Risk constrained short-term scheduling with dynamic line ratings for increased penetration of wind power

Abstract

a b s t r a c tLimited transmission capacity may lead to network congestion which results in wind curtailment during periods of high availability of wind. Conventional congestion management techniques usually involve generation management which may not always benefit large wind farms. This paper investigates the problem in detail and presents an improved methodology to quantify the latent scheduling capacity of a power system taking into account stochastic variation in line-thermal rating, intermittency of wind, and mitigating the risk of network congestion associated with high penetration of wind. The mathematical model converts conventional thermal constraints to dynamic constraints by using a discretized stochastic penalty function with quadratic approximation of constraint relaxation risk. The uniqueness of the approach is that it can limit the generation to be curtailed or re-dispatch by dynamically enhancing the network latent capacity as per the need. The approach is aimed at strategic planning of power systems in the context of power systems with short to medium length lines with a priori known unit commitment decisions and uses stochastic optimization with a two stage recourse action. Results suggest that a considerable level of wind penetration is possible with dynamic line ratings, without adversely affecting the risk of network congestion.

Extreme Quantiles Dynamic Line Rating Forecasts and Application on Network Operation

“…The bi-level stochastic optimisation problem is described in Equations (6)- (10), where: with f is represented the objective function and with g the constraints of the optimal power flow. Capital letters (F, G) indicate the leader problem, an optimal power flow where the risk associated with wrong forecasts and reserve activation is considered into the optimisation function and where different values of the DLR are tested.…”

“…It is also stated that day ahead forecasts are necessary to take full advantage of this technology. Finally, in [10] the application of DLR to system scheduling with high penetration of wind shows that network congestions are avoided.…”

A Comprehensive Overview of Dynamic Line Rating Combined with Other Flexibility Options from an Operational Point of View

“…There is also a group of studies conducted by a Banerjee et al in [50][51][52][53][54][55][56] aiming to enhance the wind power integration and improve power system operation during wind power integration for transmission level either from a deterministic, probabilistic or stochastic point of view. In [50], the objective of the stochastic optimization problem was to minimize a combined cost function composed of conventional generation costs, wind and reserve costs, DLR-based temporary line capacity relaxation cost and congestion cost components.…”

Dynamic rating of overhead transmission lines over complex terrain using a large-eddy simulation paradigm

“…Short-term wind forecasting can potentially be a valuable tool for TSPs, enabling conductor temperature calculations at dense intervals along transmission lines in complex terrain. Michiorri et al [21] could be used to quantify the stochastic variations in line ratings, which could then be converted to dynamic constraints as described by Banerjee et al [27].…”