Systems and methods for operating an electromagnetic actuator

• US 6,966,040 B2
• Filed: 08/05/2003
• Issued: 11/15/2005
• Est. Priority Date: 03/14/2003
• Status: Expired due to Fees

• Current Assignee: Combustion Dynamics Corporation
• Original Assignee: Combustion Dynamics Corporation
• Inventors: Ismailov, Murad
• Primary Examiner(s): Siek, Vuthe
• Application Number:
  US10/634,436
• Publication Number:
  US 20040181760A1
• Time in Patent Office: 833 Days
• Field of Search: 716/1, 703/2, 703/14, 123/90.11, 318254-255, 360/78.04, 360/69, 360/78.12, 250/515.1, 250/505.1, 251257-263, 251/274
• US Class Current: 703/2
• CPC Class Codes: F02D 2041/1433 using a model or simulation of the system
• CPC Class Codes: F02D 41/20 Output circuits, e.g. for controlling currents in command coils
• CPC Class Codes: F02M 51/0664 having a cylindrically or partly cylindrically shaped armature, e.g. entering the winding; having a plate-shaped or undulated armature entering the winding
• CPC Class Codes: F02M 57/023 mechanical
• CPC Class Codes: F02M 59/366 Valves being actuated electrically
• CPC Class Codes: F02M 63/0017 using electromagnetic operating means
• CPC Class Codes: G06F 30/20 Design optimisation, verification or simulation optimisation, verification or simulation of circuit designs G06F30/30
• CPC Class Codes: G06F 30/36 Circuit design at the analogue level
• CPC Class Codes: G11B 5/5526 Control therefor; circuits, track configurations or relative disposition of servo-information transducers and servo-information tracks for control thereof G11B5/556 takes precedence
• CPC Class Codes: H01F 2007/1855 using a stored table to deduce one variable from another
• CPC Class Codes: H01F 7/13 characterised by pulling-force characteristics
• CPC Class Codes: H01F 7/1607 Armatures entering the winding
• CPC Class Codes: H01F 7/1844 Monitoring or fail-safe circuits for relays H01H47/002
• CPC Class Codes: H02P 13/00 Arrangements for controlling transformers, reactors or choke coils, for the purpose of obtaining a desired output regulation systems using transformers, reactors or choke coils G05F; transformers H01F; feeding a network in conjunction with a generator or a converter H02J; control or regulation of converters H02M
• CPC Class Codes: H03K 17/64 having inductive loads
• CPC Class Codes: H03K 17/661 connected to both load terminals

Abstract

One embodiment of the present invention relates to a method for constructing a circuit for controlling an electromagnetic actuator. Another embodiment of the present invention relates to a method for designing a circuit for controlling an electromagnetic actuator.

Claims

1. A method for constructing a circuit for controlling an electromagnetic actuator, which electromagnetic actuator includes a coil having associated therewith a resistance R₁ and an inductance L₁, comprising:

modeling the electromagnetic actuator with an equation;

calculating at least one resistance R_2j and at least one inductance L_2j, each of which is associated with at least one theoretical coil electrically connected to and physically remote from the electromagnetic actuator, wherein the resistance R_2j and the inductance L_2j are calculated by satisfying the equation using at least the function;

$I_F<br><br>\left(t\right)={\exp }^{\frac{{\mathrm{\omega <br><br>}}_{21}<br><br>t}{\underset{j}{\sum <br><br>}<br><br>\left[\exp \left({\mathrm{\omega <br><br>}}_{22<br><br>j}<br><br>t-{\mathrm{\phi <br><br>}}_j^{\mathrm{open}}\right)\right]+\underset{j}{\sum <br><br>}<br><br>\left[\exp \left({\mathrm{\omega <br><br>}}_{22<br><br>j}<br><br>t-{\mathrm{\phi <br><br>}}_j^{\mathrm{close}}\right)\right]}}$

where ω

₂₁ equals 2π

R₁/L₁, ω

_22j equals 2π

R_2j/L_2j;

φ

_j^open is a switching on phase, φ

_j^close is a switching off phase, and j identifies a particular theoretical coil; and

electrically connecting current supply means to the coil of the electromagnetic actuator, which current supply means are configured to substantially simulate the electrical effect of each theoretical coil having the calculated resistance R_2j and the calculated inductance L_2j.

2. The method of claim 1, wherein j=1 and the resistance R_2j and the inductance L_2j are calculated by satisfying the equation using at least the function:

$I_F<br><br>\left(t\right)={\mathrm{e<br><br>}}^{\frac{{\mathrm{\omega <br><br>}}_{21}<br><br>t}{\exp <br><br>\left({\mathrm{\omega <br><br>}}_{22}<br><br>t\right)}}$

3. The method of claim 1, wherein the equation is a differential equation.

4. The method of claim 3, wherein the equation is a second-order non-homogeneous ordinary differential equation.

5. The method of claim 1, wherein the current supply means includes j number of coils, each having a resistance equal to substantially the calculated resistance R_2j and each having an inductance equal to substantially the calculated inductance L_2j.

6. The method of claim 1, wherein the current supply means includes a coil having substantially the sum of each calculated resistance R_2j and substantially the sum of each calculated inductance L_2j.

7. The method of claim 1, wherein the current supply means includes computer code.

8. The method of claim 7, wherein the computer code includes at least one of:

(a) software; and

(b) firmware.

9. The method of claim 1, further comprising determining the resistance R₁ and the inductance L₁.

10. The method of claim 9, wherein the step of determining the resistance R₁ and the inductance L₁ comprises measuring the resistance R₁ and the inductance L₁.

11. The method of claim 1, wherein each resistance R_2j and each inductance L_2j is calculated by selecting a desired value for one and determining a value for the other which satisfies the equality ω

_22j equals 2π

R_2j/L_2j.

12. The method of claim 1, wherein each resistance R_2j and each inductance L_2j is calculated based upon a desired time-dependent action of the electromagnetic actuator.

13. The method of claim 1, wherein each resistance R_2j and each inductance L_2j is calculated based upon a desired frequency-dependent action of the electromagnetic actuator.

14. A method for designing a circuit for controlling an electromagnetic actuator, which electromagnetic actuator includes a coil having associated therewith a resistance R₁ and an inductance L₁, comprising:

modeling the electromagnetic actuator with an equation; and

calculating at least one resistance R_2j and at least one inductance L_2j, each of which is associated with at least one theoretical coil electrically connected to and physically remote from the electromagnetic actuator, wherein the resistance R_2j and the inductance L_2j are calculated by satisfying the equation using at least the function;

$I_F<br><br>\left(t\right)={\exp }^{\frac{{\mathrm{\omega <br><br>}}_{21}<br><br>t}{\underset{j}{\sum <br><br>}<br><br>\left[\exp \left({\mathrm{\omega <br><br>}}_{22<br><br>j}<br><br>t-{\mathrm{\phi <br><br>}}_j^{\mathrm{open}}\right)\right]+\underset{j}{\sum <br><br>}<br><br>\left[\exp \left({\mathrm{\omega <br><br>}}_{22<br><br>j}<br><br>t-{\mathrm{\phi <br><br>}}_j^{\mathrm{close}}\right)\right]}}$

where ω

₂₁ equals 2π

R₁/L₁, ω

_22j equals 2π

R_2j/L_2j;

φ

_j^open is a switching on phase, φ

_j^close is a switching off phase, and j identifies a particular theoretical coil.

15. The method of claim 14, wherein j=1 and the resistance R_2j and the inductance L_2j are calculated by satisfying the equation using at least the function:

$I_F<br><br>\left(t\right)={\mathrm{e<br><br>}}^{\frac{{\mathrm{\omega <br><br>}}_{21}<br><br>t}{\exp <br><br>\left({\mathrm{\omega <br><br>}}_{22}<br><br>t\right)}}$

16. The method of claim 14, wherein the equation is a differential equation.

17. The method of claim 16, wherein the equation is a second-order non-homogeneous ordinary differential equation.

18. The method of claim 14, further comprising determining the resistance R₁ and the inductance L₁.

19. The method of claim 18, wherein the step of determining the resistance R₁ and the inductance L₁ comprises measuring the resistance R₁ and the inductance L₁.

20. The method of claim 14, wherein each resistance R_2j and each inductance L_2j is calculated by selecting a desired value for one and determining a value for the other which satisfies the equality ω

_22j equals 2π

R_2j/L_2j.

21. The method of claim 14, wherein each resistance R_2j and each inductance L_2j is calculated based upon a desired time-dependent action of the electromagnetic actuator.

22. The method of claim 14, wherein each resistance R_2j and each inductance L_2j is calculated based upon a desired frequency-dependent action of the electromagnetic actuator.