##  [Swing Equation](/index.php/swing-equation) 

  ##  [Swing Equation](https://engineering.quantumdictionary.io/swing-equation-0) 

  

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**Engineering & Applied Technologies Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A second‑order differential equation that describes the rotational dynamics of a synchronous machine’s rotor angle and speed relative to a synchronously rotating reference frame, commonly written M d^2δ/dt^2 + D dδ/dt = Tm − Te where δ is rotor angle, M (or H) is the inertia‑related coefficient, D is a damping coefficient (frequency‑dependent damping may be represented), Tm is mechanical torque (o