Estimation of the sinusoidal oscillation parameters in the adaptive optics system based on the example of the photovoltaic system

Dariusz Kania

doi:10.1117/12.2178591

1 May 2015 Estimation of the sinusoidal oscillation parameters in the adaptive optics system based on the example of the photovoltaic system

Dariusz Kania

Author Affiliations +

Proceedings Volume 9516, Integrated Optics: Physics and Simulations II; 951614 (2015) https://doi.org/10.1117/12.2178591
Event: SPIE Optics + Optoelectronics, 2015, Prague, Czech Republic

Abstract

In adaptive optics systems, there is a problem of a sinusoidal oscillations rejection. This paper presents the estimation method that can be used to reject these oscillations on the example of the photovoltaic system. In such a system, photovoltaic panels generate the DC signal converted by the inverter to the AC signal with specified parameters. This paper focuses on the fast and accurate estimation of these parameters taking into account the presence of harmonics in the sinusoidal signal. The estimation method is based on using maximum decay sidelobes windows and the Fast Fourier Transform procedure. In reality, the AC signal is not a pure sinusoid and it is often distorted in a deterministic manner by harmonics, and in a random manner by white, “colored” or quantization noise. The estimation error depends on the systematic error, i.e. the error caused by the quantization noise and the error caused by harmonic components. Several parameters determine which error component is dominant in the estimation results. The value of the error caused by harmonic components depends mainly on the distance between the harmonic component and the fundamental component in a frequency domain and the THD (Total Harmonic Distortion) ratio of the signal. The level of this maximum relative error is approximately 10^-3 for the tested signal with THD=50%. It is important to use a filter that reduces unwanted harmonics before the data processing. The information provided in this paper can be used to determine the approximate level of estimation error before starting the estimation process.

Citation Download Citation

Dariusz Kania "Estimation of the sinusoidal oscillation parameters in the adaptive optics system based on the example of the photovoltaic system", Proc. SPIE 9516, Integrated Optics: Physics and Simulations II, 951614 (1 May 2015); https://doi.org/10.1117/12.2178591

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