Method for operating a power-compensated fusion furnace

1. A method for operating a power-compensated fusion furnace comprising a plurality of switching devices and a plurality of heating elements, wherein each switching device is electrically connected to a respective heating element, the method comprising:

generating heating-element calibration data for each heating element of the plurality thereof, wherein the heating-element calibration data accounts for differences in an electrical resistance between the heating elements, and provides a relationship between a required duty cycle for each heating element to an amount of power received by the heating element;

determining a calibrated duty cycle from the heating element calibration data, wherein the calibrated duty cycle equalizes power received by each of the heating elements;

altering the calibrated duty cycles by correction factors that account for position-dependent temperature variations that occur in the fusion furnace, thereby determining a corrected calibrated duty cycle; and

receiving, at each switching device, a control signal that causes the switching device to open and close as necessary to implement the corrected calibrated duty cycle for the respective electrically-connected heating element.

2. The method of claim 1 wherein determining the calibrated duty cycle for each heating element further comprises obtaining measurements of a current flowing to and a voltage across each heating element in the plurality thereof.

3. The method of claim 2 wherein determining the calibrated duty cycle for each heating element further comprises selecting a desired amount of power to be received by each heating element, wherein the desired amount of power received is the same for each heating element.

4. The method of claim 3 wherein determining the electrical duty cycle for each heating element further comprises interpolating or extrapolating the heating-element calibration data based on the selected desired amount of power.

5. The method of claim 1 and further comprising:

determining the correction factors that account for position-dependent temperature variations during the manufacture of the power-compensated fusion furnace; and

storing the correction factors in a memory of the power-compensated fusion furnace.

6. The method of claim 1 and further comprising:

determining the correction factors that account for position-dependent temperature variations for a representative fusion furnace having the same design as the power-compensated fusion furnace; and

storing the correction factors in a memory of the power-compensated fusion furnace.

7. The method of claim 1 and further comprising:

establishing a temperature control loop by monitoring a temperature in a furnace cavity that contains the heating elements; and

gating the corrected calibrated duty cycles via the temperature control loop to prevent a flow of electrical energy to the heating elements when the monitored temperature exceeds a desired temperature in the furnace cavity.

8. A method for operating a power-compensated fusion furnace comprising a plurality of heating elements disposed in a furnace cavity and a plurality of switching devices, wherein each switching device is electrically connected to a respective one of the heating elements, the method comprising:

generating correction factors, one for each heating element, which account for position-dependent temperature variations that occur in the fusion furnace;

generating heating-element calibration data; and

opening and closing each switching device in accordance with an electrical duty cycle that is determined, using the heating-element calibration data as modified by the correction factors, for the respective electrically connected heating element, wherein, at least one heating element has a different electrical duty cycle than other of the heating elements in the plurality thereof.

9. The method of claim 8 wherein generating heating-element calibration data further comprises:

(i) generating one or more control signals that close one of the switching devices but not others of the switching devices, thereby causing all electrical energy to flow through the one closed switching device;

(ii) receiving measurements comprising current flowing to and voltage across the heating element associated with the one closed switch, and

(iii) calculating an amount of power received by the heating element based on the measurements.

10. A method for operating a power-compensated fusion furnace having a plurality of heating elements, the method comprising:

determining power delivered to each heating element;

determining a relationship between the power delivered and duty cycle for each heating element in the plurality;

determining, from the relationship and a desired amount of power to be received, a calibrated duty cycle for each heating element;

determining a corrected calibrated duty cycle by applying, to the calibrated duty cycle, correction factors for position-dependent temperature variations; and

cycling a plurality of switching devices, one of which being connected to a respective heating element, to implement the corrected calibrated duty cycle.

11. The method of claim 10 further comprising gating the corrected calibrated duty cycles via a temperature control loop that monitors a temperature in a furnace cavity that contains the heating elements.