A rotor-stator structure for an electrodynamic machine, the rotor-stator structure comprising: a stator assembly (140, 2610), wherein the stator assembly comprises: field pole members(110, 2622) arranged about an axis of rotation and including pole faces (114, 2614) at the ends of the field pole members (110, 2622), a subset of the pole faces (114, 2614) including pole face portions coextensive with a boundary of a conically-shaped space; and one or more rotor assemblies (2300, 2400) arranged on the axis of rotation, each of the one or more rotor assemblies (2300, 2400) comprising: magnetically permeable structures (1984, 2284) positioned radially about the axis of rotation, the magnetically permeable structures comprising: confronting surfaces (1985, 2485) oriented at an angle to the axis of rotation to form air gaps with at least the pole face portions, and non-confronting surfaces (2104, 2490) configured to confront structures other than the pole faces (114, 2614); characterized in that each of the one or more rotor assemblies (2300, 2400) further comprises: groups of magnetic structures including magnetic material (2282a, 2282b), the groups of the magnetic structures comprising: a first group of the magnetic structures (1982a, 1982b) interleaved with the magnetically permeable structures (1984, 2284); and a second group of the magnetic structures (1822, 1833) disposed adjacent to the non-confronting surfaces (2104, 2490) wherein the second group of the magnetic structures (1822, 1833) are configured to provide additional flux to enhance flux passing through the confronting surfaces (1985, 2485); a flux conductor shield (2302, 2304, 2368, 2510, 2514) disposed adjacent to the second group of the magnetic structures, the flux conductor shield (2302, 2304, 2368) configured to provide return flux paths (2311, 2313) for the second group of the magnetic structures. a stator assembly (140, 2610), wherein the stator assembly comprises: field pole members(110, 2622) arranged about an axis of rotation and including pole faces (114, 2614) at the ends of the field pole members (110, 2622), a subset of the pole faces (114, 2614) including pole face portions coextensive with a boundary of a conically-shaped space; and one or more rotor assemblies (2300, 2400) arranged on the axis of rotation, each of the one or more rotor assemblies (2300, 2400) comprising: magnetically permeable structures (1984, 2284) positioned radially about the axis of rotation, the magnetically permeable structures comprising: confronting surfaces (1985, 2485) oriented at an angle to the axis of rotation to form air gaps with at least the pole face portions, and non-confronting surfaces (2104, 2490) configured to confront structures other than the pole faces (114, 2614); confronting surfaces (1985, 2485) oriented at an angle to the axis of rotation to form air gaps with at least the pole face portions, and non-confronting surfaces (2104, 2490) configured to confront structures other than the pole faces (114, 2614); characterized in that each of the one or more rotor assemblies (2300, 2400) further comprises: groups of magnetic structures including magnetic material (2282a, 2282b), the groups of the magnetic structures comprising: a first group of the magnetic structures (1982a, 1982b) interleaved with the magnetically permeable structures (1984, 2284); and a second group of the magnetic structures (1822, 1833) disposed adjacent to the non-confronting surfaces (2104, 2490) wherein the second group of the magnetic structures (1822, 1833) are configured to provide additional flux to enhance flux passing through the confronting surfaces (1985, 2485); a flux conductor shield (2302, 2304, 2368, 2510, 2514) disposed adjacent to the second group of the magnetic structures, the flux conductor shield (2302, 2304, 2368) configured to provide return flux paths (2311, 2313) for the second group of the magnetic structures. groups of magnetic structures including magnetic material (2282a, 2282b), the groups of the magnetic structures comprising: a first group of the magnetic structures (1982a, 1982b) interleaved with the magnetically permeable structures (1984, 2284); and a second group of the magnetic structures (1822, 1833) disposed adjacent to the non-confronting surfaces (2104, 2490) wherein the second group of the magnetic structures (1822, 1833) are configured to provide additional flux to enhance flux passing through the confronting surfaces (1985, 2485); a first group of the magnetic structures (1982a, 1982b) interleaved with the magnetically permeable structures (1984, 2284); and a second group of the magnetic structures (1822, 1833) disposed adjacent to the non-confronting surfaces (2104, 2490) wherein the second group of the magnetic structures (1822, 1833) are configured to provide additional flux to enhance flux passing through the confronting surfaces (1985, 2485); a flux conductor shield (2302, 2304, 2368, 2510, 2514) disposed adjacent to the second group of the magnetic structures, the flux conductor shield (2302, 2304, 2368) configured to provide return flux paths (2311, 2313) for the second group of the magnetic structures.