Excitation system voltage regulator modeling with the use of fractional calculus

Practical Experiments with a Ready-Made Strategy for Energizing a Suitable Pre-Magnetized Three-Column Three-Phase Dy Transformer in Unloaded State for Inrush Current Computations

“…The deviation of the measurement voltage r N e 16) was adopted as the criterion for selecting the reluctance R mδ . In practical implementation, a comparison between measured and simulated waveforms can be made using a variety of criteria (for instance, as in [32], when sums of squares are used or through an integral error [33]).…”

“…The value of this shunt is selected in such a way as to obtain the maximum value (Figure 16) was adopted as the criterion for selecting the reluctance m R δ . In practical implementation, a comparison between measured and simulated waveforms can be made using a variety of criteria (for instance, as in [32], when sums of squares are used or through an integral error [33]). The new and corrected transformer model differs from the model given in [13] based on the presence of a carefully selected air shunt R mδ .…”

Processing characteristics correction of measuring systems by means a differintegral of variable order

“…The fractional calculus have found a range of applications, in particular, modelling of process dynamics and physical effects whose modelling with classic mathematical apparatus has not always been faithful to reality, e.g. modelling of such effects as memory process, PID controllers, robust control, heat transfer process, electrical drive, voltage regulator, charging and discharging of supercapacitors, robot manipulators, cell growth dynamics, biomedical engineering, image processing, chemical reaction processes, dynamics of automatic or electronic systems, photovoltaic systems, hybrid power systems or such non-technical issues as analysis of financial processes [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. The fractional calculus seems an ideal tool for modelling of nonlinear and highly complex effects and processes.…”

Liquid Vortex Formation in a Swirling Container Considering Fractional Time Derivative of Caputo

“…Since fractional calculus is rapidly growing recently with the old models replaced by fractional ones in the light of a diverse choice of fractional derivative definitions, we mainly concentrate on recent studies. For instance, anomalous diffusion processes were investigated by means of fractional models in oil pollution [5], in tumor growth and oncological particularities [6,7], in antioxidant vegetable [8], in the voltage regulator of the power industry [9], in nuclear neutron transport [10], in enhancing low-frequency signal [11], in computer vision [12], in radioactive and transmutation linear chains [13], in optimizing current sequences in lithium-ion batteries [14,15], in structural analysis creep [16], in the transmission dynamics of Nipah virus [17], in chronic hepatitis B-related liver fibrosis [18], in cytokeratin [19], in the link formation of temporal networks [20], in slow decay phenomena of the Tesla Model S battery [21], in the slip flow of nanoparticles [22], and in the ultrasonic propagation of wave in a fractal porous material [23], among many others.…”