A New Extended Padé Approximation and Its Application

Bojdi, Z. Kalateh; Ahmadi‐Asl, Salman; Aminataei, A.

doi:10.1155/2013/263467

Cited by 13 publications

(7 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As the stability of the reduced‐order model is influenced by the numerator of the original system, the mixed approach has been preferred for model order reduction. Padé approximation is a traditional method of rational fraction approximation and uses the coefficients of Taylor series expansion of a function f(x) . Padé approximation will fetch the solution even if the Taylor series does not converge.…”

Section: Model Order Reduction Of Hdgt Plantsmentioning

confidence: 99%

See 1 more Smart Citation

Development of optimal reduced‐order model for gas turbine power plants using particle swarm optimization technique

Iqbal

Xavier²

2020

Int Trans Electr Energ Syst

View full text Add to dashboard Cite

Summary Analysis of higher‐order gas turbine plant in real time would be tedious and expensive. In order to overcome this complexity, reduced‐order model for 5001M heavy‐duty gas turbine rated 18.2 MW has been obtained by Routh approximation, clustering technique, modified pole clustering, eigen permutation, Mihailov criterion, and Padé approximation algorithms. The step responses are obtained using MATLAB/Simulink and compared based on time domain specifications and performance index criteria. It indicates that the mixed method, namely, Routh approximation–Padé approximation algorithm–based reduced‐order model, retains the original characteristics. Further, particle swarm optimization (PSO) algorithm has also been applied to develop an optimal reduced‐order model. Based on the dynamic response against the load disturbance and set point variations, PSO‐based reduced‐order model has been identified as an optimal reduced‐order model for heavy‐duty gas turbine. The reduced‐order model proposed in this paper will be suitable for analyzing the dynamic behavior of heavy‐duty gas turbine plants in real‐time environment.

show abstract

Section: Model Order Reduction Of Hdgt Plantsmentioning

confidence: 99%

“…Padé approximation will fetch the solution even if the Taylor series does not converge. This method is computationally simple and may lead to superior performance when the function contains the poles . Because of these reasons, Padé approximation (PA) technique has been widely used for model order reduction .…”

Section: Model Order Reduction Of Hdgt Plantsmentioning

confidence: 99%

Development of optimal reduced‐order model for gas turbine power plants using particle swarm optimization technique

Iqbal

Xavier²

2020

Int Trans Electr Energ Syst

View full text Add to dashboard Cite

show abstract

“…It involves (N + M + 1) unknown coefficients which are to be determined in such a way that the Maclaurin series expansions of P N,M (t) coincides with some target function as far as possible [46].…”

Section: Padé Approximationmentioning

confidence: 99%

“…The present work presents an innovative numerical scheme by integrating evolutionary computing and Padé rational functions [44][45][46] The rest of the paper is organized as follows. In Sect.…”

Section: Introductionmentioning

confidence: 99%

Numerical treatment of nonlinear model of virus propagation in computer networks: an innovative evolutionary Padé approximation scheme

et al. 2018

View full text Add to dashboard Cite

This work proposes a novel mesh free evolutionary Padé approximation (EPA) framework for obtaining closed form numerical solution of a nonlinear dynamical continuous model of virus propagation in computer networks. The proposed computational architecture of EPA scheme assimilates a Padé approximation to transform the underlying nonlinear model to an equivalent optimization problem. Initial conditions, dynamical positivity and boundedness are dealt with as problem constraints and are handled through penalty function approach. Differential evolution is employed to obtain closed form numerical solution of the model by solving the developed optimization problem. The numerical results of EPA are compared with finite difference schemes like fourth order Runge-Kutta (RK-4), ODE45 and Euler methods. Contrary to these standard methods, the proposed EPA scheme is independent of the choice of step lengths and unconditionally converges to true steady state points. An error analysis based on residuals witnesses that the convergence speed of EPA is higher than a globally convergent non-standard finite difference (NSFD) scheme for smaller as well as larger time steps.

show abstract

“…The impulse response in (9) requires time-domain reflection coefficients (RC). In order to obtain the simplest and accurate expressions for (RC), we use the Padé approximation [17]. The idea of this approximation is to expand Γ v (s, θ) and Γ h (s, θ) as a ratio of two power series and determining both the numerator and denominator coefficients using the coefficients of their Taylor series expansion in complex s-domain.…”

Section: Transient Responsementioning

confidence: 99%

Padé approximation for time-domain plane wave reflected from a lossy earth

2018

View full text Add to dashboard Cite

To deal with the behaviour of wire structures subjected to electromagnetic waves with the finitedifference time-domain (FDTD) method, it is necessary to establish the external electromagnetic excitation in time-domain. For a homogeneous lossy half-space problem, the Fresnel reflection coefficients for arbitrary polarization plane wave are usually multiplied by the pulse spectrum in the frequency domain and the result is transformed into the time-domain. In this paper, an accurate method based on the Padé approximation theory in conjunction with the partial fraction expansion is used, and leads to expressions of the field above a homogeneous lossy earth that can analytically be transformed into the time-domain. The influence of the common degree of the numerator and denominator of the Padé approximant on the accuracy of the proposed method is discussed.

show abstract

A New Extended Padé Approximation and Its Application

Cited by 13 publications

References 16 publications

Development of optimal reduced‐order model for gas turbine power plants using particle swarm optimization technique

Development of optimal reduced‐order model for gas turbine power plants using particle swarm optimization technique

Numerical treatment of nonlinear model of virus propagation in computer networks: an innovative evolutionary Padé approximation scheme

Padé approximation for time-domain plane wave reflected from a lossy earth

Contact Info

Product

Resources

About