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Mathematics
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Mathematical Analysis on Automated Electric Systems
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Mathematical Analysis on Automated Electric Systems

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: closed (15 July 2023) | Viewed by 3187

Special Issue Editors

Dr. Stepan Dmitriev

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Guest Editor
Department of Automated Electric Systems, Ural Federal University, 19 Mira street, Yekaterinburg, 620002 Sverdlovsk Oblast, Russia
Interests: Electrical part of stations and substations; Electrical equipment of stations and substations; Operation of electrical equipment
Prof. Dr. Alexander S. Tavlintsev

E-Mail Website
Guest Editor
Department of Automated Electric Systems, Ural Federal University, 19 Mira street, Yekaterinburg, 620002 Sverdlovsk Oblast, Russia
Interests: Power engineering
Prof. Dr. Sergey I. Semenenko

E-Mail Website
Guest Editor
Department of Automated Electric Systems, Ural Federal University, 19 Mira street, Yekaterinburg, 620002 Sverdlovsk Oblast, Russia
Interests: Power systems state estimation; Power systems modelling and simulations

Special Issue Information

Dear Colleagues,

This Special Issue is devoted to the consideration and discussion of problems in the field of mathematical tools development and implementation to suit the needs of electrical grid monitoring and control system automation. Such systems are developed for the purpose of optimizing the mode and improving the efficiency of electrical grids’ operations. The design of a new generation of grids requires the improvement of control and monitoring systems and the automation of power production, transmission and distribution; in other words, the complete digitalization of power grids is required. The purpose of this Special Issue is a scientific and technical exchange in the field of mini and micro grid control and monitoring; in particular, PMU-based control, power consumption control, power equipment asset management, PMU-based power equipment monitoring and diagnostics, adaptive relay protection, and automation system design and implementation.

Dr. Stepan Dmitriev
Prof. Dr. Alexander S. Tavlintsev
Prof. Dr. Sergey I. Semenenko
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Published Papers (2 papers)

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Research

25 pages, 1856 KiB  
Article
Automated Settings of Overcurrent Relays Considering Transformer Phase Shift and Distributed Generators Using Gorilla Troops Optimizer
by Abdelmonem Draz, Mahmoud M. Elkholy and Attia A. El-Fergany
Mathematics 2023, 11(3), 774; https://0-doi-org.brum.beds.ac.uk/10.3390/math11030774 - 03 Feb 2023
Cited by 6 | Viewed by 1409
Abstract
The relative protective devices are cascaded in a proper sequence with a proper min/max coordination time margin (CTM) to minimize the outage area of the network in case of fault condition. This manuscript addresses a new methodology based on the gorilla troops optimizer [...] Read more.
The relative protective devices are cascaded in a proper sequence with a proper min/max coordination time margin (CTM) to minimize the outage area of the network in case of fault condition. This manuscript addresses a new methodology based on the gorilla troops optimizer (GTO) to produce the best automated settings for overcurrent relays. In the GTO, the exploration and exploitation phases are realized using five methodologies. Three of them are used in the exploration phase and the other two in the exploitation phase. In the exploration phase, all gorillas are considered as candidate solutions and the best one is considered as the silverback gorilla. Then again, the exploitation phase comprises two steps: (i) the first one is the follow of silverback gorilla, and (ii) the second one is the competition for adult females. The latter mentioned offers an added advantage to the GTO framework to move forward steadily to global minima and to avoid trapping into local minima. Two test cases under numerous scenarios are demonstrated comprising an isolated real distribution network with distributed generations for the Agiba Petroleum company which is in the Western Desert of Egypt. The relay coordination problem is adapted as an optimization problem subject to a set of predefined constraints which is solved using the GTO including fixed and varied inverse IEC curves, in which the practical constraints including transformer phase shift and other scenarios for min/max fault conditions are dealt with. In due course, this current effort aims at proving the best strategy for achieving the smoothest coordination of overcurrent relays (OCRs), with the least obtained value of CTMs for the studied cases being established via the automated relay settings. At last, it can be pointed out that the GTO successfully dealt with this problem and was able to produce competitive answers compared to other competitors. Full article
(This article belongs to the Special Issue Mathematical Analysis on Automated Electric Systems)
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18 pages, 4115 KiB  
Article
Application of the Conditional Optimization Method for the Synthesis of the Law of Emergency Control of a Synchronous Generator Steam Turbine Operating in a Complex-Closed Configuration Power System
by Mihail Senyuk, Murodbek Safaraliev, Aminjon Gulakhmadov and Javod Ahyoev
Mathematics 2022, 10(21), 3979; https://0-doi-org.brum.beds.ac.uk/10.3390/math10213979 - 26 Oct 2022
Cited by 10 | Viewed by 1171
Abstract
Stochastic renewable sources of energy have been causing changes in the structure and operation of power systems. High penetration of this type of generation results in decreased inertia of a power system, increased active power fluctuations, and a higher probability of false tripping [...] Read more.
Stochastic renewable sources of energy have been causing changes in the structure and operation of power systems. High penetration of this type of generation results in decreased inertia of a power system, increased active power fluctuations, and a higher probability of false tripping of emergency control devices. Traditional algorithms of emergency control are not adaptable and flexible enough for systems with high penetration of renewables and flexible alternating current transmission systems. Integration and development of phasor measurement units make it possible to create adaptable emergency control systems, which would require minimal pre-defined data. The purpose of this study is to develop an adaptable algorithm of turbine fast valving control synthesis and transient stability estimation for a generator. The suggested algorithm is based on the equal area criterion in the domain synchronous generator Torque—Load angle. The measurements of the generator operation under consideration are used as the input data for the steam turbine fast valving control synthesis. Thus, the algorithm becomes adaptable because no pre-defined parameters of a power system model are required. Full article
(This article belongs to the Special Issue Mathematical Analysis on Automated Electric Systems)
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