## [JAC048] High-Frequency Induction Heating Analysis of a Printer Roller

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### Overview

A printer works by running a piece of paper with toner on it between a heated fuser roller and a pressure roller. The heated fuser roller then applies heat to fix the toner to the paper. The fuser roller needs to have uniform temperature distribution in order to handle various types of paper. It also requires the ability to heat up rapidly in order to shorten the standby time, allowing the person using the printer to print documents quickly.
A magnetic field analysis using the finite element method (FEM) is useful in examining several aspects of the process, including: Differences in heating from the heating coil’s geometry or placement, what kind of eddy currents are generated in the roller’s thin surface and whether they provide uniform temperature, and how the magnetic flux flow spreads to the roller, air, and core.
This Application Note confirms the non-uniformity in temperature distribution produced by an assumed coil geometry, as well as the temperature elevation in each part caused by rotation.

### Eddy Current Loss Density Distribution

The eddy current loss density distribution of the roller is shown in fig. 1. The magnetic field generated by the coil produces eddy currents on the surface of the roller. The eddy currents are distributed on the surface of the roller due to the skin effect, which is stronger at high frequencies.

### Temperature Distribution/Temperature Variation

The temperature distribution of the roller is indicated in figures 2 and 3, and the temperature variation of the roller surface is indicated in fig. 4. Fig. 4 indicates the temperature variation of the roller at the measuring points shown in fig. 2. The measuring points have been selected in order to be able to confirm the temperature variation in the circumferential direction and the rotation axis direction.
The roller is normally heated to a temperature of approximately 200 deg C, but in this analysis it is only analyzed for one full revolution.
From figures 2 and 3, it is apparent that the rotational motion causes the roller’s surface to be heated in a strip. The temperature increase in the area being heated is fairly even on the axis direction of the roller, as indicated in fig. 4. On the other hand, the temperature is not distributed evenly in the circumferential direction due to timing differences in heating, and heat dissipation into the air. The coil’s geometry does not allow it to generate heat in the center part, so the temperature elevation is not smooth.