Mathematical method for calculating the risk of power flows exceeding the tie lines capacity in the problem of adequacy assessment

The integration of new technologies and changing of principles of power system’s control and operation have led to the necessity for increasing the level of details of the data and representation used in the models for planning power system future perspectives. Because of this fact, the computation burden of the traditionally used Monte Carlo simulation technique (MCS) has become significant even in terms of long term planning. Analytical method that allows to speed up calculations of generation adequacy indices such as the risk of exceeding tie lines capacity constraints by power flows is proposed in the article. The proposed approach is based on Lagrange multipliers method applied for random values. In accordance to the test calculations the proposed method requires less computation time and enough accurate in comparison to MCS.

Keywords

Power systems, adequacy, adequacy indices, power imbalance, Lagrange multiplier method, Monte Carlo simulation, correlation matrix

Publication date

10.01.2019

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GOST	Oboskalov V., Valiev R. Mathematical method for calculating the risk of power flows exceeding the tie lines capacity in the problem of adequacy assessment // Izvestiia Rossiiskoi akademii nauk. Energetika – 2018. – Issue 5 C. 3-14 [Electronic resource]. URL: http://ras.jes.su/energetika/s000233100003210-5-1-en (circulation date: 09.10.2024). DOI: 10.31857/S000233100003210-5
MLA	Oboskalov, V., Valiev, R. "Mathematical method for calculating the risk of power flows exceeding the tie lines capacity in the problem of adequacy assessment." Izvestiia Rossiiskoi akademii nauk. Energetika 5 (2018):3-14. DOI: 10.31857/S000233100003210-5
APA	Oboskalov V., Valiev R. (2018). Mathematical method for calculating the risk of power flows exceeding the tie lines capacity in the problem of adequacy assessment. Izvestiia Rossiiskoi akademii nauk. Energetika (5), pp.3-14 DOI: 10.31857/S000233100003210-5

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