A Methodology for Predicting Resonance Phenomena in Electric Power Systems with Nonlinear Loads
DOI:
https://doi.org/10.24160/0013-5380-2026-6-54-64Keywords:
electric power system, nonlinear load, resonance, methodology, forecasting, nodal impedance, predicted resonance occurrence coefficientAbstract
The article addresses the problem of ensuring the electric power quality in electric power systems with a powerful nonlinear load, which is a source of current and voltage higher harmonic components. Higher harmonics of current and voltage negatively affect both the main electrical equipment and the operation of control, protection and automation systems. The factors through which the current and voltage higher harmonic components adversely affect the electric network elements are given. It is shown that in the presence of current and voltage harmonic components at various electric power system nodes, there is a possibility of resonance phenomena to occur. For analyzing complex electrical circuits, it is proposed to use the matrix form of describing the network equations of state using the graph theory. A method has been developed for estimating the probability of resonance phenomena to occur based on the predicted resonance occurrence coefficient, which makes it possible to compare the calculated values of nodal impedances at various frequencies with their permissible limits. Based on the methodology proposed, an algorithm and a computer program have been developed. The practical significance of the study is confirmed by numerical calculations taking as an example Tajikistan’s electric power system southern part, which contains an aluminum plant that behaves as a powerful source of harmonics. A comparative analysis of the network frequency responses in normal and post-emergency network operation modes (when one circuit of the 500 kV line is disconnected) has been carried out. The most vulnerable nodes of the circuit at which there is a possibility of resonance to occur have been identified.
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