A Unified SPICE Compatible Model
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A Unified SPICE Compatible Model for Large and Small Signal Envelope Simulation of Linear Circuits Excited by Modulated Signals. Simon Lineykin and Sam Ben-Yaakov*

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A Unified SPICE Compatible Model for Large and Small Signal Envelope Simulation of Linear Circuits Excited by Modulated Signals

Simon Lineykin and Sam Ben-Yaakov*

Power Electronics LaboratoryDepartment of Electrical and Computer EngineeringBen-Gurion University of the NegevP. O. Box 653, Beer-Sheva 84105, ISRAEL

Phone: +972-8-646-1561, Fax: +972-8-647-2949Email: [email protected], Website: www.ee.bgu.ac.il/~pel


Power system driven by a modulated signal
Power System Driven by a modulated signal




A primer to envelope simulation
A Primer to Envelope Simulation

  • Any analog modulated signal (AM, FM or PM) can be described by the following expression:

  • The Current in the network excited by u(t):


Phasor analysis
Phasor Analysis

  • Inductance


Phasor analysis1
Phasor Analysis

Capacitance

Resistance


Splitting the network into two cross coupled components imaginary and real
Splitting the Network into Two Cross-Coupled Components - Imaginary and Real


Splitting the network into two cross coupled components imaginary and real1

Real Load Component

Imaginary Load Component

Splitting the Network into Two Cross-Coupled Components - Imaginary and Real


Simulation alternatives
Simulation Alternatives

  • Cycle-by-cycle (full simulation)

    • High and low frequencies

    • Very long simulation

    • Only transient

    • AC transfer function -> point-by-point

  • Envelope simulation (Large Signal -Previous study)

    • Only low frequency

    • Only transient

    • AC transfer function -> point-by-point





Example piezoelectric transformer driven by fm signal spice3
Example: Piezoelectric Transformer Driven by FM Signal (SPICE)

- Harmonic modulating signal



Orcad schematics for envelope simulation
OrCAD Schematics (SPICE)for Envelope Simulation

(Large Signal)


Results of full and envelope transient simulations
Results of Full and Envelope Transient Simulations (SPICE)

The modulating input signal

Envelope

The Frequency modulated signal

Cycle-by-cycle

Envelope

Cycle-by-cycle

Output signal


Objectives of this study
Objectives of this Study (SPICE)

  • To extend the envelope simulation method to AC analysis

  • A method that would not need an analytical derivation

  • Same model compatible with DC, AC, and Transient analysis types


Proposed method small signal analysis using ac simulation
Proposed Method – Small Signal Analysis Using AC–Simulation

  • Amplitude modulation

phasor

The source is linear and suitable for AC analysis – as is


Linearization of sources for angle modulation

=Ac AC–Simulation

Small signal

=Ac*kp*u(t)

Small signal

Linear source

Linearization of Sources for Angle Modulation

  • Phase Modulation

phasor

PM – Nonlinear source


Linearization of sources for angle modulation1

=Ac AC–Simulation

Small signal

=Ac*kp*u(t)dt

Small signal

Linear source

Linearization of Sources for Angle Modulation

  • Frequency Modulation

phasor

FM – Nonlinear source


Results: Piezoelectric Transformer AC–SimulationDriven by FM signal (AC and Point-by-Point) for Different Carrier Frequencies


Results: Piezoelectric Transformer AC–SimulationDriven by FM signal (AC and Point-by-Point) for Different Carrier Frequencies


Frequency response of the network unmodulated input signal using dc sweep
Frequency Response of the Network (unmodulated input signal) using DC-sweep

  • DC-sweep in envelope simulation is equivalent to frequency sweep in full simulation

  • The parameter of DC sweep is a carrier frequency fc

  • The source for DC sweep:


Example frequency response of piezoelectric transformer with different resistive loads
Example: Frequency Response of Piezoelectric Transformer with Different Resistive Loads


Conclusions
Conclusions

  • Envelope simulation method was extended to cover all simulation types: Transient, AC, DC.

  • Method is suitable for any linear circuit.

  • Method is also suitable for nonlinear circuits that can be linearized for small signal.


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