Power system in different operating regimes

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Reference no: EM133114219

Question: You are working as a group of consultants for Western Power Distribution. They are interested in balancing the grid based on supply and demand. The grid is well represented by the single-machine infinite-bus (SMIB) model:

δ^· = ω

Mω^· = P_m -P_maxsinδ - Dω

where, Pm is the input mechanical power and P_max is the maximum capacity of the line to transmit active power. As in the example given in Alberto and Bretas (2000a), consider the constants as: P_max = 3, P_m = 2, M = 0.05, D = 0.15. You can also consider other values of the constant and a multi-machine case given in Alberto - and Bretas (2000b).

[1] Alberto, L.F. and Bretas, N.G., 2000. Application of Melnikov's method for computing heteroclinic orbits in a classical SMIB power system model. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 47(7),

[2] Alberto, L.F.C. and Bretas, N.G., 2000. Required damping to assure multiswing transient stability: the SMIB case. International Journal of Electrical Power & Energy Systems, 22(3), pp.179-185.

To model the dynamics of the power grid you can explore the following:

- steady states;
- stability of steady states;
- numerical solution of the power system in different operating regimes;
- mechanical and electrical power ranges for the power system being stable.

Reference no: EM133114219

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