Slow flow solutions and stability analysis of single machine to infinite bus power systems
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M. G. Suresh Kumar
and
C. A. Babu
Abstract
Nonlinearity is a major constraint in analysing and controlling power systems. The behaviour of the nonlinear systems will vary drastically with changing operating conditions. Hence a detailed study of the response of the power system with nonlinearities is necessary especially at frequencies closer to natural resonant frequencies of machines where the system may jump into the chaos. This paper attempt such a study of a single machine to infinite bus power system by modelling it as a Duffing equation with softening spring. Using the method of multiple scales, an approximate analytical expression which describes the variation of load angle is derived. The phase portraits generated from the slow flow equations, closer to the jump, display two stable equilibria (centers) and an unstable fixed point (saddle). From the analysis, it is observed that even for a combination of parameters for which the system exhibits jump resonance, the system will remain stable if the variation of load angle is within a bounded region.
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Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: None declared.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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Articles in the same Issue
- Frontmatter
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- Optimization of controller gains to enhance power quality of standalone wind energy conversion system
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- Slow flow solutions and stability analysis of single machine to infinite bus power systems
Articles in the same Issue
- Frontmatter
- Research Articles
- Pre-diagnosis technology for short-circuit withstand capability of distribution transformer based on big data
- Residual flux impact in controlled switching of HVDC converter transformer
- A novel transient search optimization for optimal allocation of multiple distributed generator in the radial electrical distribution network
- Characterization of nano-additive filled epoxy resin composites (ERC) for high voltage gas insulated switchgear (GIS) applications
- An intelligent approach towards very short-term load forecasting
- Allocation of active power losses to generators in electric power networks
- Optimization of controller gains to enhance power quality of standalone wind energy conversion system
- A flexible power management strategy for PV-battery based interconnected DC microgrid
- Slow flow solutions and stability analysis of single machine to infinite bus power systems
