Grid Forming Inverter Small Signal Stability: Examining Role of Line and Voltage Dynamics

This paper presents a small signal stability analysis of a grid-forming inverter when dynamics of transmission lines and nodal voltages are considered or neglected. Electromagnetic transients of lines are usually ignored in traditional power systems small signal stability studies due to separation of time-scales. However, the former assumption may have different implications in the case of inverter dominated power systems, and requires further study. In this paper, we perform an eigenvalue analysis of a virtual synchronous machine connected to an infinite bus under several operating conditions. This allows us to study the effect of line and voltage dynamics approximations on small signal stability. Results show that although the eigenvalues are close for different levels of approximation, the small signal stability regions could significantly differ depending on the approximation used.

[1]  Gabriela Hug,et al.  Stability Analysis of Converter Control Modes in Low-Inertia Power Systems , 2018, 2018 IEEE PES Innovative Smart Grid Technologies Conference Europe (ISGT-Europe).

[2]  Marcello Colombino,et al.  The Effect of Transmission-Line Dynamics on Grid-Forming Dispatchable Virtual Oscillator Control , 2018, IEEE Transactions on Control of Network Systems.

[3]  James L. Kirtley,et al.  High-Fidelity Model Order Reduction for Microgrids Stability Assessment , 2018, IEEE Transactions on Power Systems.

[4]  Joe H. Chow,et al.  Time-Scale Modeling of Dynamic Networks with Applications to Power Systems , 1983 .

[5]  Gabriela Hug,et al.  Foundations and Challenges of Low-Inertia Systems (Invited Paper) , 2018, 2018 Power Systems Computation Conference (PSCC).

[6]  Xavier Guillaud,et al.  The Migrate project: the challenges of operating a transmission grid with only inverter-based generation. A grid-forming control improvement with transient current-limiting control , 2017 .

[7]  Babu Narayanan,et al.  POWER SYSTEM STABILITY AND CONTROL , 2015 .

[8]  Joe H. Chow,et al.  Power System Dynamics and Stability: With Synchrophasor Measurement and Power System Toolbox 2e: With Synchrophasor Measurement and Power System Toolbox , 2017 .

[9]  Brian B. Johnson,et al.  Stability assessment of a system comprising a single machine and inverter with scalable ratings , 2017, 2017 North American Power Symposium (NAPS).

[10]  Jon Are Suul,et al.  A Virtual synchronous machine implementation for distributed control of power transformers in SmartGrids , 2015 .

[11]  P. Kokotovic,et al.  An integral manifold approach to reduced order dynamic modeling of synchronous machines , 1988 .

[12]  Goran Andersson,et al.  Impact of Low Rotational Inertia on Power System Stability and Operation , 2013, 1312.6435.

[13]  Bo Wen,et al.  Analysis of Phase-Locked Loop Low-Frequency Stability in Three-Phase Grid-Connected Power Converters Considering Impedance Interactions , 2015, IEEE Transactions on Industrial Electronics.