대한전기학회:학술대회논문집 (Proceedings of the KIEE Conference)
- 대한전기학회 1987년도 정기총회 및 창립40주년기념 학술대회 학회본부
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- Pages.469-473
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- 1987
다변수 그램-샬리어 급수 A형을 이용한 고조파 페이서 전압의 확률적 예측 계산
Stochastic Estimation of Phasor Voltage of Harmonics Using Multivariate Gram-Charlier Type A Series
- Kim, Tae-Hyun (Seoul National University) ;
- Park, In-Gyu (Seoul National University) ;
- Park, Jong-Keun (KEPCO Research center) ;
- Kang, Young-Shuk (KEPCO Research center)
- 발행 : 1987.11.20
초록
This paper presents a method to estimate p.d.f.(probability density function) of harmonic phasor voltage. Because the quantity of harmonics is not fixed, stochastic analysis of harmonics is needed. Because it is impossible to obtain p.d.f. of voltage from p.d.f. of current directly, the moments of voltage and current are used. Firstly, the moments of current is calculated from p.d.f. of current. Secondly, the moments of voltage are calculated from the moments of current using the linearity of the moments. Finally, p.d.f. of voltage is estimated from the moments of voltage using Gram-Charlier Type A Series. [1] The moments of the p.d.f. obtained by the series and of the true p.d.f. is same up to given finite moments. Because current and voltage of harmonics are represented as not instantaneous values but phasors, the estimated value can be compared with the measured value and harmonic phasor voltage can be analyzed when the p.d.f. of phase is nonuniform as well as uniform.
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