Impact of Conductor Temperature Time–Space Variation on the Power System Operational State

Wang, Yanling; Yang, Mingwei; Wang, Mingqiang; Zhou, Xia; Liang, Likai; Zhang, Pei

doi:10.3390/en11040760

Cited by 12 publications

(7 citation statements)

References 16 publications

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“…Since the contingency happens randomly, the conductor temperature of the line l in the preventive stage Tc l,0 is conservatively assumed to equal its steady-state value. This temperature can be calculated by the steady-state heat balance equation (SHBE) [36].…”

Section: Preventive Stagementioning

confidence: 99%

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Using the Thermal Inertia of Transmission Lines for Coping with Post-Contingency Overflows

2019

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For the corrective security-constrained optimal power flow (OPF) model, there exists a post-contingency stage due to the time delay of corrective measures. Line overflows in this stage may cause cascading failures. This paper proposes that the thermal inertia of transmission lines can be used to cope with post-contingency overflows. An enhanced security-constrained OPF model is established and line dynamic thermal behaviors are quantified. The post-contingency stage is divided into a response substage and a ramping substage and the highest temperatures are limited by thermal rating constraints. A solving strategy based on Benders decomposition is proposed to solve the established model. The original problem is decomposed into a master problem for preventive control and two subproblems for corrective control feasibility check and line thermal rating check. In each iteration, Benders cuts are generated for infeasible contingencies and returned into the master problem for adjusting the generation plan. Because the highest temperature function is implicit, an equivalent time method is presented to calculate its partial derivative in Benders cuts. The proposed model and approaches are validated on three test systems. Results show that the operation security is improved with a slight increase in total generation cost.

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Section: Preventive Stagementioning

confidence: 99%

“…The dynamic thermal behavior of the line l during this system response substage can be quantified by the transient heat balance equation (THBE) [36].…”

Section: Response Substagementioning

confidence: 99%

Using the Thermal Inertia of Transmission Lines for Coping with Post-Contingency Overflows

2019

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“…Using the explicit forward Euler method (10), where y(t) and y(t − ∆t) are the values of the function y in two consequent time steps, whilst y'(t − ∆t) is the time derivative of the function at time instant t − ∆t, Equation (9) can be written in the form (11) and, further, in the recursive form (12). In (12) the index i denotes the current time step, whilst i − 1 denotes the previous time step.…”

Section: Calculation Of the Conductor Temperaturementioning

confidence: 99%

“…Thus, the main idea of this paper is to reduce the deviations between mean and maximum measured and calculated conductor temperatures, as well as heating and cooling powers, in order to improve the accuracy of predicted maximal available power line loading. This is done in the proposed DE based optimization procedure, where the measured data and conductor heating model (2) to (12) are used together in order to determine those values of parameters α 20 , r 20 , β, Nu and ε in (3) to (8), where the sum of squared differences between the time behaviours of measured and calculated conductor temperatures is minimal. The applied optimization tool, DE, is described briefly in the next section.…”

Section: Calculation Of the Conductor Temperaturementioning

confidence: 99%

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Identification of the Heat Equation Parameters for Estimation of a Bare Overhead Conductor’s Temperature by the Differential Evolution Algorithm

et al. 2018

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This paper deals with the Differential Evolution (DE) based method for identification of the heat equation parameters applied for the estimation of a bare overhead conductor`s temperature. The parameters are determined in the optimization process using a dynamic model of the conductor; the measured environmental temperature, solar radiation and wind velocity; the current and temperature measured on the tested overhead conductor; and the DE, which is applied as the optimization tool. The main task of the DE is to minimise the difference between the measured and model-calculated conductor temperatures. The conductor model is relevant and suitable for the prediction of the conductor temperature, as the agreement between measured and model-calculated conductor temperatures is exceptional, where the deviation between mean and maximum measured and model-calculated conductor temperatures is less than 0.03 °C.

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Partition dynamic threshold monitoring technology of wildfires near overhead transmission lines by satellite

Liu

Zhang

et al. 2018

Nat Hazards

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Impact of Conductor Temperature Time–Space Variation on the Power System Operational State

Cited by 12 publications

References 16 publications

Using the Thermal Inertia of Transmission Lines for Coping with Post-Contingency Overflows

Using the Thermal Inertia of Transmission Lines for Coping with Post-Contingency Overflows

Identification of the Heat Equation Parameters for Estimation of a Bare Overhead Conductor’s Temperature by the Differential Evolution Algorithm

Partition dynamic threshold monitoring technology of wildfires near overhead transmission lines by satellite

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