Research On Nonlinear Mathematical Models in Power Load Distribution and Their Engineering Applications

This paper focuses on the field of power load distribution, and devotes itself to the study of nonlinear mathematical model and its application in power engineering. By systematically analyzing the factors that affect the distribution of power load, such as user behavior, characteristics of electrical equipment, time and environment, a nonlinear mathematical model with strong pertinence is constructed. In the solution and verification, the model is trained by iterative method and the actual monitoring data. The results show that the model shows high accuracy in forecasting power load distribution, with an average absolute error (MAE) of 23.5kW and an average absolute percentage error (MAPE) of 3.15%. In the application of power engineering, this model helps to rationally arrange power supply and power grid in power system planning, realize the optimal utilization of energy in power dispatching, and ensure that the equipment adapts to the load demand when selecting power equipment. To sum up, the model is of great significance to improve the operation efficiency and reliability of power system.