Interconnecting offshore wind power plants with oil and gas installations (O&G) can create a positive symbiosis for both installations. An O&G installation may reduce the emissions generated by gas turbines installed on platforms and the wind farm may reduce the investment costs by removing expensive transmission links to the shore. The power demand of an O&G-installation lies in the same range as a small to medium sized wind power plant. This paper analyzes methods of maintaining secure operation of such offshore interconnected power systems. The combination of high reliability requirements and low system inertia is challenging. Hence, an adequate overall control strategy is of major importance. As such interconnected systems are not yet implemented, this paper is based on a system with typical ratings. The first and main part demonstrates how wind turbines can contribute to an improved robustness and stability of the system. This is realized through a control concept called inertia emulation. The second part of the paper quantifies the impact on O&G operations in terms of fuel saving and wind variability issues.