The integration of Offshore Wind Power Plants (OWPPs) to power networks is considered as a major step towards the decarbonization of energy production. These power plants are often connected to the onshore network via High-Voltage-Alternating-Current (HVAC) interconnections and are comprised of numerous devices, such as power converters, reactive power compensators and transmission lines. Each of these devices may introduce detrimental resonances and dynamic interactions between each other and with the onshore network, thus endangering its safe operation. To avoid these interactions and guarantee stability, detailed studies are necessary, with eigenvalue-based, small-signal stability analysis being the prominent method for small disturbances. However, in order to apply this method, a detailed system model is required, whose development is non-trivial for large systems like OWPPs. Additional practical challenges such as the system linearization and the linear model validation also hinder the application of the method for the stability assessment of OWPPs. In this paper, a comprehensive stability analysis of a representative, HVAC-interconnected, OWPP is presented based on a small- signal approach. The dynamic models of all participating devices are presented and practical aspects of the analysis, such as system equilibrium point calculation, linearization and sub-module interconnection are explained. After the linear model of the complete OWPP is derived, its validation against a detailed nonlinear model is performed. Then, the impact of several system parameters on the OWPP stability is evaluated by means of eigenvalue sensitivity analysis, identifying the safe operating regions of the system