1992
DOI: 10.1109/81.128014
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Time-domain analysis of networks with internally controlled switches

Abstract: A new computer-oriented method for the timedomain analysis of networks with internally controlled ideal switches is presented. No assumptions are made about the continuity of the circuit response at the switching instants; even Dirac impulses are permitted. In fact, it is shown that Dirac impulses must be considered for the analysis of some switched networks, even though they may only be present for intermediate steps of the analysis. Several topological changes may be needed at each switching instant to ensur… Show more

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Cited by 171 publications
(48 citation statements)
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“…The nodal voltages ( ) are found by solving a system of algebraical modified nodal equations that describes the regulator at time (1) with ( ) indicating the value of the line voltage at and the configuration in which the converter was operating at . 2) Express the voltage of each branch formed by a capacitor and its series parasitic resistance , and of each branch formed by an inductor in series with its parasitic resistance , as differences of appropriate nodal voltages, allowing for calculation of the capacitor voltages and inductor currents at the next step in an exponential way (2) The matrices in (2) are expressions of exponentials / ( ), / ( / ), . Replacing ( ) in (2) by (1), one gets (3) where is the state vector, and and result as simple algebraical combinations of the matrices involved in (1) and (2).…”
Section: Outline Of the Methodsmentioning
confidence: 99%
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“…The nodal voltages ( ) are found by solving a system of algebraical modified nodal equations that describes the regulator at time (1) with ( ) indicating the value of the line voltage at and the configuration in which the converter was operating at . 2) Express the voltage of each branch formed by a capacitor and its series parasitic resistance , and of each branch formed by an inductor in series with its parasitic resistance , as differences of appropriate nodal voltages, allowing for calculation of the capacitor voltages and inductor currents at the next step in an exponential way (2) The matrices in (2) are expressions of exponentials / ( ), / ( / ), . Replacing ( ) in (2) by (1), one gets (3) where is the state vector, and and result as simple algebraical combinations of the matrices involved in (1) and (2).…”
Section: Outline Of the Methodsmentioning
confidence: 99%
“…2) Express the voltage of each branch formed by a capacitor and its series parasitic resistance , and of each branch formed by an inductor in series with its parasitic resistance , as differences of appropriate nodal voltages, allowing for calculation of the capacitor voltages and inductor currents at the next step in an exponential way (2) The matrices in (2) are expressions of exponentials / ( ), / ( / ), . Replacing ( ) in (2) by (1), one gets (3) where is the state vector, and and result as simple algebraical combinations of the matrices involved in (1) and (2). Note that and are dependent only on the cyclical configuration, being the same, for a given configuration , in any cycle.…”
Section: Outline Of the Methodsmentioning
confidence: 99%
“…A rigorous treatment of this problem was presented in [11]. In this work, dirac impulses, together with forward/backward integration, were used to calculate the initial conditions after each switching in order to determine the switching states.…”
Section: Average-model Approachmentioning
confidence: 99%
“…It is conceptually similar to the technique in [11], but the implementation is more straightforward and simpler. In this technique, intermediate circuit stages are used to determine the switch state.…”
Section: Average-model Approachmentioning
confidence: 99%
“…One of these methods is piecewise linearization, in these methods nonlinear components in the circuits or systems are changed with their equivalent linear time invariant component or equivalent ideal linear switches [6][7][8][9][10][11]. For analyzing switched circuits, time domain and frequency domain methods were also studied [3,12]. In [1], the formulation of state and output equations and solutions of switched-systems were presented by using bond graph model with a new simple and more general switch definition.…”
Section: Introductionmentioning
confidence: 99%