A new interpretation to Groszkowski’s effect
Nokandi, Mostafa Jafari; Singh, Sumit Pratap; Pärssinen, Aarno; Rahkonen, Timo (2019-11-21)
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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https://urn.fi/URN:NBN:fi-fe202001233107
Tiivistelmä
Abstract
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.
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