Theory of the Negative Impedance Converter

Merrill, J. L.

doi:10.1002/j.1538-7305.1951.tb01368.x

Cited by 65 publications

(16 citation statements)

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“…Negative impedance converters (NIC) are an important idea in electronics [11][12][13] and they can be easily constructed by operational amplifiers.…”

Section: Negative Impedance Converter With Operational Amplifiermentioning

confidence: 99%

Master equation for operational amplifiers: stability of negative differential converters, crossover frequency and pass-bandwidth

et al. 2019

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0 1 - we obtain the well-known formulae equations (7) and (8) of [9], see also [20].Actually coincidence of equation (7) of [9] with equation (28) from our paper with reverse engineering gives a proof of our time dependent master equation equation (5). For frequencies much lower than the crossover frequency f crossover of the operational amplifier the amplification is in a wide band frequency independent Figure C1. Differential amplifier with a finite input resistance R a (non-zero input conductivity) of the operational amplifier.

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“…Negative impedance converters (NIC) are an important idea in electronics [11][12][13] and they can be easily constructed by operational amplifiers.…”

Section: Negative Impedance Converter With Operational Amplifiermentioning

confidence: 99%

Master equation for operational amplifiers: stability of negative differential converters, crossover frequency and pass-bandwidth

et al. 2019

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show abstract

“…Negative impedance convertors (NIC) are an important idea in electronics [11][12][13] and they can be easily constructed by operational amplifiers.…”

Section: Negative Impedance Converter With Operational Amplifiermentioning

confidence: 99%

Master equation for operational amplifiers: Stability of negative differential converters, crossover frequency and pass-bandwidth

Mishonov¹,

Stefanov²,

Petkov³

et al. 2019

AIP Conference Proceedings

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The time dependent master equation from the seminal article by Ragazzini, Randall and Russell [J. R. Ragazzini, R. H. Randall and F. A. Russell, "Analysis of Problems in Dynamics by Electronic Circuits", Proc. of the I.R.E. , 35, pp. 444-452, (1947)] is recovered as necessary tool for the analysis of contemporary circuits with operational amplifiers. This equation gives the relation between time dependent the output voltage U0(t) and the difference between the input voltages (U+(t) and U−(t)). The crossover frequency f0 is represented the time constant τ 0 of this equation. The work of the master equation is illustrated by two typical examples: a) the stability criterion of the devices with negative impedance converters, which we consider as a new result b) the frequency dependence of the amplifiers with operational amplifiers given in the technical specifications without citations of time dependent equation. A simple circuit for determination of f0 is suggested and the method is illustrated by determination of crossover frequency for the low-noise and high speed ADA4898 operational amplifier. It is concluded that for an exact calculation of the pass bandwidth of amplifiers with active filters the 70 years old master equation is a useful technique implicitly included in the contemporary software. The frequency dependent formulae for the amplification coefficient of inverting and non-inverting amplifiers are given for the case of non-zero conductivity between the inputs of the operational amplifiers.

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“…The negative impedance shunt circuit is able to cancel the inherent electrical impedance of the smart transducer. Figure 8a shows a kind of negative impedance converter (NIC) [96,97]. The equivalent impedance is…”

Section: Active Shuntmentioning

confidence: 99%

Shunt Damping Vibration Control Technology: A Review

Yan

Wang

et al. 2017

Applied Sciences

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Smart materials and structures have attracted a significant amount of attention for their vibration control potential in engineering applications. Compared to the traditional active technique, shunt damping utilizes an external circuit across the terminals of smart structure based transducers to realize vibration control. Transducers can simultaneously serve as an actuator and a sensor. Such unique advantage offers a great potential for designing sensorless devices to be used in structural vibration control and reduction engineering. The present literature combines piezoelectric shunt damping (PSD) and electromagnetic shunt damping (EMSD), establishes a unified governing equation of PSD and EMSD, and reports the unique vibration control performance of these shunts. The schematic of shunt circuits is given and demonstrated, and some common control principles and equations of these shunts are summarized. Finally, challenges and perspective of the shunt damping technology are discussed, and suggestions made based on the knowledge and experience of the authors.

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Theory of the Negative Impedance Converter

Cited by 65 publications

References 0 publications

Master equation for operational amplifiers: stability of negative differential converters, crossover frequency and pass-bandwidth

Master equation for operational amplifiers: stability of negative differential converters, crossover frequency and pass-bandwidth

Master equation for operational amplifiers: Stability of negative differential converters, crossover frequency and pass-bandwidth

Shunt Damping Vibration Control Technology: A Review

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