# Feasibility Study of the Electromagnetic Damper for Cable Structures Using Real-Time Hybrid Simulation

^{*}

## Abstract

**:**

## 1. Introduction

## 2. Electromagnetic (EM) Damper Design

## 3. Characteristic Test of the EM Damper

## 4. Hybrid Simulation of the EM Damper

## 5. Conclusions

## Acknowledgments

## Author Contributions

## Conflicts of Interest

## References

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**Figure 1.**Electromagnetic (EM) damper configuration and design parameters [12].

**Table 1.**Electromagnetic (EM) damper design parameter [12].

Parameter | Symbol | Description |
---|---|---|

Pole pitch | ${\tau}_{p}$ | Distance between changes in polarity |

Magnet length | ${\tau}_{m}$ | Actual length of magnet |

Pole shoe width | ${\tau}_{f}$ | Width of the pole shoes |

Air gap | $g$ | Distance between the mover and armature windings |

Number of poles | $p$ | Even number of poles in the machine |

Coil width | ${\tau}_{w}$ | Width of each coil in the armature |

Wire radius | ${r}_{w}$ | Radius of the coil wire |

Coil turns | ${N}_{w}$ | Number of turns on each coil |

Active coil turns | ${N}_{a}$ | Number of turns on each coil intercepted by the pole shoe flux |

Mover radius | ${r}_{m}$ | Radius of the outside surface of the magnets |

Armature radius | ${r}_{i}$ | Radius of the inside surface of the armature |

Stator yoke radius | ${r}_{s}$ | Radius of the inside surface of the stator yoke |

Machine radius | ${r}_{e}$ | Radius of the outer surface of the motor |

Yoke thickness | ${h}_{y}$ | The thickness of the armature shell |

Parameter | Symbol | Dimension |
---|---|---|

Pole pitch | ${\tau}_{p}$ | 0.07 m |

Magnet length | ${\tau}_{m}$ | 0.06 m |

Air gap | $g$ | 0.001 m |

Number of poles | $p$ | 1 |

Coil height | ${h}_{w}$ | 0.02 m |

Wire radius | ${r}_{w}$ | 0.0045 m |

Coil turns | ${N}_{w}$ | 1400 turn |

Coil resistance | $R$ | 27 Ω |

Yoke thickness | ${h}_{y}$ | 0.02 m |

Amplitude | Frequency | External Resistance | |
---|---|---|---|

Case 1–4 | 6 mm, 9 mm, 12 mm, 15 mm | 1 Hz | 0 ohm |

Case 5–8 | 6 mm, 9 mm, 12 mm, 15 mm | 2 Hz | 0 ohm |

Case 9–12 | 6 mm, 9 mm, 12 mm, 15 mm | 3 Hz | 0 ohm |

Case 13–16 | 6 mm, 9 mm, 12 mm, 15 mm | 4 Hz | 0 ohm |

Case 17–19 | 6 mm, 9 mm, 12 mm | 5 Hz | 0 ohm |

Properties | Value |
---|---|

Mass per unit length | 22.1 kg/m |

Cable length | 20 m |

Diameter | 54.6 mm |

Cable tension | 50 kN |

Young’s modulus | 189 MPa |

Inclination | 8.38° |

Cross section area | 0.0023${\text{}\mathrm{m}}^{2}$ |

Location of damper | 5% length of cable |

Case | Damping Ratio |
---|---|

Uncontrolled | 0.0048 |

Controlled 0 ohm | 0.0132 |

Controlled 27 ohm | 0.0113 |

Controlled 54 ohm | 0.0100 |

Displacement (cm) | Acceleration ($\mathbf{m}/{\mathbf{s}}^{2}$) | FFT Amplitude | |
---|---|---|---|

1st natural frequency | 3.717 | 2.044 | 1.136 |

1.447 (61.07%) | 0.839 (58.95%) | 0.520 (54.26%) | |

2nd natural frequency | 1.106 | 2.434 | 1.800 |

0.343 (68.99%) | 0.856 (64.83%) | 0.629 (65.05%) | |

3rd natural frequency | 0.424 | 2.092 | 1.670 |

0.152 (64.15%) | 0.934 (55.35%) | 0.572 (65.75%) |

RMS Voltage (V) | RMS Current (A) | RMS Power (mW) | |
---|---|---|---|

0 ohm | 0.0801 | 0.1881 | 15.1 |

2 ohm | 0.3679 | 0.1841 | 67.7 |

4 ohm | 0.6865 | 0.1730 | 118.8 |

6 ohm | 0.9799 | 0.1647 | 161.3 |

8 ohm | 1.2486 | 0.1571 | 196.1 |

10 ohm | 1.4984 | 0.1506 | 225.7 |

27 ohm | 2.9981 | 0.1170 | 350.8 |

54 ohm | 4.3179 | 0.0863 | 372.6 |

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**MDPI and ACS Style**

Jung, H.-Y.; Kim, I.-H.; Jung, H.-J. Feasibility Study of the Electromagnetic Damper for Cable Structures Using Real-Time Hybrid Simulation. *Sensors* **2017**, *17*, 2499.
https://doi.org/10.3390/s17112499

**AMA Style**

Jung H-Y, Kim I-H, Jung H-J. Feasibility Study of the Electromagnetic Damper for Cable Structures Using Real-Time Hybrid Simulation. *Sensors*. 2017; 17(11):2499.
https://doi.org/10.3390/s17112499

**Chicago/Turabian Style**

Jung, Ho-Yeon, In-Ho Kim, and Hyung-Jo Jung. 2017. "Feasibility Study of the Electromagnetic Damper for Cable Structures Using Real-Time Hybrid Simulation" *Sensors* 17, no. 11: 2499.
https://doi.org/10.3390/s17112499