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Energy Systems

, Volume 4, Issue 3, pp 239–266 | Cite as

Economic and environmental analysis of photovoltaic energy systems via robust optimization

  • Shimpei Okido
  • Akiko Takeda
Original Paper

Abstract

This paper deals with the problem of determining the optimal size of a residential grid-connected photovoltaic system to meet a certain \(\mathrm{CO }_2\) reduction target at a minimum cost. Ren et al. proposed a novel approach using a simple linear programming that minimizes the total energy costs for residential buildings in Japan. However, their approach is based on a specific net tariff system that was used in Japan until October 2009, and it is not applicable to Japan’s current net tariff system. We propose a modified approach for Japan’s current tariff system. The mathematical formulation is general in the sense that it includes formulations for other tariff systems as special cases. Therefore, the approach is applicable not only to the Japanese system but also to other tariff systems (e.g., gross feed-in tariff system). We further extend this approach by using a robust optimization technique to cope with the uncertainty in photovoltaic power generation caused by weather variability. Numerical experiments show the minimum size requirements of solar photovoltaic systems for meeting \(\mathrm{CO }_2\) reduction targets and their economic costs in nominal and robust cases.

Keywords

Photovoltaic energy system Optimal size CO\(_2\) reduction target Robust optimization Irradiation uncertainty 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.NEC Networks and System Integration CorporationTokyoJapan
  2. 2.Department of Administration EngineeringKeio UniversityYokohamaJapan

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