Performance limits for the amplitude estimation of power system harmonics & interharmonics

Date

2020-10-01

Author

Altintasi, Cagri
Orguner, Umut
Salor, Ozgul

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

124
views

0
downloads

In this study, the problem of amplitude estimation of (inter)harmonics is investigated. Specifically performance limits are provided for the accuracy of unbiased amplitude estimation algorithms and for the analysis window size required by an algorithm for achieving and maintaining a desired accuracy. Cramer-Rao lower bound (CRLB) is used for the bounds on the accuracy. Unlike the existing literature concentrating on the asymptotic behaviour of the bounds, the behaviour of CRLBs for small window sizes and close frequency components is investigated. In particular, the (worst) amplitude CRLBs are shown to be inversely proportional to the squared frequency differences for small analysis window sizes and close frequency components. For the bounds on analysis window size, the concept of convergence-time is defined and illustrated. The convergence-times of unbiased amplitude estimation algorithms are then lower bounded by establishing its relationship with CRLBs. The results and ideas are illustrated using both synthetic signals and field data collected from a power grid. Numerical results show that the proposed performance limits are tight and have strong prediction capabilities for amplitude estimation algorithms having prior knowledge about the existing frequencies in the signal.

Subject Keywords

Control and Systems Engineering, Electrical and Electronic Engineering, Energy Engineering and Power Technology

URI

https://hdl.handle.net/11511/51661

Journal

IET GENERATION TRANSMISSION & DISTRIBUTION

DOI

https://doi.org/10.1049/iet-gtd.2020.0080

Collections

Department of Electrical and Electronics Engineering, Article

Suggestions

OpenMETU
Core

Limitations of three-phase Buckley-Leverett theory Akın, Serhat (Informa UK Limited, 2005-07-01) The broad objective of this study is to determine the limitations of the three-phase relative permeability estimation technique by using the experimental approach. In order to achieve this goal, three-phase relative permeability experiments were conducted on a Berea sandstone core plug by using brine, hexane and nitrogen gas. An unsteady-state analytical technique and a numerical technique where a black oil simulator was coupled with a global optimization algorithm in a least squares manner was used to comp...
Quantitative measure of observability for linear stochastic systems Subasi, Yuksel; Demirekler, Mübeccel (Elsevier BV, 2014-06-01) In this study we define a new observability measure for stochastic systems: the mutual information between the state sequence and the corresponding measurement sequence for a given time horizon. Although the definition is given for a general system representation, the paper focuses on the linear time invariant Gaussian case. Some basic analytical results are derived for this special case. The measure is extended to the observability of a subspace of the state space, specifically an individual state and/or t...
An online sequential algorithm for the estimation of transition probabilities forjump Markov linear systems Orguner, Umut (Elsevier BV, 2006-10-01) This paper describes a new method to estimate the transition probabilities associated with a jump Markov linear system. The new algorithm uses stochastic approximation type recursions to minimize the Kullback-Leibler divergence between the likelihood function of the transition probabilities and the true likelihood function. Since the calculation of the likelihood function of the transition probabilities is impossible, an incomplete data paradigm, which has been previously applied to a similar problem for hi...
Spectral correction-based method for interharmonics analysis of power signals with fundamental frequency deviation Salor, Oezguel (Elsevier BV, 2009-07-01) In this paper, a spectral correction-based algorithm for interharmonic computation is proposed for especially highly fluctuating fundamental frequency cases in the power system. It has been observed and reported that fluctuating demands of some loads such as arc furnaces, or disturbances and subsequent system transients make the fundamental frequency of the power system deviate and this causes non-existing interharmonics to appear in the spectrum due to grid-effect when a standard window length is used for ...
Experimental results on adaptive output feedback control using a laboratory model helicopter Kutay, Ali Türker; Idan, M; Hovakimyan, N (Institute of Electrical and Electronics Engineers (IEEE), 2005-03-01) Experimental results are presented that illustrate a recently developed method for adaptive output feedback control. The method permits adaptation to both parametric uncertainty and unmodeled dynamics, and incorporates a novel approach that permits adaptation under known actuator characteristics including actuator dynamics and saturation. Only knowledge of the relative degree of the controlled system within the bandwidth of the control design is required. The controller design was tested by controlling the ...

Citation Formats

C. Altintasi, U. Orguner, and O. Salor, “Performance limits for the amplitude estimation of power system harmonics & interharmonics,” IET GENERATION TRANSMISSION & DISTRIBUTION, pp. 4108–4121, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51661.