Categories
Stability Wind Farms

Grid forming converter in CIGRE 928 benchmark system

For both grid-following (GFL) and grid-forming (GFM) control, the same hardware structure is used, specifically an IGBT-based two-level voltage-sourced converter (VSC) with a 12 MW rating. This converter is connected to the plant via a 0.69/66 kV transformer, with the grid-side reactance of the LCL filter acting as the step-up transformer.

The converter control is configured to operate in grid-forming mode, using vector control in the dq-reference frame. The control system includes the following components: power calculation, power regulation, voltage regulation, current regulation, and pulse-width modulation (PWM). Additionally, an active damping control utilizing feedback from the series reactor current is considered.

Subsystems of grid-forming converter

Anti-aliasing filtering and sampling: The anti-aliasing filter is a second-order Butterworth filter, with a cut-off frequency set to half the sampling frequency. Sampling delays are approximated using a third-order Padé formula.

Park transformation: Grid-forming control is implemented in a reference frame synchronized to an arbitrary input, provided in per unit (p.u.), where the reference frequency (f*) is set to 1. In practical applications, the phase can be provided by a low-bandwidth phase-locked loop (PLL) that slowly tracks the system frequency.

Power calculation: Instantaneous active and reactive power are calculated based on voltage and current measurements taken at the LCL filter's output.

Power regulation: In GFM mode, power synchronization control generates the reference for the voltage angle, while reactive power control sets the reference for the voltage amplitude. Active and reactive power droop characteristics are combined with a simple low-pass filter.

Voltage regulation: The voltage is controlled through a proportional-integral (PI) regulator, ensuring zero steady-state error. Active damping is also incorporated to enhance noise rejection and system stability.

Current regulation: A proportional (P) controller manages the current, as the integral (I) component is unnecessary; the voltage regulator already handles tracking the voltage reference. Adding complexity to the current regulator may adversely affect converter stability.

PWM: The modulation block calculates the switching functions and sends pulse patterns to the converter's gate drivers. The PWM delay is also accounted for in this block.

Note: The proposed GFM control does not include DC voltage regulation. It is assumed that the GFM converter maintains a stable DC link voltage, such as from a battery energy storage system (BESS), so DC voltage control is unnecessary.

Benchmark grid forming converter control block diagram.

Grid-forming converter parameters

The electrical circuit for GFM unit is assumed to be the same as for GFL converter. The control structure is visualized in figure below.

List of parameters in the grid forming converter control system.

References

[1] Ł. Kocewiak, Ch. Buchhagen, R. Blasco-Gimenez, J. B. Kwon, M. Larsson, Y. Sun, X. Wang et al., “Multi-frequency stability of converter-based modern power systems,” Technical Brochure 928, Page(s) 1-147, CIGRE, March 2024.

Categories
Measurements Stability Wind Farms

Grid following converter in CIGRE 928 benchmark system

The primary objective of the benchmark model is to serve as a reference for studying interactions between converters and the grid. It provides a foundation for evaluating small-signal stability analysis methods and instability mitigation techniques. The model includes aggregated grid following (GFL) converters, interconnected via a medium-voltage (MV) cable network.

The model is inspired by a real-life AC cable-connected offshore wind power plant (PP). The GFL converter model is a part of benchmark system, introduced by CIGRE WG C4.49 and published in the CIGRE 928 technical brochure.

The model is developed in the dq-reference frame to simplify modelling and avoid coupling in the control system. The converter is based on a standard insulated-gate bipolar transistor (IGBT)-based two-level voltage source converter (VSC), rated at 12 MW, as typically seen in modern offshore wind turbines (WTs). To simplify the analysis, the mechanical system and its controllers are not included.

Converter control is designed as GFL unit, employing vector control in the dq-reference frame and a synchronous reference frame (SRF) phase-locked loop (PLL) for grid synchronization. The dq currents regulate the DC link voltage and either the voltage or reactive power at the converter terminals. Active damping control, using capacitor current feedback, is also incorporated to enhance stability.

The converter system is linked to the grid through a 0.69/66 kV transformer, where the low-voltage reactance corresponds to the grid-side reactance of the LCL output filter.

Benchmark grid following converter control block diagram.

Subsystems of grid-following converter

The converter control system has been tuned to mimic the behavior of a generic converter model and has not yet been customized for the specific grid under study. As a result, various instabilities may arise in both the base case and during disturbance scenarios.

Anti-aliasing Filter and Sampling: the anti-aliasing filter is implemented using a second-order Butterworth filter, with the cutoff frequency set at half of the sampling frequency and the sampling delay is approximated using a third-order Padé approximation.

Park Transformation: the GFL control is implemented in a synchronous reference frame (SRF), with the phase determined by a phase-locked loop (PLL) that tracks the system frequency.

Power Calculation: instantaneous active and reactive power are calculated from voltage and current measurements taken at the output of the LCL filter.

DC Voltage Control: the DC voltage regulation is managed through a proportional-integral (PI) controller.

AC Voltage Control: the AC voltage regulation is implemented using a simple droop control method.

Reactive Power Control: the reactive power regulation is handled by a proportional-integral (PI) controller.

Phase-Locked Loop (PLL): the grid synchronization system uses a PLL, where the voltage’s q-component is filtered by a first-order low-pass filter and regulated by a PI controller, which provides the system’s angular frequency, which is then integrated to determine the phase for the Park transformation.

Current Control: the converter reactor current regulation is achieved using PI controllers with decoupling in the SRF, and active damping is incorporated to attenuate the capacitor current in the LCL filter, and an output voltage feed-forward component is added to the voltage reference.

Pulse Width Modulation (PWM): the modulation block computes the switching functions and provides the pulse patterns to the converter gate drivers and the PWM delay is also included.

Grid following converter parameters

List of parameters in the grid following converter electrical circuit.
List of parameters in the grid following converter control system.

References

[1] Ł. Kocewiak, R. Blasco-Gimenez, C. Buchhagen, J. B. Kwon, M. Larsson, Y. Sun, X. Wang, “Practical Aspects of Small-signal Stability Analysis and Instability Mitigation,” in Proc. The 21st Wind & Solar Integration Workshop, 12-14 October 2022, The Hauge, The Netherlands.
[2] Ł. Kocewiak, R. Blasco‐Giménez, C. Buchhagen, J. B. Kwon, M. Larsson, A. Schwanka Trevisan, Y. Sun, X. Wang, “Instability Mitigation Methods in Modern Converter-based Power Systems,” in Proc. The 20th International Workshop on Large-Scale Integration of Wind Power into Power Systems as well as Transmission Networks for Offshore Wind Farms, Energynautics GmbH, 29-30 September 2021.
[3] Ł. Kocewiak, R. Blasco‐Giménez, C. Buchhagen, J. B. Kwon, Y. Sun, A. Schwanka Trevisan, M. Larsson, X. Wang, “Overview, Status and Outline of Stability Analysis in Converter‐based Power Systems,” in Proc. The 19th International Workshop on Large-Scale Integration of Wind Power into Power Systems as well as Transmission Networks for Offshore Wind Farms, Energynautics GmbH, 11-12 November 2020.

Categories
Methodology Stability Wind Farms

CIGRE C4.49: Multi-frequency stability of converter-based modern power systems

Background

Nowadays, it is seen that the rapid transformation of power systems from conventional with high natural damping, short-circuit current and natural inertia to power-electronic-based with limited damping, fault infeed and inertia may trigger unstable operation, if not investigated carefully. Moreover, the electrical infrastructure is becoming more complex due to the introduction of long high voltage alternating current (HVAC) cables, high voltage direct current (HVDC) connections, widespread penetration of renewable energy sources, e.g. photovoltaic (PV) plants, wind power plants (PPs), and offshore electrical network development. This power system transformation creates challenges such as operational coordination of grid-connected converters and small-signal stability assurance both in the sub-synchronous and harmonic (super-synchronous) frequency regions.

Motivation

The increased use of power electronic converters in modern electrical systems creates challenges w.r.t. power system stability assurance but also simultaneously provides wide range of power system performance and stability enhancement solutions. Better understanding about the application of various instability mitigation methods, including impact on power system performance, use depending on instability root cause, implementation methodology, is needed. Power system operators, operators of renewable PPs, transmission solution developers, renewable generation developers, academic units and original equipment manufacturers expect coordinated effort to understand when and how to apply specific mitigation measures.

Therefore, the overview, status and outline of instability mitigation methods in converter-based modern power systems is needed. Thus, the CIGRE C4.49 working group entitled “Multi-frequency stability of
converter-based modern power systems” was established. The instability phenomena, instability root cause and suggests optimal mitigation measures are investigated within the working group. Moreover, guidelines regarding the general approach how to choose optimal instability mitigation method will be suggested in the technical brochure.

Scope

  1. Review of existing literature regarding subject related stability issues including state-of-the-art converter stability aspects.
  2. Definition of stability phenomenon to be covered within the technical brochure.
    • Stability effects above the fundamental frequency, i.e. harmonic stability.
    • Small-signal stability below the fundamental frequency, i.e. sub-synchronous stability.
    • Clarification of definitions to avoid misinterpretation with steady-state harmonics and classical harmonic propagation analysis.
    • Symptoms and root causes of sub-synchronous and harmonic stability phenomenon.
    • Examples of sub-synchronous and harmonic stability phenomena observed and their impact on wider power systems.
  3. The impact of grid-connected converter controllers on sub-synchronous and harmonic stability phenomenon.
    • Classification of typical controllers used in modern converters.
    • Evaluation of various control loops and techniques and their impact on stability, e.g. voltage control, current control, phase-locked loop.
    • Frequency range of interest and controller interactions/couplings.
  4. Overview of linear modelling and analysis methods to perform small-signal stability studies, e.g.
    • Classical control theory approach of linear time-invariant systems, i.e. compensator and plant interactions, and possible general extension to linear time varying systems including e.g. linear time-varying periodic systems.
    • Impedance-based stability criterion.
    • Advantages and disadvantages of single-input single-output and multiple-input multiple-output representation.
    • Relevant stability evaluation methods, e.g. eigenvalue analysis, Nyquist criterion.
  5. Other analysis techniques.
    • Time-domain numerical simulations of linear and non-linear systems.
    • Frequency and sequence coupling investigation.
    • Stability of non-linear dissipative dynamic systems including e.g. limit cycle and bifurcation theory investigation.
  6. Description of mitigation methods to overcome sub-synchronous and harmonic stability issues, e. g.
    • Clear evaluation criteria and minimal requirements regarding the stability indices, e. g. stability margins, damping.
    • Recommendations to address plant resonance profile at early stage during the grid-connected converter controller design.
    • Converter coordination guidelines in modern power systems to avoid potential instability, e. g. passivity requirements.
    • Mitigation measures incorporated in the grid-connected converter control (e.g. active damping) or within the power system electrical infrastructure (e.g. passive damping), also at later stage of project development or during operation.
  7. Guidelines on general approach to such studies and the availability as well as choice of tools. Identification of limitations with the available analysis tools and suggestion of possible areas for development.

References

Ł. Kocewiak, R. Blasco‐Giménez, C. Buchhagen, J. B. Kwon, M. Larsson, A. Schwanka Trevisan, Y. Sun, X. Wang, “Instability Mitigation Methods in Modern Converter-based Power Systems,” in Proc. The 20th International Workshop on Large-Scale Integration of Wind Power into Power Systems as well as Transmission Networks for Offshore Wind Farms, Energynautics GmbH, 29-30 September 2021.

Ł. Kocewiak, R. Blasco‐Giménez, C. Buchhagen, J. B. Kwon, Y. Sun, A. Schwanka Trevisan, M. Larsson, X. Wang, “Overview, Status and Outline of Stability Analysis in Converter‐based Power Systems,” in Proc. The 19th International Workshop on Large-Scale Integration of Wind Power into Power Systems as well as Transmission Networks for Offshore Wind Farms, Energynautics GmbH, 11-12 November 2020.

Categories
Harmonics Wind Farms

Active Filtering Functionality in Wind Turbines Connected to Wind Power Plant Offhore Network

Active Filtering (AF) functionality can be understood very broadly. A number of technical solutions could be introduced in grid-tied converters functionality depending on the expected outcome.

1           Local resonance damping

The Wind Turbine (WT) is connected to an offshore array cable system within Wind Power Plant (WPP) electrical infrastructure. The aim of AF is to mitigate or damp internal resonances within the WT Low-Voltage (LV) circuit. It could be mainly resonances caused by shunt-connected Pulse Width Modulation (PWM) filters in connection to series inductance. That would allow other converters (e.g. WTs) in the same power system not to be affected by undamped resonances. In this case the WT is acting as virtual damping circuit.

2           Local harmonic current compensation

It can be seen that WTs inject harmonics into the system to which are connected. The amount of injected current is of course dependent on the system impedance. In that case even small voltage distortion imposed by the Voltage Source Converter (VSC) can cause unacceptable excessive distortion level caused by a resonance circuit within the offshore electrical infrastructure. Furthermore due to already existing harmonic voltage distortion in the system where the WT is connected harmonic current can also flow into the WT internal circuit from the network. The task of AF would be to control the current flow between the WT converter and the external network and e.g. reduce it to minimum.

3           Local voltage distortion mitigation

As mentioned above even small voltage distortion introduced by WT’s grid-tied converter can lead to excessive harmonic current flow in the resonant network to which the WT is connected. The goal of AF would be to improve and minimise as much as possible the voltage distortion level at the converter terminals caused by the power electronics non-linarites as well as limited harmonic rejection capability of the controller. The equivalent voltage source of the VSC would tend to be as less distorted as possible.

4           Unity amplification factor

In many cases when a new plant (e.g. STATCOM) is connected to already existing power systems it is strongly desired that the new plant will not change the harmonic profile after the connection of the existing before system. This can be obtained fulfilling two objectives (i) no harmonic contribution/injection, (ii) no changes in the system impedance at the Point of Connection (POC). The second objective is related to unity amplification factor at POC which can be achieved by AF so the newly connected impedance in not visible to the existing network. Such requirement can be put also to WTs.

5           Resonance damping at the remote bus

Having a number of WTs in WPPs allows also looking on AF in more global way. WTs could be programmed to mitigate prominent resonances in the WPP offshore network, e.g. Offshore Grid Entry Point (OGEP) in the UK or Point of Common Coupling (PCC) in Germany. This would optimize the overall system damping leading to robustness increase of grid-tied converters as well as lower harmonic voltage distortion level. The WTs would operate in groups or clusters and could be understood from electrical infrastructure perspective as an equivalent damped filter.

6           Harmonic compensation at the remote bus

Nowadays it is more and more challenging to meet demanding grid-code requirements, especially in resonant offshore networks with low damping. Therefore the AF functionality in WTs leading to keep the harmonic voltage distortion level at e.g. PCC as specified in the grid-code is critical to assure continuous WPP active power production. WTs could act in groups or individually to achieve that objective, e.g. the 7th harmonic equal or lower than 0.5% at OGEP in the UK or harmonic current injection from all WTs cannot cause higher voltage distortion incremental higher than 0.1% in Germany.

7           Converter controller passivity

In modern WPPs the industry is facing more and more diversification in utilized power electronic devices and their controls. One of examples would be HVDC-connected WPP with multi-vendor WT configuration or HVAC-connected system employed simultaneously with WTs and STATCOMs. That creates even more challenges considering grid-tied converter interaction issues such as stability. Furthermore more complex control structures imposed by AF functionality application requires more focus at the early stage of the WPP system design. Therefore one of potential requirements to the suppliers would be to assure converter passivity within specified frequency range where e.g. where AF is applied. This would secure the robustness of the overall system operation.

Categories
Harmonics Wind Farms

Active Filtering Functionality in Wind Turbines - Motivation

The offshore AC electrical infrastructure in Wind Power Plants (WPPs) connected via either HVAC transmission cable (e.g. Hornsea Wind Farm) or HVDC link (e.g. Gode Wind Farm) is a sensitive network because of its low damping caused by the design focused on low transmission losses. The combination of transformers and cables with low equivalent resistance within the electrical infrastructure makes very good resonance circuits due to the low damping. There are many possible resonance frequencies in the offshore grid with a large amount of cables and transformers connected. Such complex configuration as well as low active power dissipation (due to low resistance to reduce active power losses) creates challenges by means of harmonic performance, grid code compliance, power transmission, stability of grid-tied converters etc.

The presence of undamped resonances means that whenever an oscillation is excited (e.g. by non-linear components such as transformers, power electronics etc.) it takes long time for it to be damped out. The problem becomes even more severe when the system is unloaded, e.g. during energization or when some Wind Turbines (WTs) are out of service and the cable network is unloaded. When the system is loaded (active power is transmitted), the overall damping is higher and the harmonics are reduced faster than with an unloaded scenario.

Besides in case of widespread array cable system in the offshore electrical infrastructure resonance frequencies can shift due to changes in the system topology, e.g. number of WTs is varying, transformer or transmission cable disconnection, interlink operation etc. This furthermore creates challenges to introduce robust harmonic resonance mitigation measure. Typically one can recognize two ways of mitigating unwanted harmonics in modern power systems (i) passive filtering, (ii) Active Filtering (AF) by grid-tied converters. Variation of resonance frequencies caused by topology change requires large passive filters (e.g. damped high-pass filters such as C-type) which are not feasible, in many cases, to be installed offshore. Therefore, for optimization of offshore electrical infrastructure in WPPs AF (or a combination of active and passive filters) seems to be solution that is more appropriate.

The density of power in modern WTs is increasing meaning that they contribute more to the system’s quality of power. It could be either by higher harmonic pollution or by improved technical solutions leading to almost undistorted networks. In case of resonance networks, it is critical that the harmonic injection by WTs is very small and controlled. Therefore, utilization AF in WTs is a natural step forward to improve the overall distortion level of offshore networks in WPPs.