Comparative Study of the Accuracy of Analytical Inductance Formulae for Square Planar Spiral Inductors
In the design of radio frequency (RF) microelectronic integrated circuits (IC’s) and of antennas for short-wave radio frequency identification (RFID) and telemetry systems, planar spiral coils are important components. Many approximate analytical formulae for calculating the inductance of such coils...
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| Format: | Article |
| Language: | English |
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Advanced Electromagnetics
2018-09-01
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| Series: | Advanced Electromagnetics |
| Subjects: | |
| Online Access: | https://aemjournal.org/index.php/AEM/article/view/862 |
| _version_ | 1818381328085680128 |
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| author | H. A. Aebischer |
| author_facet | H. A. Aebischer |
| author_sort | H. A. Aebischer |
| collection | DOAJ |
| description | In the design of radio frequency (RF) microelectronic integrated circuits (IC’s) and of antennas for short-wave radio frequency identification (RFID) and telemetry systems, planar spiral coils are important components. Many approximate analytical formulae for calculating the inductance of such coils can be found in the literature. They can simplify the problem of designing inductors to a predefined inductance considerably. But the error statistics given by different authors cannot be compared because they are based on different or unknown domains of definition. Hence, it is not possible to decide which formula is best in a given case by merely studying the literature. This paper compares the maximum relative errors of six of some of the most cited formulae in the literature. To all formulae, the same domains of definition are applied. Each of them spans all four dimensions of the parameter space. Precise inductances are obtained numerically with the help of the free scientific and industrial standard software FastHenry2 and used as reference values to calculate the errors of the formulae. It has been found that the alleged maximum errors reported by some authors are far too optimistic. Only two formulae feature small enough errors to be useful in circuit design. The method and the domains of definition applied in the present study may also prove useful for the assessment of future formulae. |
| first_indexed | 2024-12-14T02:32:50Z |
| format | Article |
| id | doaj.art-6293ae4c22994216824b894d671939c2 |
| institution | Directory Open Access Journal |
| issn | 2119-0275 |
| language | English |
| last_indexed | 2024-12-14T02:32:50Z |
| publishDate | 2018-09-01 |
| publisher | Advanced Electromagnetics |
| record_format | Article |
| series | Advanced Electromagnetics |
| spelling | doaj.art-6293ae4c22994216824b894d671939c22022-12-21T23:20:12ZengAdvanced ElectromagneticsAdvanced Electromagnetics2119-02752018-09-0175374810.7716/aem.v7i5.862862Comparative Study of the Accuracy of Analytical Inductance Formulae for Square Planar Spiral InductorsH. A. Aebischer0LEGIC Identsystems AGIn the design of radio frequency (RF) microelectronic integrated circuits (IC’s) and of antennas for short-wave radio frequency identification (RFID) and telemetry systems, planar spiral coils are important components. Many approximate analytical formulae for calculating the inductance of such coils can be found in the literature. They can simplify the problem of designing inductors to a predefined inductance considerably. But the error statistics given by different authors cannot be compared because they are based on different or unknown domains of definition. Hence, it is not possible to decide which formula is best in a given case by merely studying the literature. This paper compares the maximum relative errors of six of some of the most cited formulae in the literature. To all formulae, the same domains of definition are applied. Each of them spans all four dimensions of the parameter space. Precise inductances are obtained numerically with the help of the free scientific and industrial standard software FastHenry2 and used as reference values to calculate the errors of the formulae. It has been found that the alleged maximum errors reported by some authors are far too optimistic. Only two formulae feature small enough errors to be useful in circuit design. The method and the domains of definition applied in the present study may also prove useful for the assessment of future formulae.https://aemjournal.org/index.php/AEM/article/view/862analytical inductance formulaesquare planar spiral inductorserror analysiscomparative study |
| spellingShingle | H. A. Aebischer Comparative Study of the Accuracy of Analytical Inductance Formulae for Square Planar Spiral Inductors Advanced Electromagnetics analytical inductance formulae square planar spiral inductors error analysis comparative study |
| title | Comparative Study of the Accuracy of Analytical Inductance Formulae for Square Planar Spiral Inductors |
| title_full | Comparative Study of the Accuracy of Analytical Inductance Formulae for Square Planar Spiral Inductors |
| title_fullStr | Comparative Study of the Accuracy of Analytical Inductance Formulae for Square Planar Spiral Inductors |
| title_full_unstemmed | Comparative Study of the Accuracy of Analytical Inductance Formulae for Square Planar Spiral Inductors |
| title_short | Comparative Study of the Accuracy of Analytical Inductance Formulae for Square Planar Spiral Inductors |
| title_sort | comparative study of the accuracy of analytical inductance formulae for square planar spiral inductors |
| topic | analytical inductance formulae square planar spiral inductors error analysis comparative study |
| url | https://aemjournal.org/index.php/AEM/article/view/862 |
| work_keys_str_mv | AT haaebischer comparativestudyoftheaccuracyofanalyticalinductanceformulaeforsquareplanarspiralinductors |