This article describes a set of algorithms for so-called balancing of numerical matrices, which were developed by the author. Each section consists of several algorithms that are divided into different levels. The order of these levels depended on the chronology of the creation of certain algorithms. Chronology also affected the complexity of these balancing algorithms, so it can be argued that the algorithms are described in order from the simplest level to the most complex. It is important to emphasize that the purpose of the article is to describe the actions on matrices that determine the balancing algorithm of a certain level, and practical application will be the next step.
PL
Artykuł przedstawia autorskie algorytmy bilansowania macierzy. Każdy rozdział składa się z kilku algorytmów, które są rozdzielone na różne poziomy. Te poziomy są uporządkowane w zależności od chronologii ich stworzenia. Podobnie chronologia ma wpływ na złożoność algorytmów zbilansowania, w związku z tym można stwierdzać, że algorytmy są uszeregowana według stopnia złożoności. Niniejszy artykuł jest pierwszym etapem pokazującym sposób zbilansowania pewnego poziomu macierzy, natomiast kolejnym etapem będzie efekt praktyczny.
The effectiveness of lightning protection on the power and distribution grid is a significant factor, which influences the power distribution reliability and the failure rate of system elements. As part of this article, a mathematical model will be presented, taking into account selected parameters that affect the assessment of the lightning hazard of an overhead line. The proposed model will consider the location of the object near the line and the adjustment of line conductor overhangs. Moreover, the mentioned mathematical model allows for analyzing the impact of considered parameters on the protection level of the power system, and transient overvoltages that occur in this system. The article contains also a detailed description of an effective and fast method to assess the lightning discharge impact on the power system with insufficient data. The introduced model was tested to verify the correctness of its operation by comparison of calculation results and functional data. High convergence of calculated and functional data and uncomplicated model structure ensure a wide range of applications for the proposed solution to easily prevent emergency situations in the power system. Furthermore, the described model gives the opportunity to assess the reduction of the range of selectivity zone associated with the power line, in conjunction with the impact of constructional peculiarities and a near object.
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The presented article discusses the differences in the results of the electric field simulation in a medium voltage heat-shrinkable cable termination with the most probable assembly faults. Two types of voltage excitation were set as the boundary condition for a model of a real object. The first was a typical electrostatic excitation, and the second was the AC voltage with mains frequency. Both were used for cable accessories with selected assembly omissions. Consideration of the effect of the excitation type suggests that for cable accessories, field simulation using only electrostatics leads to unreal results and incorrect inference about the location of zones with the highest electrical stresses.
PL
Prezentowany artykuł omawia wpływ zadanego wymuszenia na różnice w wynikach symulacji pola elektrycznego w termokurczliwej głowicy kablowej średniego napięcia z najbardziej prawdopodobnymi błędami montażu. Przyjęto dwa rodzaje wymuszenia napięciowego jako warunek brzegowy w modelu bazującym na konstrukcji rzeczywistej głowicy. Pierwszym było typowe wymuszenie elektrostatyczne, a drugiem wymuszenie napięcia przemiennego. Oba zostały zastosowane dla osprzętu kablowego z wybranymi błędami montażu. Uwzględnienie wpływu typu wymuszenia sugeruje, że w przypadku osprzętu kablowego symulacja pola z zastosowaniem wyłącznie elektrostatyki prowadzi do nierzeczywistych wyników oraz błędnego wnioskowania co do lokalizacji stref o największych naprężeniach elektrycznych.
This paper focuses on the analysis of selected risks as part of investments in the power engineering at the initial (tender) stage of the life cycle in the context of the method of project management by the Contractor. The study was carried out on the basis of an analysis of over 500 tenders in the power engineering, from the last 5 years, taking into account future forecast data. The analysis carried out in this article was aimed at achieving specific and unique goals and results aimed at creating a useful product, which is the Contractor’s offer in the power engineering, taking into account the most significant risks. The result of this article is to support the project team in implementing risk management in the project at the tender stage. For this purpose, the risks with their basic parameters were defined, which allowed for the development of a risk matrix taking into account the data obtained in the tender procedures of leading electric power distributors. Based on the proposed risk quantification criteria, a list of remedial actions was prepared for all risk types listed in this article. In addition, the aspects of possible elimination/reduction of the impact of the most significant risks that occur at the analyzed stage of the investment life cycle were developed.
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