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A bilevel optimization problem formulation based on mathematical programs with equilibrium constraints (MPEC) to coordinate longer- (LTHS) and shorter-term hydro-thermal scheduling problems (STHS), as an alternative perspective to classical decomposition strategies is presented. The motivation to use MPEC to formulate the coordination of LTHS and STHS models as an equilibrium problem is both educational...
Novel approaches for the decentralized operation of the power system are gaining attention. In this direction, a fully distributed method is proposed for the economic dispatch problem that takes into account transmission losses. We assume that the total losses are calculated using loss coefficients and that the generators communicate through a peer-to-peer structure calculating the solution in a distributed...
Rapid increase of the renewable energy share in electricity production requires optimization and flexibility of the power consumption side. Thermostatically controlled loads (TCLs) have a large potential for regulation service provision. Economic model predictive control (MPC) is an advanced control method which can be used to syncronize the power consumption with undispatchable renewable electricity...
Nodal pricing or LMP is one option to deal with congestion in the distribution grids that are expected due to the emergence of electric vehicles. When optimal power flow (OPF) with losses is used to determine optimal dispatch and locational marginal prices (LMP) of a power systems, the prices include marginal losses. Marginal losses are double the amount of the real physical losses. This leads to...
The unification of the day-ahead power exchanges resulted in a varying set of order types, which leads to challenges in the formalization of mathematical models and clearing procedures. In our paper, we have focused on complex orders. Complex orders have been in use in the Iberian power markets for many years, and they have been involved in the EUPHEMIA [1] as well, which is the clearing algorithm...
The number and locations of transmission lines that are likely to get simultaneously congested are useful information for analysis of power market. In this paper, we present a study that demonstrates the number of simultaneously congested transmission lines is very limited, as well as an algorithm for identifying a small set of transmission lines that may become simultaneously congested based on the...
The paper discusses the issues of situation models application for technical and economic values calculation for the purpose of oil refining and petrochemistry processes real-time control. The analysis conducted is of influence of unmeasured and measured (process mode parameters) feature variables, such as catalyst activity, feed data on the model parameters is conducted. It is shown that at the change...
The large-scale wind power incorporation increases the uncertainty of the power grid. In this paper, we propose a new stochastic optimization method to eliminate it. The entropy risk value (EVaR) is used to describe the safety margin of the power system for limiting the safety margin to the power system security risk constraint. Finally, we use matlab to validate the validity of the model and the...
In the paper the problems of modeling and investigating the behavior of complex socio-economic systems are considered. Authors are deeply concerned about decision-making support issues in the case of evaluation for such complex socio-economic systems. To solve these problems, the totality of the development goals of the object and the priorities of these goals are determined, then the indicators are...
This paper presents results of modelling of power sector expansion problem in terms of heat and electricity output production by renewable energy technologies (RETs), which are treated as competitive within a local power complex and/or integrated power system. The model uses the budget projections implied by national or local scenario of RETs' financing. The modeling approach exploits the basic principles...
This article presents an application of the Particle Swarm Optimization (PSO) on the optimization of the power flow in a IEEE system with 30 nodes, which has some nodes with distributed generation. In first place, the mathematical model used for the optimization of the electricity generation costs. Afterwards, this model is applied in a case study with a IEEE system with 30 nodes. The results obtained...
A comprehensive solution to the economic, social and environmental issues of sustainable tourism development is impossible without the development of mathematical models and supporting tools to predict the main indicators of the sustainable development of tourism, identify key development factors, and determine the effectiveness of management decisions. Most economic and mathematical models for the...
P-graph methodology was originally proposed as a systematic approach to process network synthesis (PNS). However, this graph theoretic approach has also been applied to a broad range of problems with similar structure as PNS. In particular, recent work has demonstrated the similarity of PNS problems to input-output (IO) optimization problems; the latter class of problems has been applied for physical...
In universities, the academic programs are organized in a number of periods, usually in six or ten semesters, for a bachelor or a master degree, respectively. It usually happens that a given semester is much loaded with courses than the others. This makes it hard for the students to comprehend and deal with a high volume of learning material per certain semesters. This problem is difficult, because...
In the article an approach to accounting uncertainty of the initial information in the system research. It consists in the inclusion of uncertainty as one of the parameters in the studied model systems. The authors propose classification according to the degree of uncertainty, which allows you to identify the following types of uncertainty: complete certainty, stochastic and fuzzy uncertainty. Described...
A decision-making model is proposed for cases with incomplete and contradictory. Completeness and consistency of information usually leads to unambiguous choice. Otherwise, it is necessary to make a decision under ambiguous conditions. One of the possible solutions here is the consideration of a generalized interpretation of logic variables and a special superposition of formulas. The simplest case...
We consider an impact of spreading information about future tax audits on strategies of a population of taxpayers. We suppose that each agent selects the best method of behavior, which depends on the behavior of other agents. Its assumed that all taxpayers pay taxes in accordance with their income, if they know that the probability of an audit is high. Though one share of agents can hide their true...
In this paper, a 3-player cooperative differential game with negative externalities is considered. We assume constant constraints on controls. For this game, a delta-characteristic function is constructed. Numerical example of such delta-characteristic function is presented.
Is devoted to the study of models of the causality of factors in socio-economic systems and processes. The author suggests a study of the causality of factors based on the theory of fuzzy binary relations using the mathematical apparatus of fuzzy implication (according to Goguen J.). As an example, the impact of corporate culture indicators on key performance indicators of the organization is given.
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