// multi-utility computation suite · offline · instant · precise
┌──────────────────────────┐
│ [c] calcalyst_ │
│ computation suite │
└──────────────────────────┘
// select a module to initialize
/ search↵ open firstesc close
// adsenseEMPTY_LEADER_SLOT728×90
// adsenseMOBILE_ANCHOR_SLOT320×50
// keyboard_shortcuts
/focus search
↑↓navigate module list
Enter
open first result from search
open highlighted
compute when module is open
compute when focused in a field
Escclose module · clear selection
⌫
eng.PID-tuning-Ziegler-Nichols Calculator
Calculates Ziegler-Nichols PID tuning from open-loop step response (process gain, dead time, and time constant). The reaction curve method uses the maximum slope of the step response to estimate process gain, dead time, and lag — a quick approximation for slow processes.
Inputs
Ku
Reference formula or conversion factor shown for context.
Tu S
Time for one complete cycle (s). Period = 1 / frequency. A 50 Hz signal has a 20 ms period.
Results
P gain Kp
The improvement or increase over the baseline.
integral time Ti (s)
Area under the curve between the specified limits. In physics: integral of velocity = displacement; integral of force over time = impulse.
derivative time Td (s)
The instantaneous rate of change — the slope of the tangent line at a point. In physics: derivative of position = velocity; derivative of velocity = acceleration.
Ki = Kp/Ti
Reference formula or conversion factor shown for context.
Kd = Kp·Td
Reference formula or conversion factor shown for context.