Di Wu’s research while affiliated with Hangzhou University and other places

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Publications (95)


Placing Storage Energies for Enhancing Small-Signal Stability of Converter-Based-Renewable Systems
  • Article

January 2025

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16 Reads

IEEE Transactions on Industry Applications

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Yi Hao

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Huanhai Xin

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[...]

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Di Wu

Storage energies (SEs) have the flexibility of bi-directional power regulation, so they have been integrated into the power system via power electronic converters to reduce the power fluctuations introduced by converter-based renewables (CBRs), such as solar and wind. However, converter-based SEs may interact with CBRs through the power network, which increases the complexity and difficulty of the phase-lock-loop (PLL)-induced small-signal stability analysis in multi-CBR systems, especially in weak grids. In this context, it remains unclear how the placement of SEs influences the PLL-induced small-signal stability, particularly when the SEs absorb active power from grids. To fill this gap, this paper analyzes the impact of SEs on the PLL-induced small-signal stability in multi-converter systems from the perspective of grid strength and proposes a method for optimally placing SEs to enhance the small-signal stability. First, the analytic results reveal that when the SEs absorb active power from the power grid, they can enhance grid strength and thus the PLL-induced small-signal stability; moreover, the degree of system stability improvement depends on the location of SE placement. On this foundation, a grid-strength-based method is proposed for the PLL-induced small-signal stability improvement via SE placements. The proposed method is validated based on three test systems. This paper provides an effective way of better understanding the interaction among SEs and CBRs through power network, and coordinating the placements of SEs in future converter-dominated power systems.



Assessing Small-Signal Grid Strength of 100% Inverter-Based Power Systems

October 2024

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33 Reads

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2 Citations

IEEE Transactions on Power Delivery

The increasing integration of renewable resources via power electronic inverters is shifting a modern power system toward a 100% inverter-based power system (IBPS). To maintain the stable operation of a 100% IBPS, it is important to identify the small-signal stability issues resulting from the interaction between the power network and inverter-based apparatuses. While grid strength assessment is a useful tool for quickly identifying the small-signal stability issues, the existing methods are not applicable to the 100% IBPS dominated by grid-following (GFL) and grid-forming (GFM) inverters. To fill this gap, the paper proposes a method for assessing small-signal grid strength of the 100% IBPS in order to quickly identify the small-signal stability issues from the perspective of grid strength. First, we formulate a multi-inverter system modeling for the small-signal stability analysis of the 100% IBPS. Then, based on the analysis results, an index is proposed for quantifying grid strength, and its threshold is also analytically defined to characterize the system stability boundary. Also, an analytical expression is derived to determine the threshold and analyze the impacts of GFL and GFM inverters on the stability boundary. With the defined index and its threshold, our method is proposed and then validated on a modified IEEE 39-bus system.


Assessing Small-Signal Grid Strength of 100% Inverter-Based Power Systems
  • Preprint
  • File available

May 2024

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56 Reads

The increasing integration of renewable resources via power electronic inverters is shifting a modern power system toward a 100% inverter-based power system (IBPS). To maintain the stable operation of a 100% IBPS, it is important to identify the small-signal stability issues resulting from the interaction between the power network and inverter-based apparatuses. While grid strength assessment is a useful tool for quickly identifying the small-signal stability issues, the existing methods are not applicable to the 100% IBPS dominated by grid-following (GFL) and grid-forming (GFM) inverters. To fill this gap, the paper proposes a method for assessing small-signal grid strength of the 100% IBPS in order to quickly identify the small-signal stability issues from the perspective of grid strength. First, we formulate a multi-inverter system modeling for the small-signal stability analysis of the 100% IBPS. Then, based on the analysis results, an index is proposed for quantifying grid strength, and its threshold is also analytically defined to characterize the system stability boundary. Also, an analytical expression is derived to determine the threshold and analyze the impacts of GFL and GFM inverters on the stability boundary. With the defined index and its threshold, our method is proposed and then validated on a modified IEEE 39-bus system.

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Figure 1. (a) Third harmonic cancellation through a 60-degree phase shift of inverter 2 in a twocoupled inverter system. (b) Harmonic cancellation through a 30-degree phase shift of inverter 2 in a two-coupled inverter system [17].
Figure 2. Topological configuration of N coupled inverters.
Figure 5. The hardware configuration of the experimental test setup.
Figure 6. Experimental results of the impact of electrical distance on total harmonic distortion in coupled inverter systems. (a) Voltage waveform of ten tested configurations with varying inductance. (b) Fast Fourier transform (FFT) analysis of ten tested configurations showing the levels of harmonic distortion (dB).
Figure 7. Experimental result of output THD level vs. electrical distance for initial experimental study (test repeated 3 times at any distance).

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Nonlinear Impact of Topological Configuration of Coupled Inverter-Based Resources on Interaction Harmonics Levels of Power Flow

May 2024

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89 Reads

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1 Citation

The increasing level of harmonics in the power grid, driven by a substantial presence of coupled inverter-based energy resources (IBRs), poses a new challenge to power grid transient stability. This paper presents the findings from experiments and analytical studies on the impact of the topological configuration of coupled IBRs on the level of power flow harmonics in a distribution grid: (i) our findings report that the impact of grid topology on harmonics is nonlinear, which is in contrast to the common perception that the power grid operates as a large linear low-pass filter for harmonics; (ii) importantly, this study highlights that the influence of the topological configuration of inverters on the reduction of system-level harmonics is more substantial than the effect of line impedance, emphasizing the significance of grid topological configuration; (iii) furthermore, the observed reduction in harmonics is attributed to a harmonic cancellation effect achieved through self-compensation by all the coupled inverters without affecting the active power flow in the power grid. These findings propose a new approach to limit the penetration of complex IBR harmonics in the power grid from a system-wide perspective. This approach significantly differs from the component-level or localized solutions used today, such as inverter control, power filtering, and transformer tap changes.


Assessing Small-Signal Grid Strength of 100% Inverter-Based Power Systems

May 2024

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45 Reads

The increasing integration of renewable resources via power electronic inverters is shifting a modern power system toward a 100% inverter-based power system (IBPS). To maintain the stable operation of a 100% IBPS, it is important to identify the small-signal stability issues resulting from the interaction between the power network and inverter-based apparatuses. While grid strength assessment is a useful tool for quickly identifying the stability issues, the existing methods are not applicable to the 100% IBPS dominated by grid-following (GFL) and grid-forming (GFM) inverters. To fill this gap, the paper proposes a method for fast assessing grid strength in terms of small-signal stability in the 100% IBPS. First, we formulate a multi-inverter system modeling for the small-signal stability analysis of the 100% IBPS. Then, based on the analysis results, an index is proposed for quantifying grid strength, and its threshold is also defined to characterize the system stability boundary. Also, an analytical expression is derived to determine the threshold and analyze the impacts of GFL and GFM inverters on the stability boundary. With the defined index and its threshold, our method is proposed and then validated on a modified IEEE 39-bus system.



On SINDy Approach to Measure-Based Detection of Nonlinear Energy Flows in Power Grids with High Penetration Inverter-Based Renewables

February 2024

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57 Reads

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1 Citation

The complexity of modern power grids, caused by integrating renewable energy sources, especially inverter-based resources, presents a significant challenge to grid operation and planning, since linear models are unable to capture the complex nonlinear dynamics of power systems with coupled muti-scale dynamics, and it necessitate an alternative approach utilizing more advanced and data-driven algorithms to improve modeling accuracy and system optimization. This study employs the sparse identification of nonlinear dynamics method by leveraging compressed sensing and sparse modeling principles, offering robustness and the potential for generalization, allowing for identifying key dynamical features with relatively few measurements, and providing deeper theoretical understanding in the field of power system analysis. Taking advantage of the this method in recognizing the active terms (first and high order) in the system’s governing equation, this paper also introduces the novel Volterra-based nonlinearity index to characterize system-level nonlinearity. The distinction of dynamics into first-order linearizable terms, second-order nonlinear dynamics, and third-order noise is adopted to clearly show the intricacy of power systems. The findings demonstrate a fundamental shift in system dynamics as power sources transit to inverter-based resources, revealing system-level (second-order) nonlinearity compared to module-level (first order) nonlinearity in conventional synchronous generators. The proposed index quantifies nonlinear-to-linear relationships, enriching our comprehension of power system behavior and offering a tool for distinguishing between different nonlinearities and visualizing their distinct patterns through the profile of the proposed index.


Robust Adaptive Control of STATCOMs to Mitigate Inverter-Based-Resource (IBR)-Induced Oscillations

January 2024

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24 Reads

IEEE Transactions on Sustainable Energy

Integrating static synchronous compensators (STATCOMs) in a multiple inverter-based-resource (IBR) system for voltage support can deteriorate sub/sup-synchronous oscillation issues caused by the interaction among IBRs and power networks, especially in low short-circuit-level grids. However, it is still challenging to fully understand the impact mechanism of STATCOMs on IBR-induced oscillation issues and to effectively design STATCOMs' control for dampening these oscillation issues in a multi-IBR system due to complex system dynamics and varying operating conditions. To tackle these challenges, this paper proposes a novel method to reveal how STATCOMs influence IBR-induced oscillation issues in a multi-IBR system from the viewpoint of grid strength, which can consider varying operating conditions. Furthermore, we investigate the robust small-signal stability of the multi-IBR system with STATCOMs by designing STATCOMs' control parameters to ensure the robust small-signal stability of multiple subsystems under critical operating conditions. This avoids exhaustive studies on many operating conditions with detailed system models. The proposed methods are validated on a modified IEEE 39-node test system. This paper provides an effective way of better understanding the interaction among diversified devices through power network, and coordinating their controls to ensure the system's robust small-signal stability in modern power systems integrated with large-scale power converters.



Citations (56)


... However, only placement of GFM converters is achieved without considering the sizing problem. Ref. [17] further revealed that the internal impedance of a GFM converter is directly related to the GFM control parameters, and simply ignoring it may lead to inaccurate results in many cases. As such, the GFM converter is represented by its equivalent Thevenin circuit in characterizing its influence on the gSCR based system strength. ...

Reference:

System Strength Constrained Grid-Forming Energy Storage Planning in Renewable Power Systems
Assessing Small-Signal Grid Strength of 100% Inverter-Based Power Systems
  • Citing Article
  • October 2024

IEEE Transactions on Power Delivery

... Distributed energy sources are being integrated into power systems on an increasing scale. Nonlinear devices, including grid-connected converters, electromagnetic saturated motors, and impact loads, serve as harmonic sources that inject harmonics into the public grid, thereby impairing the normal operation of the power system [1][2][3][4][5]. To mitigate these harmonics, an accurate harmonic state evaluation (HSE) is essential [6][7][8][9]. ...

Nonlinear Impact of Topological Configuration of Coupled Inverter-Based Resources on Interaction Harmonics Levels of Power Flow

... Extracting a radial configuration of Distribution Networks (DNs) is critical for operators due to controllability and network security requirements [1]. Radiality ensures that power flows in a single path, enhancing reliability and simplifying fault detection. ...

Multilayer analysis of energy networks
  • Citing Article
  • May 2024

... Moreover, sparse identification of nonlinear dynamics (SINDy) has been used in [3] to learn the frequency and voltage dynamics for a microgrid under disturbances, e.g., load variations, based on state measurements. The authors of [4] use voltage measurements to learn the dynamics of a power grid for load variations and fault scenarios with SINDy. Lastly, the authors of [5] use a gray-box model for gridforming units, called normal form, to identify the dynamics of a single grid forming inverter under fault conditions. ...

On SINDy Approach to Measure-Based Detection of Nonlinear Energy Flows in Power Grids with High Penetration Inverter-Based Renewables

... [15] combines the frequency-domain approach with gSCR for multi-infeed systems. [16] further accommodates heterogeneous IBRs into gSCR by using the whole-system impedance/admittance matrix [17] to take into account the detailed control of all apparatuses and their interactions in the system. The investigation down this line has made significant progress but there are still propelling questions yet to be answered. ...

Assessing Grid Strength of 100% Inverter-Based Power Systems

... The indicator could accurately evaluate the system strength within the operation frequency range of grid-forming and grid-following inverters, achieving effective evaluation of short-term voltage stability and accurate identification of weak areas in the system. To evaluate the grid strength of power systems of high renewable energy penetration rate, a generalized operation SCR indicator was defined in [19], which could analyze the small signal stability of renewable energy power systems with multiple inverters and was applicable to the grid strength evaluation of different inverter systems. However, the papers [17][18][19] did not address the issues of frequency stability evaluation. ...

Generalized Operational Short-Circuit Ratio for Grid Strength Assessment in Power Systems With High Renewable Penetration
  • Citing Article
  • January 2023

Power Systems, IEEE Transactions on

... Typically, an increase in SCR indicates a stronger AC grid and enhanced system stability. Conversely, a decrease in SCR suggests reduced system stability [11]. In conventional AC/DC systems, the SCR is used to assess the relative strength of the AC system following the integration of traditional DC feeds, as well as the static voltage stability of the entire system [12]. ...

Grid Strength Assessment for Inhomogeneous Multi-Infeed HVDC Systems via Generalized Short Circuit Ratio

Journal of Modern Power Systems and Clean Energy

... The concept of phase-shifting is specifically discussed in [15], which explains the relation between harmonics reduction and phase displacements from a perspective of coupled IBRs, as well as the nonlinear effect of cancellation interactions of IBRs. ...

Impact of Phase Displacement among Coupled Inverters on Harmonic Distortion in MicroGrids
  • Citing Conference Paper
  • June 2023

... The authors in Rahman et al. (2021) proposed a PM based on the MCS method to assess the impact of photovoltaic (PV) generation on voltage stability in distribution systems. In addition, other methods, such as Latin hypercube sampling (2022), the probabilistic collocation method as in Ye et al. (2022), Maharjan et al. (2023), and unscented transforms (UT) as in Fattahi et al. (2022), Canon and Jafarzadeh (2018), among others, have been proposed for analyzing the effect of uncertainties on power system stability. While PCE and UT can satisfactorily handle high-dimensional RVs with non Gaussian distributions, the accuracy of their results depends on the alternative models constructed from the training data and is computationally intensive with the size of the power system. ...

Evaluating grid strength under uncertain renewable generation
  • Citing Article
  • March 2023

International Journal of Electrical Power & Energy Systems

... According to Ref. [26], the impedance matrix of the CBR with grid-following control under varying active power outputs can be approximately written as where Y0(s) is impedance matrix of a CBR with rated active power output. ...

Small-signal Stability Analysis of Power Systems under Uncertain Renewable Generation
  • Citing Conference Paper
  • July 2022