Abstract: A new perspective for the Lumped System Assumption (LSA) through its derivation from Maxwell's Equations will be presented and the following will be addressed:
- Feynman's description of ideal coil, capacitor and resistor and the proposal for the LSA in electromagnetic systems
- Derivation of Kirchhoff's Voltage Law (KVL) and Kirchhoff's Current Law (KCL) equations, which are algebraic, from two Maxwell's Equations, i.e., Faraday's Law Equation (FLE) and Continuity Equation (CE or Maxwell's Fifth Law) which are PDE, as implications of LSA?
- Zero magnetic field outside inductors is the necessary and sufficient condition for the validity of KVL; why is conservative electric field important?
- Zero displacement current outside capacitors is the necessary and sufficient condition for the validity of KCL.
- Lumped Circuit Model (LCM), a set of ODE, is obtained from Maxwell's equations, a set of PDE, as an implication of LSA.
- What is the difference between a physical lumped circuit and the LCM?
- Are KVL and KCL valid in physical electromagnetic systems or only in LCM? What is the catch?
- Common examples of violation of KVL and KCL in physical circuits.
- Duality between inductor and capacitor with respect to FLE and CE and the derivation of the mathematical models of the inductor and capacitor, which are ODE, respectively from FLE and CE, which are PDE, as a result of the LSA?
- Using the new perspective for LSA can d'Alambert Principle be interpreted in electromagnetic systems as a generalization of KVL and KCL?
- How does LSA prevent wave propagation?
Bio: Professor Tavsanoglu received the Diploma degree in engineering from Istanbul Technical University (ITU), Turkey, the Ph.D. degree from the University of Bath, U.K.,and the Habilitation from ITU, all in electronic engineering. He has held professorial positions at ITU, London South Bank University and Yildiz Technical University, Istanbul, and Isik University, Istanbul. He has held a Visiting Professorship at the Technical University of Munich which was supported by a Research Fellowship from the Alexander von Humboldt Foundation of Germany. He served as an Associate Editor of the IEEE Transactions on Circuits and Systems-I, and the IEEE UK&RI Section Circuits and Systems Chapter as Chairman. He was the Chairman of the 5th and 10th IEEE International Workshops on Cellular Neural Networks and Applications, the CNNA-98, and the CNNA-06, held in London and Istanbul, respectively. He served as an IEEE CAS Distinguished Lecturer for the term 2002-3. He teaches Circuit Theory, Digital Signal Processing, Digital Filter Design and Image Processing. His major research interests lie in the areas of circuit theory, cellular neural networks, digital filtering and image processing.