This paper presents an alternative interpretation to Groszkowski’s effect, which states that the oscillation frequency of a harmonic oscillator is shifted due to the higher harmonic currents flowing into the LC tank. Groszkowki’s analysis starts by taking a strictly memoryless amplifier, to which he derives and expression for balance of reactive powers. Then he interprets the frequency shift as a matter of balance of reactive energy in the tank. Here we show that although a conductive amplifier is memoryless, it can still show phase shift at the fundamental tone. This is due to mixing of the fundamental and harmonics in the nonlinear i-v response of the amplifier. Now the new interpretation comes from the oscillation condition: if the amplifier shows phase shift, the tank needs to compensate it, and this causes the shift in the oscillation frequency. The mechanism is explained, analysed symbolically, and verified numerically.
Nokandi Mostafa Jafari, Singh Sumit Pratap, Pärssinen Aarno, Rahkonen Timo
A4 Article in conference proceedings
Place of publication:
2019 IEEE Nordic Circuits and Systems Conference (NORCAS): NORCHIP and International Symposium of System-on-Chip (SoC) 29-30 Oct 2019 Helsinki, Finland
21 November 2019
M. J. Nokandi, S. P. Singh, A. Pärssinen and T. Rahkonen, “A New Interpretation to Groszkowski’s Effect,” 2019 IEEE Nordic Circuits and Systems Conference (NORCAS): NORCHIP and International Symposium of System-on-Chip (SoC), Helsinki, Finland, 2019, pp. 1-4. doi: 10.1109/NORCHIP.2019.8906981
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