Analytical Model of Eccentric Induction Machines Using the Conformal Winding Tensor Approach

Area of Science:

• Electrical Engineering
• Mechanical Engineering
• Industrial Maintenance

Background:

• Induction machines (IMs) are vital in industrial processes, but failures cause significant economic losses.
• Condition-based maintenance (CBM) systems mitigate risks by monitoring IM health, requiring accurate models of faulty machines.
• Modeling eccentric IMs is challenging due to complex air gap variations and inductance matrix calculations.

Purpose of the Study:

• To develop a novel analytical model for accurately representing eccentric induction machines.
• To simplify the calculation of inductance matrices for faulty IMs, particularly those with mixed eccentricity.
• To improve the development and reliability of condition-based maintenance systems for IMs.

Main Methods:

• Utilized the winding tensor approach for clear fault separation.
• Introduced a conformal transformation to simplify inductance calculations.
• Developed a novel conformal winding tensor approach (CWFA).

Main Results:

• The CWFA allows the use of simplified inductance expressions, similar to those for healthy IMs.
• The model effectively handles the non-uniform air gap caused by mixed eccentricity faults.
• Theoretical explanation and validation were provided using two commercial IMs.

Conclusions:

• The proposed CWFA offers a more straightforward method for modeling eccentric IMs.
• This approach facilitates the development of more efficient and reliable CBM systems.
• The validated model can aid in the early detection and diagnosis of mixed eccentricity faults in IMs.