Enter the maximum value and the step value into the Calculator. The calculator will evaluate the Percent Overshoot.
Percent Overshoot Formula
PO = (MV - SV) / SV *100
Variables:
- PO is the Percent Overshoot (%)
- MV is the maximum value
- SV is the step value
To calculate Percent Overshoot, subtract the step value from the maximum value, then divide by the step value, and finally multiply by 100.
How to Calculate Percent Overshoot?
The following steps outline how to calculate the Percent Overshoot.
- First, determine the maximum value.
- Next, determine the step value.
- Next, gather the formula from above = PO = (MV – SV) / SV *100.
- Finally, calculate the Percent Overshoot.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
maximum value = 40
step value = 20
Frequently Asked Questions
What is Percent Overshoot in control systems?
Percent Overshoot (PO) in control systems is a measure of how much the system’s output exceeds its final steady-state value during its transient response. It is used to assess the stability and performance of control systems, especially in response to a step input.
Why is calculating Percent Overshoot important?
Calculating Percent Overshoot is important because it helps engineers and designers understand the behavior of control systems under different conditions. It indicates the degree of system overshoot which, if excessive, can lead to instability and damage to the system or its components.
Can Percent Overshoot be negative?
No, Percent Overshoot cannot be negative. By definition, it measures the extent to which the system’s response exceeds the desired value. A negative overshoot would imply the system never reaches the target value, which contradicts the concept of overshoot.
How can we reduce Percent Overshoot in a system?
Reducing Percent Overshoot in a system can be achieved through various methods, including tuning the system’s parameters (like gain, damping ratio), adding compensators, or adjusting the controller settings. The goal is to improve the system’s stability and response to meet the desired performance criteria.
