US 12,155,361 B2
VCII based tunable positive and negative impedance simulator and impedance multiplier
Muneer A. Al-Absi, Dhahran (SA)
Assigned to KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS, Dhahran (SA)
Filed by KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS, Dhahran (SA)
Filed on Oct. 5, 2022, as Appl. No. 17/960,485.
Prior Publication US 2024/0154606 A1, May 9, 2024
Int. Cl. H03H 11/48 (2006.01); H03H 11/46 (2006.01); H03H 11/52 (2006.01)
CPC H03H 11/483 (2013.01) [H03H 11/481 (2013.01); H03H 11/488 (2013.01); H03H 11/52 (2013.01); H03H 11/53 (2013.01)] 20 Claims
OG exemplary drawing
 
20. A system for configuring a second generation voltage-mode conveyor circuit (VCII) as a tunable impedance simulator and impedance multiplier, comprising:
one second generation voltage-mode conveyor circuit (VCII) including a positive input terminal Y, an impedance input terminal Z0, a negative input terminal, an impedance output terminal Z, and a signal output terminal X, wherein the impedance input terminal Z0 is configured to be selectable between a positive input impedance terminal and a negative input impedance terminal, where the VCII has a current gain β and a voltage gain α;
a first impedance Z1 connected to the positive input terminal Y, wherein an internal circuit of the first impedance Z1 comprises a resistor R1 in parallel with a capacitor C1;
a voltage source Vs connected to the first impedance Z1, the impedance input terminal Z0 and the negative input terminal wherein the voltage source V is configured to generate a voltage signal having an amplitude |Vs| at a frequency s;
a second impedance Z2 having a first contactor connected to the signal output terminal X and a second contactor connected to a ground, wherein an internal circuit of the second impedance Z2 comprises a resistor R2 in parallel with a capacitor C2;
a third impedance Z3 having a first contactor connected to the impedance output terminal Z, and a second contactor connected to the ground, wherein an internal circuit of the third impedance Z3 consists of a resistor R3; and
the VCII is configured to be tunable by selecting values for R1, C1, R2, C2, and R3, such that:
when the impedance input terminal Z0 is configured to be a positive input impedance terminal, an input impedance Zin, to the VCII is given by

OG Complex Work Unit Math
any one of:
a tunable active inductor simulator is configured by setting Z1=R1, C1=0, R2=0, Z2=1/sC2, and Z3=R3 such that the input impedance is given by Zin=sC2R1R3=sL, where L represents an inductor given by L=C2R1R3, and wherein a value of the inductor is tuned by a selection of a value of C2, a value of R1 and a value of R3;
a tunable capacitance multiplier is configured by setting Z1=1/sC1, R1=0, Z2=R2, C2=0, and Z3=R3, such that the input impedance is given by

OG Complex Work Unit Math
where the capacitance C1 is multiplied by R2/R3, and an amount of multiplication of C1 is tuned by a selection of a value of R2 and a value of R3; and
a tunable resistance multiplier is configured by setting Z1=R1, C1=0, Z2=R2, C2=0, and Z3=R3, such that the input impedance is given by

OG Complex Work Unit Math
where R1 is multiplied by R3/R2, and an amount of multiplication of R1 is tuned by a selection of a value of R2 and a value of R3; and
when the impedance input terminal, Z0, is configured to be a negative input impedance terminal, an input impedance, Zin, to the VCII is given by

OG Complex Work Unit Math
any one of:
a tunable negative active inductor simulator is configured by setting Z1=R1, C1=0, R2=0, Z2=1/sC2, and Z3=R3 such that the input impedance is given by Zin=SC2R1R3=sL, where L represents an inductor given by L=C2R1R3, and wherein a value of the inductor is tuned by a selection of a value of C2, a value of R1 and a value of R3,
a tunable negative capacitance simulator is configured by setting Z1=1/sC1, R1=0, Z2=R2, C2=0, and Z3=R3, such that the input impedance is given by

OG Complex Work Unit Math
where the capacitance C1 is multiplied by R2/R3, and an amount of multiplication of C1 is tuned by a selection of a value of R2 and a value of R3, and
a tunable negative resistance simulator is configured by setting Z1=R1, C1=0, Z2=R2, C2=0, and Z3=R3, such that the input impedance is given by

OG Complex Work Unit Math
where R1 is multiplied by R3/R2, and an amount of multiplication of R1 is tuned by a selection of a value of R2 and a value of R3.