volume | PIER Journals

Abstract

An active circuit is described that exhibits the equivalent reactance of a negative inductor. In contrast with previous techniques based on negative impedance converters, the negative inductance is produced by generating an opposing time-varying magnetic flux. The new circuit also enables the inductance to be electronically varied between negative and positive values, can enhance the Q, and defaults to a conventional positive inductor in the event of active component failure. The performance of a prototype with an inductance of -0.344 mH and operating over the frequency range 1-40 kHz is described.

1. Foster, R. M., "A reactance theorem," Bell Syst. Tech. J., Vol. 3, 259-267, 1924. Google Scholar

2. Merrill, J. L., "Theory of the negative impedance converter," Bell Sys. Tech. J., Vol. 30, 88-109. Google Scholar

3. Linvill, J. G., "Transistor negative impedance converters," Proc. IRE, Vol. 41, 725-729, Jun. 1953.
doi:10.1109/JRPROC.1953.274251 Google Scholar

4. Kuo, C. K. and K. L. Su, "Some new four terminal NIC circuits," IEEE Proc. Circuit Theory, 379-381, Aug. 1969. Google Scholar

5. Sussman-Fort, S. E., "Gyrator-based biquad filters and negative impedance converters for microwaves," Int. J. RF Microw. Comput.-aided Engr., (Special Issue on Net. Synthesis Method. Microw. Dev.), Vol. 8, No. 3, 86-101, Mar. 1998. Google Scholar

6. Antoniou, A., "Floating negative impedance converters," IEEE Trans. Circuit Theory, Vol. 19, No. 2, 209-212, Mar. 1972.
doi:10.1109/TCT.1972.1083441 Google Scholar

7. Sussman-Fort, S. E. and R. M. Rudish, "Non-foster impedance matching of electrically-small antennas," IEEE Trans. on Ant. and Prop., Vol. 57, No. 8, 2230-2241, Aug. 2009.
doi:10.1109/TAP.2009.2024494 Google Scholar

8. Yuan, Y., B.-I. Popa, and S. A. Cummer, "Zero loss magnetic metamaterials using powered active unit cells," Optics Express, Vol. 17, No. 8, 16135-16143, Aug. 31, 2009.
doi:10.1364/OE.17.016135 Google Scholar

9. Pehlke, D. R., A. Burstein, and M. F. Chang, "Extremely high-Q tunable inductor for Si-based RF integrated circuit applications," Proc. IEDM, 63-66, Washington, D.C., Dec. 1997. Google Scholar

10. Georgescu, B., H. Pekau, J. Haslett, and J. McRory, "Tunable coupled inductor Q-enhancement for parallel resonant LC tanks," IEEE Trans. Circuits and Systems - II: Analog and Digital Sig. Proc., Vol. 50, No. 10, 705-713, Oct. 2003.
doi:10.1109/TCSII.2003.818366 Google Scholar

11. Saha, P. K., A. Dutta, T. K. Bhattacharyya, and A. Patra, "Effects of active Q enhancement on oscillator phase noise: An analysis," Analog Integr. Circ. Sig. Process, Vol. 52, 99-107, 2007.
doi:10.1007/s10470-007-9102-4 Google Scholar

12. Cusmai, G., M. Repossi, G. Albasini, A. Mazzanti, and F. Svelto, "A magnetically tuned quadrature oscillator," IEEE Journal of Solid-State Circuits, Vol. 42, No. 12, 2870-2877, 2007.
doi:10.1109/JSSC.2007.908727 Google Scholar

13. Yue, C. P. and S. S. Wong, "On-chip spiral inductors with patterned ground shields for Si-based RF IC's," IEEE Journal of Solid State Circuits, Vol. 33, No. 5, 743-752, May 1998.
doi:10.1109/4.668989 Google Scholar

14. Decanis, U., A. Ghilioni, E. Monico, A. Mazzanti, and F. Svelto, "A low-noise quadrature VCO based on magnetically coupled resonators and a wideband frequency divider at millimeter waves," IEEE Journal of Solid-State Circuits, Vol. 46, No. 12, 2943-2955, Dec. 2011.
doi:10.1109/JSSC.2011.2162468 Google Scholar

15. Groves, R. A. and D. K. Jadus, "Switched inductor/varactor tuning circuit having a variable integrated inductor,", US Patent No. 6,549,096, Apr. 15, 2003. Google Scholar

16. Rais-Zadeh, M., P. A. Kohl, and F. Ayazi, "MEMS switched tunable inductors," Journal of Microelectromechanical Systems, Vol. 17, No. 1, 78-84, 2008.
doi:10.1109/JMEMS.2007.910257 Google Scholar

17. Demirkan, M., S. P. Bruss, and R. R. Spencer, "Design of wide tuning-range CMOS VCOs using switched coupled-inductors," IEEE Journal of Solid-State Circuits, Vol. 43, No. 5, 1156-1163, 2008.
doi:10.1109/JSSC.2008.920346 Google Scholar

18. Kossel, M., T. Morf, J. Weiss, P. Buchmann, C. Menolfi, T. Toifl, and M. L. Schmatz, "LC PLL with 1.2-octave locking range based on mutual-inductance switching in 45-nm SOI CMOS," IEEE Journal of Solid-State Circuits, Vol. 44, No. 2, 436-449, 2009.
doi:10.1109/JSSC.2008.2011041 Google Scholar

19. Wen, C.-Y., E. K. Chua, R. Zhao, T. X. Chong, J. A. Bain, and T. E. Schlesinger, "A phase-change via-reconfigurable on-chip inductor," Proc. 2010 IEEE International Electron Devices Meeting (IEDM), 10.3.1-10.3.4, Dec. 6-8, 2010. Google Scholar

20. Salvia, J., J. A. Bain, and C. P. Yue, "Tunable on-chip inductors up to 5 GHz using patterned permalloy laminations," IEEE International Electronic Devices Meeting (IEDM) Technical Digest, 943-946, Dec. 2005. Google Scholar

21. Ning, N., X. P. Li, J. Fan, W. C. Ng, Y. P. Xu, X. Qian, and H. L. Seet, "A tunable magnetic inductor," IEEE Trans. Magnetics, Vol. 42, No. 5, 1585-1590, May 2006.
doi:10.1109/TMAG.2006.870651 Google Scholar

Professor Daniel D. Stancil