Physics

Control engineering

Nonlinear system

Iterative method

Decoupling (probability)

MATLAB

Mathematics

Operating system

Algorithm

Mathematical optimization

Engineering

Power (physics)

Computer science

Quantum mechanics

Applied mathematics

Electric power system

Power flow

Gauss–Seidel method

Newton's method

IEEE Transactions on Circuits & Systems II Express Briefs

This express brief proposes two new iterative approaches for solving the power flow problem in direct current networks as efficient alternatives to the classical Gauss-Seidel and Newton-Raphson methods. The first approach works with the set of nonlinear equations by rearranging them into a conventional fixed point form, generating a successive approximation methodology. The second approach is based on Taylors series expansion method by using a set of decoupling equations to linearize the problem around the desired operating point; these linearized equations are recursively solved until reach the solution of the power flow problem with minimum error. These two approaches are comparable to the classical Gauss-Seidel method and the classical Newton-Raphson method, respectively. Simulation results show that the proposed approaches have a better performance in terms of solution precision and computational requirements. All the simulations were conducted via MATLAB software by using its programming interface.

Power Flow Analysis in DC Grids: Two Alternative Numerical Methods