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The usual waveform of alternating current in most electric power circuits is a sine wave, whose positive half-period corresponds with positive direction of the current and vice versa (the full period is called a cycle). "Alternating current" most commonly refers to power distribution, but a wide range of other applications are technically ...
Then, is said to be "at the same phase" at two argument values and (that is, () = ()) if the difference between them is a whole number of periods. The numeric value of the phase φ ( t ) {\displaystyle \varphi (t)} depends on the arbitrary choice of the start of each period, and on the interval of angles that each period is to be mapped to.
However, since even for zero frequency difference there may exist initial states of loop such that cycle slipping may take place during the acquisition process, the consideration of initial state of the loop is of utmost importance for the cycle slip analysis and, therefore, Gardner’s concept of lock-in frequency lacked rigor and required ...
symbolic circuit analysis Analytical circuit analysis in terms of expressions with variables, instead of numerical solutions for a particular case of values. symmetrical components A technique to simplify analysis of unbalanced polyphase systems. synchro A synchromotor, a class of electrical motors that follows the rotation of a source ...
A duty cycle or power cycle is the fraction of one period in which a signal or system is active. [1] [2] [3] Duty cycle is commonly expressed as a percentage or a ratio. A period is the time it takes for a signal to complete an on-and-off cycle. As a formula, a duty cycle (%) may be expressed as: = % [2]
Simple examples of periodic waveforms include the following, where is time, is wavelength, is amplitude and is phase: . Sine wave: (,,,) = . The amplitude of the waveform follows a trigonometric sine function with respect to time.
Steady state is also used as an approximation in systems with on-going transient signals, such as audio systems, to allow simplified analysis of first order performance. Sinusoidal Steady State Analysis is a method for analyzing alternating current circuits using the same techniques as for solving DC circuits.
These balances encapsulate the circuit analysis simplifications used for steady-state AC circuits. [6] An example of transient oscillation can be found in digital (pulse) signals in computer networks. [7] Each pulse produces two transients, an oscillation resulting from the sudden rise in voltage and another oscillation from the sudden drop in ...