research related to the reproduction of rotor angle position, used after the detection of a rotor position sensor fault. A new test stand with the laboratory prototype of a vehicle with two PM BLDC motors is presented. A zeroth-order algorithm (ZOA) was used as a fault compensation method. The effectiveness and usefulness of the previously proposed methods have been confirmed.

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The BeiDou navigation satellite system (BDS) is one of the four global navigation satellite systems. More attention has been paid to the positioning algorithm of the BDS. Based on the study on the Kalman filter (KF) algorithm, this paper proposed a novel algorithm for the BDS, named as the minimum dispersion coefficient criteria Kalman filter (MDCCKF) positioning algorithm. The MDCCKF algorithm adopts minimum dispersion coefficient criteria (MDCC) to remove the influence of noise with an alpha-stable distribution (ASD) model which can describe non-Gaussian noise effectively, especially for the pulse noise in positioning. By minimizing the dispersion coefficient of the positioning error, the MDCCKF assures positioning accuracy under both Gaussian and non-Gaussian environment. Compared with the original KF algorithm, it is shown that the MDCCKF algorithm has higher positioning accuracy and robustness. The MDCCKF algorithm provides insightful results for potential future research.

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This paper proposes a self-excited induction generator model with saturation effect for power generating mode in a remote site. The model is led through the space vector mathematical formalism and allows one to analyze the steady and dynamic states. It is developed for a squirrel cage induction machine. This model provides magnetizing inductance variation able to influence the build-up and the stabilization of voltage generation when the load changes. The final result is a realistic approach model which takes into con- sideration the dependency of the magnetizing inductance versus magnetizing current. This novel model is validated through experimental measurements to demonstrate its validity and practicability.

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The matrix converter is a new generation of power electronic converters and is an alternative to back-to-back converters in applications that dimensions and weight are important. In this paper, a simple control algorithm for a three-phase asynchronous motor based on a direct torque control technique, which is fed through a three-phase direct matrix converter, is presented. For direct matrix converters, 27 switching modes are possible, which using the predictive control technique and for the different modes of the matrix converter, the motor behavior is estimated at the next sampling interval. Then the objective function is determined and the optimal possible mode is selected. Finally, the best switching mode is applied to the direct matrix converter. In order to evaluate the proposed method, simulation of the system in Matlab/Simulink software environment is performed. The results show the effectiveness of the proposed method.

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An analysis of a given electrical circuit using a fractional derivative. The statespace equation was developed. The dynamics of tensions described by Kirchhoff’s laws equations. The paper used the definition of the integral derivative Caputo and CDF conformable fractional definition. An electrical circuit solution using Caputo and CDF defini- tions for rectangular with zero initial conditions was developed. The results obtained using the Caputo and CDF definitions were compared. The solutions are shown for capacitor voltages, for fractional derivative orders of 0.6, 0.8, 1. The results were compared using graphs.

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Safety and operation efficiency of the particle accelerators strongly depend on the quality of the supplied electric current and is affected by the electric properties of all elements of the circuit. In this paper the capacitance of the superconducting bus-bars applied in the cryogenic by-pass line for the SIS100 particle accelerator at FAIR is analysed. The unit capacitance of the bus-bars is calculated numerically and found experimentally. A 2D numerical model of a cross-section of the cable is applied. The capacitance is found with three methods. The stored energy, electric displacement field and charge gathered on the surfaces of the device are calculated and analysed. The obtained values are consistent. Experimental measurements are performed using the resonance method. The measuring system is undamped using a negative conductance converter. Small discrepancies are ob- served between numerical and experimental results. The obtained values are within the requirements of the accelerator design.

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Solar energy is widely available in nature and electricity can be easily extracted using solar PV cells. A fuel cell being reliable and environment friendly becomes a good choice for the backup so as to compensate for continuously varying solar irradiation. This paper presents simple control schemes for power management of the DC microgrid consisting of PV modules and fuel cell as energy sources and a hydrogen electrolyzer system for storing the excess power generated. The supercapacitor bank is used as a short term energy storage device for providing the energy buffer whenever sudden fluctuations occur in the input power and the load demand. A new power control strategy is developed for a hydrogen storage system. The performance of the system is assessed with and without the supercapacitor bank and the results are compared. A comparative study of the voltage regulation of the microgrid is presented with the controller of the supercapacitor bank, realized using a traditional PI controller and an intelligent fuzzy logic controller.

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The paper presents optimization of power line geometrical parameters aimed to reduce the intensity of the electric field and magnetic field intensity under an overhead power line with the use of a genetic algorithm (AG) and particle swarm optimization (PSO). The variation of charge distribution along the conductors as well as the sag of the overhead line and induced currents in earth wires were taken into account. The conductor sag was approximated by a chain curve. The charge simulation method (CSM) and the method of images were used in the simulations of an electric field, while a magnetic field were calculated using the Biot–Savart law. Sample calculations in a three-dimensional system were made for a 220 kV single – circuit power line. A comparison of the used optimization algorithms was made.

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Comparison of the electromagnetic performance of a flux-switching permanent magnet (PM) machine having two separate stators as well as different winding topologies is investigated in this paper. Different stator and rotor pole combinations of these machines are also considered. The analysis includes the open-circuit and on-load characteristics of the analyzed machines. It is observed that, the largest fundamental values of electromagnetic torque, for each winding topology, is seen in the 11-rotor-pole and 10-rotor-pole machines having alternate- and all-pole-wound configurations, respectively. Moreover, significant ripple is observed in the waveforms of the even-number rotor pole machines compared to their corresponding odd-number rotor pole counterparts. Overall, the alternate-pole-wound machines essentially have larger torque-density than their equivalent all-pole-wound ones. The investigated machine is also tested for validation.

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The paper discusses in detail the construction of the Core Less Axial Flux Permanent Magnet generator simulation model. The model has been prepared in such a way that full compatibility with the elements of the SimPowerSystem library of the Matlab/Simulink package is preserved, which allows easy use of the presented simulation model for testing the work of the generator as part of a larger system. The parameters used in the model come from the MES 3D calculations performed in the Ansys/Maxwell software, for a machine prototype with a rated power of 2.8 kW, which was then used to experimentally verify the correct operation of the presented model of machine.

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In renewable systems, there may be conditions that can be either network error or power transmission line and environmental conditions such as when the wind speed is unbalanced and the wind turbine is connected to the grid. In this case, the control system is not damaged and will remain stable in the power transmission system. Voltage stability studies on an independent wind turbine at fault time and after fixing the error is one of the topics that can strengthen the future of independent collections. At the time of the fault, the network current increases dramatically, resulting in a higher voltage drop. Hence the talk of fast voltage recovery during error and after fixing the error and protection of rotor and grid side converters against the fault current and also protection against rising DC voltage (which sharply increases during error) is highly regarded. So, several improvements have been made to the construction of a doubly-fed induction generator (DFIG) turbine such as:

a) error detection system,

b) DC link protection,

c) crow bar circuit,

d) block of the rotor and stator side converters,

e) injecting reactive power during error,

f) nonlinear control design for turbine blades,

g) tuning and harmonization of controllers used to keep up the power quality and to stabilize the system output voltage in the power grid.

First, the dynamic models of a wind turbine, gearbox, and DFIG are presented. Then the controllers are modeled. The results of the simulation have been validated in MATLAB/Simulink.

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In a PV-dominant DC microgrid, the traditional energy distribution method based on the droop control method has problems such as output voltage drop, insufficient power distribution accuracy, etc. Meanwhile, different battery energy storage units usually have different parameters when the system is running. Therefore, this paper proposes an improved control method that introduces a reference current correction factor, and a weighted calculation method for load power distribution based on the parameters of battery energy storage units is proposed to achieve weighted allocation of load power. In addition, considering the variation of bus voltage at the time of load mutation, voltage secondary control is added to realize dynamic adjustment of DC bus voltage fluctuation. The proposed method can achieve balance and stable operation of energy storage units. The simulation results verified the effectiveness and stability of the proposed control strategy.

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The uncontrolled rectifier and controlled rectifier which use fixed switching frequency control strategy are applied usually during the working of a high-power high- speed permanent magnet generator (HSPMG). Even for the controlled rectifier, it will generate harmonics. The electromagnetic performance of the HSPMG is also affected by these harmonics. In this paper, the influences of the fixed switching frequency control strategy on a HSPMG were studied. Based on the Fourier theory, the harmonic currents of the generator were analyzed, and the change of harmonic distribution range and current total harmonic distortion (THD) were obtained. By using an indirect field-circuit coupling method, the influences of the fixed switching frequency control strategy on the losses and torque of the generator were analyzed. The relations between the switching frequency and the losses and torque of the generator were obtained, and the change mechanism of the loss was revealed. The obtained conclusions can provide reference for the optimized choice of the switching frequency of the distributed generation system with the HSPMG. It can also provide support for the HSPMG electromagnetic structural optimization and the optimization of the loss and harmonic on the system level.

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Induction surface hardening means the hardening of a thin zone of the material only, while its core remains soft. The paper deals with the modelling of the Consecutive Dual Frequency Induction Hardening (CDFIH) of gear wheels and its validation. For gear wheels with modulus m smaller than 6 mm a contour profile of hardness distribution could be obtained. The investigated gear wheel is heated first by a medium frequency inductor to the temperature approximately equal to the modified lower temperature Ac1m. It means beginning of the austenite transformation. Then the gear wheel is heated by the high frequency inductor to the hardening temperature making it possible to complete the austenite transformation and immediately cooled. In order to design the process it is necessary to identify modified critical temperatures and to obtain expected temperature distribution within the whole tooth.

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The paper recapitulates recently conducted investigations of non-proportional Luenberger observers, applied to reconstruction of state variables of induction motors. Three structures of non-proportional observers are analyzed, a proportional-integral observer, modified integral observer and observer with integrators. Criteria for gain selection of the observer are described, classical ones based on poles, as well as additional, increasing observer’s robustness. Fulfilment of the presented criteria can be ensured with the three proposed methods for gain selection, two analytical, based on dyadic transformation and one based on optimization.

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An analysis of the influence of inverter PWM speed control methods on the operation of a brushless DC (BLDC) motor was carried out. Field-circuit models of the BLDC motor were developed taking into account rotational speed control by two classic methods: the unipolar H_ON_L_PWM and the bipolar H_PWM_L_PWM. Waveforms of the electrical and mechanical quantities and the motor parameters were computed. The results of the computations were verified by measurements performed on a specially designed test stand. On the basis of the measuredwaveforms of the electrical and mechanical quantities the dependence of the drive system efficiencies and power losses on rotational speed was determined for the two methods of inverter control.

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Editorial office

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: Grzegorz Benysek, Zielona Gora, Poland

Members professors:
Antero Arkkio, Helsinki, Finland

Frede Blaabjerg,Aalborg, Denmark

Ion Boldea,Timisoara, Romania

Stanisław Bolkowski, Białystok, Poland

Herbert De Gersem,Darmstadt, Germany

Jacek Gieras, Rockford, USA

Kay Hameyer, Aachen, Germany

Mieczysław Hering,Warszawa, Poland

Marian K. Kazimierczuk, Dayton, USA

Stefan Kulig, Dortmund, Germany

David A. Lowther, Montreal, Canada

Jacek Marecki, Gdańsk, Poland

José Rodríguez Pérez,Valparaíso, Chile

Ryszard Sikora, Szczecin, Poland

Zbigniew Styczyński, Magdeburg, Germany

Jan Sykulski, Southampton, UK


Technical Editor

Ewa Rozmiarek, Scientific Publishers OWN, Institute of Bioorganic Chemistry Polish Academy of Sciences, Poland

Language Editor

Krystyna Guzek

Statistical Editor

Mariusz Barański, Poznan, Poland
Poznan University of Technology

Theme Editors

Mieczysław Hering, Warszawa, Poland
Professor at Warsaw 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


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

Address of the Editorial Office:

Archives of Electrical Engineering
Piotrowo 3A (Room 612X)
60-965 Poznan, Poland
tel: (48-61) 665-26-36
fax: (48-61) 665-23-81


Instructions for authors

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.,

Journal Metrics:

Scoring assigned by the Polish Ministry of Science and Higher Education: 15 points

CiteScore metrics from Scopus, CiteScore 2017: 0.86

SCImago Journal Rank (SJR) 2017: 0.233

Source Normalized Impact per Paper (SNIP) 2017: 0.661

ICI Journal Master List 2016, Index Copernicus Value: 121.43 ,

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.
Please use Template AEE to prepare your paper. Template can be download from journal page -,

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 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) to build an equation in your paper.
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.
Please note that the MathML editor as well as MathType editor is not recommended for typing equations.


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.
If the symbols are written in Times New Roman use italic fonts. Symbols of vectors and matrices should be written in bold fonts. Do not italicize Greek fonts and mathematical symbols like e.g.: the derivative symbol d, max, min, etc. The indices of symbols that are indices themselves should be written in a clear manner.
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

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], [copyright year] © [applicable copyright holder of the Conference Record]. 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 AEE:

AEE is published in Open Access, which means that all our articles on the Internet are available for readers free of charge, however it is requested that the authors pay an article-processing charge (reviewing, editing, proofreading, checking for plagiarism, distribution and so on) in order for their articles to be published and made freely available online immediately on publication.
The fee for the publication of an article in the AEE journal is 210 Euro.,

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