Examples
Examples
Try the starting example
- Conversion: 0 parallel to series, 1 series to parallel
- 0
- Kp parallel or K series
- 4
- Ki parallel or Ti series
- 1
- Kd parallel or Td series
- 1
- Equivalent parameter sets [K,Ti,Td] or [Kp,Ki,Kd] JSON
- [[0.267949192431,0.267949192431,3.73205080757],[3.73205080757,3.73205080757,0.267949192431]]
Try another scenario
- Conversion: 0 parallel to series, 1 series to parallel
- 1
- Kp parallel or K series
- 4
- Ki parallel or Ti series
- 1
- Kd parallel or Td series
- 1
- Equivalent parameter sets [K,Ti,Td] or [Kp,Ki,Kd] JSON
- [[8,4,4]]
Calculation method
Calculation method
Equivalent parameter sets [K,Ti,Td] or [Kp,Ki,Kd] JSON
Series K(1+1/(Ti s))(1+Td s) expands to parallel Kp+Ki/s+Kd s. Report both positive real series branches when defined; zero integral/derivative cases excluded.
Symbols and units
- a
- Conversion: 0 parallel to series, 1 series to parallel
- b
- Kp parallel or K series
- c
- Ki parallel or Ti series
- d
- Kd parallel or Td series
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- User-supplied measurements and assumptions; Series K(1+1/(Ti s))(1+Td s) expands to parallel Kp+Ki/s+Kd s. Report both positive real series branches when defined; zero integral/derivative cases excluded. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.