Premium
Classification and analysis of voltage stabilities in power systems
Author(s) -
Yorino Naoto,
Masuda Yoshihiko,
Sasaki Hiroshi,
Nishikame Kazuhiro,
Tamura Yasuo,
Kitagawa Minoru,
Ohshimo Akira
Publication year - 1991
Publication title -
electrical engineering in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.136
H-Index - 28
eISSN - 1520-6416
pISSN - 0424-7760
DOI - 10.1002/eej.4391110506
Subject(s) - jacobian matrix and determinant , eigenvalues and eigenvectors , voltage , control theory (sociology) , instability , electric power system , perturbation (astronomy) , nonlinear system , power flow , singular perturbation , transformer , stability (learning theory) , mathematics , computer science , power (physics) , engineering , mechanics , physics , mathematical analysis , electrical engineering , control (management) , quantum mechanics , artificial intelligence , machine learning
The voltage stability problem has long been studied by many researchers mainly by means of two approaches: the static approach in which voltage stability is considered as a load‐flow problem; and the dynamic approach in which it is dealt with as a stability problem in dynamic systems. However, up to now, these separate approaches have not clarified sufficiently the overall aspect of the voltage problem. In fact, there are no proper criteria to determine which approach is suited to analyze voltage stability. Thus, a basic study seems to be needed under such a situation. This paper investigates the voltage stability problem from the viewpoint of mechanism causing voltage instability. Various dynamic factors which affect voltages are studied as much as possible. First, possible voltage instability patterns are classified based on singular perturbation theory. That is, four categories of instabilities are defined mathematically. Second, a method of stability assessment for each instability is presented. It is clarified that the determinant of the load‐flow Jacobian is an effective index to approximately assess two types of instabilities. On the other hand, the remaining instabilities require eigenvalue analyses or direct nonlinear analyses. The validity of these results is verified through numerical simulations and eigenvalue analyses in which dynamic characteristics of generating units, loads and tap‐changing transformers are taken into account.