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What is line regulation in the context of SMPS?

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Best answer
In a 3-phase circuit, the instantaneous values of the electromotive forces (EMFs) can be represented as sinusoidal functions. For a balanced 3-phase system, the instantaneous values of the EMFs can be expressed as:

\[
E_a(t) = E_m \sin(\omega t)
\]
\[
E_b(t) = E_m \sin\left(\omega t - \frac{2\pi}{3}\right)
\]
\[
E_c(t) = E_m \sin\left(\omega t - \frac{4\pi}{3}\right)
\]

Where:
- \( E_a(t) \), \( E_b(t) \), and \( E_c(t) \) are the instantaneous EMFs in phases A, B, and C, respectively.
- \( E_m \) is the peak value of the EMF.
- \( \omega \) is the angular frequency (in radians per second).
- \( t \) is the time.

This representation assumes a balanced system with equal magnitudes of EMF in each phase and a phase difference of \( 120^\circ \) (or \( \frac{2\pi}{3} \) radians) between each phase.
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Line regulation in the context of a Switch Mode Power Supply (SMPS) refers to the ability of the power supply to maintain a constant output voltage despite variations in the input voltage. This is crucial because fluctuations in the input voltage can affect the performance of the connected load.

Line regulation is typically expressed as a ratio or a percentage, representing how much the output voltage changes in response to changes in the input voltage. For example, if the input voltage varies within a specified range, good line regulation would mean that the output voltage remains stable within an acceptable limit.

In practical terms, a well-designed SMPS will have tight line regulation, ensuring that the output voltage remains steady even when the input voltage fluctuates, which helps protect sensitive electronic components and maintain overall system performance.
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