# Two problems on minimality in RLC circuit synthesis

@inproceedings{Hughes2014TwoPO, title={Two problems on minimality in RLC circuit synthesis}, author={Timothy H. Hughes and Jason Zheng Jiang and Smith Malcolm}, year={2014} }

A (one-port) RLC circuit is an interconnection of resistors and reactive elements (inductors and capacitors) with a pair of driving-point terminals. The circuit may be characterised by its impedance, which is the transfer function from an applied current to the induced voltage across the drivingpoint terminals. A given circuit has a unique impedance which may be routinely calculated from information about the constituent elements and their interconnections. It is well known that this impedance…

## 5 Citations

### Why RLC Realizations of Certain Impedances Need Many More Energy Storage Elements Than Expected

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This article solves the minimal network realization problem for the class of impedances realized by series–parallel networks containing at most three energy storage elements and develops a novel continuity-based approach to eliminate redundant elements from a network.

### Electrical Network Synthesis: A Survey of Recent Work

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A survey of some recent developments in the field of electrical network synthesis, including results establishing the minimality of the Bott–Duffin networks and their simplifications for realising certain impedances; enumerative approaches to the analysis of RLC networks within given classes of restricted complexity.

### Minimal Realizations of Three-Port Resistive Networks

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- 2015

The results of this paper can contribute to solving minimal realization problems of one-port and multi-port transformerless networks with more than one kind of elements.

### Title Minimal realizations of three-port resistive networks

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This paper is concerned with the minimal realization problem of a third-order real symmetric matrix as the admittance of three-port resistive networks. First, a necessary and sufficient condition is…

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