Load Flow Analysis of a Power System Network in the Presence of Uncertainty using Complex Affine Arithmetic

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Yoseph Mekonnen Abebea 1,* P. Mallikarjuna Rao 1 M. Gopichand Nak 1

1. Dept. of Electrical Eng., College of Engineering (A), Andhra University, Visakhapatnam-530003, India

* Corresponding author.

DOI: https://doi.org/10.5815/ijem.2017.05.05

Received: 2 May 2017 / Revised: 12 May 2017 / Accepted: 17 May 2017 / Published: 8 Sep. 2017

Index Terms

Complex Affine Arithmetic, Monte Carlo Approach, Transmission Line, Renewable Energy Sources, Uncertainty


The depletion of fossil fuel is driving the world towards the application of renewable energy sources. However, their intermittent nature, in addition to load variation and transmission line sag-tension change due to temperature, is a great deal of problems for reliable power delivery. Without a reliable power delivery, power generation is just a waste of resources. A reliable power delivery can be achieved when the best and the worst case steady state information of a power system network is known to plan and control accordingly. If a system is affected by the presence of uncertainty, a deterministic load flow analysis fails to provide the worst-case load flow result in a single analysis. As a result, a load flow analysis considering the presence of uncertainty is mandatory. On this paper, a novel complex affine arithmetic (AA) based load flow analysis in the presence of generation and load uncertainties is proposed. The proposed approach is tested on an IEEE bus systems and compared with Monte Carlo approach. The proposed approach convergence faster than the Monte Carlo based method and it is slightly conservative.

Cite This Paper

Yoseph Mekonnen Abebe, P. Mallikarjuna Rao, M. Gopichand Nak,"Load Flow Analysis of a Power System Network in the Presence of Uncertainty using Complex Affine Arithmetic", International Journal of Engineering and Manufacturing(IJEM), Vol.7, No.5, pp.48-64, 2017. DOI: 10.5815/ijem.2017.05.05


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