Semi-Implicit Continuous Newton Method for Robust and Efficient Power Flow Analysis

In this paper, we propose a new method for solving power flow problems, which are important in electrical engineering. The traditional methods for solving these problems can be unstable and computationally expensive, especially when dealing with large systems. Our proposed method, called Semi-Implicit Continuous Newton Method (SICNM), combines the advantages of continuous and implicit methods to solve power flow problems more robustly and efficiently.
To explain this in simpler terms, imagine a person trying to balance a seesaw with many people on it. The traditional methods for solving power flow problems are like using a single rope to balance the seesaw. However, this can be challenging when there are many people on the seesaw, and the rope may break under the weight of everyone. Our SICNM method is like adding more ropes to the seesaw, which makes it easier to balance and more stable.
The proposed method uses a semi-implicit approach, which means that it only considers some of the terms in the original equation at a time. This makes the method faster and more efficient than traditional methods. Additionally, SICNM uses a continuous Newton method, which means that it solves the equations continuously instead of in small steps. This results in a more accurate solution and less computational burden.
We tested our proposed method using several examples, and the results showed that it is more robust and efficient than traditional methods. Our method can handle larger systems and provide better solutions with fewer computational resources.
In summary, SICNM is a new method for solving power flow problems that combines the advantages of continuous and implicit methods. It is more robust and efficient than traditional methods and can handle larger systems with ease.