A Mathematical Approach of Voltage Sag Analysis Incorporating Bivariate Probability Distribution in a Meshed System

Jagannath Patra and Nitai Pal ()
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Jagannath Patra: Department of Electrical Engineering, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, India
Nitai Pal: Department of Electrical Engineering, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, India

Energies, 2022, vol. 15, issue 20, 1-19

Abstract: In this paper, different mathematical expressions are derived to compute the residual magnitude of voltage caused by faults along the line and on the bus. Symmetrical and unsymmetrical faults are taken into consideration, and the consequences of the various fault distributions are considered. A new way of assessing a sag is proposed that incorporates the method of fault position and mathematical expression based on sequence currents and voltages. The fault impedance is introduced to obtain a better result. A fast and efficient load flow analysis technique produces quick computational results. In addition, the sag analysis is performed using the bivariate joint discrete probability distribution method that gives a clear idea about the probability of occurrence of sag in a meshed network. The suggested approach is applied in the IEEE 39-bus system and with an existing real-time electrical power distribution system in India.

Keywords: fault position method; symmetrical and unsymmetrical fault; voltage sag assessment; mathematical approach; bivariate joint probability distribution (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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