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This paper presents an evaluation and performance comparison of two estimating algorithms used for frequency-relaying applications. The first algorithm is based on least squares (LS) error estimation, while the second is based on the least absolute value (LAV) approximations. Two models for frequency estimation, namely the constant-frequency model (CFM) and the variable-frequency model (VFM), are used. CFM is used to measure the steady-state frequency deviation, while VFM is used to measure the transient frequency and its rate of change. For the constant-frequency model, which is suitable for use in microprocessor-based relays, the algorithms are tested using two data sets. The first involves a pure sine waveform, and the second is a wave generated from the electromagnetic transients program (EMTP) simulating a study system. The EMTP is used to generate the corresponding voltage samples at a relay location. Fault conditions applied on the study system to generate distorted waves with and without frequency deviations are considered. For the variable-frequency model, the algorithms are tested using a data set generated from a pure sine waveform. The effects of sampling rate, sample window size and bad data on the performance of each algorithm are studied. A comparison of the results is offered to evaluate the two techniques. Cet article propose une Evaluation et une comparaison des performances de deux algorithmes d'estimation employes pour des applications a relais de frequence. Le premier algorithme est bas6 sur 1'estimation d'erreur des moindres carres, alors que le second algorithme emploie les approximations de la moindre valeur absolue. Deux modeles pour 1'estimation de frequence, soit le modele a frequence constante (MFC) et le modele a frequence variable (MFV), sont employes. Le MFC sert pour mesurer la deviation de la frequence en regime permanent, alors que le MFV permet de mesurer les frequencestransitoires ainsi que leur taux de variation. Dans le cas du modele a frequence constante, qui est adaptable a des systemes de relais a micro-processeurs, les algorithmes sont tester avec deux ensembles de donnees. Le premier ensemble est en fait une onde sinusoidale pure et le second est un signal produit par le programme EMTP qui simule le systeme 6tudie\ Le programme EMTP produit les Schantillons de tension a la localisation meme d'un relais. L'occurrence de pannes dans le systeme, pannes qui peuvent engendrer des ondes avec et sans deviation de frequence, est considered. Pour le modele a frequence variable, les algorithmes sont tested en employant des ensembles de donnees purement sinusoidaux. Les effets du taux d'lchantillonnage, de la taille de la fenetre et de donnles erron6es sur la performance de chaque algorithme sont 6tudi6s. Une comparaison des rSsultats est presented pour ^valuer les deux techniques.
This paper presents an evaluation and performance comparison of two estimating algorithms used for frequency-relaying applications. The first algorithm is based on least squares (LS) error estimation, while the second is based on the least absolute value (LAV) approximations. Two models for frequency estimation, namely the constant-frequency model (CFM) and the variable-frequency model (VFM), are used. CFM is used to measure the steady-state frequency deviation, while VFM is used to measure the transient frequency and its rate of change. For the constant-frequency model, which is suitable for use in microprocessor-based relays, the algorithms are tested using two data sets. The first involves a pure sine waveform, and the second is a wave generated from the electromagnetic transients program (EMTP) simulating a study system. The EMTP is used to generate the corresponding voltage samples at a relay location. Fault conditions applied on the study system to generate distorted waves with and without frequency deviations are considered. For the variable-frequency model, the algorithms are tested using a data set generated from a pure sine waveform. The effects of sampling rate, sample window size and bad data on the performance of each algorithm are studied. A comparison of the results is offered to evaluate the two techniques. Cet article propose une Evaluation et une comparaison des performances de deux algorithmes d'estimation employes pour des applications a relais de frequence. Le premier algorithme est bas6 sur 1'estimation d'erreur des moindres carres, alors que le second algorithme emploie les approximations de la moindre valeur absolue. Deux modeles pour 1'estimation de frequence, soit le modele a frequence constante (MFC) et le modele a frequence variable (MFV), sont employes. Le MFC sert pour mesurer la deviation de la frequence en regime permanent, alors que le MFV permet de mesurer les frequencestransitoires ainsi que leur taux de variation. Dans le cas du modele a frequence constante, qui est adaptable a des systemes de relais a micro-processeurs, les algorithmes sont tester avec deux ensembles de donnees. Le premier ensemble est en fait une onde sinusoidale pure et le second est un signal produit par le programme EMTP qui simule le systeme 6tudie\ Le programme EMTP produit les Schantillons de tension a la localisation meme d'un relais. L'occurrence de pannes dans le systeme, pannes qui peuvent engendrer des ondes avec et sans deviation de frequence, est considered. Pour le modele a frequence variable, les algorithmes sont tested en employant des ensembles de donnees purement sinusoidaux. Les effets du taux d'lchantillonnage, de la taille de la fenetre et de donnles erron6es sur la performance de chaque algorithme sont 6tudi6s. Une comparaison des rSsultats est presented pour ^valuer les deux techniques.
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