The characteristics of a submersible induction motor are described with sufficient reliability for practice by the theory of multi-motor electric drive. In this case, the classical circuit of a submersible induction motor is a coupled system of several equivalent-T circuits. In turn, this significantly increases its computational complexity and reduces the speed of ACS. It is proposed to construct a mathematical model of the submersible electric motor in the form of polynomials with significantly higher speed using the methods of experiment planning. In the area of applicability, the differences in the estimation of energy performance do not exceed 1.1%, between the proposed models and classical equivalent-T circuits.

Keywords: automated control system, mathematical model, polynomial, mean absolute percentage error, computational complexity, design of experiment, scatter diagram, modal interval, submersible electrical motor, rotor package

The article is devoted to the study of the possibilities of automatic transcription and analysis of audio recordings of telephone conversations of sales department employees with clients. The relevance of the study is associated with the growth of the volume of voice data and the need for their rapid processing in organizations whose activities are closely related to the sale of their products or services to clients. Automatic processing of audio recordings will allow checking the quality of work of call center employees, identifying violations in the scripts of conversations with clients. The proposed software solution is based on the use of the Whisper model for speech recognition, the pyannote.audio library for speaker diarization, and the RapidFuzz library for organizing fuzzy search when analyzing strings. In the course of an experimental study conducted on the basis of the developed software solution, it was confirmed that the use of modern language models and algorithms allows achieving a high degree of automation of audio recordings processing and can be used as a preliminary control tool without the participation of a specialist. The results confirm the practical applicability of the approach used by the authors for solving quality control problems in sales departments or call centers.

Keywords: call center, audio file, speech recognition, transcription, speaker diarization, replica classification, audio recording processing, Whisper, pyannote.audio, RapidFuzz

The article reflects the basic principles of the application of artificial intelligence (AI) and machine learning (ML) technologies at oil refineries, with a particular focus on Russian industrial enterprises. Modern oil refineries are equipped with numerous sensors embedded in technological units, generating vast volumes of heterogeneous data in real time. Effective processing of this data is essential not only for maintaining the stable operation of equipment but also for optimizing energy consumption, which is especially relevant under the increasing global demand for energy resources. The study highlights how AI and ML methods are transforming data management in the oil industry by enabling predictive analytics and real-time decision-making. Python programming language plays a central role in this process due to its open-source ecosystem, flexibility, and extensive set of specialized libraries. Key libraries are categorized and discussed: for data preprocessing and manipulation (NumPy, SciPy, Pandas, Dask), for visualization (Matplotlib, Seaborn, Plotly), and for building predictive models (Scikit-learn, PyTorch, TensorFlow, Keras, Statsmodels). In addition, the article discusses the importance of model validation, hyperparameter tuning, and the automation of ML workflows using pipelines to improve the accuracy and adaptability of predictions under variable operating conditions. Through practical examples based on real industrial datasets, the authors demonstrate the capabilities of Python tools in creating interpretable and robust AI solutions that help improve energy efficiency and support digital transformation in the oil refining sector.

Keywords: machine learning (ML), artificial intelligence (AI), intelligent data analysis, Python, Scikit-learn, forecasting, energy consumption, oil refining, oil and gas industry, oil refinery

Modern predictive analytics methods significantly enhance the capabilities of network monitoring systems by enabling early detection of anomalies and potential failures. This article presents the results of a study on approaches to building a proactive network monitoring system using machine learning and statistical analysis methods. It is demonstrated that the use of combined models based on recurrent neural networks and autoregressive models provides the most accurate network traffic forecasting with a prediction horizon of up to 10 time intervals. The practical implementation of the proposed approach allows for a 27% reduction in unplanned downtime and a 35% decrease in incident response time compared to traditional reactive monitoring systems.

Keywords: predictive analytics, network monitoring, machine learning, statistical analysis, anomaly detection, traffic forecasting, recurrent neural networks, autoregressive models, proactive systems, fault tolerance

The article is devoted to the analysis and optimization of the stability of engineering structures to wind loads through the use of innovative structures of support and anchor foundations. In modern construction, when the requirements for reliability and stability of buildings have increased, special attention is being paid to the development of effective foundations capable of withstanding both compressive and pulling loads. Support and anchor foundations are presented as a comprehensive solution, including combined anchors and a monolithic slab (grillwork), ensuring uniform load distribution. The main focus is on the combined anchor, which acts as the main working element that receives the forces from the structure and effectively transfers them to the ground. Unlike traditional piles, the proposed design significantly increases the resistance to pulling due to the use of wire anchors with high load-bearing capacity.

Keywords: pile, conical tip, support and anchor foundation, support, combined anchor, grillage

The combination of systems analysis and long-term planning is a crucial factor for ensuring sustainable development and enhancing the competitiveness of enterprises. In this context, the use of the Event Tree Analysis method plays a key role in assessing the achievement of strategic goals, tasks, and identifying potential risks. This study focuses on the development and application of an event tree to analyze various aspects of system operations, including goal setting, strategy development, and task execution. The application of the ETA method not only allows for modeling possible event scenarios but also enables the development of risk mitigation measures, contributing to long-term sustainability and successful system functioning.

Keywords: event tree, system analysis, strategic planning, risk management, threat minimization, sustainable development, enterprise competitiveness, quantitative analysis, qualitative analysis, dependent events, conditional probabilities, protective mechanisms

Steel hoisting ropes play an important role in metallurgical equipment, ensuring reliability and efficiency of lifting operations. One of the key features of their operation is the high level of contamination typical of metallurgical operations. Metallurgical processes are often accompanied by dust, metal chips and other abrasive particles that can significantly degrade ropes, causing wear and corrosion. To maintain the efficient operation of equipment it is necessary to monitor the condition of hoisting ropes in real time, which makes the task of improving automatic systems for monitoring the condition of ropes urgent. The paper reviews the methods of optical control of defects in hoisting steel ropes, the advantages and limitations of different approaches are considered. The aim of the work is to justify the effectiveness of the authors' developed method of analyzing rope defect images using neural networks in relation to the method based on the discrete Fourier transform. It is revealed that one of the most promising in terms of technical and economic efficiency of inspection methods is the application of vision system with image processing based on convolutional neural network technology, which allows to effectively detect defects in complex and changing operating conditions, such as metallurgical and mining production, where the background of the image may be non-uniform, and the distance between the camera and the rope varies.

Keywords: lifting ropes, vision systems, optical control methods, fast Fourier transform, hidden Markov models, convolutional neural networks

Modern intelligent control systems (ICS) are complex software and hardware systems that use artificial intelligence, machine learning, and big data processing to automate decision-making processes. The article discusses the main tools and technologies used in the development of ICS, such as neural networks, deep learning algorithms, expert systems and decision support systems. Special attention is paid to the role of cloud computing, the Internet of Things and cyber-physical systems in improving the efficiency of intelligent control systems. The prospects for the development of this field are analyzed, as well as challenges related to data security and interpretability of models. Examples of the successful implementation of ICS in industry, medicine and urban management are given.

Keywords: intelligent control systems, artificial intelligence, machine learning, neural networks, big data, Internet of things, cyber-physical systems, deep learning, expert systems, automation

The study of the shaping of these objects makes it possible to create new in shape and structure, durable and reliable building structures. This makes it possible to improve building structures based on the principles outlined in this study. The shapes and structure of some plant objects, such as bamboo, are considered. The search for optimal design options with natural structures in construction is especially relevant and gives rise to such a direction in science as bionics. And the introduction of mathematical modeling methods using bionic principles in the design creates conditions for the construction of more durable and reliable construction structures.

Keywords: plant object, model, bionics, shape, structure, construction

The authors of the article raise the question of the value of the graphic heritage of famous architects, which they brought when they were sent abroad (on so-called retirement trips) to study architectural monuments, and the significance of these works for their design activities. The development of retirement at the Academy of Fine Arts is briefly considered. Using the example of drawings made by I.A. Monighetti abroad, in order to get acquainted with the world's artistic and architectural monuments, a comparative analysis of measurements preserved in the library's collection with fragments of his specific buildings is carried out. In this publication, for the first time, some of the surviving works of I.A. Monighetti, which are in the collection of the library of St. Petersburg State University, are introduced into scientific circulation. The method of using the studied architectural monuments in the practical works of the master is shown.

Keywords: stages, architectural education, Academy of fine Arts, retirement, graphic heritage, projects, architect, Hippolyte Monighetti

For the development of automated systems for designing ultraviolet irradiators intended to compensate for the deficiency of natural ultraviolet, it is critically important to know the spatial distribution of the erythemal radiation power. However, there are no suitable sensors for direct measurement of this value on the Russian market. In this regard, an alternative method for determining the erythemal radiation power is considered, which does not require the use of specialized erythemal-sensitive receivers. The method is based on obtaining the spatial distribution of the erythemal radiation power by taking into account the curve of the relative spectral erythemal efficiency of radiation and preliminary measurements on a gonioradiometric setup of the distribution of energy illuminance in the UVA (320 - 400 nm), UVB (280 - 320 nm) regions and the relative spectral distribution of the irradiator or radiation source for one arbitrarily selected direction in the wavelength range of 280 - 400 nm.

Keywords: ultraviolet radiation; erythemal radiation; irradiation units; measurement method, radiation strength; spatial distribution of erythemal radiation strength, method

The article discusses the main aspects of architecture in the Russian style. The study of the structure of Russian and neo-Russian style structures makes it possible to understand the features of creating fractal elements of these unique and distinctive buildings. The characteristic elements of Russian-style architectural structures are listed. The differences between the structures built by architects in Russia at different times are shown. The article considers examples of the harmonious inclusion of buildings of Russian architecture in modern urban space. The development of this style in our time is of interest in Russia and in the world. It is necessary to develop and rethink traditional methods of image and shaping, developing national architecture.

Keywords: architecture, Russian style, architectural element, fractal structures

The paper proposes a method for calculating the area of a flat area from a photograph based on the use of mathematical analysis methods. To calculate the area, a curved integral of the second kind is used along a closed contour bounding the area under consideration. Defining the boundary in the form of a Bezier spline reduces the calculation of a curved integral to the calculation of several definite integrals from the Bernstein basis polynomials. An explicit form is obtained for integrals of Bernstein basis polynomials. For a third-order Bezier spline, a formula is derived for calculating the area of the area in terms of the coordinates of the reference points of the Bezier curves.

Keywords: cubic spline, Bernstein basis polynomials. Bezier curve, Bezier spline, Green's formula, beta function, gamma function

The article is devoted to the development of a methodology for forming student groups to optimize learning. The study includes a mathematical model and methods for its optimization. The development of a key model for optimizing the schedule and improving learning efficiency is planned.

Keywords: class scheduling, scheduling algorithms, class schedule, academic workload, automated information system, computer simulation experiments, resource allocation

The study of the structure of structures of Gothic and Neo-Gothic styles makes it possible to understand the possibilities of creating fractal elements of these unique buildings. The methods of determining the fractal dimension for an object both on a plane and in space are shown. The characteristic elements of the frame structures of Gothic architecture are listed. The differences between the structures built by architects in Russia and the buildings of Western architecture in Europe are shown. The article examines examples of the harmonious integration of Gothic architecture buildings into modern urban space. The article discusses methods for calculating the fractal dimension of objects of Gothic architecture with a high degree of fractality.

Keywords: architecture, Gothic style, neo-Gothic, element, fractal, fractal dimension