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Review of HVDC technologies for weak grid interconnectors

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  • 07-10-2024
  • Original Paper
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Abstract

The article reviews the growing importance and application of HVDC technologies for weak grid interconnections, highlighting the challenges and solutions for stable power transmission. It discusses various HVDC converters, cables, and circuit breakers, emphasizing the superiority of VSC-HVDC for weak grid scenarios. The article also explores control strategies and AC-side network reinforcement methods to mitigate the adverse effects of weak grid interconnections. Additionally, it provides a practical perspective by applying these technologies to the Indonesian grid, demonstrating the potential for HVDC in connecting weak grids and facilitating renewable energy integration.
Rian Fatah Mochamad, Filipe Faria da Silva, Qi Zhang, Sarjiya, Claus Leth Bak and Evy Haryadi have contributed equally to this work.

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1 Introduction

HVDC has seen significant growth in utilization worldwide over the years. The cumulative capacity of VSC-HVDC, a type of HVDC converter, has risen from around 2 GW in 2010 to around 30 GW in 2020, and it is expected to have an additional 35 GW or more between 2020 and 2028 [1]. HVDC is better than HVAC for transferring bulk offshore power [2] and is the only feasible option for connecting asynchronous grids [3]. As a result, a substantial amount of research is dedicated to different HVDC technologies and associated apparatuses such as converters, cables, and circuit breakers. The techno-economic aspect of HVDC is a well-investigated area, and research on various control strategies for HVDC connections is also quite relevant and frequent in the literature.
Unfortunately, the existing literature is limited to HVDC connections between strong AC grids or from strong to weak/islanded AC grids. Currently, an actual weak-to-weak connection is rare, with the closest examples being the Zhangbei MTDC, where one of the links is weak [4], and the Caprivi HVDC link [5]. However, weak-to-weak and weak-to-very weak connections are becoming increasingly prevalent in future power systems, especially with the emergence of energy islands [6], multiterminal DC (MTDC) systems with distant offshore locations [7], and island-to-island connections [8]. In terms of hardware readiness, several vendors are increasingly investing in weak grid interconnections, as shown in [4, 9, 10]. Furthermore, the idea of utilizing HVDCs as weak grid interconnectors revolves around ensuring access to sustainable energy and combating the impacts of climate change. In terms of the United Nations Sustainable Development Goals (SDGs), this contributes to SDGs 7 and 13 [11]. The interconnection of weak grids can result in undesirable phenomena such as voltage-frequency deviation, limiting converter ratings, and control and interconnection issues [12]. Despite its relevance and importance, a review paper discussing HDVS’s application, technologies, controls, and reinforcement as weak grid interconnectors is currently missing from the literature.
Based on the information mentioned earlier, this manuscript is written around the application, technologies, controls, and network reinforcement of HVAC grids for HVDC connections, from weak-to-weak and weak-to-very weak AC grids. The structure of this manuscript is provided as follows:
  • Section 2 provides reviews of different HVDC technologies, namely, converter, cable, and circuit breaker.
  • Section 3 provides the general concept, implication, and example of weak-to-weak and weak-to-very weak AC grid interconnection.
  • Section 4 discusses the available AC-side network reinforcement technology to improve HVDC performance.
  • Section 5 elaborates on control strategies suited for weak grid interconnection.
  • Section 6 assesses the techno-economical side of the HVDC application.
  • Section 7 presents the suitability of the previously outlined HVDC technologies applied in a system with a significant number of weak asynchronous grids due to their archipelagic nature and the development of an electrical infrastructure: the Indonesian grid.
While Sects. 2 to 6 aim to provide a literature review, Sect. 7 offers a practical perspective where the "fastest, cheapest, and most robust" HVDC solution might not be the "best" solution. Weak-to-weak and weak-to-very weak grid connections may require unique and tailor-made solutions. However, the discussions and findings from this manuscript are not exclusive to the Indonesian system. Still, they are applicable to other systems with weak AC grids, such as those in other archipelagos or future energy islands.

2 Development of HVDC converter, cable, and circuit breaker

This section details advancements in HVDC converters, cables, and circuit breakers, particularly concerning their application in weak grid connections.

2.1 Converters and connections

Two commercially available converter technologies are line-commutated current-sourced converter (LCC) and voltage source converter (VSC). Additionally, there is growing interest in connecting multiple nodes via converters to create multiterminal DC (MTDC) systems. This subsection outlines the development and suitability of LCC, VSC, and MTDC for weak-to-weak grid connections.

2.1.1 LCC-HVDC

LCC-HVDC is a mature technology with the highest voltage and rating offered at 12 GW per bipolar system at the 1100 kV level, with losses at 0.7% of the rated power in each converter [13]. For weak-to-weak grid connections, LCC-HVDC requires large footprints due to additional requirements for specific auxiliaries such as passive filters, switched capacitors, and reactors [14], as well as additional reactive power support like SVC and STATCOM [15, 16]. Therefore, LCC-HVDC is less suitable for weak-to-weak grid connections.

2.1.2 VSC-HVDC

Compared to LCC-HVDC, VSC-HVDC has higher losses and lower ratings, with the highest voltage and rating being the NordLink project (1400 MW and ± 525 kV). However, VSC-HVDC can independently control active and reactive power, enabling its use for weak grid connections [12]. VSC-HVDC can also provide black-start capability and grid-forming functions, making it the preferred HVDC converter for offshore connections and more suitable for weak-to-weak grid connections. Given its advantages, researchers and industry professionals have increasingly explored VSC technology to mitigate losses and enhance performance ratings. These efforts have led to the development of traditional two-level to various multilevel converters, both non-modular and modular [1719].

2.1.3 MTDC

There is also growing interest in connecting multiple HVDC converters (LCC and/or VSC) on the DC side to form a multiterminal HVDC (MTDC) configuration. MTDC is better suited for connecting and harvesting bulk capacities of onshore or offshore renewable sources at large distances than multiterminal AC. It also reduces the number of grid-side converters compared to point-to-point connections. The first MTDC, Sardinia-Corsica-Italy (SACOI), with an LCC-based converter, was completed in 1992. It has three terminals with 200, 50, and 200 MW ratings and a voltage rating of ± 200  kV. Other examples include Quebec-New England (commissioned in 1992) and North-East Agra (commissioned in 2017). Despite higher power ratings than VSC-MTDC, LCC-MTDC requires voltage polarity reversal to change power flow direction, which may not be feasible for certain cable technologies (discussed in the next section), making it less preferred [20]. The first VSC-MTDC project was Nan’ao, with a four-terminal MTDC of ± 160 kV, followed by Zhousan and Zhangbei.
As discussed in [21], a hybrid LCC and VSC-MTDC system is also viable. A hybrid three-terminal system has been simulated, utilizing LCC-HVDC for geothermal generation in Queensland and VSC-HVDC for importing and exporting power from South Australia [22]. Key technologies focusing on control, protection, and configuration to achieve a hybrid ultra-high voltage (UHV) ± 800 kV MTDC are discussed in [23]. A strategy for clearing DC faults in a hybrid LCC-VSC MTDC was proposed in [24]. In terms of research trends, interoperability and standardization of converters are expected to gain significant interest, as evidenced by the INTEROPERA [25] and PROMOTioN [26] projects.

2.2 Cable

As reported in [27], most HVDC subsea cables are currently installed in shallow waters, i.e., less than 500 m depth, with only three projects deeper than 1000 m: Italy-Greece interconnection (1000 m) [28], Cometa HVDC (1485 m) [29], and SAPEI (1650 m) [30]. Water depth is a crucial factor in cable selection, as the hydrostatic pressure exerted by water (approximately an increase of 1 atm for every 10 m depth increase) may deteriorate or even break the cable sheath. Three types of cables are currently used in HVDC applications: oil-filled, mass-impregnated, and extruded, each better suited for specific installations [31]. This subsection focuses on the development and ratings of these three cable types for land and subsea use.

2.2.1 Oil-filled

Oil-filled cables come in low-viscosity and high-viscosity, with Kraft paper used as insulation. Low-viscosity cables have a maximum practical length of 30–60 km to maintain sufficient oil flow. In contrast, high-viscosity cables theoretically have no length restriction and can be installed at depths up to 1000 m. It presents a challenge for specific locations, particularly in Indonesia, where the bathymetric map shows several areas deeper than 1000 m [32]. Due to the need for oil feed and the risk of oil leakage, oil-filled cables are being replaced by mass-impregnated and extruded cables. Oil-filled cables are capable of handling voltages up to 500 kV and power levels up to 2800 MW for submarine installation [3]. However, due to their limited practical length of 30–60 km, oil-filled cables are unsuitable for most current HVDC projects, such as those in Indonesia, where the distance between most islands exceeds 30–60 km.

2.2.2 Mass-impregnated cable

Mass-impregnated (MI) cables are similar to oil-filled cables in that they both utilize Kraft paper as insulation. However, MI cables do not have length limitations as they do not contain oil. Theoretically, the ratings of MI cable can be enhanced by applying laminated polymeric film and paper, which permits higher conductor temperatures. MI cables are available up to 525 kV, as demonstrated by their use in the NordLink project, which connects Germany and Norway over a distance of 580 km [33]. In terms of depth, the Tyrrhenian link, buried at 2000 m, is the deepest [34].

2.2.3 Extruded DC cable

Extruded cables utilize extruded polymeric material as their primary insulation, in contrast to the paper insulation used in MI and OF cables. The most common insulation material for extruded cables is cross-linked polyethylene (XLPE). The advantages of extruded cables include:
1.
Higher operational temperature (up to \(90\,^\circ \)C), enabling the transmission of higher currents
 
2.
Greater mechanical robustness and lighter weight
 
3.
Simpler and faster installation due to a more straightforward jointing process
 
4.
More recyclable and resistant to oil leakage
 
Regarding grid connections, cable performance is not affected by grid strength. However, extruded cables are susceptible to space charge phenomena, which can distort the electric field distribution, leading to accelerated aging and potential failure after polarity reversal, making them unsuitable for LCC-HVDC [35]. Extruded cables, however, are well suited for VSC-HVDC, as they allow reversal of power flow direction without changing the polarity of the DC voltage [36]. Currently, extruded DC cables are commercially available at 640 kV and capable of transmitting 3 GW of power [37]. An extruded cable’s highest installed voltage level is 525 kV, as utilized in the 2 GW SuedOstLink project. However, in regions such as Indonesia, with water depths exceeding 1000 m, mass-impregnated cables might be necessary. As reported in [38], current technology allows extruded cables to withstand depths up to 1000 m. The development of HVDC cables is advancing toward creating larger and longer cables, as demonstrated in [3941].

2.3 Circuit breaker (CB)

The AC circuit breaker (CB) operation varies depending on the grid strength and location. The transient response is more pronounced in weak AC grids, leading to longer oscillations due to lower damping. These extended oscillations affected fault detection in older relays. However, modern numerical relays can accurately measure the magnitudes of symmetrical components at the power frequency [42]. In contrast to AC faults, DC faults lack a zero-crossing point, necessitating that DC circuit breakers (DC CBs) create an artificial zero-crossing point, which requires significant energy dissipation [43]. In point-to-point HVDC connections, a DC CB is not needed, as the operator can disconnect the point of connection (POC) at both AC sides of the HVDC links in the event of a fault. This principle continues to be applied in current MTDC systems due to the limitations of DC CB, although these breakers are expected to become available on the market soon. As of now, three different DC CB topologies exist [44, 45]:
  • A configuration of AC CBs with a charged capacitor or resonance circuits connected in parallel. This setup can interrupt the DC fault current within 60 ms, with a required commutation time for contact separation of 20 ms. The maximum rated voltage of these DC CBs is 550 kV.
  • A solid-state CB comprises controllable devices, e.g., IGBT, IGCT, and GTO, with antiparallel diodes or bidirectional switches consisting of controllable devices and diodes. Solid-state CBs can interrupt DC fault current in 1–2 ms in total, with a commutation time of 0.1 ms. Prototype solid-state DC CBs have a maximum rated voltage of 800 kV and current breaking capabilities of 6–12 kA.
  • A hybrid DC circuit breaker: a solid-state breaker connected in parallel with a conventional AC circuit breaker. Hybrid DC CBs can interrupt DC fault current within 2 ms. The maximum rated voltage of this type is 320 kV, and the maximum current breaking capability is estimated between 9 and 20 kA.
Placing AC CBs on the AC side of the VSC is the most economical way to protect DC systems. However, AC CBs result in longer interruption times due to mechanical movement and arc extinguishing occurring at zero-crossing [46], requiring the disconnection of the entire MTDC grid. A comprehensive comparison of fault-clearing strategies for DC grids is provided in [47]. Research proposing systematic methods for HVDC circuit breaker sizing is presented in [48], while a review of DC CBs as HVDC component ratings is discussed in [49]. In terms of operation, DC CBs require faster switching times than AC CBs, especially in multiterminal topologies, due to the limited ability of VSC or half-bridge-based MMC converters to control DC fault current during a fault to avoid complete shutdown of the multiterminal DC grid [50]. One promising research area in DC protection is the development of fast fault detection systems and operation strategies.

3 General concept, source, and implication of weak-to-weak and weak-to-very weak grid connections

3.1 General concept of weak grid

Weak-to-weak and weak-to-very weak AC grids are characterized by low-to-very-low AC-side power levels relative to the DC power. The concept of a weak grid does not apply to HVDC grids. However, in the context of the HVAC grid, the concept of a weak grid is associated with low grid strength, typically due to high impedance or low inertia. This condition is more prevalent in a grid with low meshed and/or long radial connections coupled with low inertia from the synchronous generators. In terms of quantification of weak grid connections, short-circuit ratio (SCR) is often employed to measure the grid strength. The SCR is an index measuring the ratio of the short-circuit level at the grid side of the converter to the converter’s rating [51]. The formula to calculate SCR, based on [3, 52], is provided in Eq. (1), with the classification based on SCR for the LCC-HVDC provided in Table 1.
$$\begin{aligned} {\textrm{SCR}} = \frac{S}{P_{\textrm{DC}}} \end{aligned}$$
(1)
Where S represents the AC system’s three-phase symmetrical short-circuit level (MVA) at the converter terminal with a 1.0 p.u. AC terminal voltage and \(P_{\textrm{DC}}\) is the rated DC terminal power (MW). It is important to note that when assessing the impact of short-circuit currents on equipment, only the maximum value needs to be considered. Conversely, when evaluating limiting operating conditions, the minimum value of S at which the rated power \(P_{DC}\) can be transmitted must be used.
Table 1
Classification and implication of SCR [3, 52]
SCR
Classification
Operating fifficulties
SCR\(>3\)
Strong
No operating difficulties
\(2<\)SCR\(<3\)
Weak
Operating difficulties can be expected and might require special controls
SCR \(< 2\)
Very weak
Serious operating difficulties
To the best of the authors’ knowledge, there is no consensus on the classification of SCR for VSC-HVDC. While [53] suggests an SCR range between 1.3 and 1.6 as the borderline between weak and strong systems, a more recent study by [54] indicates that the borderline SCR varies according to converter rating and power transfer.
Various indices for grid strength classification exist, such as the effective short-circuit ratio (ESCR), which accounts for the impact of filters on the fundamental frequency [51], and the equivalent ESCR (EESCR), which considers the participation of the i-th converter [55]. There are also propositions of multi-infeed-based indices such as multi-infeed interactive short-circuit ratio (MISCR) [56] and multi-infeed short-circuit ratio (MSCR) [57]. Despite the variation, the core concept of these indices remains similar, focusing on classifying the strength of an AC system, with differences primarily in their suitability for specific topologies and/or conditions.

3.2 Weak grid implication for HVDC interconnection

The operating difficulties of the HVDC interconnector depend on the strength of the AC grid. In the event of strong-to-strong or weak-to-strong interconnection, no significant operating difficulties are reported. On the other hand, in the weak-to-weak and weak-to-very weak grid interconnection, various adverse phenomena are expected, such as oscillation, interference, voltage drop, harmonic distortion, and frequency deviation [3]. These are often attributed to:
1.
Interaction between HVDC controller and AC system [58]
 
2.
Synchronization failure between HVDC converter and AC system [52]
 
3.
Resonance between the DC-side capacitor and AC system components [59]
 
4.
Commutation failures (for LCC-HVDC converter) [60, 61]
 
It has been known that LCC-HVDC systems require a sufficiently strong AC network to commutate current from one valve to another during normal operation. In networks with low short-circuit capacity, the AC voltage may dip significantly during switching transients or disturbances, leading to commutation failures. This means the thyristors in the LCC cannot turn off as required, causing a disruption in the HVDC transmission [60, 61]. Furthermore, LCC-HVDC systems require reactive power support from the AC network. In strong networks, this is typically not a problem. However, in weak networks, the additional reactive power demand can lead to further voltage drops and exacerbate voltage instability [62]. Therefore, it is not common to use LCC-HVDC in a weak AC grid condition [6062].
There is no significant difference in terms of challenges faced by onshore or offshore grids. All issues shown above can still occur in either onshore or offshore grids. The difference between those is in terms of conductor selection (offshore cable, onshore overhead line) and, thus, its unique challenge underlying the conductor selection. In terms of actual HVDC as weak grid interconnection, the reported impact of weak grid parts in Zhangbei MTDC revolves around unstable grid connection, restriction on renewable generation, frequency fluctuation, and system disconnection [4]. Whereas in the Caprivi HVDC link, it is reported to encounter difficulties in complex control settings and instability issues [63]. It is important to note that although one project is offshore and the other is onshore, both face challenges primarily due to low grid strength.

4 HVAC reinforcement: making existing AC grid an HVDC-friendly grid

In order to provide satisfactory performance without any additional controls and/or supporting equipment, an HVDC connection requires a strong AC side. It is more challenging for an HVDC grid to perform satisfactorily when connected to a weak or very weak AC grid. Even in the context of a European grid, which is stronger than the Indonesian or archipelagic grids, reinforcement may be required to connect via HVDC. Several methods have been proposed and investigated to reinforce AC grids, and this section lists several currently in use or within the research stage for the existing AC grid, LCC-HVDC, and VSC-HVDC converter.

4.1 Reinforcement on existing AC grid

In terms of reinforcement to meet the minimum requirement for HVDC connection, several aspects can be considered. The AC side can be reinforced by increasing its voltage level, boosting its line rating (through a larger cross section), and/or installing new transmission lines. Existing AC lines can also be converted into DC lines, as it is extensively discussed in [64, 65]. These reinforcements not only aim to meet the minimum requirement for a reliable operation of the HVDC link but also to increase the short-circuit capacity of the system, which permits higher power transfer by the HVDC. It might also be necessary to reset the existing protection scheme to incorporate the HVDC link. A fast and reliable substation communication is also helpful when connecting to weak AC grids. PMUs can be used for better monitoring and control of HVDC systems, especially if such system requires timestamp [66], while fiber optics can be used for communication between substations. However, several methods have been developed to establish communication-free control for HVDC systems [6769].

4.2 Reinforcement on LCC-HVDC

In terms of converter technology, offshore LCC-HVDC requires additional commutation voltage support in the form of a synchronous condenser [70] or STATCOM [71]. A STATCOM typically has lower power losses but also a lower power rating than a synchronous condenser [16]. There are no practical synchronous condenser installations in an offshore LCC-HVDC platform. This could be attributed to the cost and the footprint requirement. However, from a research perspective, STATCOM and other FACTS technologies have been introduced to extend the operating range of LCC-HVDC connected to weak AC grids [7275]. LCC-HVDC is also prone to commutation failure if connected to a weak AC grid, a risk that can be reduced by using a synchronous condenser [76], STATCOM[77], or a controllable capacitor [78, 79]. Comparison between these methods is documented in [71, 80]. There are also several investigations on the feasibility of transforming a decommissioned power plant into a synchronous condenser to support a weak AC grid [8183].

4.3 Reinforcement on VSC-HVDC

On the other hand, VSC-HVDC, with its ability to independently control both active and reactive power, can eliminate the need for synchronous condenser and reactive power devices. Reference [70] concludes that a 2000–2500 MW VSC-HVDC link at the Bipole III of Manitoba Hydro could potentially eliminate the need for 1000 Mvar from new synchronous condensers. However, reactive power support devices can be integrated into the VSC-HVDC system if a connection to an SCR \(< 1\) is desired. In this context, VSC is preferable to LCC for weak grid connections, as AC-side reinforcement becomes either too complex or costly when the SCR is too low. Consequently, for an Archipelagic country like Indonesia or an energy island-type connection, VSC-HVDC is more suitable than LCC-HVDC.
An AC-side network reinforcement is limited to point-to-point HVDC grids, as mentioned in the early part of this section. The idea of adding the previously mentioned AC-side network reinforcement could be implemented to help increase the short-circuit capacity and regulate voltage or power fluctuation of the weak part of MTDC, as can be seen in Zhangbei MTDC. Zhangbei is the latest MTDC (commissioned in 2018), where two of its four terminals have low short-circuit capacities and high voltage fluctuations due to their location at the end of the Jibei power grid and significant renewable energy transfer [4]. A pumped storage facility has been built in Zhangbei to help reduce frequency fluctuation and improve the short-circuit capacity of the system.
In summary, while most of the proposed solutions in mitigating the adverse impact of weak grid interconnection found in the literature are in the form of advance control approaches (elaborated in the next chapter), there is another solution in the form of AC grid strength enhancement as mentioned in this section. Even though this enhancement may prove to be costly, it permits commercially available and industrially tested control approaches and electrical apparatus to be deployed with slight to no alterations. A combination of AC-side network reinforcement with the appropriate control could also be exercised to either widen transmission capacity or eliminate operating difficulties due to a weak network. This is a potential research topic, given the increasing prevalence of energy island-type networks, weak grid island interconnections, and planned MTDC grids.

5 VSC-HVDC control in weak AC grid connection

Various HVDC control schemes have been developed to facilitate connections to weak AC grids. This section discusses control methods specifically designed for VSC-HVDC systems. The HVDC control schemes for weak grid connections are classified based on CIGRE B4.57 [18], i.e.,

5.1 Station controls

Station controls represent the highest level in the HVDC control hierarchy, where the system operator or coordinator establishes the reference values for both upper and lower-level controls. This includes AC and DC voltage references (\(V_{\textrm{AC}\_\textrm{ref}}\) and \(V_{\textrm{DC}\_\textrm{ref}}\), respectively), as well as active and reactive power references (\(P_{\textrm{AC}\_\textrm{ref}}\) and \(Q_{\textrm{AC}\_\textrm{ref}}\), respectively), and AC frequency. The dispatch must be coordinated with the DC grid operator to avoid violating the set reference, which could lead to system instability. The station controls are commonly integrated into the energy management systems, and the time constant is usually minutes or hours. The strength of connected AC systems is considered when constructing the algebraic models and the related constraints. Therefore, the droop-related controls are still the main part, for example, voltage [84, 85] and active power [86] droop control strategies.

5.2 Upper-level controls: non-island

The upper-level control’s task is to transform the dispatch command into a voltage reference for IGBT in the lower-level control. The non-island control is used when the VSC-HVDC converter is connected to an AC system with active synchronous generation [18]. Vector control is the most common control strategy.

5.2.1 Vector control

Vector control uses the \(d-q\) axis decouple and has two levels: inner and outer loops. The outer loop control provides a reference of different power system variables, e.g., active/reactive power at PCC (one for each d and q axes) for the inner loop control. However, in terms of weak grid network application, the d and q parts are not necessarily decoupled where reactive power is able to affect active power and vice versa [87, 88].
For the weak or very weak AC grid, [89] reported that the voltage feedforward may reduce the stability margin and cause low-frequency oscillations. The issues are fully studied with the small-signal analysis method, and some improvements are proposed in [89, 90]. The performance of inverters connected to very weak systems was improved by introducing filters and dynamic compensation to the voltage feedforward path.

5.2.2 Improved vector control for weak system

According to [91], the outer loop of vector control utilizing classic PLL and connected to a weak AC grid is unstable during high power output. Lack of synchronization from VSC-HVDC connected to weak AC grid due to PLL is reported in [12]. Further studies on the relation of PLL to the grid strength and its implications are provided in [53, 92, 93]. Based on this condition, several modifications to vector control for weak AC grid connections are proposed [91].
1.
Parameter tuning and retuning. An approach to retune control parameters for vector control is investigated in [92]. The PLL is configured with a very low bandwidth, while the response of voltage regulation is set to be very fast, resulting in an interaction that no longer destabilizes the system. This method is restricted to only smaller ranges of parameters, and performance degradation occurs if the output of the PLL (whose response is set to be very slow) is required for another control function. Another application of parameter tuning is presented in [93], which involves a combination of \(H_\infty \) control and \(\mu \)-analysis to achieve robust vector control for the AC-bus voltage.
 
2.
Addition of decoupling gains. An addition of four decoupling gains to the outer loop of vector control for VSC-HVDC is proposed in [91]. These gains aim to limit the interaction between the two vector controls by correcting errors. Due to the multiple control parameters involved, H-infinity fixed-structure control tuning is also employed to minimize the interference, though it further increases the complexity of the control. The diagram of vector control with the added four decoupling gains is shown in Fig. 1, where \(i_d^*\) and \(i_q^*\) represent the reference values for d and q current resulting from the dispatch control of P and V. The \({PI}_p\) and \({PI}_u\) blocks represent the PI controllers for active power and voltage, respectively. It is important to note that the standard vector control does not have decoupling gains, where each of the d and q loops is independent. Similarly, [94] points out that traditional vector control in a weak AC system may result in coupling between P and Q. In such cases, an additional feedforward path can be added to decouple the power control loop. With the active and reactive power decoupled, the dynamic response and the stability of VSC are improved. The block diagram of the control method proposed by [94] is displayed in Fig. 2.
 
Fig. 1
The diagram of vector control with added four decoupling gains [91]
Full size image
Fig. 2
Improved feedforward power control strategy for VSC in a weak AC grid [94]
Full size image

5.2.3 Artificial PLL

The use of an artificial bus as the PCC is proposed by [92]. The artificial bus is selected in a grid location other than the actual PCC to create the impression of a strong grid (due to its lower impedance) as opposed to the actual weak AC grid at the PCC. This approach also assumes the impedance between the actual PCC and the artificial one is purely inductive; therefore, the active power injection and absorption are identical. The performance of this control has not yet been tested under disturbance and fault.

5.2.4 Frequency-based synchronization control (FSC)

The outer loop of the FSC shares the same structure as the vector current control loop and incorporates a PLL. However, its inner loop contains a frequency-based supplementary control mechanism to dampen the oscillations caused by the PLL [95]. The FSC is simulated at SCR=1, and it is able to provide a satisfactory response. However, applications on weak grid interconnections have not been tested, and an additional control loop might be required.

5.2.5 Feedforward and feedforward compensation

Feedforward control is categorized into an upper-level control in its outer loop. In general, feedforward provides a faster response, but it is quite easy to destabilize the system, especially under weak grid conditions [90]. Further assessment of the impact of the voltage feedforward and current decoupling on VSC control stability in weak grids reveals that the system is prone to instability if the SCR is low [96].
In order to enhance system stability when employing feedforward control, one approach involves utilizing current references directly from a feedforward branch or a look-up table containing steady-state currents, thereby facilitating a faster response and reducing dependence on the PLL [97]. Extraction of the grid voltage from the sensed PCC voltage and fed to the feedforward scheme is exercised in [90], where it is claimed to improve the adaptability of the grid-connected inverter to weak grid conditions. A modification over classical feedforward control in the form of adding a control box consisting of a feedforward filter, filter admittance, and PLL aimed to reduce the PLL perturbations is proposed by [98]. The control diagram of this method is shown in Fig. 3. In this figure, \(H_{\textrm{PLL}}^v\) describes the small-signal perturbation matrix that maps system voltage changes to controller voltage changes in the d-q coordinate frame. \(H_{\textrm{PLL}}^d\) represents the small-signal perturbation matrix that maps system voltage changes to duty ratio changes in the controller d-q frame. \(H_{\textrm{PLL}}^i\) corresponds to the small-signal perturbation matrix that maps system voltage changes to current changes in the controller d-q frame. \(H_{\textrm{del}}\) is a transfer matrix accounting for time delay, while \(H_{\textrm{dec}}\) represents the decoupling term, and \(H_{\textrm{ci}}\) is the current controller matrix. There are also the current loop, PLL, and filter, which collectively model the impedance characteristics of a three-phase grid-connected inverter in the block diagram.
Fig. 3
Feedforward control [98]
Full size image

5.2.6 Inertia mimicry

An emulation of the synchronous generation concept in terms of inertia mimicry control is studied by [99], which integrates the inertia mimicry into the voltage droop loop. The control is implemented in a B4-58 MTDC [100] scaled laboratory test grid. A variation of inertia mimicry, that extracts additional energy from DC capacitance by controlling the DC voltage, is proposed in [101] and shown in Fig. 4. The designed power loop controller (PLC) and virtual admittance correspond to the mechanical and electrical aspects of synchronous machines, respectively. The inertia emulation characteristics are defined through the design of the PLC, denoted as \(G_{\textrm{PLC}}(s)\).
Fig. 4
Inertia mimicry control [99]
Full size image

5.3 Upper-level controls: island

The upper-level island control can be defined as the scenario in which the VSC-HVDC converter is connected to either (1) an AC system with a disconnected load or asynchronous generation, or (2) a very weak AC system [18]. The difference between island and non-island upper-level control is the island control does not require PLL for reference angle but rather an independent oscillator that controls the frequency of the system.

5.3.1 Power synchronization control

Although VSC-HVDC is technically capable of overcoming weak grid connections, the cost is quite high, as it requires either upsizing or additional reactive power support [102]. The power synchronization control (PSC) addresses this issue by removing the PLL from the control loop and synchronizing the converter using a power loop, similar to the power-angle relationship in the synchronous machines [59, 103, 104]. PSC is reported in [59] to be able to connect two weak networks with satisfying results. The claim is further strengthened in a study carried out by [103], which investigates the island VSC-HVDC connection using PSC. The study demonstrates the system’s capability to manage various loading conditions and to satisfy fault ride-through capability. Moreover, a case study of offshore wind integration into weak AC systems using PSC and simulated in RTDS is reported in [105]. The main difference between PSC and vector control is the utilization of the internal synchronization mechanism of the synchronous machine instead of PLL.
The diagram of PSC is provided in Fig. 5, where it has the following loops: power synchronization loop (PSL), current controller (CC), current reference control (CREF), alternating-voltage control (UAC), direct-voltage control (VDC), bump less-transfer, and anti-windup strategy. For further details on PSC, refer to [106]. The active power synchronization control method eliminates the PLL; however in some instances, it needs to switch to a VCC strategy to limit the converter current, and thus, it requires a conventional PLL when the VCC mode is activated [95]. Reference [12] reports that a back-up PLL is still necessary to synchronize the converter with the AC grid following the occurrence of faults.
Based on its principle, there is a chance for the VSC-HVDC converter to be destabilized due to the AC grid losing synchronism, such as in the event of a fault, leading to a partial AC grid blackout. While a loss of synchronism is a rare occurrence in a meshed and strong AC grid, this is not the case for the Indonesian system, particularly in regions like Sulawesi, Kalimantan, and Nusa Tenggara, where the grids have a low short-circuit ratio.
Fig. 5
PSC control connected to weak AC grid [106]
Full size image

5.4 Synchronverters

Synchronverters extend the idea of PSC, where it replicates all of the synchronous generator’s concepts in a converter [107]. The synchronverters divide their block into power and electronic parts, similar to synchronous generators and they are able to perform frequency droop real power regulation, voltage droop, and reactive power regulation. However, implementation of synchronverters in an MTDC grid is difficult as it can only act as a master–slave configuration [108].
In weak grid scenarios—characterized by low short-circuit ratios (SCR) and significant resistive components—the control strategies must adapt to ensure reliable operation. Firstly, traditional synchronverters lack inherent current control, which can lead to issues during voltage sags. To address this, a current-controlled variation of the synchronverter has been proposed [109], incorporating an internal current controller. This approach helps prevent damage to the power converter and maintains system stability by managing the reference current derived from the voltage equation in the dq reference frame. Secondly, in weak grids, the line impedance includes considerable resistance, leading to cross-coupling between active power and voltage, as well as reactive power and phase angle.
The original synchronverter control mechanisms, which assume purely inductive line impedance, need modifications to account for these resistive effects. This necessitates the development of advanced control strategies that can effectively decouple these interactions to maintain stable operation [110]. Moreover, the synchronverter control can dynamically adjust the system’s inertia through a derived inertia function. This feature is particularly beneficial in weak grid conditions, where maintaining voltage stability is crucial. The ability to vary inertia helps the system respond more effectively to disturbances, although the impact on output may be minimal [111].

5.5 Virtual oscillator control

Virtual oscillator control (VOC) is an attractive technology for VSC-HVDC working under an island or grid-connected mode. The principle of VOC differs from PSC and synchronverters. The PSC and synchronverters control are all linear controls, while VOC control is a nonlinear control method. VOC introduces a nonlinear oscillation block into the control loop. Therefore, the inverter can generate AC voltage with controllable amplitude and frequency. The VOC is attractive because of its robustness and power balancing capabilities compared to PSC and synchronverters [112].
The time-domain oscillator is the first variant of VOC, introduced as a controller for single-phase inverters by [113115]. The studies show the advantage of VOC control, and in [116] extended it to three-phase VOC inverters. Van der Pol oscillator is the second variant of VOC, which has droop control functionality while also providing an enhanced dynamic response speed [112, 117]. However, it cannot follow dispatch commands and can only work independently, because the oscillator itself is an independent system whose structure and parameters cannot be changed during operation. The third variant, and also the latest one, is the dispatchable VOC [118120], which can provide an interface to grid operators to control its output power and frequency while also maintaining the advantage of other VOC variants.

5.6 MTDC control for weak AC grid

A unified virtual synchronous control is proposed for multiterminal VSC-HVDC systems [108]. The control is based on the emulation of the synchronous generator’s rotor (inertia emulation and damping) for grid synchronization with the dynamics within the DC capacitor and DC grid taken into account. Each VSC-HVDC converter performs an equal role in the voltage droop control scheme.

5.7 Suitability of available control methods for weak-to-weak AC-side connection

The emergence of energy islands, MTDC with distant offshore locations, and island-to-island connections increases the possibility of having a weak-to-weak or even weak-to-very weak grid interconnection using HVDC. Thus, suitable control methods will be a very challenging issue in maintaining the stable operation of the HVDC link. Based on the discussion in the previous subsection, a table presenting the suitability of a specific control method for weak-to-weak AC-side connection is provided in Table 2, where it shows that modified feedforward control might be the most suitable control approach for the Indonesian and other weak grids.
Table 2
Suitability of HVDC control methods for weak grid interconnector
No
Control
Control layer
Suitability
1
Vector control
Upper-outer
Not suitable, as it is significantly affected by the grid strength
2
Parameter retuning (vector control)
Upper-outer
Not suitable as it is only able to cover a small range of stable operating condition
3
Decoupling gains
Upper-outer
Require retuning if there is a modification in the network, i.e., expansion, maintenance, or fault
4
Frequency synchronization control
Upper-inner
Application for weak grid interconnection has not been tested and might require an additional control loop for weak grid interconnection
5
Power Synchronization Control
Upper-inner
Not suitable, as any desynchronization on the AC side will lead to HVDC destabilization
6
Synchronverters
Upper-inner
Not suitable, as the AC side is prone to disturbance, and any disturbance in the AC side has a chance to desynchronize the converter
7
Feedforward
Upper-outer
Robust against AC-side fault, faster response, but requires precise state estimation and reliable communication
In summary, as elaborated in Table 2, available control techniques designed for strong grids cannot be directly used for weak grids and thus require further adjustment for weak grid interconnection. Future work in this domain may involve the development of novel control techniques or the modification of existing controls to accommodate weak grid interconnections.

6 HVDC as multi-island interconnector: relevant projects and techno-economical study

The cost of HVDC converters and peripheral devices continues to decrease as the price of semiconductors decreases. The competitiveness of HVAC and HVDC over the years is compared in [121126]. In the year 2000, it was reported that the break-even distance for HVDC and HVAC OHL links ranged between 800 and 1000 km [121]. This was later updated to 500–800 km in a report published in 2007 [123], and further revised to 600 km in 2016 [124]. The most recent study, conducted in 2022 [126], concludes that the break-even distance for overhead HVDC and HVAC now ranges between 300 and 800 km. It is important to note that this relatively wide interval is attributed to various factors unique to different projects. In contrast, the break-even distance for underground HVDC compared to HVAC is reported to be between 50 and 100 km [127], and approximately 60 km for subsea cable transmission systems [128]. For a 400 MW offshore wind farm at average wind speed, the break-even distance between HVAC and LCC-HVDC is almost 52 km, and between HVAC and VSC-HVDC is around 85 km; however, these comparisons do not include the cost of diesel generator for enabling black-start capability of LCC-HVDC, AC-side reinforcement, and offshore platform in which LCC-HVDC requires larger footprint than VSC-HVDC [122]. In a higher power rating, i.e., 1.4 GW offshore wind, the break-even point of HVAC and VSC-HVDC is about 70 km [125]. However, this break-even distance could change significantly with the addition of supplementary devices, such as mid-cable reactive power compensation for offshore HVAC [129]. It is worth noting from the aforementioned literature that the break-even distance of both OHL and subsea HVDC compared to HVAC has a decreasing trend due to the advance of HVDC technologies.
Fig. 6
Indonesia electricity map: transmission system with an inset on Nusa Tenggara island [149]
Full size image
Table 3
Suitability Of HVDC control methods for weak grid interconnector
Island
Demand (GW)
Area (km\(^2\))
RES potentials (GW)
RES density (MW/km\(^2\))
Short-circuit capacity (GVA)
Java
28.69
126,700
39.98
0.30
15-30 (500 kV)
Kalimantan
1.67
743,330
64.08
0.08
1.5\(-\)3.0 (275 kV) 0.7\(-\)1.5 (150 kV)
Sulawesi
2.01
174,600
33.48
0.19
1.5\(-\)3.0 (275 kV) 0.8\(-\)1.5 (150 kV)
Nusa Tenggara
0.93
67,503
17.96
0.27
0.4\(-\)0.6 (150 kV) 0.1\(-\)0.4 (70 kV)
Sumatra
6.82
473,481
86.69
0.18
1.5\(-\)3.5 (275 kV) 1.0\(-\)1.5 (150 kV)
Maluku
0.23
78,897
3.17
0.04
0.5\(-\)0.6 (150 kV) 0.1\(-\)0.3 (20 kV)
Papua
0.44
785,753
25.01
0.03
0.1\(-\)0.2 (20 kV)
Fig. 7
A fictitious HVDC route to interconnect the Indonesian grid
Full size image
Table 4
Suitability Of HVDC Control Methods For Weak Grid Interconnector
Aspect
Preferred Solution
Reasoning
Converter
VSC-HVDC
Flexibility and suitability to a weak grid
Cable
-
The cable is not affected by grid strength. VSC projects prefer extruded, but in Indonesia, the water depth ( > 1000 m) in certain regions might require mass-impregnated
Circuit breaker
-
The circuit breaker is not affected by grid strength
AC-side reinforcement
Synchronous condenser from retired coal-fired power plants (CPPs)
Utilizing many CPPs planned to be retired due to the net-zero emission program
Control
Feedforward with precise state estimation
Robust against AC-side fault and faster response, but requires reliable communication
There are also several publications of techno-economic analysis conducted for a network specific such as Pakistan [130, 131], Pakistan to China [132], Sri Lanka to India [133], North Sea [134136], Cyprus [137], Spain [138], Swiss [139], North Africa to Italia [140], Australia [141143], and Trans-Asian [144]. These publications provide insights into the fact that the cost of HVDC connection is influenced not only by converter type and line length but also by case-specific factors such as voltage ratings, converter capacity, terrain, and local policies.
An approach to compare the effectiveness of HVAC, HVDC, and optimal frequency AC (OFAC) using a general cost function for a point-to-point connection is exercised in [145]. An OFAC is the utilization of different working grid frequencies, usually a lower one, usually in the range of 15-20 Hz, with the aim of reducing cable capacitance and skin effect. This resulted in a theoretically longer AC transmission length that can be spanned without the need for reactive power compensation. The employed cost function from [145] includes the calculation of capital expenditures (CAPEXs), operating expenditures (OPEXs), and reliability cost of each technology aspect, i.e., terminal costs, route capital costs, as well as terminal and route power loss costs. The same approach was applied to generalize the VSC-HVDC costs for different configurations, namely, back-to-back, interconnector, and offshore wind connection, as described in [146]. The general formula is derived from an extensive collection of techno-economic sources in the form of a common format and cost function.
The works in [145, 146] and the aforementioned techno-economic analysis reference are based on strong-to-strong grid connections, and the cost of AC-side reinforcement is not included. In a strong-to-weak or weak-to-weak HVDC connection, the control strategy is a challenging issue, and thus, AC-side reinforcement could be the only way to make these control and operation of strong-to-weak and weak-to-weak HVDC connection work. Integrating AC-side reinforcement cost into the HVDC cost calculation has not yet been done in the literature, but it should be accounted for as there is an increasing number of strong-to-weak and/or weak-to-weak HVDC connections.
In summary, research encompassing techno-economic analysis of HVDC can be classified into three categories:
  • finding the break-even distance between different technologies
  • applying a techno-economic study on a specific case and/or network
  • cost formulation of specific electrical components from the HVDC project
With the emergence of weak-to-weak grid interconnections, there is room for potential research in the techno-economic domain in those three categories, as the grid requires additional electrical apparatus to ensure the system’s operability. These adjustments will change the cost structure, break-even distance, and techno-economic results.

7 Application of HVDC technologies as weak grid interconnector in Indonesian grid

Indonesia is an archipelagic country comprising seven main islands, with a portion of its electricity distribution shown in Fig. 6. Java and Sumatra islands have well-meshed topologies, whereas the rest of the islands remain in an isolated state and have nonuniform voltage levels. The eastern part of Indonesia (Maluku, Papua, and Nusa Tenggara), being the least developed and populated region, uses 70 kV and 20 kV (distribution level) compared to 150, 275, and 500 kV in the western region. More details of the Indonesian grid system are provided in TABLE V. Note that data listed in TABLE V is derived from the authors’ interpretation and model of the Indonesian grid as depicted in the 10-year electricity plan from the system operator of the Indonesian grid; PT PLN (Persero) 2021–2030 [147]. Therefore, the calculated MVA short-circuit values should not be considered as definitive, but rather as indicative estimates. The potential of renewable energy sources for each main island is derived from the data available in [148]. It is essential to mention that single-line diagrams and synchronous generator parameters from the Indonesian system are not publicly accessible. As a result, the system’s operational and capability curves are also unavailable.
Despite possessing the highest RES density (MW/km\(^2\)) and being the most developed island, it is impractical to develop RES in Java due to its steep land acquisition cost. A more reasonable choice would be Nusa Tenggara island, which has a significant amount of RES potential, cheaper land acquisition and vast land availability compared to Java. Kalimantan is also a viable option to develop RES, as Indonesia will move its capital from Java to the Central Kalimantan region. Given that Indonesia is trying to shift its dependence on fossil (around 67% of Indonesian electricity is generated from fossil fuels) by setting a net-zero emission in 2060, replacing fossil generation with RES and interconnecting those seven main islands will be the solution. However, since each island is separated by more than 100 km (except for Java and Sumatra, where the distance is approximately 30 km), an HVDC interconnector is more suitable than an HVAC. An illustrative route for interconnecting the Indonesia main islands and their renewable energy source potentials is provided in Fig. 7.
Considering the electrical network outside Java, should HVDC connect islands, it will result in weak-to-weak or even very weak-to-very weak AC grid interconnection. Certain actions must be taken to ensure the operability of those weak-to-weak HVDC interconnections. Table 4 details suggested actions for the Indonesian grid based on previously mentioned HVDC technologies suitable for weak-to-weak grid interconnection. It is also worth noting that the latest Indonesian grid code (the 2020 grid code) does not possess a section on HVDC connection. Therefore, it is also important to draft the regulation for the HVDC grid code that is suited to Indonesia’s condition.
In the context of HVDC as a weak grid interconnector in Indonesia, several potential research topics could be explored, including novel control strategies and techno-economic analyses to identify the most cost-effective routes. Additionally, another potential research topic is the proposal to incorporate HVDC in the current grid code.

8 Conclusion

This paper reviewed and assessed the suitability of different technologies for weak-to-weak grid interconnections. An application of current HVDC technologies for a grid with possible multiple weak grid interconnections is also provided. Based on the assessment, several conclusions can be derived:
1.
Based on converter technology, it is concluded that VSC-HVDC is more suited than LCC-HVDC
 
2.
Based on cable technology, both mass-impregnated (MI) and extruded cables are more suited than oil-filled; however, this is mainly due to their ability to operate over longer distances and high depths
 
3.
DC circuit breaker, in terms of its operating principle, does not necessarily differ between strong-to-strong, strong-to-weak, or weak grid interconnection
 
4.
AC-side reinforcement is required and can be done by either increasing the voltage level, building a new substation, installing a synchronous condenser, and/or other reactive power devices
 
5.
The cost of network reinforcement needs to be incorporated into the techno-economic analysis
 
6.
Available control techniques for strong grid interconnection might not be able to work or require adjustment for a weak-to-weak grid interconnection, e.g., vector control and parameter retuning might not be suitable, whereas frequency synchronization control might require additional control loop
 

Acknowledgements

The research is funded by the Ministry of Foreign Affairs of Denmark via the Danida Fellowship Centre under the project title ‘HVDC GREEN: HVDC GRid for intErconnEcting Nusantara,’ and project number 20-M02AAU.

Declarations

Conflict of interest

The authors declare no conflict of interest.
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Title
Review of HVDC technologies for weak grid interconnectors
Authors
Roni Irnawan
Rian Fatah Mochamad
Filipe Faria da SIlva
Qi Zhang
Sarjiya
Claus Leth Bak
Evy Haryadi
Publication date
07-10-2024
Publisher
Springer Berlin Heidelberg
Published in
Electrical Engineering / Issue 4/2025
Print ISSN: 0948-7921
Electronic ISSN: 1432-0487
DOI
https://doi.org/10.1007/s00202-024-02761-6
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