Abstract
Recent developments to address the stability of small power systems, such as AC & DC microgrids include the use of advanced techniques that apply to Markov Jump Linear Systems (MJLSs). The system is considered to oscillate between discrete, finite operating modes, and can be represented as a Stochastic Hybrid System (SHS). Analytical solutions in terms of the moments of the power system dynamic and algebraic states were derived in previous studies. The method is validated for small systems (2 states, 2 modes). However, its scalability to larger systems remains an open question. In this paper, we apply the model to a standalone microgrid (two inverters, 36 states, 2 buses and 3 modes of operation). The resulting system statistics converge to Monte Carlo simulations. Future work will extend the application of the model to arbitrary large scale systems and will derive bounds on the statistics of the dynamic states.
| Original language | American English |
|---|---|
| Journal | Proceedings of the IEEE Power and Energy Conference at Illinois (2017, Champaign, IL) |
| DOIs | |
| State | Published - Feb 1 2017 |
Keywords
- Continuous Time Markov Chain
- Continuous Time Markov Chains
- Continuous Time Systems
- Hybrid Systems
- Linear Systems
- Markov Jump Linear Systems
- Markov Processes
- Microgrid Stability
- Modes Of Operation
- Monte Carlo Methods
- Power System Dynamics
- Small Power Systems
- Solar Buildings
- Stochastic Hybrid Systems
- Stochastic Systems
- System Stability
- System Statistics
Disciplines
- Electrical and Computer Engineering
Fingerprint
Dive into the research topics of 'Analysis of a Standalone Microgrid Stability using Generic Markov Jump Linear Systems'. Together they form a unique fingerprint.Cite this
- APA
- Standard
- Harvard
- Vancouver
- Author
- BIBTEX
- RIS