Allocation of Wind Capacity Subject to Long Term Voltage Stability Constraints

Bakhtvar, Mostafa; Keane, Andrew

doi:10.1109/tpwrs.2015.2454852

Cited by 20 publications

(6 citation statements)

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“…To demonstrate the effectiveness of the proposed voltage stability index, a wellknown stability index, namely load margin, is introduced here to characterize the stability level. The model for load margin is consistent with (6) and the details can be found in [23]. The load margins for the day-ahead and intra-day scenarios are calculated where the dayahead scheme is employed here, as shown in Figure 13.…”

Section: Effectiveness Of the Proposed Voltage Stability Indexmentioning

confidence: 96%

“…In order to guarantee voltage stability, it is necessary to ensure a secure distance between the current operating point and the loadability point. The loadability point is obtained by the following optimization problem which is in line with the approaches proposed in [6,23,26,31]: max…”

Section: Voltage Stability Constraintmentioning

confidence: 99%

“…The optimal operation of ADNs generally takes benefit and cost as the objective function. To consider the voltage stability, the loadability point is required and usually obtained by solving model (6), resulting in a complex bi-level problem. An intuitive way to reformulate the model is to adopt the KKT conditions [35], and it results that the loadability point corresponds to the power flow Jacobi matrix J h (y), as given in (7), being singular, i.e., |J h (y)| = 0.…”

Section: Voltage Stability Constraintmentioning

confidence: 99%

“…The loadability point on the P-V curve corresponds to the nose point or the voltage collapse point. This contributes to an index, namely the load margin [4] (or voltage stability margin [5] or loadability margin [6]), defined as the distance between the current operating point and the loadability point along the power factor direction. An alternative option is based on the eigenvalue and the singular value of the power flow Jacobian.…”

Section: Introductionmentioning

confidence: 99%

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Multi-Time-Scale Optimal Scheduling in Active Distribution Network with Voltage Stability Constraints

2021

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The uncertainty associated with loads and renewable-energy sources affects active distribution networks in terms of the operation and voltage stability on different time scales. To address this problem, a multi-time-scale voltage stability constrained optimal scheduling framework is proposed, which includes a day-ahead model with a coarse-grained time resolution and an intra-day model with a fine-grained time resolution. The day-ahead economic-scheduling model maps out a scheme to operate different types of devices with the aim of minimizing the network losses. Following the scheme, the intra-day corrective-adjustment model based on model predictive control is proposed to regulate the flexible devices, such as the energy storage systems and the photovoltaic converters. In particular, the proposed optimal scheduling framework embeds a voltage stability constraint which is constructed by using a novel index, defined based on the Distflow model Jacobian. As the index at each bus is a linear function of the locally measurable power flow variables, the proposed constraint does not introduce additional computational burdens. Simulation results demonstrate the necessity and effectiveness of the proposed multi-time-scale voltage stability constrained optimal scheduling model. The results also show that the variation trend of the proposed index is consistent with that of the commonly used voltage stability index.

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Section: Effectiveness Of the Proposed Voltage Stability Indexmentioning

confidence: 96%

Section: Voltage Stability Constraintmentioning

confidence: 99%

Section: Voltage Stability Constraintmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multi-Time-Scale Optimal Scheduling in Active Distribution Network with Voltage Stability Constraints

2021

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“…Both single phase [13] and 3-phase AC OPF [14] have been proposed to study various aspects of transmission and distribution networks [15], [16]. While single phase OPF is often sufficient for studies carried out on balanced networks, studying LV distribution feeders entails 3-phase unbalanced models.…”

Section: -Phase Optimal Power Flowmentioning

confidence: 99%