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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

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

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

results of full and envelope transient simulations
Results of Full and Envelope Transient Simulations

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
  • 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

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

Small signal

=Ac*kp*u(t)dt

Small signal

Linear source

Linearization of Sources for Angle Modulation
  • Frequency Modulation

phasor

FM – Nonlinear source

slide22
Results: Piezoelectric Transformer Driven by FM signal (AC and Point-by-Point) for Different Carrier Frequencies
slide23
Results: Piezoelectric Transformer Driven 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:
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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