• Title/Summary/Keyword: Phasor estimation

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Phasor Estimation Algorithm Based on the Least Square Technique during CT Saturation

  • Lee, Dong-Gyu;Kang, Sang-Hee;Nam, Soon-Ryul
    • Journal of Electrical Engineering and Technology
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    • v.6 no.4
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    • pp.459-465
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    • 2011
  • A phasor estimation algorithm based on the least square curve fitting technique for the distorted secondary current due to current transformer (CT) saturation is proposed. The mathematical form of the secondary current during CT saturation is represented as the scaled primary current with magnetizing current. The information on the scaled primary current is estimated using the least square technique, with the measured secondary current in the saturated section. The proposed method can estimate the phasor of a fundamental frequency component during the saturated period. The performance of the algorithm is validated under various fault and CT conditions using a C400 CT model. A series of performance evaluations shows that the proposed phasor estimation algorithm can estimate the phasor of the fundamental frequency component with high accuracy, regardless of fault conditions and CT characteristics.

High Frequency Noise Reduction Method Using a Newly Designed Low-pass Filter in DFT-Based Phasor Estimation (DFT 기반 페이저 연산 시 새로운 저역통과필터를 이용한 고주파 노이즈 경감 방법)

  • Baek, Min-Woo;Kang, Sang-Hee
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.6
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    • pp.898-904
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    • 2017
  • DFT(Discrete Fourier Transform) is one of the most widely used method to estimate the phasor of a relaying signal. The harmonics are eliminated by the DFT. However, high frequency components, except for harmonics, are not removed and cause an error in DFT-based phasor estimation process. This paper suggests high frequency noise reduction method by using a newly designed low-pass filter to estimate a signal phasor. When selecting a stop-band cut-off frequency of the low-pass filter, high frequency components generated by faults are considered. To reduce the phasor estimation delay caused by a low-pass filter, this paper proposes a low-pass filter whose settling time is reduced. An adverse effect of high frequency noise on DFT-based phasor estimation is reduced. To evaluate the performance of the proposed method, signals which are collected under a fault condition at a 345[kV] transmission system modeled by EMTP-RV are used.

Frequency - Adaptive Phasor Estimation Method Based on Fourier Transform (퓨리에 변환 기반 주파수 적응형 Phasor 연산 기법)

  • Kim, Su-Hwan;Choi, Chang-Young;Hur, Min;Ji, Sung-Yong;Kang, Sang-Hee
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.197-198
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    • 2008
  • Even if the DFT calculation is one of the general method to do phasor estimation, it can't adapt to alteration of the frequency. The Frequency is fastened to 60Hz in the ideal power system. However the frequency is not constant in real power system and fluctuates more followed by conditions of the power system. In these cases, the accurate phasor estimation is impossible by using a common DFT calculation, so that a frequency - adaptive phasor estimation method based on the fourier transform is proposed in this paper.

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Observability Analysis for Phasor Measurement Unit Placement (PMU 설치에 따른 가관측성 해석)

  • Kang, Suk-Joo;Cho, Ki-Seon;Kim, Hoi-Cheol;Shin, Joong-Rin
    • Proceedings of the KIEE Conference
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    • 1999.07c
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    • pp.1049-1053
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    • 1999
  • It is important to measuring and monitoring about state vectors of power system for precise operation control. All state vectors cannot be measured because it is economically disadvantageous, so that some state vectors are determined using state estimator. Determination of observability is a important precondition of power system state estimation because state estimation can be performed when given power system is observable. Recently as time-synchronization technique progress, using the PMU(Phasor Measurement Unit), state vector can be measured directly so that voltage phasor and current phasor measurements can be used for power system estimation. In this paper, observability algorithm is proposed to determinate the observability with real/reactive injection power measurements and real/reactive lineflow power measurements of existing measurement system and with phasor measurements of PMU. The jacobian matrix is newly composed for state estimation with measurements of added PMU, and state estimation is performed with least square estimatior. Comparison between state estimation result of existing measurement system and that of measurement system added PMU is presented.

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Real-Time Monitoring and Analysis of Power Systems with Synchronized Phasor Measurements

  • Kim, Hong-Rae
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.21 no.9
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    • pp.101-108
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    • 2007
  • State estimators are used to monitor the operating states of power systems in modern EMS. It iteratively calculates the voltage profile of the currently operating power system with voltage, current, and power measurements gathered from the entire system. All the measurements are usually assumed to be obtained simultaneously. It is practically impossible, however, to maintain the synchronism of the measurement data. Recently, phasor measurements synchronized via satellite are used for the operation of these power systems. This paper describes the modified state estimator used to support the processing of synchronized phasor measurements. Synchronized phasor measurements are found to provide synchronism of measurement data and improve the accuracy/redundancy of the measurement data for state estimation. The details of the developed state estimation program and some numerical results of operation are presented.

Electric Power System State Estimation with Time Synchronized Phasor Measurement Data (시각동기 위상측정데이터를 이용한 전력계통 상태추정)

  • Kwon, Hyung-Seok;Jang, Han-Sung;Kim, Hong-Rae
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.55 no.9
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    • pp.359-364
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    • 2006
  • In modern EMS, state estimation is used as a tool for monitoring how the power system operates. A state estimator iteratively calculates the voltage profile of the currently operating power system with voltage, current, and power measurements gathered from the entire system. It is usually assumed that all the measurements are obtained simultaneously. It, however, is not practically possible to maintain the synchronism of the measurements data. Recently, phasor measurements synchronized by satellites are used for the operation of the power systems. This paper describes the state estimator modified to support the processing of synchronized phasor measurements. Synchronized phasor measurements are found to provide synchronism of measurement data and improve the nccuracy/redundancy of the results of running it are presented.

Distance Relaying Algorithm Using a DFT-based Modified Phasor Estimation Method (DFT 기반의 개선된 페이저 연산 기법을 적용한 거리계전 알고리즘)

  • Lee, Dong-Gyu;Kang, Sang-Hee
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.8
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    • pp.1360-1365
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    • 2010
  • In this paper, we propose a distance relaying algorithm using a Discrete Fourier Transform (DFT)-based modified phasor estimation method to eliminate the adverse influence of exponentially decaying DC offsets. Most distance relays are based on estimating phasors of the voltage and current signals. A DFT is generally used to calculate the phasor of the fundamental frequency component in digital protective relays. However, the output of the DFT contains an error due to exponentially decaying DC offsets. For this reason, distance relays have a tendency to over-reach or under-reach in the presence of DC offset components in a fault current. Therefore, the decaying DC components should be taken into consideration when calculating the phasor of the fundamental frequency component of a relaying signal. The error due to DC offsets in a DFT is calculated and eliminated using the outputs of an even-sample-set DFT and an odd-sample-set DFT, so that the phasor of the fundamental component can be accurately estimated. The performance of the proposed algorithm is evaluated for a-phase to ground faults on a 345 kV, 50 km, simple overhead transmission line. The Electromagnetic Transient Program (EMTP) is used to generate fault signals. The evaluation results indicate that adopting the proposed algorithm in distance relays can effectively suppress the adverse influence of DC offsets.

A Comparative Study of Frequency Estimation Techniques using High Speed FIR Filter and Phasor Angle between Two Phasors (고속 FIR 필터와 두 페이저 위상을 이용한 주파수 추정 알고리즘의 비교 연구)

  • Park, Chul-Won
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.58 no.2
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    • pp.122-129
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    • 2009
  • Frequency is an important operating parameter of a power system. It is essential that the frequency of a power system be maintained very close to its nominal frequency. And frequency measurement devices have need to measure a fast and accurate of frequency using voltage signals. This paper proposes a comparative study of frequency estimation techniques using the high speed FIR filter based algorithm, the DFT filter based algorithm using phasor angle between two phasors, and positive sequence component based algorithm using the half angle between two successive positions of phasor. The discussed three techniques have been formed through numerical manipulation of a discrete system. The proposed techniques have been tested using signals obtained from selected power system model using ATP simulation package. Some test results are shown in this paper.

Estimation of Power System Parameters using Synchronized Phaser Measurements (동기 페이저 측정치를 이용한 전력계통 매개변수 추정)

  • Song, Shi-Cheol;Cho, Ki-Seon;Shin, Joong-Rin
    • Proceedings of the KIEE Conference
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    • 2000.07a
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    • pp.80-84
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    • 2000
  • Network parameters in power systems are indispensable for all of power system engineering studies, including the power flow calculation and the state estimation. The network parameters required for the studios, in general, are estimated by using several estimation techniques, since it Is very difficult to measure. To improve the estimation accuracy of the network parameters, this paper adopt the synchronized phasor measurements which are acquired from the Phasor Measurement Unit with built-in GPS receiver. In this paper, the parameter estimation problem is formulated with over-determined nonlinear measurement equations and solved with Newton-Raphson method and pseudo-inverse. The effectiveness of the proposed parameter estimation with the synchronized phasor measurements is verified through some case studies with IEEE sample system. The results are very promising.

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Estimation of Fault Location on Transmission Lines using Current Phasor (전류 페이저를 이용한 송전선로 고장점 추정 알고리즘)

  • Yeo, Sang-Min;Kim, Chul-Hwan
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.11
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    • pp.2095-2100
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    • 2009
  • Since most of the Extra High Voltage (EHV) transmission lines are untransposed and multi-circuits, errors are occurred inevitably because of the unbalanced impedances of the lines and so on. Therefore, a distance relaying algorithm applicable to the untransposed multi-circuits transmission lines needs to be developed. The proposed algorithm of fault location estimation in the paper uses the fundamental phasor to reduce the effects of the harmonics. This algorithm also analyzes the second-order difference of the phasor to calculate the traveling times of waves generated by faults. The traveling time of the waves generated by faults is derived from the second-order difference of the phasor. Finally, the distance from the relaying point to the faults is estimated using the traveling times. To analyze the performance of the algorithm, a power system with the EHV untransposed double-circuit transmission lines are modeled and simulated under various fault conditions such as several fault types, fault locations, fault inception angles and fault resistances. The results of the simulations show that the proposed algorithm has the capability to estimate the fault locations quickly and accurately.