**Journal Papers**

- M. Johnson,
**M. C. Gardner**, and H. A. Toliyat, “A Parameterized Linear 3D Magnetic Equivalent Circuit for Analysis and Design of Radial Flux Magnetic Gears–Part I: Implementation,”*IEEE. Trans. Energy Convers*., early access on IEEE Xplore. (pdf) (IEEE Xplore) - M. Johnson,
**M. C. Gardner**, and H. A. Toliyat, “A Parameterized Linear 3D Magnetic Equivalent Circuit for Analysis and Design of Radial Flux Magnetic Gears–Part II: Evaluation,”*IEEE. Trans. Energy Convers*., early access on IEEE Xplore. (pdf) (IEEE Xplore) **M. C. Gardner**, B. Praslicka, M. Johnson, and H. A. Toliyat, “Optimization of Coaxial Magnetic Gear Design and Magnet Material Grade at Different Temperatures and Gear Ratios,”*IEEE. Trans. Energy Convers*., vol. 36, no. 3, pp. 2493-2501, Sep. 2021. (pdf) (IEEE Xplore)- B. Praslicka,
**M. C. Gardner**, M. Johnson, and H. A. Toliyat, “Review and Analysis of Coaxial Magnetic Gear Pole Pair Count Selection Effects,”*IEEE Trans. Emerg. Sel. Topics Power Electron.*, early access on IEEE Xplore. (pdf) (IEEE Xplore) **M. C. Gardner**, M. Johnson, and H. A. Toliyat, “Analysis of High Gear Ratio Capabilities for Single-Stage, Series Multistage, and Compound Differential Coaxial Magnetic Gears,”*IEEE. Trans. Energy Convers*., vol. 34, no. 2, pp. 665-672, Jun. 2019. (pdf) (IEEE Xplore)- A. K. Morya,
**M. C. Gardner**, B. Anvari, L. Liu, A. G. Yepes, J. Doval-Gandoy, and H. A. Toliyat, “Wide Bandgap Devices in AC Electric Drives: Opportunities and Challenges,”*IEEE Trans. Transport. Electrific.*, vol. 5, no. 1, pp. 3-20, Mar. 2019. (pdf) (IEEE Xplore) **M. C. Gardner**, M. Johnson, and H. A. Toliyat, “Comparison of Surface Permanent Magnet Axial and Radial Flux Coaxial Magnetic Gears,”*IEEE. Trans. Energy Convers*., vol. 34, no. 4, pp. 2250-2259, Dec. 2018. (pdf) (IEEE Xplore)- M. Johnson,
**M. C. Gardner**, H. A. Toliyat, S. Englebretson, W. Ouyang, and C. Tschida, “Design, Construction, and Analysis of a Large Scale Inner Stator Radial Flux Magnetically Geared Generator for Wave Energy Conversion,”*IEEE. Trans. Ind. Appl.*, vol. 54, no. 4, pp. 3304 – 3314, Jul.-Aug. 2018. (pdf) (IEEE Xplore) **M. C. Gardner**, B. E. Jack, M. Johnson, and H. A. Toliyat, “Comparison of Surface Mounted Permanent Magnet Coaxial Radial Flux Magnetic Gears Independently Optimized for Volume, Cost, and Mass,”*IEEE. Trans. Ind. Appl.*, vol. 54, no. 3, pp. 2237-2245, May-Jun. 2018. (pdf) (IEEE Xplore)- M. Johnson,
**M. C. Gardner**, and H. A. Toliyat, “A Parameterized Linear Magnetic Equivalent Circuit for Analysis and Design of Radial Flux Magnetic Gears – Part I: Implementation,”*IEEE Trans. Energy Convers.*, vol. 33, no. 2, pp. 784-791, Jun. 2018. (pdf) (IEEE Xplore) - M. Johnson,
**M. C. Gardner**, and H. A. Toliyat, “A Parameterized Linear Magnetic Equivalent Circuit for Analysis and Design of Radial Flux Magnetic Gears – Part II: Evaluation,”*IEEE Trans. Energy Convers.*, vol. 33, no. 2, pp. 792-800, Jun. 2018. (pdf) (IEEE Xplore) - M. Johnson,
**M. C. Gardner**, and H. A. Toliyat, “Design Comparison of NdFeB and Ferrite Radial Flux Surface Permanent Magnet Coaxial Magnetic Gears,”*IEEE Trans. Ind. Appl.*, vol. 54, no. 2, pp. 1254-1263, Mar.-Apr. 2018. (pdf) (IEEE Xplore) - M. Johnson,
**M. C. Gardner**, and H. A. Toliyat, “Design and Analysis of an Axial Flux Magnetically Geared Generator,”*IEEE Trans. Ind. Appl.*, vol. 53, no. 1, pp 97-105, Jan.-Feb. 2017. (pdf) (IEEE Xplore)

**Conference Papers**

- A. Daniar and
**M. C. Gardner**, “Investigation of a Multiphase Winding Arrangement for Mitigating Short-Circuit Fault Currents”, in*Proc*.*IEEE Int. Symp. Diagnostics for Elec. Mach. Power Electronics and Drives*, 2021, pp. 1-6. (pdf)***Prize Paper Award** - S. Hasanpour, S. Sheshaprasad,
**M. C. Gardner**, M. Johnson, B. Praslicka, and H. A. Toliyat, “Design and Control of a Fault Tolerant Permanent Magnet Motor with Independently Optimized Phase and Pole Counts”, in*Proc*.*IEEE Int. Symp. Diagnostics for Elec. Mach. Power Electronics and Drives*, 2021, pp. 1-7. (pdf) - B. Praslicka, M. Johnson, D. Zamarron, A. Marshall, S. Hasanpour,
**M. C. Gardner**, A. Nguyen, A. Goodarzi, E. Bauk, and H. A. Toliyat, “Practical Analysis and Design of a 50:1 Cycloidal Magnetic Gear with Balanced Off-Axis Moments and a High Specific Torque for Lunar Robots” in*Proc. IEEE Int. Elect. Mach. and Drives Conf.*, 2021, pp. 1-8. (pdf) (IEEE Xplore) - D. Talebi,
**M. C. Gardner**, S. V. Sankarraman, A. Daniar, and H. A. Toliyat, “Electromagnetic Design Characterization of a Dual Rotor Axial Flux Motor for Electric Aircraft,” in*Proc. IEEE Int. Elect. Mach. and Drives Conf.*, 2021, pp. 1-8. (pdf) (IEEE Xplore) - S. Hasanpour,
**M. C. Gardner**, M. Johnson, and H. A. Toliyat, “Comparison of Reluctance and Surface Permanent Magnet Coaxial Magnetic Gears,” in*Proc.**IEEE Energy Convers. Congr. and Expo*, 2020, pp. 307-314*.*(pdf) (IEEE Xplore) - B. Praslicka, M. Johnson,
**M. C. Gardner**, E. Dangtran and H. A. Toliyat, “Effects of Axial Flux Magnetic Gear Misalignment,” in*Proc.*, 2020, pp 293-300. (pdf) (IEEE Xplore)*IEEE Energy Convers. Congr. and Expo* **M. C. Gardner**, M. Johnson, and H. A. Toliyat, “Performance Impacts of Practical Fabrication Tradeoffs for a Radial Flux Coaxial Magnetic Gear with Halbach Arrays and Air Cores,” in*Proc.**IEEE Energy Convers. Congr. and Expo*, 2019, pp. 3129-3136*.*(pdf) (IEEE Xplore)**M. C. Gardner**, Y. Zhang, D. Talebi, H. A. Toliyat, A. Crapo, P. Knauer, and H. Willis, “Loss Breakdown of a Dual Conical Rotor Permanent Magnet Motor using Grain Oriented Electrical Steel and Soft Magnetic Composites,” in*Proc.**IEEE Int. Elect. Mach. and Drives Conf.*, 2019, pp 1067-1074. (pdf) (IEEE Xplore)**M. C. Gardner**and H. A. Toliyat, “Nonlinear Analysis of Magnetic Gear Dynamics Using Superposition and Conservation of Energy,” in*Proc.**IEEE Int. Elect. Mach. and Drives Conf.*, 2019, pp 210-217. (pdf) (IEEE Xplore)**M. C. Gardner**, M. Johnson, and H. A. Toliyat, “Comparison of Surface Permanent Magnet Coaxial and Cycloidal Radial Flux Magnetic Gears,” in*Proc.**IEEE Energy Convers. Congr. and Expo*, 2018, pp. 5005-5012*.*(pdf) (IEEE Xplore)**M. C. Gardner**, D. A. Janak, and H. A. Toliyat, “A Parameterized Linear Magnetic Equivalent Circuit for Air Core Radial Flux Coaxial Magnetic Gears with Halbach Arrays,” in*Proc.**IEEE Energy Convers. Congr. and Expo*, 2018, pp. 2351-2358*.*(pdf) (IEEE Xplore)- M. Johnson,
**M. C. Gardner**, H. A. Toliyat, S. Englebretson, W. Ouyang, and C. Tschida, “Design, Construction, and Analysis of a Large Scale Inner Stator Radial Flux Magnetically Geared Generator for Wave Energy Conversion,” in*Proc.**IEEE Energy Convers. Congr. and Expo*, 2017, pp. 5017-5024*.*(pdf) (IEEE Xplore) **M. C. Gardner**, B. E. Jack, M. Johnson, and H. A. Toliyat, “Comparison of Coaxial Radial Flux Magnetic Gears Independently Optimized for Volume, Cost, and Mass,” in*Proc.**IEEE Int. Elect. Mach. and Drives Conf.*, 2017, pp. 1-8. (pdf) (IEEE Xplore)- A. Morya, M. Moosavi,
**M. C. Gardner**, and H. A. Toliyat, “Applications of Wide Bandgap (WBG) Devices in AC Electric Drives: A Technology Status Review,” in*Proc.**IEEE Int. Elect. Mach. and Drives Conf.*, 2017, pp. 1-8. (pdf) (IEEE Xplore) - M. Johnson,
**M. C. Gardner**, and H. A. Toliyat, “Design Comparison of NdFeB and Ferrite Radial Flux Magnetic Gears,” in*Proc. IEEE Energy Convers. Congr. and Expo.*, 2016, pp. 1-8. (pdf) (IEEE Xplore) - M. Johnson,
**M. C. Gardner**, and H. A. Toliyat, “Design and Analysis of an Axial Flux Magnetically Geared Generator,” in*Proc. IEEE Energy Convers. Congr. and Expo.*, 2015, pp. 6511-6518. (pdf) (IEEE Xplore)***Prize Paper Award** - M. Johnson,
**M. C. Gardner**, and H. A. Toliyat, “Analysis of Axial Field Magnetic Gears with Halbach Arrays,” in*Proc. IEEE Int. Elect. Mach. and Drives Conf.*, 2015, pp 108-114. (pdf) (IEEE Xplore)

**Patents**

- US Patent: Method and apparatus for compact axial flux magnetically geared machines, H. A. Toliyat, M. Johnson,
**M. C. Gardner**, US20170104388, Apr. 13, 2017.

**Books and Chapters**

- Chapter: H. A. Toliyat, M. Johnson,
**M. C. Gardner**, “Magnetic Gears and Magnetically Geared Machines: An Alternative Compact and Reliable Solution for High-Torque, Low-Speed Systems”, in*Compendium on Electromagnetic Analysis,*vol. 2: World Scientific, 2020.

**Webinar**

- H. A. Toliyat,
**M. C. Gardner**, and M. Johnson, “Motivation for magnetic gears and magnetically geared machines,” Nov. 1, 2017.

**Tutorial**

- H. A. Toliyat, M. Johnson, and
**M. C. Gardner**, “Non-Contact Magnetic Gears and Magnetically Geared Machines: Operating Principles, Design Considerations, and Applications”, IEMDC 2021.