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This is the peer reviewed version of the following article: Clairand, J., Serrano-Guerrero, X., González-Zumba, A. and Escrivá-Escrivá, G. (2022), Techno-Economic Assessment of Renewable Energy-based Microgrids in the Amazon Remote Communities in Ecuador. Energy Technol., 10: 2100746, which has been published in final form at https://doi.org/10.1002/ente.202100746. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving., [EN] Several remote communities have limited electricity access and are mainly dependent on environmentally damaging fossil fuels. The installation of microgrid networks and green energy initiatives are currently addressing this issue. Thus, the techno-economic assessment of a microgrid that comprises photovoltaic arrays, a micro-hydro turbine, and diesel generation is proposed herein. Two scenarios are evaluated considering the inclusion or not of diesel generation. This model is performed in HOMER. The results demonstrate that the best option in economics is to invest in a PV/hydro/diesel microgrid, resulting in an net present cost of 2.33 M$, and a cost of energy of 0.194 $ kWh(-1). Furthermore, to address diesel price uncertainties, a sensitivity analysis is carried out based on three different projected diesel prices.

[EN] In this paper, we discuss stochastic differential-algebraic equations (SDAEs) and the asymptotic stability assessment for such systems via Lyapunov exponents (LEs). We focus on index-1 SDAEs and their reformulation as ordinary stochastic differential equations (SDEs). Via ergodic theory, it is then feasible to analyze the LEs via the random dynamical system generated by the underlying SDEs. Once the existence of well-defined LEs is guaranteed, we proceed to the use of numerical simulation techniques to determine the LEs numerically. Discrete and continuous QR decomposition-based numerical methods are implemented to compute the fundamental solution matrix and to use it in the computation of the LEs. Important computational features of both methods are illustrated via numerical tests. Finally, the methods are applied to two applications from power systems engineering, including the single-machine infinite-bus (SMIB) power system model.