# Admittance Matrix - Explore the Science & Experts | ideXlab

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### D G Haigh – One of the best experts on this subject based on the ideXlab platform.

• ##### a method of transformation from symbolic transfer function to active rc circuit by AdmittanceMatrix expansion
IEEE Transactions on Circuits and Systems, 2006
Co-Authors: D G Haigh

Abstract:

Active-RC circuits containing 2-terminal linear passive elements and ideal transistors or operational amplifiers are derived from symbolic voltage or current transfer functions by Admittance Matrix transformations without any prior assumption concerning circuit architecture or topology. Since the method is a reversal of symbolic circuit analysis by Gaussian elimination applied to a circuit nodal Admittance Matrix, it can generate all circuits using the specified elements that possess a given symbolic transfer function. The method is useful for synthesis of low-order circuits, such as those used for cascade implementation, for deriving alternative circuits with the same transfer function as an existing circuit or for realizing unusual transfer functions, as may arise, for example, where a transfer function is required that contains specific tuning parameters

• ##### systematic synthesis of operational amplifier circuits by AdmittanceMatrix expansion
European Conference on Circuit Theory and Design, 2005
Co-Authors: D G Haigh

Abstract:

This paper is concerned with systematic synthesis of all-transistor circuits. The synthesis takes place in the circuit using nullor transformations and in the Admittance Matrix domain using linked infinity parameters. Whereas previous work in this area has been concerned with simple transconductor and current mirror blocks, this paper considers the more complex example of the operational amplifier. We show that the nullator-norator repairing transformation can change the essential character of an op-amp from single-stage to 2-stage and vice versa. We introduce a new nullor transformation, the nullator and norator cloning transformation.

• ##### ECCTD – Systematic synthesis of operational amplifier circuits by AdmittanceMatrix expansion
Proceedings of the 2005 European Conference on Circuit Theory and Design 2005., 2005
Co-Authors: D G Haigh

Abstract:

This paper is concerned with systematic synthesis of all-transistor circuits. The synthesis takes place in the circuit using nullor transformations and in the Admittance Matrix domain using linked infinity parameters. Whereas previous work in this area has been concerned with simple transconductor and current mirror blocks, this paper considers the more complex example of the operational amplifier. We show that the nullator-norator repairing transformation can change the essential character of an op-amp from single-stage to 2-stage and vice versa. We introduce a new nullor transformation, the nullator and norator cloning transformation.

### P M Radmore – One of the best experts on this subject based on the ideXlab platform.

• ##### ECCTD – New AdmittanceMatrix descriptions for the nullor with application to circuit design
Proceedings of the 2005 European Conference on Circuit Theory and Design 2005., 2005
Co-Authors: D G Haigh, P M Radmore

Abstract:

The nullor is a circuit element which can represent ideal active devices. Recently, a way of representing the nullor in a nodal Admittance Matrix has been proposed using linked infinity parameters and this has led to a method of symbolic synthesis for active circuits. Replacement of linked infinity parameters by finite parameters corresponds to replacing each nullor by a finite transconductance element. In this paper, we derive alternative Admittance Matrix representations for the nullor which in the non-ideal case can represent a range of practical active elements, including voltage and current amplifiers and BJTs. We also show that it is possible to associated scaling parameter representing transistor geometry with the Admittance Matrix representation of a nullor.

• ##### new AdmittanceMatrix descriptions for the nullor with application to circuit design
European Conference on Circuit Theory and Design, 2005
Co-Authors: D G Haigh, P M Radmore

Abstract:

The nullor is a circuit element which can represent ideal active devices. Recently, a way of representing the nullor in a nodal Admittance Matrix has been proposed using linked infinity parameters and this has led to a method of symbolic synthesis for active circuits. Replacement of linked infinity parameters by finite parameters corresponds to replacing each nullor by a finite transconductance element. In this paper, we derive alternative Admittance Matrix representations for the nullor which in the non-ideal case can represent a range of practical active elements, including voltage and current amplifiers and BJTs. We also show that it is possible to associated scaling parameter representing transistor geometry with the Admittance Matrix representation of a nullor.

• ##### symbolic passive rc circuit synthesis by AdmittanceMatrix expansion
International Symposium on Circuits and Systems, 2005
Co-Authors: D G Haigh, P M Radmore

Abstract:

Active-RC circuits with prescribed voltage or current transfer functions are synthesised, starting with the transfer function in symbolic form and making no assumptions about circuit topology. The approach is based on a method of Admittance Matrix expansion proposed for passive-RC circuits (Haigh, D.G., ibid., p.244-7). The approach relies on the use of linked infinity parameters to describe both nullors in the nodal Admittance Matrix of a synthesised circuit and port Admittance matrices exhibiting the prescribed voltage or current transfer functions.

### S. Henselmeyer – One of the best experts on this subject based on the ideXlab platform.

• ##### Generalized $\pi$ Fortescue Equivalent AdmittanceMatrix Approach to Power Flow Solution
IEEE Transactions on Power Systems, 2014
Co-Authors: Izudin Dzafic, Bikash C. Pal, Michel Gilles, S. Henselmeyer

Abstract:

This paper develops a generalized Admittance Matrix approach in Fortescue coordinate system to solve unbalanced/unsymmetrical distribution networks including different number of phases. This generalized Fortescue π equivalent is defined in this paper for solving the heterogeneous phase, and thus Fortescue, network model. The performance of the approach is demonstrated in different model networks with number of nodes ranging between 168 and 14200. It is found that the current iteration method exploiting the decoupling in Admittance Matrix in Fortescue coordinate is substantially faster than the typical unbalanced three-phase solution in phase domain. The method has a significant potential for application in real time active power network management.

• ##### generalized pi fortescue equivalent AdmittanceMatrix approach to power flow solution
IEEE Transactions on Power Systems, 2014
Co-Authors: Izudin Dzafic, Bikash C. Pal, Michel Gilles, S. Henselmeyer

Abstract:

This paper develops a generalized Admittance Matrix approach in Fortescue coordinate system to solve unbalanced/unsymmetrical distribution networks including different number of phases. This generalized Fortescue π equivalent is defined in this paper for solving the heterogeneous phase, and thus Fortescue, network model. The performance of the approach is demonstrated in different model networks with number of nodes ranging between 168 and 14200. It is found that the current iteration method exploiting the decoupling in Admittance Matrix in Fortescue coordinate is substantially faster than the typical unbalanced three-phase solution in phase domain. The method has a significant potential for application in real time active power network management.