Investigating the Effect of Voltage Controlled Oscillator Delay on the Stability of Phase Lock Loops

  • Saeed Talati Faculty of Electronic Warfare Engineering, Shahid Sattari University of aeronautical Science and Technology
  • Ali Rahmati
  • Hamid Heidari
Keywords: Phase lock loop, delayed systems, oscillator, stability.

Abstract

In this paper, the effects of the delay caused by the frequency change in self-priming locking oscillators are investigated in the phase lock loops. Self-injected locking phenomena in oscillators are used to reduce phase noise and more sustainability. Instead of using an external signal in an intruder lock, part of the output signal itself is returned to the oscillator again. In this case, the time required to restore the circuit after the injection of the external frequency is important, especially when this oscillator is used in the shape of a phase lock loop. This delay has the ability to unstable the phase lock loop. In this paper, the stability requirements for phase locking loops with delayed oscillators are fully investigated and the results are validated by simulation.

Author Biographies

Ali Rahmati

Faculty of Electronic Warfare Engineering, Shahid Sattari University of aeronautical Science and Technology

Hamid Heidari

Faculty of Electronic Warfare Engineering, Shahid Sattari University of aeronautical Science and Technology

References

[1] J. Hu, Q. Hu, B. Wang, Y. Chi, and H. Tang, “Small signal instability of PLL-synchronized type-4 wind turbines connected to high-impedance AC grid during LVRT,” IEEE Trans. Energy Convers., vol. 31, no. 4, pp. 1676–1687, Dec. 2016.
[2] Y. Huang, X. Yuan, J. Hu, and P. Zhou, “Modeling of VSC connected to weak grid for stability analysis of DC-link voltage control,” IEEE J. Emerg. Sel. Topics Power Electron., vol. 3, no. 4, pp. 1193–1204, Dec. 2015.
[3] J. Hu, B. Wang, W. Wang, H. Tang, Y. Chi, and Q. Hu, “Small signal dynamics of DFIG-based wind turbines during riding through symmetrical faults in weak AC grid,” IEEE Trans. Energy Convers., vol. 32, no. 2, pp. 720–730, Jun. 2017.
[4] G. Gurrala and I. Sen, “Synchronizing and damping torques analysis of nonlinear voltage regulators,” IEEE Trans. Power Syst., vol. 26, no. 3, pp. 1175–1185, Aug. 2011.
[5] B. Razavi, “A study of injection locking and pulling in oscillators,” IEEE J. Solid-state circuits, Vol. 39, issue 9, pp. 1415-1424, Sept. 2004.
[6] P. Maffezzoni, “Analysis of Oscillator Injection Locking Through Phase-Domain Impulse-Response,” IEEE Trans. Circuits Syst. I, Reg. Papers, Vol. 55, no. 5, pp. 1297-1305, June 2008.
[7] G. R. Gangasani and P. Kinget, “A time-domain model for predicting the injection locking bandwidth of non-harmonic oscillators,” IEEE Trans. Circuits Syst. II, Exp. Briefs, Vol. 53, no. 10, pp. 1035-1038, Oct. 2006.
[8] M. Tiebout, “A CMOS Direct Injection-Locked Oscillator Topology as High-Frequency Low-Power Frequency Divider,” IEEE J. Solid-state circuits, Vol. 39, pp. 1170-1174, JULY. 2004.
[9] H. Tong, S. Cheng, A. I. Karsilayn, and J. S. Martinez, “An injection- Locked Frequency Divider With Multiple Highly Nonlinear Injection Stages and Large Division Ratios,” IEEE Trans. Circuits Syst. II, Exp. Briefs, Vol. 54, no. 4, pp. 313-317, April 2007.
[10] J. Hu, Y. Huang, D. Wang, H. Yuan, and X. Yuan, “Modeling of grid-connected DFIG-based wind turbines for DC-link voltage stability analysis,” IEEE Trans. Sustain. Energy, vol. 6, no. 4, pp. 1325–1336, Oct. 2015.
[11] Y. Huang, X. Yuan, J. Hu, P. Zhou, and D. Wang, “DC-bus voltage control stability affected by AC-bus voltage control in VSCs connected to weak ac grid,” IEEE J. Emerg. Sel. Topics Power Electron., vol. 4, no. 2, pp. 445–458, Jun. 2016.
Published
2019-05-27
How to Cite
Talati, S., Rahmati, A., & Heidari, H. (2019). Investigating the Effect of Voltage Controlled Oscillator Delay on the Stability of Phase Lock Loops. Majlesi Journal of Telecommunication Devices, 8(2), 57-61. Retrieved from http://journals.iaumajlesi.ac.ir/td/index/index.php/td/article/view/552
Section
Articles