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Power system investment planning based on double layer boltzmann machine method

2018 , Shamshul Bahar Yaakob

Quadratic programming problems arise in many scientific and engineering applications for a long time. Meta-heuristic methods have been employed so as to obtain optimal solutions for the problems such as artificial neural network, genetic algorithm, simulated annealing, ant colony optimization and others. Great progress has been made in research on artificial neural networks in recent decades. Artificial neural networks have been applied to many fields such as pattern recognition, forecasting, data mining, multiple objective decision making and combinatorial optimization problems. Recently, power-supply failures have caused major social losses. Therefore, power supply systems need to be highly reliable. The objective of this research is to present a significant and effective method of determining a productive investment to protect a power supply system from damage. Previous studies have examined the utility and social impact of investment in distributed generation. In this research, an artificial neural network has been applied to solve the portfolio selection problem efficiently. The reliability and risks of each of the units are evaluated with a variance-covariance matrix, and the effects and expenses of replacement are analysed. The mean-variance analysis is formulated as a mathematical program with the following two objectives which are to minimize the risk and to maximize the expected return. Finally, a structural learning model of a mutual connection neural network (double layered Boltzmann machine) is used to solve problems defined by mixed-integer quadratic programming, and is employed in the mean-variance analysis. This method is applied to a power system network in the Tokyo Metropolitan area. As a result, it was shown that the structural learning can provide an alternative solution for decision makers to select the best solution from their respective point of view, as a numerical example shows. The simulation also showed that computational cost is significantly decreased compared with a conventional Boltzmann machine. The obtained results show that the selection, investment expense rate to units and reduced computation time can be prolonged to increase cost savings.

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Publication

Investment planning problem in power system using Artificial Neural Network

2018-12 , Shamshul Bahar Yaakob , Siti Hajar Mohd Tahar , Amran Ahmed

This paper presents a model to solve Distribution Expansion Planning (DEP) problem. An effective method is proposed to determine an optimal solution for strategic investment planning in distribution system. The proposed method will be formulated by using meanvariance analysis (MVA) approach in the form of mixed-integer quadratic programming problem. Its target is to minimize the risk and maximize the expected return. The proposed method consists of two layers neural networks combining Hopfield network at the upper layer and Boltzmann machine in the lower layer resulting the fast computational time. The originality of the proposed model is it will delete the unit of the lower layer, which is not selected in upper layer in its execution. Then, the lower layer is restructured using the selected units. Due to this feature, the proposed model will improve times and the accuracy of obtained solution. The significance of output from this project is the improvement of computational time and the accurate solution will be obtained. This model might help the decision makers to choose the optimal solution with variety options provided from this proposed method. Therefore, the performance of strategic investment planning in solving DEP problem certainly enhance