Identifying possible use cases for quantum computers is important to evaluate the potential. This work-in-progress paper explores their potential for addressing the short-term generation scheduling (STGS) problem in hydropower plants. By working towards reformulating the STGS problem as a quadratic unconstrained binary optimization (QUBO) problem, we aim to leverage the capabilities of quantum computers to find optimal solutions. Initial results using piecewise linear approximation indicate promising outcomes. Further research will focus on the QUBO formulation, implementing the approach on quantum hardware, and assessing its performance.