Model reduction using the stability-equation method and the continued-fraction method

Model order reduction using response-matching technique

“…Reduced third-order model obtained by Chen et al [8] of the system presented in Eq. (19) above is Amplitude Original 9th order [7] 3rd order with all real, distinct poles 3rd order with real and a pair of complex poles 3rd order with one distinct and two repeated poles 3rd order with all real repeated poles Impulse Response…”

“…(I) Method using impulse-response matching: Step Response Amplitude 9th order model 3rd order using proposed method 3rd order using Chen [7] 3rd order using Chen [8] Original 6th order [10] 3rd order with all real, distinct poles 3rd order with real and a pair of complex poles 3rd order with one distinct and two repeated poles 3rd order with all real repeated poles Step Response Original 6th order [10] 3rd order with all real, distinct poles 3rd order with real and a pair of complex poles 3rd order with one distinct and two repeated poles 3rd order with all real repeated poles Reduced third-order models obtained by Shamash [9] of the system presented in Eq. (30) above is as under:…”

A modified two-degree of freedom-internal model control configuration for load frequency control of a single area power system

“…Initially, predictive model G m (s) is obtained using the stability equation method [39]. Hence, denominator G D (s) is factorized into even and odd parts, as given in Eqs.…”

“…Further, a fractional order PID controller [30,32] is designed for a single area power system, which provides robustness towards parameter uncertainties and disturbance rejection. This paper discusses the development of a modified TDF-IMC configuration, by employing the reducedorder modelling concept [39] for the derivation of a predictive model for IMC configuration. The proposed TDF-IMC structure is a combination of double feedback loops and fulfils the following objectives: (1) it reduces the frequency deviation with minimization of steady state error, settling time, peak overshoot, and oscillations; (2) it provides robustness of system model with parametric uncertainty; (3) it achieves faster load disturbance rejection.…”

Generalized Two Axes Modeling, Order Reduction and Numerical Analysis of Squirrel Cage Induction Machine for Stability Studies

“…The extension of single input single output (SISO) methods to reduce multi input multi output (MIMO) systems has been also carried out in [8][9][10][11]. Numerous methods of order reduction are also available in the literature [12][13][14][15][16][17], which are based on the minimization of the integral square error criterion. Some of methods are based on stability criterion.…”