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The difference between system overshoot and system lag is called system oscillation. System overshoot refers to a transient phenomenon where the system response temporarily exceeds the desired setpoint before stabilizing. System lag, on the other hand, refers to the delay or time taken for a system to respond to a change in the input.
To calculate the damping ratio in a system, you can use the formula: -ln(overshoot/100) / sqrt(pi2 ln2(overshoot/100)). This formula involves the natural logarithm and square root functions. The damping ratio is a measure of how quickly a system returns to equilibrium after being disturbed.
An overdamped system is characterized by slow response time and no oscillations in its output. It reaches its steady state without any overshoot or oscillations.
Differential pressure is the difference in pressure between two points in a fluid system, while static pressure is the pressure at a single point in the system.
In higher order systems, the damping ratio is determined by the ratio of the actual damping in the system to the critical damping value corresponding to the highest order term in the system transfer function. The damping ratio influences the system's response to a step input, affecting overshoot and settling time. High damping ratios result in quicker settling times but may lead to more overshoot.
The differential pressure equation used to calculate the pressure difference between two points in a fluid system is P gh, where P is the pressure difference, is the density of the fluid, g is the acceleration due to gravity, and h is the height difference between the two points.