Apparatus to Control the Total Energy Flux into the Top Ingot Surface During Vacuum Arc Remelting Processes
AssigneeSpecialty Metals Processing Consortium
InventorsRodney L. Williamson, David K. Melgaard, Joseph J. Beaman
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Abstract
A Vacuum Arc Remelting controller apparatus wherein process control is accomplished primarily through control of pool power. Pool power being defined as the total energy flux into a top ingot surface of the VAR ingot. The controller apparatus of the present invention comprises a controller computer that transmits commands to the host furnance through an ethernet connection.
Claims12
An apparatus for controlling pool power, pool power being defined as the total energy flux into a top ingot surface during vacuum arc remelting processes, the apparatus comprising:
- a. a remelting furnace comprising a movable electrode, an electrode drive, and a programmable logic controller;
- b. an electrical current supply that supplies current to the electrode;
- c. an ingot pool located beneath the electrode, the ingot pool comprising molten metal from the electrode;
- d. a controller computer that communicates with the programmable logic controller using a communication protocol comprising an ethernet connection and which sends two separate and distinct controller signals over the connection from two different controllers programmed into the computer;
- e. a first controller that adjusts current supplied to the remelting furnace based upon a predetermined pool power reference value, the pool power reference value being defined as the sum of a total melt power entering the ingot pool as enthalpy contained in molten metal dripping from the melting electrode plus a fraction, ε, of an electrical arc power, the fraction consisting of the arc power collected by the ingot pool surface, wherein the first controller computer employs the following equation to calculate the adjusted current:
- I
- =
- -
- V
- CF
- 2
-
- (
- R
- I
- +
- R
- G
-
- G
- )
- +
- (
- V
- CF
- 2
-
- (
- R
- I
- +
- R
- G
-
- G
- )
- )
- 2
- +
- P
- pool
- +
- α
- r
-
- C
- S
-
-
- Δ
-
- A
- e
-
- h
- sup
- Δ
- (
- μ
-
-
- C
- Sp
-
- h
- sup
- h
- m
- +
- ɛ
- )
-
- (
- R
- I
- +
- R
- G
-
- G
- )
- ,
- wherein Ppool,ref is a pool power reference setpoint, hsup is a volume specific enthalpy at superheat temperature, VCF is a cathode fall voltage, RI is a VAR circuit resistance less an electrode gap resistance, RG is an experimentally determined electrode gap resistance parameter, G is an electrode gap, Ae is an electrode cross-sectional area, αr is a room temperature thermal diffusivity, CSΔ and CSp are material dependent constants, μ is a process efficiency, Δ is an electrode thermal boundary layer, and hm is a volume specific enthalpy at melt temperature;
- and
- f. a second controller that adjusts the remelting furnace's electrode drive speed based upon a predetermined electrode gap reference value, Gref, and a predetermined pool power reference value, Ppool,ref, wherein the adjusted electrode drive speed is calculated from the following equation:
- f
- G
- =
- a
- h
- sup
-
- A
- e
-
- {
- P
- pool
- ,
- ref
- -
- ɛ
-
- [
- (
- V
- CF
- )
-
- I
- +
- (
- R
- I
- +
- R
- G
-
- G
- )
-
- I
- 2
- ]
- }
- wherein α is a fill ratio parameter, hsup is a volume specific enthalpy at superheat temperature, ε is an arc power fraction to the pool surface, VCF is a cathode fall voltage, RI is a VAR circuit resistance less an electrode gap resistance, RG is an experimentally determined electrode gap resistance parameter, G is an electrode gap, Ae is an electrode cross-sectional area, and I is a process current.
An apparatus for controlling pool power, pool power being defined as the total energy flux into a top ingot surface during vacuum arc remelting processes, the apparatus comprising:
- a. a remelting furnace comprising a movable electrode, an electrode drive and a programmable logic controller;
- b. an electrical current supply that supplies current to the electrode;
- c. an ingot pool located beneath the electrode, the ingot pool comprising molten metal from the electrode;
- d. a controller computer that communicates with the programmable logic controller using a communication protocol comprising an ethernet connection, and which sends two separate and distinct controller signals over the connection from two different controllers programmed into the computer;
- e. a first controller that adjusts the current supplied to the remelting furnace based upon a predetermined pool power reference value, the pool power reference value being defined as the sum of a total melt power entering the ingot pool as enthalpy contained in molten metal dripping from the melting electrode plus a fraction, ε, of an electrical arc power, the fraction comprising the arc power collected by the ingot pool surface, wherein the first controller computer employs the following equation to calculate the adjusted current:
- f
- I
- =
- -
- (
- V
- CF
- +
- 〈
- V
- ^
- b
- 〉
- )
- 2
-
- (
- R
- I
- +
- R
- G
-
- 〈
- G
- ^
- 〉
- )
- +
- (
- (
- V
- CF
- +
- 〈
- V
- ^
- b
- 〉
- )
- 2
-
- (
- R
- I
- +
- R
- G
-
- 〈
- G
- ^
- 〉
- )
- )
- 2
- +
- 〈
- P
- pool
- ,
- ref
- 〉
- +
- α
- r
-
- C
- S
-
-
- Δ
-
- A
- e
-
- h
- sup
- 〈
- Δ
- ^
- 〉
- (
- 〈
- μ
- ^
- 〉
-
- C
- Sp
-
- h
- sup
- h
- m
- +
- ɛ
- )
-
- (
- R
- I
- +
- R
- G
-
- 〈
- G
- ^
- 〉
- )
- ,
- wherein Ppool is a pool power reference setpoint, hsup is a volume specific enthalpy at superheat temperature, ε is an arc power fraction to the pool surface, VCF is a cathode fall voltage, RI is a VAR circuit resistance less an electrode gap resistance, RG is an experimentally determined electrode gap resistance parameter, G is an electrode gap, Ae is an electrode cross-sectional area, a, is a room temperature thermal diffusivity, CSΔ and CSp are material dependent constants, μ is a process efficiency, Δ is an electrode thermal boundary layer, and hm is a volume specific enthalpy at melt temperature, Vb is a voltage bias, a circumflex over a variable indicates that it is an estimated value supplied by a nonlinear remelting estimator, and the angular brackets indicate variables supplied to the equation as opposed to constants, and
- f. a second controller that adjusts the remelting furnace's electrode drive speed based upon a predetermined electrode gap reference value, Gref, and a predetermined pool power reference value, Ppool,ref, wherein the adjusted electrode drive speed is calculated from the following equation:
- f
- G
- =
- a
- h
- sup
-
- A
- e
-
- {
- 〈
- P
- pool
- ,
- ref
- 〉
- -
- ɛ
-
- [
- (
- V
- CF
- +
- 〈
- V
- ^
- b
- 〉
- )
-
- I
- +
- (
- R
- I
- +
- R
- G
-
- 〈
- G
- ^
- 〉
- )
-
- I
- 2
- ]
- }
- wherein α is a fill ratio parameter, hsup is a volume specific enthalpy at superheat temperature, ε is an arc power fraction to the pool surface, VCF is a cathode fall voltage, Vb is a bias voltage, RI is a VAR circuit resistance less an electrode gap resistance, RG is an experimentally determined electrode gap resistance parameter, G is an electrode gap, Ae is an electrode cross-sectional area, I is a process current, a circumflex over a variable indicates that it is an estimated value supplied by a nonlinear remelting estimator, and the angular brackets indicate variables supplied to the equation as opposed to constants.
Dependencies are inferred from the claim text.