A system for deploying a power cable within a coiled tubing includes a power cable operable to power an electrical submersible pump, the power cable extendable through a coiled tubing. A plurality of anchor assemblies are spaced along a length of the power cable, each of the anchor assemblies secured to the power cable and having a gripping element. The gripping element is moveable between a retracted position and an extended position in response to an applied stimuli, wherein the gripping element is sized to engage an inner diameter surface of the coiled tubing when the gripping element is in the extended position.