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Teaching Power Flow Calculation Using MATLAB

Ningqiang Jiang and Can Huang
Department of Electrical Engineering, Sch. Automation, Nanjing University of Science and Technology, Nanjing, China
Abstract—Power flow calculation is a challenge for students in power system studying. Many of them are confused by the Jacobian matrix used in the Newton-Raphson method. The main difficulty lies in the analysis of the power flow model and the programming of the Jacobian matrix. In this paper, a thorough explanation on the construction of the Jacobian matrix is presented. Based on the matrix operation and symbol manipulation capacity of MATLAB, three approaches of implementation are discussed in detail. In the program, loop operation is eliminated in the iteration by matrix and symbol operation. Programs via these approaches are concise since no element by element construction of the Jacobian matrix is required. Therefore, the opportunity of successful programing is provided for more students. The program via approach 1 is the most efficient in sense of running time, while the load flow equations are more intuitively expressed via approach 2 or 3. The program via approach 3 is the most compact in length, but the details of the Jacobian matrix is concealed. It is preferable to resorting to approach 3, if the load flow result is expected only. And approach 1 is recommanded if we intend to observe the details of iteration, including the Jacobian matrix.
Index Terms—power system analysis, power flow, Matlab

Cite: Ningqiang Jiang and Can Huang, "Teaching Power Flow Calculation Using MATLAB," International Journal of Electronics and Electrical Engineering, Vol. 5, No. 5, pp. 290-296, October 2017. doi: 10.18178/ijeee.5.5.290-296
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