A Study on an Out-of-Step Detection Algorithm Using the Time Variation of Complex Power: Part I, Mathematical Modeling

You-Jin Lee, Jeong-Yong Heo, O-Sang Kwon and Chul-Hwan Kim
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You-Jin Lee: KEPCO Research Institute (KEPRI), Daejeon 34056, Korea
Jeong-Yong Heo: Department of Electrical and Computer Engineering, Sungkyunkwan University, Suwon 16410, Korea
O-Sang Kwon: Department of Electrical and Computer Engineering, Sungkyunkwan University, Suwon 16410, Korea
Chul-Hwan Kim: Department of Electrical and Computer Engineering, Sungkyunkwan University, Suwon 16410, Korea

Energies, 2020, vol. 13, issue 16, 1-12

Abstract: Power quality and stability have become the most important issues in power system operations, Micro Grids, and Smart Grids. Sensitive equipment can be seriously damaged when exposed to unstable power swing conditions. An unstable system may cause serious damage to Micro Grid System elements such as generators, transformers, transmission lines, and so forth. Therefore, out-of-step detection is essential for the safe operation of a Micro Grid system. In general, Equal Area Criterion (EAC) is a method for evaluating the stability of Smart Grid systems. However, EAC can be performed only if it is possible to analyze the active power and generator angle. This paper presents an analysis of the trajectory of complex power using a mathematical model. The variation of complex power is analyzed using a mathematical method, and then the relationship between complex power and EAC is presented, and a simulation performed. Later, in part II, a novel out-of-step detection algorithm based on part I will be presented and tested.

Keywords: out-of-step; power swing; Equal Area Criterion; complex power; transient stability; micro grid; smart grid (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: 2020
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