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This article discusses the problem of planning maintenance of power equipment during long-term planning of the operation of electric power systems. Here we propose a mathematical model for the formation of maintenance schedules for power equipment, which takes into account two aspects: the current technical condition of power equipment and maximizing the planned reliability of electric power systems when carrying out maintenance of power equipment. Provided methodology for generating maintenance schedules for power equipment was tested on using the scheme of three reliability zones.

Analysis of domestic and foreign software systems for assessing the resource adequacy showed a variety of models and methods used in them. Many software systems use both linear and nonlinear models, these models are optimized according to various criteria to simulate the operation of the system. As tools for solving, software usually use commercial high-level modelling systems for mathematical optimization. However, in addition to the existing ready-made commercial solutions, the authors consider the effectiveness of optimization methods, as well as their parallelized versions, which can be independently implemented and applied as a solver for a specific problem. As a result, it was confirmed that these methods can be used to solve the problem, but they are less effective relative to a commercial solver. From the point of view of accuracy and resources spent on calculations, the most effective of the independently implemented methods turned out to be the parallelized method of differential evolution, which was confirmed by numerical experiments on small systems.

Determination of reserves of generating capacity is one of the main tasks in planning the future development of electric power systems. There are many problems that affect the rational level of redundancy of generating capacities in Russian power industry. Modern changes in the Russian electric power industry concerning the level of redundancy of generating capacity in the long-term planning of the development of the Unified Power System (UPS) of Russia are analyzed in the article. The optimization problem of determining the necessary reserves of generating capacity in the power system, based on the assessment of adequacy, taking into account the modern features of the development of the UPS of Russia is presented. The results of assessing the adequacy of the UPS of Russia at the level of 2022 and the value of the optimized reserves of generating capacity in the UPS of Russia are showed in the final part.

The article presents an analysis of the models for minimizing the power shortage used in adequacy assessment by the Monte Carlo method. We analysed two models: a model with quadratic losses in power lines and a model using network coefficients (first-order sensitivity coefficients), that are showing the dependence of the change in power flows through power lines on the balance of generation / consumption in the reliability zones. As a result of the analysis, a conclusion is made about the applicability of the investigated models for adequacy assessment in the long-term planning of the development of electric power systems.

This study presents the algorithms for modeling of scheduled repairs of generating equipment when assessing the resource adequacy of electric power systems by the Monte Carlo method that relies on random events. We present an analysis of the algorithms adopted in the available software and computer systems used to assess the resource adequacy and highlight their shortcomings. We propose an algorithm for modeling of scheduled repairs of generating units that does away with the flaws of the algorithms adopted elsewhere. In the final part of the article, we present the findings of numerical experiments that test the performance of the algorithms.