Modelling of space weather effects on pipelines

The interaction between the solar wind and the Earth's magnetic field produces time varying currents in the ionosphere and magnetosphere. The currents cause variations of the geomagnetic field at the surface of the earth and induce an electric field which drives currents in oil and gas pipelines and other long conductors. Geomagnetically induced currents (GIC) interfere with electrical surveys of pipelines and possibly contribute to pipeline corrosion.In this paper, we introduce a general method which can be used to determine voltage and current profiles for buried pipelines, when the external geoelectric field and the geometry and electromagnetic properties of the pipeline are known. The method is based on the analogy between pipelines and transmission lines, which makes it possible to use the distributed source transmission line (DSTL) theory. The general equations derived for the current and voltage profiles are applied in special cases. A particular attention is paid to the Finnish natural gas pipeline network.This paper, related to a project about GIC in the Finnish pipeline, thus provides a tool for understanding space weather effects on pipelines. Combined with methods of calculating the geoelectric field during magnetic storms, the results are applicable to forecasting of geomagnetically induced currents and voltages on pipelines in the future.     

Assessment of Geomagnetic Hazard to Power Systems in Canada

This paper presents an assessment ofgeomagnetic hazard on the five largest power systemsin Canada. From east to west these are: Nova ScotiaPower, Hydro-Quebec, Ontario Hydro West System, Manitoba Hydro, and the northern B.C. Hydro system. The aim of this study was to determine howfrequently, and where in a system, largegeomagnetically induced currents (GIC) could beexpected. To do this, an analysis was made of thespectral characteristics of the magnetic fieldvariations that cause GIC, and a review was made ofpublished magnetotelluric soundings in order todetermine conductivity models for different parts ofthe country. The magnetic field spectra and theconductivity information were then used to determinethe electric fields produced during geomagneticdisturbances. A relation was determined betweenelectric field magnitudes and the magnetic activityindex, Kp so that statistics for Kp could be used todetermine the occurrence rates of large electricfields. Power system models were used to determinethe GIC produced by the `1-year' and `10-year'electric fields experienced by each power system.     

The complex-image method for calculating the magnetic and electric fields produced at the surface of the Earth by the auroral electrojet

For studying the auroral electrojet and for examining the effects it can produce in power systems on the ground, it is useful to be able to calculate the magnetic and electric fields that the electrojet produces at the surface of the Earth. Including the effects of currents induced in the Earth leads to a set of integral expressions, the numerical computation of which is complicated and demanding of computer resources. An approximate solution can be achieved by representing the induced currents by an image current at a complex depth. We present a simple derivation of the complex-image expressions and use them to calculate the fields produced by the auroral electrojet at the surface of an earth represented by layered conductivity models. Comparison of these results with ones obtained using the exact integral solution show that the errors introduced are insignificant compared to the uncertainties in the parameters used. The complex-image method thus provides a simple, fast and accurate means of calculating the magnetic and electric fields.     

Delivery of Space Weather Information in Collaboration with the International Space Environment Service (ISES)

Studying space weather is an excellent subject for getting people interested in space science in general; therefore, it is being included as part of the education and public outreach activities being organized during the International Heliophysical Year (IHY). The general public find the subject interesting because variation in the space environment, i.e., space weather, can be related to their daily lives. The international organization concerned with space weather is called the International Space Environment Service (ISES). This organization is composed of the World Warning Agency (WWA) and 11 Regional Warning Centers (RWCs). The WWA and RWCs collect, collate, and disseminate space weather information on a regular basis. This report contains history and activities of the ISES.     

Solar Magnetic Activity and Total Irradiance Since the Maunder Minimum

We develop a model for estimating solar total irradiance since 1600 AD using the sunspot number record as input, since this is the only intrinsic record of solar activity extending back far enough in time. Sunspot number is strongly correlated, albeit nonlinearly with the 10.7-cm radio flux (F _10.7), which forms a continuous record back to 1947. This enables the nonlinear relationship to be estimated with usable accuracy and shows that relationship to be consistent over multiple solar activity cycles. From the sunspot number record we estimate F _10.7 values back to 1600 AD. F _10.7 is linearly correlated with the total amount of magnetic flux in active regions, and we use it as input to a simple cascade model for the other magnetic flux components. The irradiance record is estimated by using these magnetic flux components plus a very rudimentary model for the modulation of energy flow to the photosphere by the subphotospheric magnetic flux reservoir feeding the photospheric magnetic structures. Including a Monte Carlo analysis of the consequences of measurement and fitting errors, the model indicates the mean irradiance during the Maunder Minimum was about 1 ± 0.4 W m⁻² lower than the mean irradiance over the last solar activity cycle.     

Electric field at the seafloor due to a two-dimensional ionospheric current

The relation between the seafloor electric field and the surface magnetic field is studied. It is assumed that the fields are created by a 2-D ionospheric current distribution resulting in the E-polarization. The layered earth below the sea water is characterized by a surface impedance. The electric field at the seafloor can be expressed either as an inverse Fourier transform integral over the wavenumber or as a spatial convolution integral. In both integrals the surface magnetic field is multiplied by a function that depends on the depth and conductivity of the sea water and on the properties of the basement. The fact that surface magnetic data are usually available on land, not at the sea surface, is also considered. Test computations demonstrate that the numerical inaccuracies involved in the convolution method are negligible. The theoretical equations are applied to calculate the seafloor electric fields due to an ionospheric line current or associated with real magnetic data collected by the IMAGE magnetometer array in northern Europe. Two different sea depths are considered: 100 m (the continental shelf) and 5 km (the deep ocean). It is seen that the dependence of the electric field on the oscillation period is weaker in the 5 km case than for 100 m.     

The relation between magnetic range values and spectral power

Spectral power is shown to be proportional to the square of the range for variables with a normal distribution. Plots of log power versus log range for 3  hr intervals of data from Canadian magnetic observatories show a close fit to a straight line with a slope of 2. The same results are obtained from all sites in the Canadian magnetic observatory network, which extends from the polar cap to auroral and sub-auroral latitudes. This indicates that a square-law relation between spectral power and range is a general property of magnetic field variations.     

Magnetic and Electric Fields Produced in the Sea During Geomagnetic Disturbances

— To understand geomagnetic effects on systems with long conductors it is necessary to know the electric field those systems experience. For surface conductors such as power systems and pipelines this can easily be calculated from the magnetic field variations at the surface using the surface impedance of the earth. However, for calculating the electric fields in pipelines and submarine cables at the seafloor it is necessary to take account of the attenuating effect of the conducting seawater. Assuming that the fields are vertically propagating plane waves, we derive the transfer functions between the electric and magnetic fields at the seafloor and the magnetic field variations at the sea surface. These transfer functions are then used, with surface magnetic field data, to determine the power spectra of the seafloor magnetic and electric fields in a shallow sea (depth 100 m) and in the deep ocean (depth 5 km) for different values of the Kp magnetic activity index. For the period range considered (2 min to 3 hrs) the spectral characteristics of the seafloor magnetic and electric fields for a 100 m deep sea are very similar to those of the surface fields. For the deep ocean the seafloor spectra show a faster decrease in spectral density with increasing frequency compared to the surface fields. The results obtained are shown to be consistent with seafloor observations. Assessment of the seafloor electric fields produced by different levels of geomagnetic activity can be useful in the design of the power feed equipment for submarine cables and cathodic protection for undersea pipelines.     

Geomagnetic Hazards to Conducting Networks

Geomagnetic disturbances can disrupt the operation of conductingnetworks, such as power systems, pipelines and communication cables. In power systems,geomagnetically induced currents (GIC) flow to ground through power transformers,disrupting their operation and causing transformer heating, increased reactive power demand,and generating harmonics that can cause relay misoperation. In extreme cases these effectscan lead to power blackouts such as occurred on the Hydro-Québec system during a geomagneticstorm in March 1989 leaving 6 million people without power for 9 hours.Geomagnetic disturbances are the result of eruptions on theSun that send high energy particles streaming out into space. When these particles reach theEarth they interact with the magnetic field, generating currents that flow down into the ionosphere.The most intense currents are associated with the aurora and occur in an east-west bandacross Canada. It is the magnetic field produced by these ionospheric currents that is seen on theground as a magnetic disturbance.Prevention of geomagnetic effects on power systems hasfocussed on blocking the flow of GIC in the system. However, such measures are expensive andmany utilities rely on forecasts of geomagnetic activity to help them operate during disturbances.The Canadian Geomagnetic Forecast Service, operated by Natural Resources Canada,has been in operation since 1974 and now provides long term and short term forecasts for threelatitude regions of Canada.Research is needed on all aspects of the problem; from newinformation about solar eruptions for improving forecasting services; to understanding systemresponse to disturbances. Research on geomagnetic disturbances is conducted by the CanadianGeomagnetic Forecasting Centre and a number of active groups at Canadian universities; whileresearch on geomagnetic effects is conducted by affected industries, often in collaborationwith the forecasting centre.