Abstract

This article presents a fast numerical calculation method of realistic power losses for high-frequency litz wires. Explicitly, the imperfect structure of litz wires is considered when calculating losses due to an excitation current (skin losses) and external magnetic fields (proximity losses). Calculations of litz wires with more than 1000 strands were performed on a personal computer and have been validated by measurements up to 10 MHz. In the calculation, the impact of the bundle structure on skin and proximity losses is examined. The method allows to select a suitable litz wire for a specific application or to design a litz wire considering realistic twisting structures.

Highlights

  • T HE shortening of time to market is a permanent demand for product development

  • We introduce a fast numerical power loss calculation for high-frequency litz wires, in analogy to the partial element equivalent circuit (PEEC) method

  • The SEEC method presented in this article allows the investigation of losses for litz wires with a complex twisting structure

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Summary

INTRODUCTION

T HE shortening of time to market is a permanent demand for product development. Thereby, engineers face increasing requirements for system efficiency and the resource-saving use of materials due to environmental and climate protection. Numerical methods provide a solution to this problem and with the partial element equivalent circuit (PEEC) method probably the most promising one It has its origins at IBM [15], [16] and was further developed at the Massachusetts Institute of Technology for the calculation of losses in high-frequency litz wires [17]. Based on the magnetic field and the specified litz wire currents, the losses are calculated either analytically [7], [13] or numerically, for example, using the PEEC method [18] ( known as SlicerPro). Combining the numerical calculation method of strand currents and the analytical formulas presented, realistic power losses of litz wires with more than 1000 strands are calculated on a personal computer. External fields in the winding window and near air gaps are computed with FEM as shown in [18]

THEORY OF THE FAST NUMERICAL CALCULATION METHOD
Magnetic Vector Potential of a Strand Element
Numerical Stranding of Litz Wires
Calculation of Strand Currents
Loss Calculation in Litz Wires
Summary of the Method
MODELING AND VALIDATION OF SKIN EFFECT
MODELING AND VALIDATION OF PROXIMITY EFFECT
Findings
CONCLUSION
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