A practical, precise method for frequency tracking and phasor estimation
Comprehensive analysis of discrete Fourier transform (DFT) error is given in this paper, including why it is accurate when used in the case of synchronous sampling and how error rises when sampling frequency does not synchronized to signal frequency. Simple but precise expressions of phase angle err...
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| Veröffentlicht in: | IEEE transactions on power delivery 2004-10, Vol.19 (4), p.1547-1552 |
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| container_title | IEEE transactions on power delivery |
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| creator | Wang, M. Sun, Y. |
| description | Comprehensive analysis of discrete Fourier transform (DFT) error is given in this paper, including why it is accurate when used in the case of synchronous sampling and how error rises when sampling frequency does not synchronized to signal frequency. Simple but precise expressions of phase angle error and amplitude error are given. Practical formulas to calculate the true phase angle and amplitude are presented. The formulas are very simple and precise. Based on the formula to calculate true phase angle, a new frequency tracking method is developed. The proposed method can be calculated recursively. And, with notable accuracy improvement, the calculation burden is little more than the traditional DFT method. Also, an adaptive method to suppress the effect of harmonics is presented, which adds very little calculation burden with satisfying performance. The most distinguished feature of the proposed method is that it is not only precise, but also simple. Some examples are given to demonstrate the feasibility, precision, simpleness and robustness of the proposed method. |
| doi_str_mv | 10.1109/TPWRD.2003.822544 |
| format | Article |
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Simple but precise expressions of phase angle error and amplitude error are given. Practical formulas to calculate the true phase angle and amplitude are presented. The formulas are very simple and precise. Based on the formula to calculate true phase angle, a new frequency tracking method is developed. The proposed method can be calculated recursively. And, with notable accuracy improvement, the calculation burden is little more than the traditional DFT method. Also, an adaptive method to suppress the effect of harmonics is presented, which adds very little calculation burden with satisfying performance. The most distinguished feature of the proposed method is that it is not only precise, but also simple. Some examples are given to demonstrate the feasibility, precision, simpleness and robustness of the proposed method.</description><identifier>ISSN: 0885-8977</identifier><identifier>EISSN: 1937-4208</identifier><identifier>DOI: 10.1109/TPWRD.2003.822544</identifier><identifier>CODEN: ITPDE5</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Accuracy ; Amplitudes ; Applied sciences ; Discrete Fourier transforms ; Electrical engineering. Electrical power engineering ; Electrical power engineering ; Error analysis ; Errors ; Exact sciences and technology ; Fourier transforms ; Frequency estimation ; Frequency synchronization ; Mathematical analysis ; Operation. Load control. 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Simple but precise expressions of phase angle error and amplitude error are given. Practical formulas to calculate the true phase angle and amplitude are presented. The formulas are very simple and precise. Based on the formula to calculate true phase angle, a new frequency tracking method is developed. The proposed method can be calculated recursively. And, with notable accuracy improvement, the calculation burden is little more than the traditional DFT method. Also, an adaptive method to suppress the effect of harmonics is presented, which adds very little calculation burden with satisfying performance. The most distinguished feature of the proposed method is that it is not only precise, but also simple. Some examples are given to demonstrate the feasibility, precision, simpleness and robustness of the proposed method.</description><subject>Accuracy</subject><subject>Amplitudes</subject><subject>Applied sciences</subject><subject>Discrete Fourier transforms</subject><subject>Electrical engineering. Electrical power engineering</subject><subject>Electrical power engineering</subject><subject>Error analysis</subject><subject>Errors</subject><subject>Exact sciences and technology</subject><subject>Fourier transforms</subject><subject>Frequency estimation</subject><subject>Frequency synchronization</subject><subject>Mathematical analysis</subject><subject>Operation. Load control. Reliability</subject><subject>Phase estimation</subject><subject>Power networks and lines</subject><subject>Robustness</subject><subject>Sampling</subject><subject>Sampling methods</subject><subject>Signal analysis</subject><subject>Sun</subject><subject>Tracking</subject><issn>0885-8977</issn><issn>1937-4208</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNp9kU1LAzEQhoMoWKs_QLwsguLBrZOP3UyOpX5UKCiieAxpktWt7W5Ntof-e1MrCB6EQDKZ5x1m5iXkmMKAUlBXz4-vT9cDBsAHyFghxA7pUcVlLhjgLukBYpGjknKfHMQ4AwABCnpkPMyWwdiutmZ-mZ7e1tFnC9-9ty6r2pBVwX-ufGPXWZe4j7p5y0zjsuW7iSnrY1cvTFe3zSHZq8w8-qOfu09ebm-eR-N88nB3PxpOcisUdrkD4SsquZoioFSlEZWjaiqcwcKimkrr0wFVCO6kcgZSaFX6EMIBc8j75Hxbdxna1Fjs9KKO1s_npvHtKmqGBUUUG_DiX5CWkrJSypIl9PQPOmtXoUljaESOjEtVJIhuIRvaGIOv9DKk2cNaU9AbD_S3B3rjgd56kDRnP4VNTAuugmnSfn-FJZVYSJq4ky1Xe-9_05wrTgX_Akxsjvw</recordid><startdate>20041001</startdate><enddate>20041001</enddate><creator>Wang, M.</creator><creator>Sun, Y.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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Electrical power engineering</topic><topic>Electrical power engineering</topic><topic>Error analysis</topic><topic>Errors</topic><topic>Exact sciences and technology</topic><topic>Fourier transforms</topic><topic>Frequency estimation</topic><topic>Frequency synchronization</topic><topic>Mathematical analysis</topic><topic>Operation. Load control. Reliability</topic><topic>Phase estimation</topic><topic>Power networks and lines</topic><topic>Robustness</topic><topic>Sampling</topic><topic>Sampling methods</topic><topic>Signal analysis</topic><topic>Sun</topic><topic>Tracking</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wang, M.</creatorcontrib><creatorcontrib>Sun, Y.</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><jtitle>IEEE transactions on power delivery</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Wang, M.</au><au>Sun, Y.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A practical, precise method for frequency tracking and phasor estimation</atitle><jtitle>IEEE transactions on power delivery</jtitle><stitle>TPWRD</stitle><date>2004-10-01</date><risdate>2004</risdate><volume>19</volume><issue>4</issue><spage>1547</spage><epage>1552</epage><pages>1547-1552</pages><issn>0885-8977</issn><eissn>1937-4208</eissn><coden>ITPDE5</coden><abstract>Comprehensive analysis of discrete Fourier transform (DFT) error is given in this paper, including why it is accurate when used in the case of synchronous sampling and how error rises when sampling frequency does not synchronized to signal frequency. Simple but precise expressions of phase angle error and amplitude error are given. Practical formulas to calculate the true phase angle and amplitude are presented. The formulas are very simple and precise. Based on the formula to calculate true phase angle, a new frequency tracking method is developed. The proposed method can be calculated recursively. And, with notable accuracy improvement, the calculation burden is little more than the traditional DFT method. Also, an adaptive method to suppress the effect of harmonics is presented, which adds very little calculation burden with satisfying performance. The most distinguished feature of the proposed method is that it is not only precise, but also simple. Some examples are given to demonstrate the feasibility, precision, simpleness and robustness of the proposed method.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TPWRD.2003.822544</doi><tpages>6</tpages></addata></record> |
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| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | Accuracy Amplitudes Applied sciences Discrete Fourier transforms Electrical engineering. Electrical power engineering Electrical power engineering Error analysis Errors Exact sciences and technology Fourier transforms Frequency estimation Frequency synchronization Mathematical analysis Operation. Load control. Reliability Phase estimation Power networks and lines Robustness Sampling Sampling methods Signal analysis Sun Tracking |
| title | A practical, precise method for frequency tracking and phasor estimation |
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