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State variable analysis

State variable analysis

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Power Systems Electromagnetic Transients Simulation — Recommend this title to your library

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State variables are the parameters of a system that define completely its energy storage state. State Variable analysis was the dominant technique in transient simulation prior to the appearance of the Numerical Integration Substitution method. The application of Kron's tensor techniques led to an elegant and efficient method for the solution of systems with periodically varying topology, such as an ac/dc converter. Its main advantages are more general applicability and a logical procedure for the automatic assembly and solution of the network equations. Thus, the programmer no longer needs to be aware of all the sets of equations describing each particular topology. The use of diakoptics, as proposed by Kron, reduces considerably the computational burden but is subject to some restrictions on the types of circuit topology that can be analysed. Those restrictions, the techniques used to overcome them and the computer implementation of the state variable method are considered in this book chapter.

Chapter Contents:

  • 3.1 Introduction
  • 3.1 Introduction
  • 3.2 Choice of state variables
  • 3.2 Choice of state variables
  • 3.3 Formation of the state equations
  • 3.3 Formation of the state equations
  • 3.3.1 The transform method
  • 3.3.1 The transform method
  • 3.3.2 The graph method
  • 3.3.2 The graph method
  • 3.4 Solution procedure
  • 3.4 Solution procedure
  • 3.5 Transient converter simulation
  • 3.5 Transient converter simulation
  • 3.5.1 Per unit system
  • 3.5.1 Per unit system
  • 3.5.2 Network equations
  • 3.5.2 Network equations
  • 3.5.3 Structure of TCS
  • 3.5.3 Structure of TCS
  • 3.5.4 Valve switchings
  • 3.5.4 Valve switchings
  • 3.5.5 Effect of automatic time-step adjustments
  • 3.5.5 Effect of automatic time-step adjustments
  • 3.5.6 TCS converter control
  • 3.5.6 TCS converter control
  • 3.6 Example
  • 3.6 Example
  • 3.7 Summary
  • 3.7 Summary
  • References
  • References

Inspec keywords: power engineering computing; electromagnetic interference; mathematical analysis; power system simulation; power system transients

Other keywords: power systems electromagnetic transients simulation; state variable analysis; energy storage; periodically varying topology; computer implementation; diakoptics; circuit topology; state variable method

Subjects: Mathematical analysis; Power systems; Power engineering computing; Mathematical analysis; Electromagnetic compatibility and interference

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