Order Reduction of Linear System Models with a Time-Frequency Domain Method

✍ Scribed by D.P. Papadopoulos

• Publisher: Elsevier Science
• Year: 1986
• Tongue: English
• Weight: 716 KB
• Volume: 322
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(86)90057-8

✦ Synopsis

A mixed method of model-order reduction is introduced, which is based on the linear state-space representation of the original system. The derivation of' its transfer function matrix expression uses the Leverrier algorithm and the application of well known partialfraction expansion techniques together with the concept of dominant eigenvalues on the transfer function of the system. The method is general, relatively simple to apply and yields fairly accurate reduced-order models. As an illustration the method has been applied successfully to a tenth-order two-input two-output time-invariant linear model of a practical power system. Nomenclature A incremental (step) change of input machine angle, speed, terminal voltage, active and reactive power machine linear model parameters (16) machine inertia constant, accelerating, electrical and mechanical torque equivalent resistance and reactance of external system voltage proportional to d-axis tlux linkages; field voltage and O.C. time constant self-excited field constant, saturation function and time constant of exciter regulator gain, time constant and output voltage rate feedback (RF) gain and time constant transducer/filter gain and time constant speed gain, reset time-lag constant and voltage output of power system stabilizer (PSS) lead and lag time constants of PSS Laplace operator Pergaman Journals Ltd.