Load Flow Solution of the Tanzanian Power Network Using Newton-Raphson Method and MATLAB Software

Abstract

Load flow studies are the backbone of power system analysis and design. They are necessary for planning, operation, optimal power flow and economic scheduling and power exchange between utilities. This paper describes modelling procedure and present models of system components used in performing load flow analysis. The developed models are joined together to form a system network representing an approximate Tanzanian power network model. A load flow problem is formulated using the model and a MATLAB program developed using Newton-Raphson algorithm is applied in solving the problem. Simulation results are presented and analysed. The results indicate that the voltage magnitude and voltage phase angle profiles are within the operating limits of the system; it means that the selection of system components and modelling process is appropriate and accurate. The results will form the basis of other critical power system studies of the network in the future such as power system state estimation, optimal power flow and security constrained optimal power flow studies.

Newton-Raphson Algorithm as a Power Utility Tool for Network Stability

“…Consequently, bus injection equations are differentiated with respect to all variables at each bus. Therefore, the power mismatch for each of the buses are evaluated using equations (7) and (8) [2,7].…”

“…The resulting partial differentials from equations (7) and (8) are put in a Jacobian matrix format so that these equations (7) and (8) are representable in matrix vector form as written in equation 9,…”

IEEE 14 Bara Sistemine Bağlanabilecek Maksimum Yük Seviyelerinin Belirlenmesi

“…. +𝑌 𝑖𝑛 𝑉 𝑛 (6)𝑃 𝑖 − 𝑗𝑄 𝑖 = |𝑉 𝑖 | 2 |𝑌 𝑖𝑖 |𝑐𝑜𝑠𝜃 𝑖𝑖 + 𝑗|𝑉 𝑖 | 2 |𝑌 𝑖𝑖 |𝑠𝑖𝑛𝜃 𝑖𝑖 + ∑ |𝑌 𝑖𝑘 |Reel ve sanal kısımlar ayrıldığında güç sisteminde baraya giren veya çıkan aktif güçler ve reaktif güçler elde edilmiş olur[16].…”