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3 Poznan University of Technology Academic Journals. Electrical Engineering

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Power system participation factors for real and complex eigenvalues cases

Konoval V., Prytula R.

Poznan University of Technology Academic Journals. Electrical Engineering

2017

No. 90

369--381

This paper provides a brief overview on existing approaches for defining participation factor in modal analysis. We calculated participation factors using different approximations and specific examples, and then compared the obtained results with equations derived from the mode evolution. As a result, the existing methods for determining a state variable participation factor in mode are proved incorrect result for complex eigenvalue case. Modem software applications designed to analyze power system stability deploy old approaches that provide incorrect results of modal analysis and pose risks to the operation of real power systems. To solve this problem we presented a new broadened definition of participation factor that assures correct results for real and complex eigenvalues cases. We used a two-mass mechanics system to validate proposed approach and our findings confirm the proposed participation factor theory.

Participation factor in modal analysis of power systems stability

Konoval V., Prytula R.

Poznan University of Technology Academic Journals. Electrical Engineering

2016

No. 86

97--104

This paper provides a brief overview on existing approaches for defining participation factor in modal analysis which characterizes the interaction between modes and state variables of power system. We calculated participation factors using different methods and compared the results obtained with the expressions derived from mode evolution. For cases of complex eigenvalues of linear differential equations characteristic matrix it was discovered incorrect existing approaches for defining participation factor of state variable in mode. Modern software applications designed to analyze power system stability widely deploy the approaches discussed that provide incorrect results of modal analysis and pose risks to the operation of real power systems. Therefore the problem of calculating the participation factor remains as important as ever.

Static stability analysis of power systems

Konoval V., Prytula R., Skrypnyk O.

Poznan University of Technology Academic Journals. Electrical Engineering

2015

No. 82

11--19

The developed modal method for analyzing oscillating static stability of power systems is based on eigenvalues and eigenvectors. As a mathematical model to the study we use a system of linearized differential equations that describe the behaviour of synchronous machines and their excitation systems during minor disturbances. This approach allows us to analyse the static stability of large power systems, evaluate stability margins, degree of damping modes, and set adjustment mechanism for mode parameters to improve mode stability. We investigated the impact of generator excitation system replacement on stability of Ukraine’s power system. The suggested modal analysis is implemented in the DAKAR software suite [1].