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The following table is split into two groups based on whether it has a graphical visual interface or not. The latter requires a separate program to provide that feature, such as Qucs-S, [1] Oregano, [2] or a schematic design application that supports external simulators, such as KiCad or gEDA.
The complex constant, which depends on amplitude and phase, is known as a phasor, or complex amplitude, [4] [5] and (in older texts) sinor [6] or even complexor. [ 6 ] A common application is in the steady-state analysis of an electrical network powered by time varying current where all signals are assumed to be sinusoidal with a common frequency.
The field produced by a single-phase winding can provide energy to a motor already rotating, but without auxiliary mechanisms the motor will not accelerate from a stop. A rotating magnetic field of steady amplitude requires that all three phase currents be equal in magnitude, and accurately displaced one-third of a cycle in phase.
The faults may be three-phase short circuit, one-phase grounded, two-phase short circuit, two-phase grounded, one-phase break, two-phase break or complex faults. Results of such an analysis may help determine the following: Magnitude of the fault current; Circuit breaker capacity; Rise in voltage in a single line due to ground fault
In power engineering, the power-flow study, or load-flow study, is a numerical analysis of the flow of electric power in an interconnected system. A power-flow study usually uses simplified notations such as a one-line diagram and per-unit system, and focuses on various aspects of AC power parameters, such as Voltage, voltage angles, real power and reactive power.
The magnitude of a complex number is the length of a straight line drawn from the origin to the point representing it. The Smith chart uses the same convention, noting that, in the normalised impedance plane, the positive x -axis extends from the center of the Smith chart at z T = 1 ± j 0 {\displaystyle \,z_{\mathsf {T}}=1\pm j0\,} to the ...
The complex gain G of this circuit is then computed by dividing output by input: G = 2 V j ⋅ 1 V = − 2 j . {\displaystyle G={\frac {2\ V}{j\cdot 1\ V}}=-2j.} This (unitless) complex number incorporates both the magnitude of the change in amplitude (as the absolute value ) and the phase change (as the argument ).
A simple example of a Butterworth filter is the third-order low-pass design shown in the figure on the right, with = 4/3 F, = 1 Ω, = 3/2 H, and = 1/2 H. [3] Taking the impedance of the capacitors to be / and the impedance of the inductors to be , where = + is the complex frequency, the circuit equations yield the transfer function for this device: