Abstract
It was usually considered in power systems that power flow equations had multiple solutions and all the eigenvalues of Jacobian ma-trix at the high-voltage operable solution should have negative real parts. Accordingly, type-1 low-voltage power flow solutions are defined in the case that the Jacobian matrix has only one positive real-part eigenvalue. However, an important issue which has not been well addressed yet is that the “negative reactance” may appear in the practical power system models. Thus, the negative real-part eigenvalues of the Jacobian matrix at the high-voltage operable solution may be positive and also the type-1 low-voltage solutions could have more than one positive real-part eigen-values, being a major challenge. Therefore, in this paper, the recognition of the type-1 low-voltage power flow solutions is re-examined with the presence of negative reactance. Selected IEEE standard power system models and the real-world Polish power systems are then tested to verify the analysis. The results reveal that the negative reactance in the practical power systems has a significant impact on the negative real-part eigen-values of the Jacobian matrix at the high-voltage operable solution as well as the number of positive real-part eigenvalues at the type-1 low-voltage power flow solutions.
Original language | English |
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Journal | IEEE Transactions on Power Systems |
Volume | 32 |
Issue number | 5 |
Pages (from-to) | 3471 - 3481 |
Number of pages | 11 |
ISSN | 0885-8950 |
DOIs | |
Publication status | Published - Sept 2017 |
Keywords
- Type-1 power flow solution
- Negative reactance
- Power flow
- Continuation power flow
- Eigenvalues