## Inductive Coupled Transfer Functions for Four Major Topologies, and their Relevant Design Equations

 dc.contributor.author Mouton, Hendrik D dc.date.accessioned 2021-04-21T08:47:04Z dc.date.available 2021-04-21T08:47:04Z dc.date.issued 2021 dc.description.abstract The four major topologies for inductive couplers (such as transformers with air gaps used for wireless power transfer), are discussed in many articles widely available. In this article all the relevant transfer functions and design equations for all four topologies are given and derived. It contains Bode plots showing gain and phase characteristics against frequency with different load resistances, demonstrating clearly that each topology has its own specific characteristics so that the best one for a particular application can be selected. The author used the Laplace s-parameter in all derivations, and only convert later to the frequency domain when required. The concept of reflected impedances due to the transformer in all the designs is used, because it simplifies the derivations significantly, though care must be taken to apply it correctly. Therefore, the basic der-ivation of reflected impedances is also given. A novel set of formulas is derived for calculating the capacitance of the capacitor on the secondary side of the transformer. It is demonstrated to give satisfactory results even though the resultant formulas are relatively simple. en_US dc.identifier.apacitation Mouton, H. D. (2021). Inductive Coupled Transfer Functions for Four Major Topologies, and their Relevant Design Equations ,Faculty of Engineering and the Built Environment. Retrieved from http://hdl.handle.net/11427/33221 en_ZA dc.identifier.chicagocitation Mouton, Hendrik D Inductive Coupled Transfer Functions for Four Major Topologies, and their Relevant Design Equations. ,Faculty of Engineering and the Built Environment, 2021. http://hdl.handle.net/11427/33221 en_ZA dc.identifier.citation Mouton, H.D. 2021. Inductive Coupled Transfer Functions for Four Major Topologies, and their Relevant Design Equations. ,Faculty of Engineering and the Built Environment. http://hdl.handle.net/11427/33221 . en_ZA dc.identifier.ris TY - Report AU - Mouton, Hendrik D AB - The four major topologies for inductive couplers (such as transformers with air gaps used for wireless power transfer), are discussed in many articles widely available. In this article all the relevant transfer functions and design equations for all four topologies are given and derived. It contains Bode plots showing gain and phase characteristics against frequency with different load resistances, demonstrating clearly that each topology has its own specific characteristics so that the best one for a particular application can be selected. The author used the Laplace s-parameter in all derivations, and only convert later to the frequency domain when required. The concept of reflected impedances due to the transformer in all the designs is used, because it simplifies the derivations significantly, though care must be taken to apply it correctly. Therefore, the basic der-ivation of reflected impedances is also given. A novel set of formulas is derived for calculating the capacitance of the capacitor on the secondary side of the transformer. It is demonstrated to give satisfactory results even though the resultant formulas are relatively simple. DA - 2021 DB - OpenUCT DP - University of Cape Town KW - Wireless power transfer KW - Transformer KW - Circuit topology KW - Voltage control KW - Current con-trol KW - Frequency response KW - Simulation LK - https://open.uct.ac.za PY - 2021 T1 - Inductive Coupled Transfer Functions for Four Major Topologies, and their Relevant Design Equations TI - Inductive Coupled Transfer Functions for Four Major Topologies, and their Relevant Design Equations UR - http://hdl.handle.net/11427/33221 ER - en_ZA dc.identifier.uri http://hdl.handle.net/11427/33221 dc.identifier.vancouvercitation Mouton HD. Inductive Coupled Transfer Functions for Four Major Topologies, and their Relevant Design Equations. 2021 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/33221 en_ZA dc.language.iso en en_US dc.publisher.faculty Faculty of Engineering and the Built Environment en_US dc.rights.uri http://creativecommons.org/licenses/by/4.0/ en_US dc.subject Wireless power transfer en_US dc.subject Transformer dc.subject Circuit topology dc.subject Voltage control dc.subject Current con-trol dc.subject Frequency response dc.subject Simulation dc.title Inductive Coupled Transfer Functions for Four Major Topologies, and their Relevant Design Equations en_US dc.type Report en_US
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