What is the formula for the height of pole shoe sufficient to accommodate the damper windings?

The height of the pole shoe sufficient to accommodate the damper windings in electrical machines, particularly in synchronous machines, is not represented by a universal formula due to the complex nature of design factors involved. Damper windings, also known as amortisseur windings in synchronous machines, serve to provide stability during transient conditions and start as a motor for some types of synchronous machines. The design and thus the required dimensions of the pole shoe to accommodate these windings depend on several factors including:

1. The machine’s rated power and speed.
2. The magnetic flux density the design aims to achieve.
3. The cooling requirements for the machine.
4. The intended use of the machine and the types of loads it will drive.

The detailed design, including the dimensions of the pole shoe, is typically achieved through a combination of analytic calculations and finite element method (FEM) simulations to ensure the magnetic field distribution is optimal, and the damper windings are adequately supported while meeting thermal and mechanical constraints.

For a specific machine design, electrical engineers would start with preliminary calculations based on the machine’s requirements (power, speed, load characteristics) and iterate through detailed design simulations to finalize the pole shoe’s dimensions. This process ensures that the machine will operate efficiently, with the necessary stability and damping characteristics provided by the damper windings.

In academic or practical texts, you might find generalized equations for parts of an electrical machine’s design, but they would typically be followed by detailed simulations for validation and adjustment according