## 1 Introduction
One among the voltage control strategies is the V/F (voltage/frequency) control that is utilized for operation in the islanded mode. The drawback with V/F control is that it is not equipped for the parallel operation of various voltage forming converter units [3]. Therefore, there need to be new control strategies in the WGs that can create the reference voltage and work in parallel operation. Such control strategies are an emerging area of research and studies are being performed in this regard. Few among the new control strategies are mentioned as follows:  
* Virtual Synchronous Machines (VSM): The PE converter control is modelled with the characteristics of a synchronous machine in terms of inertia and voltage support by correspondingly deriving the equivalent equations [4; 5; 6]. * Modified Droop Control: This strategy is common for standalone grids, where the parallel operation of voltage forming units is developed recently using the f/P (frequency/active power) and V/Q (voltage/reactive power) droop controls similar to the control in synchronous generators [7]. Few authors have named these droop control concepts as Virtual Synchronous Machines Without Inertia (VSCM0H) [8]. * Direct Voltage Control (DVC): DVC is a representation of the conventional current control approach towards a voltage control. DVC allows for the direct control of the AC converter voltage which in turn varies the current injected by the converter [9; 10]. This approach provides continuous voltage control both in steady-state and dynamic scenarios. * Extended Current Control: The control is similar to the conventional current control with an additional inertia control in the outer control loop by using a synthetic inertia controller that gives a behaviour similar to that of a synchronous machine [11; 12]. The major issue with conventional control is the wind up of the integrator that causes the voltage to rise. This happens because the reference value of current remains non-zero and the measured current following islanding nearly falls to zero. In the DirectVoltage Control (DVC) implemented in Reference [9], the integrator term is avoided, and the proportional term is moved to the output end. This mitigates the above mentioned challenges related to voltage and frequency control by providing continuous voltage support without a dead band, and by providing dynamic frequency control during steady state and dynamic conditions of the network. Studies performed by [PERSON] et al. and [PERSON] et al. in References [9,10] show appealing results of the implemented DVC for highly PE dominated systems. The simulations are tested for different grids based on real-world data and provide promising outcomes with effective voltage and frequency control. Hence, with such proven results and available models, the DVC strategy was chosen to be incorporated for this work. Traditionally, the transmission of power from Offshore Wind Farm (OWF) to the offshore converter station uses a combination of 33 kV and 145 kV High Voltage Alternating Current (HVAC) cables. The OWFs are connected to an Alternating Current (AC) offshore platform using 33 kV HVAC cables. The platform holds a power transformer that is used to step-up voltage from 33 kV to 145 kV, and power is transferred from the AC platform to the offshore converter station using 145 kV HVAC cables [13]. However, the upcoming projects are expected to have a higher voltage level of 66 kV for transmission to allow twice the amount of power transferred compared to 33 kV. Therefore, this would only require 66 kV HVAC cables to directly connect OWFs to offshore converter station, avoiding the use of an AC collector platform [14]. This paper implements the DVC from Reference [9] in a digital twin representation of a 66 kV HVAC OWF network in RSCAD, and the performance of DVC is tested for highly severe dynamic conditions in the network. Such a model is unique and goes beyond the previous works performed in this direction [15].