A Method for Evaluating Frequency Regulation in an Electrical Grid – Part I: Theory

The first part of this two-part paper proposes a technique that consists in the measurement, through phasor measurement units, of bus frequency variations to estimate the rate of change of regulated power, and in the definition of a local index that is able to discriminate between devices that modify the frequency at the connection bus and devices that do not. A taxonomy of devices based on their ability to modify locally the frequency is proposed. A byproduct of such an index is to estimate the inertia or equivalent inertia of the monitored device. The proposed index is shown to be a relevant consequence of the concept of frequency divider formula recently published by the authors on the IEEE Transactions on Power Systems. The properties of the proposed index is illustrated through examples based on the synchronous machine and its controllers.

[1]  Pratyasa Bhui,et al.  Estimation of Inherent Governor Dead-Band and Regulation Using Unscented Kalman Filter , 2018, IEEE Transactions on Power Systems.

[2]  Pengwei Du,et al.  Forecast System Inertia Condition and Its Impact to Integrate More Renewables , 2018, IEEE Transactions on Smart Grid.

[3]  Peter W. Sauer,et al.  Power System Dynamics and Stability , 1997 .

[4]  Ibrahim Abdur-Rahman,et al.  Frequency Regulation: Is Your Plant Compliant?: Introducing wind and solar into the grid highlights the importance of optimizing power plant frequency regulation capabilities , 2010 .

[5]  Mario Paolone,et al.  Iterative-Interpolated DFT for Synchrophasor Estimation: A Single Algorithm for P- and M-Class Compliant PMUs , 2018, IEEE Transactions on Instrumentation and Measurement.

[6]  Kristina Hamachi LaCommare Review of the Recent Frequency Performance of the Eastern, Western and ERCOT Interconnections , 2011 .

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

[8]  F. Milano,et al.  A Systematic Method to Model Power Systems as Stochastic Differential Algebraic Equations , 2013, IEEE Transactions on Power Systems.

[9]  Federico Milano,et al.  A python-based software tool for power system analysis , 2013, 2013 IEEE Power & Energy Society General Meeting.

[10]  Guan-Chyun Hsieh,et al.  Phase-locked loop techniques. A survey , 1996, IEEE Trans. Ind. Electron..

[11]  Mario Paolone,et al.  Enhanced Interpolated-DFT for Synchrophasor Estimation in FPGAs: Theory, Implementation, and Validation of a PMU Prototype , 2014, IEEE Transactions on Instrumentation and Measurement.

[12]  Joseph H. Eto,et al.  Use of Frequency Response Metrics to Assess the Planning and Operating Requirements for Reliable Integration of Variable Renewable Generation , 2011 .

[13]  A. Conejo,et al.  Market-clearing with stochastic security-part I: formulation , 2005, IEEE Transactions on Power Systems.

[14]  Federico Milano,et al.  Robust Frequency Divider for Power System Online Monitoring and Control , 2018, IEEE Transactions on Power Systems.

[15]  F. Milano,et al.  Construction of SDE-based wind speed models with exponentially decaying autocorrelation , 2016 .

[16]  Federico Milano,et al.  Rotor Speed-Free Estimation of the Frequency of the Center of Inertia , 2018, IEEE Transactions on Power Systems.

[17]  Federico Bizzarri,et al.  Analytic and Numerical Study of TCSC Devices: Unveiling the Crucial Role of Phase-Locked Loops , 2018, IEEE Transactions on Circuits and Systems I: Regular Papers.

[18]  Shuo Wang,et al.  Full-Capacity Wind Turbine with Inertial Support by Adjusting Phase-Locked Loop Response , 2017 .

[19]  Howard F. Illian Frequency Control Performance Measurement and Requirements , 2011 .

[20]  Federico Milano,et al.  Model-Agnostic Linear Estimation of Generator Rotor Speeds Based on Phasor Measurement Units , 2018, IEEE Transactions on Power Systems.

[21]  O. Alsaç,et al.  DC Power Flow Revisited , 2009, IEEE Transactions on Power Systems.

[22]  Claus Leth Bak,et al.  Instability of Wind Turbine Converters During Current Injection to Low Voltage Grid Faults and PLL Frequency Based Stability Solution , 2014, IEEE Transactions on Power Systems.

[23]  Federico Milano,et al.  Frequency Divider , 2017, IEEE Transactions on Power Systems.

[24]  Federico Milano,et al.  Estimation of Voltage Dependent Load Models Through Power and Frequency Measurements , 2020, IEEE Transactions on Power Systems.