In the transmission and distribution system, the high-energy consumption of the low-voltage circuit breaker easily leads to the decrease of the distribution efficiency of the system. Therefore, on the basis of calculating the internal power consumption of circuit breakers, combining with several factors affecting the energy consumption of circuit breakers, the low-energy consumption mathematical model of circuit breakers is built, and an improved whale optimization algorithm (LA-WOA) is proposed for optimization. The Lévy flight mechanism and the adaptive weight factor are introduced into the traditional whale algorithm to enhance the global and local search ability of the algorithm and also improve the convergence speed and accuracy of the algorithm. The test function simulation experiment proves that the improved algorithm has better performance than other algorithms. Furthermore, the improved LA-WOA algorithm is used to iteratively solve the low-energy consumption mathematical model of the circuit breaker. The experimental results show that the improved algorithm obtains a lower-energy consumption value, which can effectively improve the design efficiency and accuracy of the circuit breaker.

The flower pollination algorithm is a new meta-heuristic algorithm that simulates the pollination behavior of flowers in nature. Aiming at the problem that the basic flower pollination algorithm is easy to fall into the local optimum and the later convergence speed is slow, the "adaptive-mutation catfish" flower pollination algorithm is proposed, Introduce the adaptive step size in the global pollination stage, introduce the mutation strategy and catfish effect in the local pollination stage, and use the classic test function to analyze the performance of the improved algorithm. The improved flower pollination algorithm is applied to the high breaking and comprehensive optimization design of the circuit breaker, the mathematical model of the high breaking and comprehensive optimization of the circuit breaker is constructed, and the optimal design method of the circuit breaker based on the flower pollination algorithm is given. The results show that the circuit breaker optimization design method based on flower pollination algorithm is feasible, and the improved flower pollination algorithm is effective.