Generation Scheduling Based on Two-Level Optimization Problem

Notation

The notation used in the paper is presented below for quick reference. Other symbols are defined as needed throughout the text:

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  n – number of buses in EPS;

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  I_n – set of numbers of buses in EPS;

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  m – number of ties in EPS;

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  g – number of generating buses;

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  I_g – set of numbers of generating buses;

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  F – amount of GCs;

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  f – index number of GC;

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  n_f – amount of generating buses in the f-th GC;

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  I_f – set of numbers of generating buses in the f-th GC;

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  I_d – set of numbers of demand buses;

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  R_i – set of numbers of buses connected with node i;

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  P_gi – power generation at bus i, MW;

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  P_di – power load at bus i, MW;

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  p_i – electricity market clearing price at bus i, $/MW;

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  P_ij – power flow from bus i to bus j, MW;

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  P_ji – power flow from bus j to bus i, MW;

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  P_gimin, P_gimax – minimum and maximum power generation at bus i, MW;

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  P_ijmax – maximum transfer capabilities of the transmission line between buses i and j, MW;

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  ∆_ij – power losses in the ties between buses i and j as fractions of power flows P_ij or P_ji.