China
Africa
Explore chapters and articles related to this topic
Phasor analysis of a.c. circuits
Published in David Crecraft, David Gorham, electronics, 2018
To explain the mathematical techniques which are used to analyse linear circuits containing resistive and reactive components and sinusoidal sources. This will involve the following subsidiary aims. To introduce phasor diagrams.To introduce the operator j.To explain the use of complex numbers to represent phasors.To explain how a.c. circuits can be analysed using phasors.To introduce decibels.To describe how Bode plots are used to display the frequency-response properties of linear circuits and amplifiers.To show how to sketch approximations to the Bode plots of individual linear circuits and for circuits buffered by an ideal voltage amplifier.To describe the frequency-response properties of electrical circuits containing resistance, capacitance and inductance.To introduce the principle of duality and to give examples of dual circuits.
Complex waveforms
Published in W. Bolton, Higher Engineering Science, 2012
The waveforms produced by a.c. generators is usually very nearly perfectly sinusoidal and thus the amount of harmonics is small. Most of the harmonic content of waveforms in circuits is, however, produced by non-linear circuit elements. A non-linear circuit element is one for which the current flowing through it is not proportional to the voltage across it. Examples of such devices are semiconductor diodes, transistors and ferromagnetic-cored coils. As an illustration, consider a transistor with the relationship between current and voltage shown in Figure 9.9. A sinusoidal voltage input gives rise to a distorted sinusoidal current.
Fundamental Circuit Concepts
Published in Wai-Kai Chen, Circuit Analysis and Feedback Amplifier Theory, 2018
A linear two-terminal circuit element is one for which the voltage developed across, and the current flowing through, are related to one another by a linear algebraic or a linear integro-differential equation. If the relationship between terminal voltage and corresponding current is nonlinear, the element is said to be nonlinear. A linear circuit contains only linear circuit elements, while a circuit is said to be nonlinear if a least one of its embedded electrical elements is nonlinear.
Optimum relay coordination for reliability evaluation of distribution system with allocation of wind turbine generators
Published in International Journal of Modelling and Simulation, 2023
Sandeep Gupta, Vidya Kant Dwivedi, Padmanabh Thakur, R.C. Bansal
The bus diagram for the power flow analysis is shown in Figure 1. Usually, the power system components, such as, transformers, capacitors, reactors, etc., are electrically modelled using the basic electrical circuit parameters, namely R, L, and C. Therefore, under steady state conditions, the modelled network is considered as the linear circuit. However, due to the presence of non-linear components, such as generators and loads, the power system networks cannot be shown as a linear network as represented in Figure 2. Boundary conditions on the network are often represented by linking nodes with zero injected capacity.