LEADER 03625nam 2200553 450 001 9910743264403321 005 20220506170454.0 010 $a981-16-2821-1 010 $a981-16-2822-X 010 $a981-16-2822-X 024 7 $a10.1007/978-981-16-2822-1 035 $a(CKB)4100000011998646 035 $a(DE-He213)978-981-16-2822-1 035 $a(MiAaPQ)EBC6707249 035 $a(Au-PeEL)EBL6707249 035 $a(PPN)25735414X 035 $a(EXLCZ)994100000011998646 100 $a20220506d2022 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFractional-order electrical circuit theory /$fBo Zhang, Xujian Shu 205 $a1st ed. 2022. 210 1$aSingapore :$cSpringer,$d[2022] 210 4$dİ2022 215 $a1 online resource (XV, 299 p. 165 illus., 10 illus. in color.) 225 1 $aCPSS Power Electronics Series 311 $a981-16-2821-1 327 $aOverview of Fractional Calculus Theory -- Fractional-order Electrical Circuits and Their Fundamental Laws -- Network Theorems of Fractional-order Electrical Circuits -- Time-domain Analysis of Fractional-order Dynamic Electrical Circuits -- Sinusoidal Steady-state Analysis of Fractional-order Electrical Circuits -- Fractional-order Three-phase Sinusoidal Electrical Circuits -- Analysis of Periodic Non-sinusoidal Steady-state Fractional-order Electrical Circuits -- Fractional-order Two-port Network -- Complex Frequency Domain Analysis of Fractional-order Electrical Circuits -- State Variable Analysis Method of Fractional-order Electrical Circuits -- Fractional-order Generalized Linear Electrical Circuits and Their Properties. 330 $aThis book presents a concise and insightful view of the knowledge on fractional-order electrical circuits, which belongs to the subject of Electric Engineering and involves mathematics of fractional calculus. It offers an overview of fractional calculus and then describes and analyzes the basic theories and properties of fractional-order elements and fractional-order electrical circuit composed of fractional-order elements. Therein, the fundamental theorems, time-domain analysis, steady-state analysis, complex frequency domain analysis and state variable analysis of fractional-order electrical circuit are included. The fractional-order two-port networks and generalized fractional-order linear electrical circuits are also mentioned. Therefore, this book provides readers with enough background and understanding to go deeper into the topic of fractional-order electrical circuit, so that it is useful as a textbook for courses related to fractional-order elements, fractional-order electrical circuits, etc. This book is intended for students without an extensive mathematical background and is suitable for advanced undergraduate and graduate students, engineers and researchers who focus on the fractional-order elements, electrical circuits and systems. . 410 0$aCPSS power electronics series. 606 $aElectric circuits 606 $aFractional calculus 606 $aElectrical engineering$xMathematics 615 0$aElectric circuits. 615 0$aFractional calculus. 615 0$aElectrical engineering$xMathematics. 676 $a621.3192 700 $aZhang$b Bo$f1962 October 23-$01427499 702 $aShu$b Xujian 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910743264403321 996 $aFractional-order electrical circuit theory$93560858 997 $aUNINA