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it is used for linear time invariant systems
The frequency response is nothing but how fast the diode is responding for the given amount of voltage from source. The resulting waveform will be in the frequency domain representation system.
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A transfer function (also known as the system function[1] or network function and, when plotted as a graph, transfer curve) is a mathematical representation, in terms of spatial or temporal frequency, of the relation between the input and output of a linear time-invariant system with zero initial conditions and zero-point equilibrium. With optical imaging devices, for example, it is the Fourier transform of the point spread function (hence a function of spatial frequency) i.e. the intensity distribution caused by a point object in the field of view. An alternative brief definition is "a mathematical function relating the output or response of a system such as a filter circuit to the input or stimulus"[2].
bode plot is representation of a system graphicaly using frequency response and the unit of decibell.
CRFS stands for "Cortical Response Frequency Shift", which is a phenomenon observed in neuroscience relating to changes in the frequency response of cortical neurons in the brain.
System whose domain is not in time can be a time invariant system. Ex: taking photo to a fixed object. here domain is not in time so photo wont change with time
Howard J. Curfman has written: 'Method for determining the frequency-response characteristics of an element or system from the system transient output response to a known imput function'
I would suggest what you mean is to increase speed droop sensitivity. That mean you reduce speed droop percentage set point. I will answer primary impact only assuming your plant is grid connected. Assuming your current speed droop percentage set point is 10% and you have a 100MW hydro turbine generator serving a 50-Hz grid system. Therefore your droop response due to system frequency deviation is 100MW for every 5Hz (10% of your system nominal frequency of 50 Hz), or +/- 20MW/Hz or 2MW/0.1Hz. What this number does? It will be used by your governor to compensate the load of your hydro turbine as system frequency deviates from the reference frequency. As system frequency increases by 0.1Hz, the governor will subtract generator output by 2MW from the current load set point. If system frequency decreases by 0.1Hz then the governor will add 2MW to the current load set point. This is done automatically. Now you want to increase its sensitivity of your governor from this set point to 5%. You are actually doubling the response. That means the new load response will be +4MW/0.1Hz if unit system frequency reduces from the reference frequency and -4MW/0.1Hz if system frequency increases above the reference frequency. If you increase the sensitivity further to 2.5, then the new response will be +/-8MW/0.1Hz.
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
It is a system of linear equations which does not have a solution.
Linear system follows principal of superposition and homogeneity and Non linear system does not follow the same.