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Keywords

Saint-Venant equation, hydrodynamics, regional power grid dispatch, multi-objective optimization, interval optimization, convex relaxation tightening

Abstract

The uncertainties of the power output of renewable energy stations such as wind power and photovoltaic and the hydrodynamic characteristics of the river channel connecting various run-of-river hydropower stations pose a great challenge to the generation dispatch scheduling of the regional power grid containing wind power-photovoltaic-run-of-river hydropower. The Saint-Venant equations are used to describe the dynamic relationship between flow rate and water level in the river channel. The numerical solution of the equations is obtained by the Preissmann difference method, and the convexified equations are further obtained through McCormick envelope and convex envelope relaxation methods. Interval numbers are used to describe the uncertain fluctuation characteristics of multiple uncertain quantities, including light intensity, wind speed, and upstream water flow, and a multi-objective interval optimal dispatch model for the regional power grid aiming at minimizing the central value and radius value of the total operation cost is proposed. The interval possibility degree method and extreme value theorem are used to deal with the constraints and objective functions containing interval numbers. Through the method of directly solving the compromise optimal solution of the multi-objective optimization problem, the original optimization problem is finally transformed into a directly solvable single-objective mixed-integer quadratically constrained programming problem. In addition, a convex relaxation tightening strategy is proposed to reduce the relaxation gap generated by the convex envelope relaxation of the quadratic equality constraints and improve the computational accuracy. Finally, the correctness and effectiveness of the proposed model and solution method are verified through the simulation analysis of a real regional power grid case containing wind power-photovoltaic-run-of-river hydropower.

DOI

10.19781/j.issn.1673-9140.2026.03.005

First Page

46

Last Page

58

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