### Abstract

The relevance of the research of non-sinusoidal modes in distributed network consists in gathering full information about the efficiency of electric energy transportation. Prediction of voltage quality indices and electrical energy losses in network units should provide losses level minimization and trend to improve quality. The main aim of the research is to study the correlations and statistical distributions of higher harmonics of nodal voltages/currents in 110 kV distributed networks, to determine smoothing functions for calculating Stochastic mode of networks. The methods of the research. The authors have used the software implemented in Fortran programming to simulate the non-sinusoidal modes of distributed networks. The data for calculation were obtained during energy survey of Interregional Distribution Grid Company of Siberia, namely such branches as: «Altaienergo», «Buriatenergo» and «Krasenergo». The required data were collected by using portable power analyzer AR-5 «Circutor». Voltage and current oscillograms, consisting of 128 point, were expanded in the Fourier series. The authors analyzed the correlation dependences of fundamental harmonic and higher harmonics of voltage and current. Smoothing of statistical distributions and obtaining their analytical dependencies were achieved using probability distribution in a series based on the Gauss distribution. The results. The authors determined the statistical properties of higher harmonics distributions in nodal voltages/currents and studied the statistical distributions of higher harmonics modules in nodal voltages/currents, which allowed determining uniand multimodal dependencies of statistical distribution and smoothing quality.

Original language | English |
---|---|

Pages (from-to) | 95-102 |

Number of pages | 8 |

Journal | Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering |

Volume | 327 |

Issue number | 3 |

Publication status | Published - 2016 |

### Fingerprint

### Keywords

- Asymmetric
- Higher harmonics of current and voltage
- Modes of electrical networks
- Non-sinusoidal
- Statistical distributions

### ASJC Scopus subject areas

- Economic Geology
- Geotechnical Engineering and Engineering Geology
- Fuel Technology
- Management, Monitoring, Policy and Law
- Waste Management and Disposal
- Materials Science (miscellaneous)

### Cite this

*Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering*,

*327*(3), 95-102.

**The problem of simulation of non-sinusoidal modes in distributed networks.** / Kharlov, Nikolay N.; Ushakov, Vasiliy Ya; Tarasov, Yevgeniy V.; Bulyga, Leonid L.

Research output: Contribution to journal › Article

*Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering*, vol. 327, no. 3, pp. 95-102.

}

TY - JOUR

T1 - The problem of simulation of non-sinusoidal modes in distributed networks

AU - Kharlov, Nikolay N.

AU - Ushakov, Vasiliy Ya

AU - Tarasov, Yevgeniy V.

AU - Bulyga, Leonid L.

PY - 2016

Y1 - 2016

N2 - The relevance of the research of non-sinusoidal modes in distributed network consists in gathering full information about the efficiency of electric energy transportation. Prediction of voltage quality indices and electrical energy losses in network units should provide losses level minimization and trend to improve quality. The main aim of the research is to study the correlations and statistical distributions of higher harmonics of nodal voltages/currents in 110 kV distributed networks, to determine smoothing functions for calculating Stochastic mode of networks. The methods of the research. The authors have used the software implemented in Fortran programming to simulate the non-sinusoidal modes of distributed networks. The data for calculation were obtained during energy survey of Interregional Distribution Grid Company of Siberia, namely such branches as: «Altaienergo», «Buriatenergo» and «Krasenergo». The required data were collected by using portable power analyzer AR-5 «Circutor». Voltage and current oscillograms, consisting of 128 point, were expanded in the Fourier series. The authors analyzed the correlation dependences of fundamental harmonic and higher harmonics of voltage and current. Smoothing of statistical distributions and obtaining their analytical dependencies were achieved using probability distribution in a series based on the Gauss distribution. The results. The authors determined the statistical properties of higher harmonics distributions in nodal voltages/currents and studied the statistical distributions of higher harmonics modules in nodal voltages/currents, which allowed determining uniand multimodal dependencies of statistical distribution and smoothing quality.

AB - The relevance of the research of non-sinusoidal modes in distributed network consists in gathering full information about the efficiency of electric energy transportation. Prediction of voltage quality indices and electrical energy losses in network units should provide losses level minimization and trend to improve quality. The main aim of the research is to study the correlations and statistical distributions of higher harmonics of nodal voltages/currents in 110 kV distributed networks, to determine smoothing functions for calculating Stochastic mode of networks. The methods of the research. The authors have used the software implemented in Fortran programming to simulate the non-sinusoidal modes of distributed networks. The data for calculation were obtained during energy survey of Interregional Distribution Grid Company of Siberia, namely such branches as: «Altaienergo», «Buriatenergo» and «Krasenergo». The required data were collected by using portable power analyzer AR-5 «Circutor». Voltage and current oscillograms, consisting of 128 point, were expanded in the Fourier series. The authors analyzed the correlation dependences of fundamental harmonic and higher harmonics of voltage and current. Smoothing of statistical distributions and obtaining their analytical dependencies were achieved using probability distribution in a series based on the Gauss distribution. The results. The authors determined the statistical properties of higher harmonics distributions in nodal voltages/currents and studied the statistical distributions of higher harmonics modules in nodal voltages/currents, which allowed determining uniand multimodal dependencies of statistical distribution and smoothing quality.

KW - Asymmetric

KW - Higher harmonics of current and voltage

KW - Modes of electrical networks

KW - Non-sinusoidal

KW - Statistical distributions

UR - http://www.scopus.com/inward/record.url?scp=85019439581&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85019439581&partnerID=8YFLogxK

M3 - Article

VL - 327

SP - 95

EP - 102

JO - Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering

JF - Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering

SN - 2500-1019

IS - 3

ER -