Study on the Operation Analysis of a Compound Energy System using Orthogonal Array-GA Hybrid Analyzing Method

  • Seizi WATANABE
  • Shin’ya OBARA
Conference paper


Generally, the output characteristics of the energy apparatus are nonlinear. Furthermore, because multiple power sources are used in microgrids, many variables must be considered to optimize the system. Although the operation of energy systems has been optimized before, nonlinear problems with many variables have been approximated by linear formulas with mixed-integer-programming. Moreover, the conjugate gradient method and genetic algorithm (GA) were also used. In this study, a method of searching for the optimal solution with GA is reported. Any method for obtaining the optimal solution will require a longer time if the number of variables is increased or a higher accuracy is required in the analysis. Otherwise, only quasi-optimal solutions and unsatisfactory solutions of the energy balance equations are obtained. Therefore, orthogonal array used to experimental design are employed in this presentation to reduce the complexity of the problem to plan the optimal operation method of a compound energy system. The initial values of design parameters of the system near the optimum operation method are determined using result of orthogonal array experiment and the factorial effect figure. Next, the optimal solution is obtained by introducing this result as initial values of GA. An example is given in this presentation to explain the orthogonal array (L18)-GA hybrid analyzing method. The proposed analysis method can be utilized to improve the design parameters and the accuracy of the performance analysis. The trial number of times of GA largely decreases. By analysis results, the orthogonal array-GA hybrid analyzing method needs some technique for the setting of each design parameters. This method is available for improvement of the analysis precision by the increase of the number of gene models and the increase of the design parameters. Therefore, proposed analyzing method was overcame weak points of the optimal calculation of conventional simple GA.


Orthogonal array Genetic algorithm Microgrid Compound energy system Operating optimization 


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Copyright information

© Springer Science+Business Media Dordrecht 2012

Authors and Affiliations

  • Seizi WATANABE
    • 1
  • Shin’ya OBARA
    • 2
  1. 1.Kushiro National College of TechnologyKushiroJapan
  2. 2.Kitami Institute of TechnologyKitamiJapan

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