Feedback and Temperature Control

Summary of Parameter Definitions

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This is a quick reference guide, for more details each description is a link to the point in the main document where it is discussed in detail.

Parameter	Description
C_h	Heat capacity of heating element.
C_o	Heat capacity of oven.
R_o	Thermal resistance between oven and environment.
R_ho	Thermal resistance between heating element and oven.
T_e	Temperature of environment outside oven.
T_s	Set-point temperature which controller tries to achieve.
H	Hysteresis band of the On-Off controller.
P	Proportional gain of PID controller.
I	Integral action level of PID controller.
D	Derivative action level of PID controller.
M	Maximum heater power.
Noise	Equivalent noise spectral density at T_s.
Limit I?	Whether to limit the integral action outside proportional band.
Sensor Lag	The thermometer time constant.

Diagram of system model (3kB)

The red symbols on the diagram are thermal components; the black ones are electrical devices. Dashed lines represent transducers: a thermometer in one case, conversion of electrical current flowing through the heater into heat (thermal current W) in the other.

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