Power Magnetic Devices: A Multi-Objective Design Approach

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Presentation transcript:

Power Magnetic Devices: A Multi-Objective Design Approach Chapter 4: Force and Torque S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.1 Energy Storage Forms for flux linkage equations S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.1 Energy Storage The energy transferred to the coupling field may be expressed S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.2 Calculation of field energy We may calculate field energy as S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.2 Calculation of Field Energy Example 4.2A S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.2 Calculation of Field Energy Example 4.2B S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.2 Calculation of Field Energy S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.3 Force From Field Energy We can show S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.3 Force From Field Energy S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.3 Force From Field Energy S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.3 Force From Field Energy Example 4.3A. Suppose Example 4.3B. Suppose S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.4 Co-Energy Meaning of co-energy S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.4 Co-Energy S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.4 Co-Energy S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.4 Co-Energy Example 4.4A S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.4 Co-Energy S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.4 Co-Energy S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.4 Co-Energy Example 4.4B S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.4 Co-Energy S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.5 Force From Co-Energy We can show S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.5 Force From Co-Energy S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.5 Force From Co-Energy S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.5 Force From Co-Energy S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.5 Force From Co-Energy Example 4.5A. Find the force if S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.6 Conditions for Conservative Fields For a magnetic field to be conservative, we must have S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.6 Conditions for Conservative Fields Example 4.6A. Is the following system conservative? S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.7 Magnetically Linear Systems A magnetically linear system may be expressed as where L is not a function of current or flux linkage. If a system is magnetically linear S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.7 Magnetically Linear Systems S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.7 Magnetically Linear Systems S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.8 Torque For a rotational system, the mechanical energy transferred to the coupling field may be expressed Conclusions: S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.9 Calculating Force Using MECs Assuming that all branches with mechanical motion are magnetically linear, we may write S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.9 Calculating Force Using MECs S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.9 Calculating Force Using MECs S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.9 Calculating Force Using MECs S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.9 Calculating Force Using MECs S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

4.9 Calculating Force Using MECs S.D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach

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