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Numerical Analysis of Magnetic Pulse Welding Process
Thursday, October 5, 2023
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HOME / Applications / Magnetic Levitation for Energy Harvesting

Magnetic Levitation for Energy Harvesting

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Introduction

 

Developing local renewable energy resources promotes energy independence, reduces dependence on foreign sources, and enhances energy security. By transitioning to these renewable sources, we can reduce greenhouse gas emissions and mitigate the impacts of climate change, including rising temperatures, extreme weather events, and sea-level rise. Magnetic levitation energy harvesting systems have gained attention as a sustainable and efficient solution for converting mechanical vibrations into electrical energy. They utilize ambient vibrations or movements, which are naturally occurring and readily available in the environment. By converting these vibrations into electricity, it promotes sustainability by utilizing renewable energy sources and reducing reliance on traditional power generation methods.

In this study, we will see the invaluable capabilities of EMWorks’s powerful FEA tool, EMS for SOLIDWORKS, in modeling, analyzing, and optimizing maglev-based energy harvesters.
 

Different Topologies of Maglev-Based Energy Harvesting Systems

 

The Electromagnetic Vibrational Energy Harvesters system consists of two fixed magnets, a floating magnet in the middle surrounded by two coaxial coils. The two fixed magnets are positioned in such a way that their magnetic fields create a stable levitation zone in which the floating magnet can be suspended. The floating magnet is typically designed to be attracted to both fixed magnets, resulting in a stable levitated position between them. The two coaxial coils are positioned around the levitating magnet, with one coil on each side. They are typically made of wire wound in a coil shape and are designed to capture the magnetic field variations generated by the movement of the magnets.
The polarity of the magnets is arranged in a specific manner to enable the central magnet to float while its lateral motion is constrained by enclosing it in a hollow plastic tube.






A Typically Magnetic Levitation-Based Energy Harvesting System


Fig. 1. A Typically Magnetic Levitation-Based Energy Harvesting System

 
Here are some of the main topologies used in magnetic levitation energy harvesters:
  • Single-Coil Topology (Figure 2): In this configuration, a single coil is used to capture the magnetic field variation induced by the relative motion between the magnet and the coil.
  • Bistable Topology (Figure 3): Bistable energy harvesters utilize two coils and one floating magnet. The magnets are positioned such that they can attract or repel each other depending on their relative positions.
  • Multi-Coil multi-magnets Topology (Figures 4 and 5): This topology employs two coils and multiple magnets arranged in specific configurations.
 
Single Coil: Single Floating Magnet [1]

Fig. 2. Single Coil: Single Floating Magnet [1]


Two Coils: Single Floating Magnet [2]

Fig. 3. Two Coils: Single Floating Magnet [2]


Two Coils: Multi Floating Magnets [3]: Uniform Magnetization
 

Fig. 4. Two Coils: Multi Floating Magnets [3]: Uniform Magnetization


Two Coils: Multi Floating Magnets [3]: Halbach Magnetization

Fig. 5. Two Coils: Multi Floating Magnets [3]: Halbach Magnetization
 

Design Parameters

 

Table 1 summarizes the design parameters of the different topologies, to be simulated using EMS for SOLIDWORKS. All magnets are made of NdFeb N4212 material and the coils are made of copper material. The system is prevented by enclosing it in a hollow plastic tube.
 

  

Design Parameters of the Simulated Topologies

Table 1. Design Parameters of the Simulated Topologies
 

EMWorks Solutions

 

EMS, an advanced FEA tool developed by EMWorks, Inc., helps with the optimization of the energy harvesting process. By considering the magnet properties, geometry, and coil arrangement, EMS analyzes factors such as magnetic flux density, field gradients, and interactions between magnets and coils. This analysis aids in optimizing the magnet configuration and coil design for efficient energy conversion?.
There are several important outputs that can be investigated to assess the performance and effectiveness of the system.

Here are some key outputs to consider:
 

Restoring Force

 

The restoring force refers to the force that brings the magnetically levitated object back to its equilibrium position after it has been displaced. ?
The restoration force is often actively controlled and adjusted to regulate the position of the levitating component. Simulation using EMS for SOLIDWORKS can help in designing and optimizing the control mechanisms that generate the restoration force. By analyzing the forces acting on the levitating component, engineers can develop feedback control systems that adjust the magnetic fields or currents to maintain the desired levitation height and stability.

The restoring force plot is typically represented as a graph with the applied displacement on the x-axis and the restoring force on the y-axis. 
Figures 6, 7, 8, and 9 show the plot of the restoring force for the four simulated topologies, respectively. The plots show how the restoring force changes as the levitating component is displaced from its equilibrium position. Initially, at small displacements, the restoring force may increase or decrease linearly or follow a nonlinear relationship. The specific behavior depends on the design and characteristics of the Maglev-based energy harvester topology being simulated.
 


Restoring Force - Topology 1

Fig. 6. Restoring Force - Topology 1


Restoring Force - Topology 2

Fig. 7. Restoring Force Topology 2


 Restoring Force - Topology 3: Uniform Magnetization

Fig. 8. Restoring Force Topology 3: Uniform Magnetization


Restoring Force - Topology 3: Halbach Magnetization

Fig. 9. Restoring Force Topology 3: Halbach Magnetization
 

The Induced Voltage

 

The induced voltage in each coil follows Faraday's law of electromagnetic induction. The changing magnetic field through the coils due to the motion of the magnet generates an electromotive force (EMF), resulting in an induced voltage across the coils. The induced voltage is directly proportional to the power generated by the energy harvester system. It represents the electrical energy generated through the conversion of mechanical energy.

In a Maglev-based energy harvester system with a single floating magnet, the induced voltage in the coil exhibits an oscillatory behavior. As the magnet oscillates or vibrates in its levitated state, the magnetic field through the coil changes periodically, resulting in alternating induced voltages with a frequency corresponding to the magnet's motion (Figure 10). In the "Two coils-single floating magnet" topology, the induced voltage in each coil can have a phase difference. Depending on the relative positions of the coils and the magnet, the induced voltage in one coil may be ahead or behind the other coil in terms of its waveform. The phase relationship can be controlled by adjusting the coil positions and orientations (Figure 11).
Induced Voltage in a Single Coil

Fig. 10. Induced Voltage in a Single Coil


Induced Voltage in Two Coils

Fig. 11. Induced Voltage in Two Coils
 

Magnetic Field

 

The magnetic field output from a Maglev-based energy harvester system is of great importance for several reasons:

  • The magnetic field is responsible for inducing electrical currents in the harvester's coils, which generate electricity. Therefore, the strength and stability of the magnetic field directly impact the power generation capability of the system.
  • The stability and reliability of the energy harvester system depend on the consistency and durability of the magnetic field. Variations or fluctuations in the magnetic field strength can lead to inconsistent power output or even system failures. Therefore, a thorough simulation using the electromagnetic FEA tool, EMS for SOLIDWORKS, allows for the evaluation of the magnetic field's stability under various operating conditions, ensuring the system's reliability.
  • Magnetic Interference: The magnetic field generated by the Maglev-based energy harvester system may interact with other nearby magnetic fields or sensitive equipment. Understanding the magnetic field's behavior and its potential interference with surrounding devices is crucial for ensuring compatibility and preventing any adverse effects on neighboring systems.

Figures 12, 13, 14, and 15 show the distribution of the magnetic flux density when the floating magnet is in the equilibrium position for the four simulated topologies, respectively.

 

Magnetic Flux Density Distribution - Topology 1

Fig. 12. Magnetic Flux Density Distribution - Topology 1

 
 
 Magnetic Flux Density Distribution - Topology 2

Fig. 13. Magnetic Flux Density Distribution - Topology 2



Magnetic Flux Density Distribution - Topology 3: Uniform Magnetization

Fig. 14. Magnetic Flux Density Distribution - Topology 3: Uniform Magnetization



Magnetic Flux Density Distribution - Topology 3: Halbach Magnetization

Fig. 15. Magnetic Flux Density Distribution - Topology 3: Halbach Magnetization
 


Conclusion

 

Generating sustainable and clean energy is crucial for combating climate change, preserving the environment, safeguarding human health, ensuring energy security, driving economic growth, fostering innovation, and promoting global collaboration. It is a vital step towards creating a sustainable and thriving future for us and future generations. Leveraging EMS simulations enhances the efficiency, performance, and reliability of maglev-based energy harvesters, driving advancements in sustainable energy generation. They provide a comprehensive understanding of magnetic fields, predict induced voltage and power, analyze stability, and identify potential interference. These capabilities contribute to the development of efficient and high-performing energy harvesting systems.
 

References 


[1] Marco P. Soares dos Santos, Jorge A. F. Ferreira, José A. O. Simões, Ricardo Pascoal, João Torrão, Xiaozheng Xue& Edward P. Furlani, Magnetic levitation-based?
electromagnetic energy harvesting: a semi-analytical non-linear model for energy transduction?
[2] Tobias Willemoes Jensen, Andrea R. Insinga, Johan Christian Ehlers & Rasmus Bjørk, The full phase space dynamics of a magnetically levitated electromagnetic vibration harvester?
[3] https://www.degruyter.com/document/doi/10.1515/ehs-2013-0005/html