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The root-matching method

The root-matching method

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The purpose of the root-matching method is to transfer correctly the poles and zeros from the s-plane to the z-plane, an important requirement for reliable digital simulation, to ensure that the difference equation is suitable to simulate the continuous process correctly. This book chapter describes the use of root-matching techniques in the Electromagnetic Transient Simulation and compares its performance with that of the conventional Numerical Integrator Substitution method described in a previous chapter.

Chapter Contents:

  • 5.1 Introduction
  • 5.1 Introduction
  • 5.2 Exponential form of the difference equation
  • 5.2 Exponential form of the difference equation
  • 5.3 z-Domain representation of difference equations
  • 5.3 z-Domain representation of difference equations
  • 5.4 Implementation in EMTP algorithm
  • 5.4 Implementation in EMTP algorithm
  • 5.5 Family of exponential forms of the difference equation
  • 5.5 Family of exponential forms of the difference equation
  • 5.5.1 Step response
  • 5.5.1 Step response
  • 5.5.2 Steady-state response
  • 5.5.2 Steady-state response
  • 5.5.3 Frequency response
  • 5.5.3 Frequency response
  • 5.6 Example
  • 5.6 Example
  • 5.7 Summary
  • 5.7 Summary
  • References
  • References

Inspec keywords: poles and zeros; power system transients; power system simulation; digital simulation; electromagnetic interference; difference equations

Other keywords: poles and zeros; numerical integrator substitution method; power systems electromagnetic transients simulation; digital simulation; continuous process; difference equation; z-plane; s-plane; root-matching method

Subjects: Power systems; Electromagnetic compatibility and interference; Differential equations (numerical analysis); Mathematical analysis

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