A method of attaching a connector to an electrical cable having a core surrounded by conductor strands; the connector comprising: a connector insert (30, 300, 310, 320, 330) having an axial bore (312, 322, 332) dimensioned to receive the core of the cable; a connector body having an opening at a proximal end thereof and a substantially cylindrical outer surface, the opening communicating with a cavity having a distal portion dimensioned to receive the connector insert, said distal portion having a first inner surface with a first inside diameter (d 1), said cavity further having a second portion proximally displaced from the distal portion having a second inner surface with a second inside diameter (d 2) dimensioned to receive the conductor strands, wherein the second inside diameter (d 2) is equal to or greater than the first inside diameter (d 1), said cavity further having a third portion proximally adjacent to the second portion having a third inner surface with a third inside diameter (d 3) dimensioned to receive the conductor strands, wherein the third inside diameter (d 3) is greater than the second inside diameter (d 2), wherein said second and third portions are configured to be swaged onto the conductor strands with compression ratios that increase from portion to portion as the inside diameter decreases from the third inside diameter (d 3) to the second inside diameter (d 2), wherein the method comprises: removing a portion of the conductor strands proximate to an end of the cable to expose a corresponding portion of the cable core; inserting the exposed portion of the cable core into the bore in the connector insert (30, 300, 310, 320, 330); inserting the end of the cable into the cavity of the connector body such that the connector insert (30, 300, 310, 320, 330) is inserted into the distal portion of the cavity in the connector body and the conductor strands are inserted into the second and third portions of the cavity; compressing the outer surface of the connector body surrounding the distal portion of the cavity with at least a first compression ratio; compressing the outer surface of the connector body surrounding the second portion of the cavity with a second compression ratio; compressing the outer surface of the connector body surrounding the third portion of the cavity with a third compression ratio. a connector insert (30, 300, 310, 320, 330) having an axial bore (312, 322, 332) dimensioned to receive the core of the cable; a connector body having an opening at a proximal end thereof and a substantially cylindrical outer surface, the opening communicating with a cavity having a distal portion dimensioned to receive the connector insert, said distal portion having a first inner surface with a first inside diameter (d 1), said cavity further having a second portion proximally displaced from the distal portion having a second inner surface with a second inside diameter (d 2) dimensioned to receive the conductor strands, wherein the second inside diameter (d 2) is equal to or greater than the first inside diameter (d 1), said cavity further having a third portion proximally adjacent to the second portion having a third inner surface with a third inside diameter (d 3) dimensioned to receive the conductor strands, wherein the third inside diameter (d 3) is greater than the second inside diameter (d 2), wherein said second and third portions are configured to be swaged onto the conductor strands with compression ratios that increase from portion to portion as the inside diameter decreases from the third inside diameter (d 3) to the second inside diameter (d 2), wherein the method comprises: removing a portion of the conductor strands proximate to an end of the cable to expose a corresponding portion of the cable core; inserting the exposed portion of the cable core into the bore in the connector insert (30, 300, 310, 320, 330); inserting the end of the cable into the cavity of the connector body such that the connector insert (30, 300, 310, 320, 330) is inserted into the distal portion of the cavity in the connector body and the conductor strands are inserted into the second and third portions of the cavity; compressing the outer surface of the connector body surrounding the distal portion of the cavity with at least a first compression ratio; compressing the outer surface of the connector body surrounding the second portion of the cavity with a second compression ratio; compressing the outer surface of the connector body surrounding the third portion of the cavity with a third compression ratio. removing a portion of the conductor strands proximate to an end of the cable to expose a corresponding portion of the cable core; inserting the exposed portion of the cable core into the bore in the connector insert (30, 300, 310, 320, 330); inserting the end of the cable into the cavity of the connector body such that the connector insert (30, 300, 310, 320, 330) is inserted into the distal portion of the cavity in the connector body and the conductor strands are inserted into the second and third portions of the cavity; compressing the outer surface of the connector body surrounding the distal portion of the cavity with at least a first compression ratio; compressing the outer surface of the connector body surrounding the second portion of the cavity with a second compression ratio; compressing the outer surface of the connector body surrounding the third portion of the cavity with a third compression ratio.