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The problem of classical electrical network synthesis (flourished between 1920-1970) is subjected to scientific critique. Conclusions: the first attacks on the problem were frustrated and eventually defeated by a naive over-reliance on engineering/physical intuition and shoving the mathematical issues whenever possible under the rug; now, by concentrating on essential mathematics, much of it known since the 19th century, research will be revived with spectacular prospects of scientific progress.
IEEE Transactions on Education, 1989
In this paper the problem of defining and building-up a model of an electrical network is considered.
International Journal of Circuit Theory and Applications, 2007
Physics is not scale invariant, and today the scale of atoms and molecules challenges designers of machines in which quantum effects have dominant sway. What role could circuit theory play in designing machines described by quantum-classical models? Classical equivalent circuits do exist for systems composed of metal contacted and wired devices, such as resonant tunneling diodes, single electron transistors, metalinsulator-metal diodes, etc. circuits, but not for quantum-entangled networks, such as multi-quantum-state atoms.
Electrical Network Topology/Electrical Network Graph Theory: Complete Incidence Matrix, Reduced or Incidence Matrices of Electrical Network, Possible trees that can be drawn out of a given graph
Problems related to graph theory [Q1, Q2, Q9] have been left out as they can be solved in various ways ...
Electrical Network Theory, Class Test
Network synthesis involves the methods used to determine an electric circuit that satisfy certain specifications. Different methods may also be used to synthesize circuits, all of which may be optimal. Hence the solution to a network synthesis problem is never unique. In this paper, significant methods in network synthesis theory is presented. Among all these method we will focus on the Cauer Realization, is a technique which is used to synthesize the passive network.
Electrical Network Theory
The past two decades have witnessed profound changes in the composition, functions and the level of complexity of electrical as well as electronic systems which are employed in modem technology. As a result, classical RLC network theory, which was the mainstay of electrical engineering at a time when RLC networks were the bread and butter of the electrical engineer, has been and is being increasingly relegated to the status of a specialized branch of a much broader discipline-system theory-which is concerned with systems of all types regardless of their physical identity and purpose.
Midterm question and answer for the paper - EE - 304 Electrical Network Theory
IFAC-PapersOnLine, 2017
Redesigning systems by changing elements, topology, organization, augmenting the system by the addition of subsystems, or removing parts, is a major challenge for systems and control theory. A special case is the redesign of passive electric networks which aims to change the natural dynamics of the network (natural frequencies) by the above operations leading to a modification of the network. This requires changing the system to achieve the desirable natural frequencies and involves the selection of alternative values for dynamic elements and non-dynamic elements within a fixed interconnection topology and/or alteration of the interconnection topology and possible evolution of the network (increase of elements, branches). The use of state-space or transfer function models does not provide a suitable framework for the study of this problem, since every time such changes are introduced, a new state space or transfer function model has to be recalculated. The use of impedance and admittance modeling, provides a suitable framework for the study of network properties under the process of re-engineering transformations. This paper deals with the fundamental system properties of the impedanceadmittance network description which provide the appropriate framework for network reengineering. We identify the natural topologies expressing the structured transformations linked to the impedance-graph, admittance graph-topology of the network and examine issues such as network regularity, number of finite frequencies and provide characterization of them in terms of the basic network matrices. The implicit network representation introduced provides a natural framework for expressing the different types of re-engineering transformations which can be used for the study of the natural frequencies assignment.
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