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model, and low‐voltage power logic [2].

      The system frequency response is examined in terms of three metrics: (i) ROCOF which reflects the inertia response; (ii) frequency nadir which is determined by both inertia and PFR; and (iii) settling frequency which represents the PFR of the system.

      Three severe contingencies are considered as follows:

      1 Largest N‐2 contingency involving loss of two largest generators in the Palo Verde nuclear plant, equivalent to a loss of 2525 MW capacity.

      2 Typical N‐2 contingency involving loss of two largest generators in the Colstrip coal power plant, representing a loss of 1514 MW capacity.

      3 Typical N‐1 contingency involving loss of one large generator in the Comanche power plant, indicative of a loss of 904 MW capacity.

Schematic illustration of system equivalent inertia at different PV penetration levels.

      Source: Modified from Tan et al. [2].

Schematic illustration of WECC frequency response under high PV penetration scenarios: (a) 2625 MW generation loss, (b) 1514 MW generation loss.

      Source: Tan et al. [2].

      1.2.18.2 Over Frequency Response

      Systems with low inertia (e.g. 100 GWs) experience a higher “zenith” (peak frequency) subsequent to loss of a large load, than systems with higher inertia. The ROCOF is positive for all systems but higher for low inertia systems.

      Overfrequency events have the following features [11]:

      1 Lesser risk of system collapse as compared to underfrequency events.

      2 Synchronous generators may provide an unexpected response due to sudden rise in frequency and may disconnect in some cases. Still, there is a low risk of cascaded loss of generation.

      3 Less likelihood of disconnection of domestic loads.

      Since there are no substantial adverse impacts on the system by overfrequency events, system operators are generally less concerned about these events. Overfrequency events are typically alleviated by reduction in power output from synchronous generators or IBRs.

      1.2.19 Angular Stability Issues due to Reduced Inertia

Schematic illustration of typical behavior of power systems with different levels of stored kinetic energy during an overfrequency event.

      Source: Reprinted with permission from EPRI [11].

      An example study of reduced damping due to high penetration of solar PV systems is presented in [87]. Eigenvalue analysis and transient stability studies are performed on a test system representing the entire Western Electricity Coordinating Council (WECC) network ranging from 34.5 to 500 kV. The synchronous generators are modeled with excitation systems, PSS, and governors. Solar PV systems comprising both rooftop systems and utility‐scale plants are added in a region with a high potential of their growth. The utility‐scale PV systems are fixed at 600 MW while the amount of rooftop PV systems are varied to achieve different PV penetration scenarios.

      The percent PV penetration is considered to be the ratio of total PV generation to total system generation. The solar PV penetration is increased by displacing conventional generators while still keeping critical generators providing reactive power support in service. To maintain the generation–load balance, the outputs of the critical generators are reduced to accommodate the increased penetration of solar PV systems. The rooftop PV systems are modeled with unity power factor while the utility‐scale solar PV systems are represented by full converter model and having reactive power based voltage

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