Pareto-dominance based adaptive multi-objective optimization for hydrothermal coordinated scheduling with environmental emission

Since hydrothermal optimal operation has been a headache in the energy and electricity field due to its coupled and complex non-convex characteristics, this paper proposes an adaptive second mutation based multi-objective differential evolution (ASMMODE) for hydrothermal coordinated scheduling problems, optimal assignments of hydro output and thermal output are taken to reduce thermal cost and environment pollution simultaneously. Firstly, an adaptive second mutation mechanism is proposed to enhance population diversity to avoid premature problem, and entropy density based distribution control strategy is improved to properly control the diversity distribution of obtained Pareto front, which can provide proper candidate optimal scheme for decision-makers. Followed by taking consideration of complex and coupled constraints, coordinated constraint handling technique is proposed to proper handle system load balance, which can coordinate hydro output and thermal output in each time period. Furthermore, those above improvements are testified on benchmark problems and hydrothermal system, according to comparisons and analysis on statistical results, it reveals that the proposed optimization method can be a viable way for solving hydrothermal optimization problems.