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To meet the rapid growth of electricity demand and reduce carbon intensity, China is developing renewable energies rapidly including hydropower, wind and solar power. Due to the geographical mismatch of energy sources and demands in China, many long-distance and large-scale UHVDC and HVDC transmission projects have been built to transmit electric power from the western renewable bases to eastern coastal load centers. Some provincial power sources serve both local demands and deliver power to multiple regional power grids via HVDC transmission lines. As large capacity HVDC power transmission projects have great impacts on receiving-end power grids. Thus, the local exporting power grid should consider both local demands and energy importing area demands. A mixed-integer linear programming day-ahead peak shaving model to minimize the peak-valley difference in residual load after renewable generation of multiple power grids is developed. The model uses chance constraints to compensate for forecast errors of wind and solar power with hydropower, and introduces maximum daily power regulation times and stair-like power curve constraints of HVDC tie lines to avoid frequent HVDC power change and ensure power grid safety. The case studies in Yunnan province, which has large scale hydro, wind and solar power sources and delivers power to multiple regional power grids via HVDC transmission lines, shows the proposed model can shave peaks from multiple power grids effectively, hydropower can compensate for wind and solar forecast error and obtain satisfying results for multiple power grids, and that HVDC constraints can avoid their frequent power change and ensure the power grid safety.INDEX TERMS Hydro-wind-solar, peak shaving operation, mixed-integer linear programming, HVDC. NOMENCLATURE A. ACRONYMS HVAC High-voltage alternating current HVDC High-voltage direct current UHVDC Ultra-high-voltage direct current CHS Cascaded hydropower system LCCHS Lancang river cascaded hydropower system The associate editor coordinating the review of this manuscript and approving it for publication was Siqi Bu . JSCHS Jinsha river cascaded hydropower system YNPG Yunnan power grid GDPG Guangdong power grid GXPG Guangxi power grid B. SETS AND INDICES G, g Number of grids and index of power grid. T, t Set and index of time periods M, m Set and index of hydropower plants

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