Topological Analysis of Linear Nonreciprocal Networks

Mason, S. J.

doi:10.1109/jrproc.1957.278482

Cited by 36 publications

(5 citation statements)

References 3 publications

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“…As stated in Vlach and Singhal, 11 the first equation in (1) does not influence the MNA template for the VCVS. The two remaining equations correspond to the template presented in the left part of (2):…”

Section: Below)mentioning

confidence: 77%

“…A unistor can be defined as a current source controlled by the node voltage of its tail vertex (see fig. 1(c) in Mason 1 and Figure 1…”

Section: And 17)mentioning

confidence: 99%

“…Such methods allow one to compute a network function (e.g., transmittance) by means of some topological formulas. There are a few directed graph representations of linear circuits, which include unistor graphs, 1 dispersor graphs (see Starzyk 2 pp. 16 and 17) Coates' flow graphs, 3,4 closely related to Mason's flow graphs 5,6 and to transitor graphs (see Starzyk 2 pp.…”

Section: Introductionmentioning

confidence: 99%

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A unified approach to autonomous and nonautonomous models of circuit elements

Nałęcz

2020

Circuit Theory & Apps

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This paper proposes a unified approach to both autonomous models of circuit elements and nonautonomous models which contain nullator-norator pairs. The unification is based on voltage-controlled current sources as the only kind of element utilized in autonomous models. It is shown that nonautonomous models are special (limit) cases of autonomous ones as some transadmittances of these sources tend from one to infinity. A systematic approach to the creation of models which consist solely of voltage-controlled current sources and are based on multiport equations is presented and illustrated by examples. By replacing the sources with their unistor models and then by application of the known transformations to the resulting unistor graph, autonomous and nonautonomous unistor models of several basic circuit elements are obtained. Some of these models seem to be new.

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Section: Below)mentioning

confidence: 77%

“…A unistor can be defined as a current source controlled by the node voltage of its tail vertex (see fig. 1(c) in Mason 1 and Figure 1…”

Section: And 17)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A unified approach to autonomous and nonautonomous models of circuit elements

Nałęcz

2020

Circuit Theory & Apps

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“…sequenoe are related by C(z) = R(z) H(z) (1. [4][5][6][7][8] Unlike the digital component case, the output of a continuous element exists at all intersample times, and it is necessary to consider the output at these intersample times. The advantages of the z-transform …”

Section: Pr) P1=0mentioning

confidence: 99%

Design of sampled-data control systems

Yurkevich¹

2004

Design of Nonlinear Control Systems With the Highest Derivative in Feedback

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“…In this case between input vector ( X ) and output vector (r) of the subunit linear relations exist with constant P-matrices (Mason, 1953(Mason, , 1956 …”

Section: Computation By Simultaneous Modular Techniquementioning

confidence: 99%

New simultaneous modular method for calculating multistage multicomponent separation processes

1983

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A new flexible method has been developed for modelling multistage multicomponent separation processes. The method is based on the simultaneous modular approach and can be referred to as a quasilinear two-level modelling. The network is solved within each iteration as a linear one, and after each network solution the split streams are updated modularly using nonlinear submodels. The method is suited for modelling the most important separation processes with arbitrary structure and permits to use different models for the subunits or processing units. Illustrative examples and computational results are presented showing the efficiency, flexibility and capability of the method. Z. FONYO CONCLUSIONS AND SIGNIFICANCEThe simulation of the multistage multicomponent separation processes is a subject which has, in the last two decades, reached various literature. Despite the dramatic progress in our understanding which this has produced, a comprehensive simultaneous modular method capable of modelling the various multistage, multicomponent separation processes has remained out of reach. In this work, a new, flexible method has been developed and proposed to find a rigorous solution of any separation problem. The proposed simultaneous modular method is referred to as quasilinear two-level modelling because the network is solved within each iteration as a linear one, and two types of models are used for each unit. The network solution using linear submodels creates the upper level, and the nonlinear submodels create the lower level of modelling. The illustrative examples proved the stable application of the method to distillation with narrow and wide boiling mixtures as well as with nonideal mixtures, especially to absorption, extraction and interlinked distillation columns. The principal significance of the proposed modular method is that it is competitive and quite flexible; besides, it can be used with different types of models for subunits; e.g., the concept of equilibrium stage can be combined with shortcut methods. Another potentially useful feature of the method is that its technique is highly system-engineering-oriented, since the adaptation of the simultaneous modular strategy renders to use the same network solution package possible at different hierarchical levels for the computation of processing units, chemical plants, chemical complexes, etc.PROBLEM STATEMENT perfect plate). The concept of the equilibrium stage is based on the presumption that the phases leaving the stage are in thermodynamic equilibrium. The eqiiilibrium stage processes are taken to be at steady-state operation, and the term model as used herein means the complete set of assumptions and corresponding equa-'The most important separation processes (distillation, absorption, stripping, extraction and washing! can all be modelled b y use of the concept of ecluilibrium stage (alsocalled a theoretical plate or

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Topological Analysis of Linear Nonreciprocal Networks

Cited by 36 publications

References 3 publications

A unified approach to autonomous and nonautonomous models of circuit elements

A unified approach to autonomous and nonautonomous models of circuit elements

Design of sampled-data control systems

New simultaneous modular method for calculating multistage multicomponent separation processes

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