Integrated wind, solar, hydropower, and storage power plants can fully leverage the complementarities of various energy sources, with hybrid pumped storage being a key energy type within this system. However, the mathematical model for hybrid pumped storage is highly nonlinear, and existing research has not yet integrated it with wind, solar, and storage in a unified configuration. To address this gap, this paper establishes a two-stage stochastic optimization model for the configuration and operation of an integrated power plant that includes wind power, photovoltaics, hybrid pumped storage, and electrochemical storage. The Big-M method and piecewise linear fitting are employed to relax the nonlinear parts of the model. Finally, through simulation, the paper derives the configuration and operational status of various energy sources, as well as power generation schemes under different resource endowments. The research findings reveal the competitiveness and economic viability of hybrid pumped storage within a complementary wind-solar-hydro-storage system.