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  • 1. Chavez, Hector
    et al.
    Hezamsadeh, Mohammad Reza
    KTH, School of Electrical Engineering (EES).
    Carlsson, Fredrik
    A Simplified Model for Predicting Primary Control Inadequacy for Nonresponsive Wind Power2016In: IEEE Transactions on Sustainable Energy, ISSN 1949-3029, E-ISSN 1949-3037, Vol. 7, no 1, p. 271-278Article in journal (Refereed)
    Abstract [en]

    The integration of wind power (WP) into power systems has led to concerns on the adequacy of primary frequency control. Such concerns have currently arisen in interconnections with high penetration of WP and may appear in other systems where high penetration of WP is planned. This paper proposes a method for predicting the level of WP penetration that may lead to primary frequency control inadequacy, considering a empirically-validated model of primary frequency control, worst-case scenario conditions and no frequency response from WP machines. The NORDEL interconnection is considered as a case study.

  • 2.
    Moiseeva, Ekaterina
    et al.
    KTH.
    Hesamzadeh, Mohammad Reza
    KTH, School of Electrical Engineering and Computer Science (EECS), Electric Power and Energy Systems.
    Bayesian and Robust Nash Equilibria in Hydrodominated Systems Under Uncertainty2018In: IEEE Transactions on Sustainable Energy, ISSN 1949-3029, E-ISSN 1949-3037, Vol. 9, no 2, p. 818-830Article in journal (Refereed)
    Abstract [en]

    In this paper, we model strategic interaction of multiple producers in hydrodominated power systems under uncertainty as an equilibrium problem with equilibrium constraints (EPEC), reformulated as a stochastic mixed-integer linear program with disjunctive constraints. We model strategic hydropower producers who can affect the market price by submitting strategic bids in quantity, price, and ramp rate. The bids are submitted to the system operator who minimizes the dispatch cost. We take into account the hydrospecific constraints and uncertainty in the system. Solving the problem results in finding Nash equilibria. We discuss two types of Nash equilibria under uncertainty: Bayesian and robust Nash equilibria. Large EPEC instances can be solved using a decomposition method-Modified Benders Decomposition Approach. This method eliminates the problem of tuning the disjunctive parameter and reduces the memory requirements, resulting in improved computation time.

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