Admittance Matrix

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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 Admittance Matrix 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 Admittance Matrix 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 Admittance Matrix 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.

  • new Admittance Matrix 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.

  • ECCTD - New Admittance Matrix 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.

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

  • ECCTD - New Admittance Matrix 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 Admittance Matrix 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 Admittance Matrix 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.

  • ISCAS (1) - Symbolic passive-RC circuit synthesis by Admittance Matrix expansion
    2005 IEEE 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 Admittance Matrix 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 Admittance Matrix 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.

Ahmed M. Soliman - One of the best experts on this subject based on the ideXlab platform.

  • Generation of CCII and ICCII based Wien oscillators using nodal Admittance Matrix expansion
    Aeu-international Journal of Electronics and Communications, 2010
    Co-Authors: Ahmed M. Soliman
    Abstract:

    Abstract This paper introduces a new generation method of the grounded capacitor Wien oscillator circuits using current conveyors (CCII) or inverting current conveyors (ICCII) or combination of both of them. The nodal Admittance Matrix (NAM) of the single Op Amp Wien oscillator is taken as the starting point in the new approach of systematic synthesis of equivalent oscillators. The synthesis procedure is based on the generalized systematic synthesis framework using NAM expansion. The resulting derived 32 oscillators include many novel oscillators, using current conveyors or inverting current conveyors or both. Comparison between the generated oscillators based on the effect of parasitic elements on the oscillator performance is discussed.

  • Synthesis of controlled sources by Admittance Matrix expansion
    Journal of Circuits Systems and Computers, 2010
    Co-Authors: Ahmed M. Soliman
    Abstract:

    The Admittance Matrix expansion method based on using nullors and pathological mirror elements is used to provide a systematic synthesis method of controlled sources. Four new realizations of the current controlled voltage source (CCVS) using a single grounded resistor are given. Three new nodal Admittance Matrix expansions (NAM) for the voltage controlled voltage source (VCVS) are introduced in this paper. The voltage mirror current mirror pair is used as intrinsic element in the NAM expansion. Eight new realizations for the noninverting VCVS using two grounded resistors are given. Eight realizations for the inverting VCVS using two grounded resistors are also given. Two new NAM expansions for the current controlled current source (CCCS) are introduced in this paper. The voltage mirror current mirror pair is used as an intrinsic element in the NAM expansion. Eight realizations for the CCCS using two grounded resistors are given. The generation of the controlled sources using a single building block is also discussed and the adjoint relations between VCVS and CCCS are summarized.

  • Generation of current conveyor based oscillators using nodal Admittance Matrix expansion
    Analog Integrated Circuits and Signal Processing, 2009
    Co-Authors: Ahmed M. Soliman
    Abstract:

    A new approach in the systematic synthesis of current conveyor based active RC canonic oscillators is given. The synthesis procedure is based on the generalized systematic synthesis framework using Admittance Matrix expansion. The resulting derived oscillators include many novel oscillators, using various types of current conveyors and inverting current conveyors. The oscillators considered in this paper uses the minimum number of passive elements namely two capacitors and three resistors necessary to have independent control on the condition of oscillation and on the frequency of oscillation. The generated oscillators employ two grounded capacitors and have the advantage of their ability to absorb parasitic element effects. Three classes are considered in this paper, class I oscillators have a common node between one of the capacitors and one of the two grounded resistors. Class II oscillators have a common node between one of the capacitors and the floating resistor. Class III has all three resistors being grounded and one of them shares a node with one of the capacitors. It should be noted that this is the first paper in the literature to use nodal Admittance Matrix expansion in the generation of current conveyor oscillators. Spice simulation results are included to support the theory. The proposed method can be generalized to other active devices.

  • Use of Mirror Elements in the Active Device Synthesis by Admittance Matrix Expansion
    IEEE Transactions on Circuits and Systems, 2008
    Co-Authors: Ramy A. Saad, Ahmed M. Soliman
    Abstract:

    This paper proposes a modification for the symbolic synthesis method of analog circuits using Admittance Matrix expansion. The modification involves a generalization of the synthesis approach to employ mirror elements (voltage mirrors and current mirrors) in the Admittance Matrix expansion and ideal description of active elements, rather than using only nullor elements (nullators and norators). Accordingly, more alternative ideal representations, based on nullor-mirror elements, can be realized and a wide range of active elements can be used in the circuit synthesis. Systematic synthesis of the CCII-based generalized impedance converters (GICs) is presented as an application example to illustrate the potential of this generalized approach. Multiple equivalent nullor-mirror realizations for the GIC could be extracted easily, by virtue of using mirror elements in the Admittance Matrix expansion. Consequently, numerous circuit realizations, spanning various combinations of CCII types, have been generated in a simple and direct way.

Izudin Dzafic - One of the best experts on this subject based on the ideXlab platform.

  • Generalized $\pi$ Fortescue Equivalent Admittance Matrix 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 Admittance Matrix 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.