Abstract: A method for analytically studying fault responses of an inverter-interfaced renewable energy source (IIRES). The IIRES includes a decoupled sequence control (DSC) system, and the DSC system includes a converter, a current controller, a low-voltage ride-through (LVRT) control unit, and positive and negative sequence components calculation (PNSCC) structures. The method includes: determining a detailed fault model of the IIRES; determining a unified model of the PNSCC structures; determining a simplified fault model of the IIRES in a fault detection phase; determining a simplified fault model of the IIRES in a control transient response (CTR) phase; detecting a short-circuit fault; cutting off an outer loop of the DSC system; switching the DSC system to a current control mode through the LVRT unit by the current controller; analyzing the short-circuit fault; and designing an enhanced fault-ride-through control of the IIRESs to suppress an inrush current to protect the IIRES.

Abstract: A method for protecting a power system having inverter-interfaced renewable energy sources is provided. The power system includes an inverter and a control system. The control system includes a current controller including a saturation limiter and a proportional and integral (PI) controller, a phase-locked system, and a low-voltage ride-through (LVRT) control unit. The method includes: by using a Park transformation matrix, determining an output voltage of the inverter; determining a modulated voltage of the output voltage; upon detecting a grid fault, obtaining current references by the LVRT control unit; determining a fault current in a first stage of a transient phase of the grid fault; determining a fault current in a second stage of the transient phase; determining a fault current in a third stage of the transient phase; and switching the control system to a fault control mode by tracking the fault currents in the first, second and third stages, to the current references.

Abstract: A method for analytically studying fault responses of an inverter-interfaced renewable energy source (IIRES). The IIRES includes a decoupled sequence control (DSC) system, and the DSC system includes a converter, a current controller, a low-voltage ride-through (LVRT) control unit, and positive and negative sequence components calculation (PNSCC) structures. The method includes: determining a detailed fault model of the IIRES; determining a unified model of the PNSCC structures; determining a simplified fault model of the IIRES in a fault detection phase; determining a simplified fault model of the IIRES in a control transient response (CTR) phase; detecting a short-circuit fault; cutting off an outer loop of the DSC system; switching the DSC system to a current control mode through the LVRT unit by the current controller; analyzing the short-circuit fault; and designing an enhanced fault-ride-through control of the IIRESs to suppress an inrush current to protect the IIRES.

Abstract: A method for protecting a power system having inverter-interfaced renewable energy sources is provided. The power system includes an inverter and a control system. The control system includes a current controller including a saturation limiter and a proportional and integral (PI) controller, a phase-locked system, and a low-voltage ride-through (LVRT) control unit. The method includes: by using a Park transformation matrix, determining an output voltage of the inverter; determining a modulated voltage of the output voltage; upon detecting a grid fault, obtaining current references by the LVRT control unit; determining a fault current in a first stage of a transient phase of the grid fault; determining a fault current in a second stage of the transient phase; determining a fault current in a third stage of the transient phase; and switching the control system to a fault control mode by tracking the fault currents in the first, second and third stages, to the current references.

Abstract: A method implemented in a power grid including a DFIG wind turbine is provided. The method includes: assuming the DFIG wind turbine to be operated in a MPPT mode; generating a simplified transient model of the DFIG wind turbine, the simplified transient model including an equivalent circuit model, and an equivalent rotor motion model in a nonlinear form; linearizing the equivalent rotor motion model in the nonlinear form to be an equivalent rotor motion model in a linear form with respect to a steady-state operating point of the DFIG wind turbine; and determining a first contribution and a second contribution of the DFIG wind turbines to a post-disturbance frequency of the power grid, in a center of inertia (COI) frequency frame and in a frequency spatial variation frame, respectively, by incorporating the simplified transient model of the DFIG wind turbine into a frequency dynamics analysis.

Abstract: In this disclosure, the energy management problem of the D-LEGS with FFR is analyzed, so as to enhance the frequency stability of the main grid. The post-disturbance frequency response behaviors of both the main grid and the D-IEGS are precisely depicted, where the dead zones, limiting ranges and time constant of the governors are considered. The frequency regulation units of the D-IEGS include GTs and P2G units, whose impacts of providing frequency regulation service on the gas networks are quantified. Considering the time-scale similarity of the frequency dynamics and the dynamics of the GDN, the gas flow dynamics model is adopted. The frequency response dynamics of the GTs and P2G units, and the gas flow dynamics of the GDN, a variable-step difference scheme and a binary variable reduction method are devised.

Abstract: A method for primary frequency regulation (PFR)reserve procurement of a renewable energy power system is provided. The renewable energy power system includes synchronous power sources and renewable energy sources, and the renewable energy sources participate in frequency regulation using virtual synchronous machine (VSM) control.

Abstract: A method for analytically studying fault responses of an inverter-interfaced renewable energy source (IIRES). The IIRES includes a decoupled sequence control (DSC) system, and the DSC system includes a converter, a current controller, a low-voltage ride-through (LVRT) control unit, and positive and negative sequence components calculation (PNSCC) structures. The method includes: determining a detailed fault model of the IIRES; determining a unified model of the PNSCC structures; determining a simplified fault model of the IIRES in a fault detection phase; determining a simplified fault model of the IIRES in a control transient response (CTR) phase; detecting a short-circuit fault; cutting off an outer loop of the DSC system; switching the DSC system to a current control mode through the LVRT unit by the current controller; analyzing the short-circuit fault; and designing an enhanced fault-ride-through control of the IIRESs to suppress an inrush current to protect the IIRES.

Abstract: Online estimation of area-level inertia can be used for frequency stability control in low-inertia power systems. This disclosure provides an area-level inertia online estimation method considering inter-area equivalent frequency dynamics. The disclosed method only needs one phasor measurement unit placed at any bus within each area. The inter-area equivalent frequency dynamics model for the multi-area power system is developed, which is employed to estimate area-level inertia under the small disturbance situation. Then, the area-level inertia estimation model boils down to a nonlinear parameter identification problem. The other boundary conditions of the disclosed method are derived by parameter identifiability.

Abstract: A method for protecting a power system having inverter-interfaced renewable energy sources is provided. The power system includes an inverter and a control system. The control system includes a current controller including a saturation limiter and a proportional and integral (PI) controller, a phase-locked system, and a low-voltage ride-through (LVRT)control unit. The method includes: by using a Park transformation matrix, determining an output voltage of the inverter; determining a modulated voltage of the output voltage; upon detecting a grid fault, obtaining current references by the LVRT control unit; determining a fault current in a first stage of a transient phase of the grid fault; determining a fault current in a second stage of the transient phase; determining a fault current in a third stage of the transient phase; and switching the control system to a fault control mode by tracking the fault currents in the first, second and third stages, to the current references.

Abstract: An exemplary two-step method for power system inertia online estimation is described. The first step is to accurately estimate the POI-level aggregated inertia. The second step is to calculate the system-level inertia constant by weighting all the POI-level aggregated inertia and to monitor the inertia spatial distribution. In one example embodiment, the PMU is installed at POI, the frequency spatial difference is considered, and the mechanical power is carefully treated.

Abstract: Online estimation of area-level inertia can be used for frequency stability control in low-inertia power systems. This disclosure provides an area-level inertia online estimation method considering inter-area equivalent frequency dynamics. The disclosed method only needs one phasor measurement unit placed at any bus within each area. The inter-area equivalent frequency dynamics model for the multi-area power system is developed, which is employed to estimate area-level inertia under the small disturbance situation. Then, the area-level inertia estimation model boils down to a nonlinear parameter identification problem. The other boundary conditions of the disclosed method are derived by parameter identifiability.

Abstract: In this disclosure, the energy management problem of the D-IEGS with FFR is analyzed, so as to enhance the frequency stability of the main grid. The post-disturbance frequency response behaviors of both the main grid and the D-IEGS are precisely depicted, where the dead zones, limiting ranges and time constant of the governors are considered. The frequency regulation units of the D-IEGS include GTs and P2G units, whose impacts of providing frequency regulation service on the gas networks are quantified. Considering the time-scale similarity of the frequency dynamics and the dynamics of the GDN, the gas flow dynamics model is adopted. The frequency response dynamics of the GTs and P2G units, and the gas flow dynamics of the GDN, a variable-step difference scheme and a binary variable reduction method are devised.

Abstract: A method for primary frequency regulation (PFR)reserve procurement of a renewable energy power system is provided. The renewable energy power system includes synchronous power sources and renewable energy sources, and the renewable energy sources participate in frequency regulation using virtual synchronous machine (VSM) control.

Abstract: A method implemented in a power grid including a DFIG wind turbine is provided. The method includes: assuming the DFIG wind turbine to be operated in a MPPT mode; generating a simplified transient model of the DFIG wind turbine, the simplified transient model including an equivalent circuit model, and an equivalent rotor motion model in a nonlinear form; linearizing the equivalent rotor motion model in the nonlinear form to be an equivalent rotor motion model in a linear form with respect to a steady-state operating point of the DFIG wind turbine; and determining a first contribution and a second contribution of the DFIG wind turbines to a post-disturbance frequency of the power grid, in a center of inertia (COI) frequency frame and in a frequency spatial variation frame, respectively, by incorporating the simplified transient model of the DFIG wind turbine into a frequency dynamics analysis.

Abstract: This disclosure provides a method to limit the post-disturbance node maximum RoCoF by optimizing UC decisions. The node initial RoCoF expressions under common disturbance types, including the load, the line switching, and the generator turbine disturbances, are derived. Then, the piecewise linear relationship between the node initial RoCoF and UC decision variables are obtained. To avoid numerical simulation of the node maximum RoCoF, two analytical constraints, i.e., the node initial RoCoF constraint and the COI maximum RoCoF constraint, are formulated in the UC model.

Abstract: This disclosure provides a method to limit the post-disturbance node maximum RoCoF by optimizing UC decisions. The node initial RoCoF expressions under common disturbance types, including the load, the line switching, and the generator turbine disturbances, are derived. Then, the piecewise linear relationship between the node initial RoCoF and UC decision variables are obtained. To avoid numerical simulation of the node maximum RoCoF, two analytical constraints, i.e., the node initial RoCoF constraint and the COI maximum RoCoF constraint, are formulated in the UC model.

Abstract: An exemplary two-step method for power system inertia online estimation is described. The first step is to accurately estimate the POI-level aggregated inertia. The second step is to calculate the system-level inertia constant by weighting all the POI-level aggregated inertia and to monitor the inertia spatial distribution. In one example embodiment, the PMU is installed at POI, the frequency spatial difference is considered, and the mechanical power is carefully treated.

Abstract: A resampling method based on window function for flexible sampling rate conversion in broadband frequency measurement devices is described. The resampling algorithm can satisfy the requirements of different sampling rates. The frequency responses of the filter in the resampling model based on the Farrow structure are analyzed, and the design criterion of the filter in resampling model is considered. A fractional delay filter design model based on window function method is described. A fractional delay filter matrix, which is expressed by polynomial form, is constructed. Then the expression related to subfilter coefficients is obtained and subfilter coefficients are solved for by the least square method.

Abstract: A synchrophasor measurement-based disturbance identification method is described considering different penetration levels of renewable energy. A differential Teager-Kaiser energy operator (dTKEO)-based algorithm is first utilized to improve multiple-disturbances detection accuracy. Then, feature extractions via the integrated additive angular margin (AAM) loss and the long short-term memory (LSTM) network is described. This enables one to deal with intra-class similarity and inter-class variance of disturbances when high penetration renewable energy occurs. With the extracted features, a multi-stage weighted summing (MSWS) loss-based criterion is described for adaptive data window determination and fast disturbance pre-classification. Finally, the re-identification model based on feature similarity is established to identify unknown disturbances, a challenge for existing machine learning algorithms.