An improved NSGA-III for the dynamic economic emission dispatch considering reliability

Abstract

Dynamic economic emission dispatch (DEED) is a fundamental and meaningful issue for a power system from the perspectives of economy and environment protection. In the mean time, reliability is an important criterion for a power system from the perspectives of maintenance and operation. Therefore, we propose an improved NSGA-III (I-NSGA-III) for the dynamic economic emission dispatch considering reliability (DEEDR). I-NSGA-III uses a novel crossover operator based on the normal distribution and an angle-based association strategy. The former produces an offspring by using the normal distribution to fully explore and exploit the solution space while remaining a relatively high population diversity. The latter considers the angle between a normalized objective vector and a reference vector as a criterion for the association operation, which is more direct and efficient to evenly distribute individuals with the same rank in the objective space. According to the indicators hypervolume and coverage in the experiments, I-NSGA-III can achieve a series of nondominated solutions with wider spread, higher diversity and stronger convergence in comparison with the other four multi-objective optimization algorithms (MOAs). Therefore, I-NSGA-III can efficiently coordinate the benefits of fuel cost, pollutant emission and system reliability, and it is a competitive and potential algorithm for DEED and DEEDR.

Keywords

• Improved NSGA-III
• Dynamic economic emission dispatch
• Reliability
• Novel crossover operator
• Angle-based association
• Multi-objective optimization