How much does the addition iron losses relate with the supplied power?

The addition of iron losses in an electrical system, such as in transformers or electric motors, does not directly relate to the supplied power in a linear manner. Instead, iron losses (also known as core losses or magnetic losses) mainly consist of hysteresis losses and eddy current losses, which are influenced by the magnetic properties of the core material and the design of the electrical machine.

Hysteresis losses are related to the magnetization and demagnetization of the core material as the magnetic field changes direction. These losses are proportional to the frequency of the magnetic flux changes and the area of the hysteresis loop of the core material. Eddy current losses are caused by circulating currents induced in the core by the changing magnetic field, and these losses are proportional to the square of the frequency and the square of the core material thickness.

These losses are more closely related to the frequency of the power supply and the material properties of the core than to the supplied power directly. Supplied power impacts the magnetic flux density within the core material, and while higher power levels can lead to increased iron losses due to higher flux densities, the relationship is intricate and dependent on the core material’s saturation level and other design factors.

In summary, while there’s an indirect relationship where an increase in supplied power can lead to higher iron losses due to increased magnetic flux levels, the core material properties, design, and operating frequency predominately determine the extent of iron losses.