Assumptions
This section simplifies the original problem and helps in developing the theoretical models by filling in the missing information for the physical system. The assumptions refine the scope by providing more detail.
Power plant: The Power Plant and the Sensor are coupled as a single unit. (RefBy: A:Spring Stiffness Coefficient, A:Transfer Function, A:Spring Mass, and A:Spring Damping Coefficient.)
Decoupled equation: The decoupled form of the PD Controller equation used in this simulation. (RefBy: DD:ddCtrlVar.)
Set-Point: The Set-Point is constant throughout the simulation. (RefBy: IM:pdEquationIM and DD:ddProcessError.)
External disturbance: There are no external disturbances to the Power Plant during the simulation. (RefBy: GD:gdPowerPlant.)
Initial Value: The initial value of the Process Variable is assumed to be zero. (RefBy: DD:ddProcessError.)
Parallel Equation: The Parallel form of the equation is used for the PD Controller. (RefBy: DD:ddCtrlVar.)
Unfiltered Derivative: A pure derivative function is used for this simulation; there are no filters applied. (RefBy: DD:ddDerivCtrl.)
Transfer Function: The combined Power Plant and Sensor (A:Power plant) are characterized by a Second Order mass-spring-damper System. (RefBy: TM:tmSOSystem.)
Spring Mass: The mass of the spring in the mass-spring-damper system (A:Power plant) is assumed to be 1 kilogram. (RefBy: GD:gdPowerPlant and LC:DC Gain and Time Constant.)
Spring Damping Coefficient: The Damping Coefficient of the spring in the mass-spring-damper system (A:Power plant) is assumed to be 1. (RefBy: GD:gdPowerPlant and LC:DC Gain and Time Constant.)
Spring Stiffness Coefficient: The Stiffness Coefficient of the spring in the mass-spring-damper system (A:Power plant) is assumed to be 20. (RefBy: GD:gdPowerPlant and LC:DC Gain and Time Constant.)