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Matrix analysis of dynamic stability in synchronous multimachine systems

Matrix analysis of dynamic stability in synchronous multimachine systems

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The design of synchronous-generator automatic regulating equipment by linearisation techniques is now firmly established. The paper presents an obvious extension of one method, where, by means of matrix algebra, a set of general coefficients related to the well known Heffron and Phillips constants is derived, which allows complex impedance terms to be included in the analysis. In keeping with modern practice, these constants are incorporated in equations which are formulated as sets of first-order differential equations. This form provides a basis for future applications of optimal control theory, and, in addition, may be scaled more easily in both time and amplitude for analogue-simulation studies. A detailed example of a multiloop a.v.r. connected to a 30MW machine is given for reference purposes. The matrix methods, used in conjunction with the matrix iterative techniques of load-flow analysis, extend naturally to multimachine systems, allowing the dynamic operating and stability problem to be investigated with respect to possible future multimachine co-ordinated control schemes.

References

    1. 1)
      • G. Shackshaft . A general purpose turboalternator model. Proc. IEE , 4
    2. 2)
      • C.A. Stapleton . Root locus study of synchronous machine regulation. Proc. IEE , 4
    3. 3)
      • M.A. Laughton . Sensitivity in dynamical system analysis. J. Electronics and Control
    4. 4)
      • W.C. Heffron , R.A. Phillips . Effect of modern amplidyne voltage regulator on under-excited operation of large turbine generators. Trans. Amer. Inst. Elect. Engrs.
    5. 5)
      • K.C. Parton . Fast excitation systems. Elect. Times
    6. 6)
      • C. Concordia . Steady-state stability of synchronous machines as affected by angle-regulator characteristics. Trans. Amer. Inst. Elect. Engrs, Pt. I
    7. 7)
      • M.A. Laughton , M.W. Humphrey Davies . Numerical techniques in the solution of the power system load flow problem. Proc. IEE , 9
    8. 8)
      • A. Aldred , G. Shackshaft . Frequency response method for the predetermination of synchronous machine stability. Proc. IEE
    9. 9)
      • H.K. Messerle . Relative dynamic stability of large synchronous generators. Proc. IEE
    10. 10)
      • M.J. Battison , N. Mullineux . Stability criteria for linear control systems. Proc. IEE , 3
    11. 11)
      • C.J. Savant . (1958) , Basic feedback control system design.
    12. 12)
      • G.J. Thaler , R.G. Brown . (1953) , Servomechanism analysis.
    13. 13)
      • H.K. Messerle . Steady-state stability limit of alternators as modified by regulators. Instn. Engrs, Austral., Elect. Mech. Engng. Trans.
    14. 14)
      • P.A. White . The computation of eigenvalues and eigenvectors of a matrix. J. Soc. Ind. Appl. Math.
    15. 15)
      • C. Concordia . Steady-state stability of synchronous machines as affected by voltage regulator characteristics. Trans. Amer. Inst. Elect. Engrs.
    16. 16)
      • M.A. Laughton . Use of matrix theory in the analysis of linear feedback circuits. Proc. IEE , 10
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