Abstract
This paper considers the problem of modifying the mathematical models of power shortage minimization as used in the adequacy assessment of electric power systems. A review and analysis of existing software packages were conducted, in particular, the power shortage minimization mathematical models that are part of them were considered. The mathematical models were modified to correctly account for the maximum allowable active power flow in the controlled sections. In the experimental part of this study we tested the proposed modifications. As a result, it was determined that the most appropriate results from the standpoint of the physical laws of operation of electric power systems are yielded by the model of power shortage minimization with quadratic losses, which takes into account the constraints of power transmission through the controlled sections.
Highlights
Nowadays energy industry is faced with an urgent task to ensure the required level of adequacy of electric power systems (EPS) which is needed for economic development and well-being in a modern society
For Calculation 3, the capacity of Line 4–5 was changed to 300 MW, resulting in the following power shortage values: PSM1 - 1182.003 MW, PSM3 1127.891 MW; the difference amounted to 54.112 MW
This model uses a smaller number of equality constraints and a smaller number of optimized variables, finds better values of the minimum power shortage in the system but has errors that fall outside the margin of the input data error, and, at this stage, this model is unable to account for controlled sections, so it cannot be used for calculations in software packages designed for adequacy assessment
Summary
Nowadays energy industry is faced with an urgent task to ensure the required level of adequacy of electric power systems (EPS) which is needed for economic development and well-being in a modern society. Some of the existing domestic solutions already use nonlinear models that factor in quadratic losses, but these models have deficiencies and are characterized by an excessive set of variables and constraints, which can lead to distortion of the result and unreasonably high counting time for the analyzed schemes of large dimensionality. Another disadvantage of existing power shortage minimization (PSM) models is that they require that constraints on power flows are set with respect to inter-zone links.
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