Co-ordinated control of inter-area oscillations using SMA and LMI. Pal, A. & Thorp, J. S. In IEEE Power Energy Society Conference on Innovative Smart Grid Technologies (ISGT), pages 1–6, Washington, DC, January, 2012.
Co-ordinated control of inter-area oscillations using SMA and LMI [link]Paper  abstract   bibtex   
Selective Modal Analysis (SMA) has been used in the design of WAMS based damping of inter-area oscillations. In conjunction with a Linear Matrix Inequality (LMI) formulation and a polytopic model a single control law can be found to guarantee pole placement for multiple contingencies. The previous attempts have used a model containing all the ε and ω modes, with SMA used to eliminate all other states. In practical applications the resulting system is still too large to use in a polytopic model. This paper presents an algorithm to further reduce the system size to the relevant modes of oscillations. A 16 machine, 68 bus system is used as the test case with PSSs, DC lines and SVCs acting as the control.
@inproceedings{pal_co-ordinated_2012,
	address = {Washington, DC},
	title = {Co-ordinated control of inter-area oscillations using {SMA} and {LMI}},
	url = {https://ieeexplore.ieee.org/abstract/document/6175535},
	abstract = {Selective Modal Analysis (SMA) has been used in the design of WAMS based damping of inter-area oscillations. In conjunction with a Linear Matrix Inequality (LMI) formulation and a polytopic model a single control law can be found to guarantee pole placement for multiple contingencies. The previous attempts have used a model containing all the ε and ω modes, with SMA used to eliminate all other states. In practical applications the resulting system is still too large to use in a polytopic model. This paper presents an algorithm to further reduce the system size to the relevant modes of oscillations. A 16 machine, 68 bus system is used as the test case with PSSs, DC lines and SVCs acting as the control.},
	booktitle = {{IEEE} {Power} {Energy} {Society} {Conference} on {Innovative} {Smart} {Grid} {Technologies} ({ISGT})},
	author = {Pal, Anamitra and Thorp, James S.},
	month = jan,
	year = {2012},
	keywords = {Damping, Eigenvalues and eigenfunctions, Generators, Inter-area oscillations, Linear Matrix Inequality (LMI) Control, Mathematical model, Oscillators, Polytopic Model, Power system dynamics, Reduced order systems, Selective Modal Analysis (SMA), Wide Area Measurements},
	pages = {1--6},
}

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