Power varies according to the square of total voltage or current and the square of the sum is not generally equal to the sum of the squares. Superposition of powers cannot be used to find total power consumed by elements even in linear circuits. Therefore, the method cannot be used if non-linear components are present. There is an underlying assumption to this method that the total current or voltage is a linear superposition of its parts. The total current through or the total voltage across a particular branch is then calculated by summing all the individual currents or voltages. All the generators other than the one being considered are removed and either short-circuited in the case of voltage generators or open-circuited in the case of current generators.
NETWORK ANALYSIS DEFINITION GENERATOR
In this method, the effect of each generator in turn is calculated. Two circuits are said to be equivalent with respect to a pair of terminals if the voltage across the terminals and current through the terminals for one network have the same relationship as the voltage and current at the terminals of the other network. The solution principles outlined here also apply to phasor analysis of AC circuits. Analysis of a circuit consists of solving for the voltages and currents present in the circuit. If the sources are constant ( DC) sources, the result is a DC circuit. For instance, one might transform a voltage generator into a current generator using Norton's theorem in order to be able to later combine the internal resistance of the generator with a parallel impedance load.Ī resistive circuit is a circuit containing only resistors, ideal current sources, and ideal voltage sources. On the other hand, it might merely change the form into one in which the components can be reduced in a later operation. A particular technique might directly reduce the number of components, for instance by combining impedances in series. This can be done by replacing physical components with other notional components that have the same effect.
Main article: Equivalent impedance transformsĪ useful procedure in network analysis is to simplify the network by reducing the number of components. These parameters can be impedances, but there is a large number of other approaches (see two-port network). The usual approach is to express the transfer function as a matrix of parameters. A three (or more) terminal component effectively has two (or more) ports and the transfer function cannot be expressed as a single impedance. one-port component), the current and voltage are taken as the input and output and the transfer function will have units of impedance or admittance (it is usually a matter of arbitrary convenience whether voltage or current is considered the input). Most often, an input port and an output port are discussed and the transfer function is described as gain or attenuation.įor a two-terminal component (i.e. The relationship of the currents and/or voltages between two ports. Often, "circuit" and "network" are used interchangeably, but many analysts reserve "network" to mean an idealised model consisting of ideal components. If there is any connection to any other circuits then a non-trivial network has been formed and at least two ports must exist. A circuit is, in this sense, a one-port network and is a trivial case to analyse. Two terminals where the current into one is identical to the current out of the other.Ī current from one terminal of a generator, through load component(s) and back into the other terminal. A conductor with a substantially zero resistance is considered to be a node for the purpose of analysis.Ī group of branches within a network joined so as to form a complete loop such that there is no other loop inside it.
NETWORK ANALYSIS DEFINITION SERIES