COLLEGE OF SCIENCE AND TECHNOLOGY EPE3262_ Transmission and Distribution The line insulators, and their mechanical properties; The surges; causes; effects and protections the corona and corona losses; interference between communication lines. the sag and tension of a given profile in electrical power line 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 1 COLLEGE OF SCIENCE AND TECHNOLOGY Insulators What is an insulator and It’s purpose in an overhead power lines? •The overhead line conductors should be supported on the poles or towers in such a way that currents from conductors do not flow to earth through supports i.e., line conductors must be properly insulated from supports. This is achieved by securing line conductors to supports with the help of insulators. •The insulators provide necessary insulation between line conductors and supports and thus prevent any leakage current from conductors to earth. •Used to provide necessary clearance between conductors and metal works , the conductors are attached to insulators. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 2 COLLEGE OF SCIENCE AND TECHNOLOGY The insulators should have the following desirable properties : (i) High mechanical strength in order to withstand conductor load, wind load etc. (ii) High electrical resistance of insulator material in order to avoid leakage currents to earth. (iii) High relative permittivity of insulator material in order that dielectric strength is high. (iv) The insulator material should be non-porous (not allowing liquid or air to pass through it), free from impurities and cracks otherwise the permittivity will be lowered. (v) High ratio of puncture strength to flashover. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 3 COLLEGE OF SCIENCE AND TECHNOLOGY • The most commonly used material for insulators of overhead line is porcelain but glass, steatite and special composition materials are also used to a limited extent. • Porcelain is produced by firing at a high temperature a mixture of kaolin, feldspar and quartz. It is stronger mechanically than glass, gives less trouble from leakage and is less effected by changes of temperature • The most suitable materials for insulators are: Toughened glass and Porcelain 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 4 COLLEGE OF SCIENCE AND TECHNOLOGY Toughened glass: Can withstand great tension. Glass is cheaper than porcelain in simpler shapes. Used very rarely. For lines below 25kV with short spans. Porcelain: Mechanically stronger than glass Less affected by changes in temperature Most commonly used material for manufacturing of insulators. used for high-voltage power transmission Toughened glass 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA Porcelain 5 COLLEGE OF SCIENCE AND TECHNOLOGY Types of Insulators •The successful operation of an overhead line depends to a considerable extent upon the proper selection of insulators. •There are several types of insulators The most commonly used are pin type, suspension type, strain insulator and shackle insulator. Pin type insulators: o Consists of non- conducting material such as glass, porcelain , wood, polymer and plastic. o Small , simple in construction and cheap. o For higher voltages they tend to be more heavy and costly. The cost of pin type insulator increases rapidly as the working voltage is increased. o Pin insulator are used for transmission and distribution of electric power at voltage up to 33kv 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 6 COLLEGE OF SCIENCE AND TECHNOLOGY Suspension type insulators: •Used for lines above 33kV •Also known as disc or string insulators. •Consists of porcelain discs mounted one above the other. •The conductor is suspended below the point of support by an insulator string. •They consist of a number of porcelain discs connected in series by metal links in the form of a string. •The conductor is suspended at the bottom end of this string while the other end of the string is secured to the cross-arm of the tower. •This type of insulator is not economical beyond 33kv. •Each unit or disc is designed for low voltage, say 11 kV. The number of discs in series would obviously depend upon the working voltage. For instance, if the working voltage is 66 kV, then six discs in series will be provided on the string. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 7 COLLEGE OF SCIENCE AND TECHNOLOGY Suspension type insulators 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 8 COLLEGE OF SCIENCE AND TECHNOLOGY Advantages (i) Suspension type insulators are cheaper than pin type insulators for voltages beyond 33 kV. (ii) Each unit or disc of suspension type insulator is designed for low voltage, usually 11 kV. Depending upon the working voltage, the desired number of discs can be connected in series. (iii) If any one disc is damaged, the whole string does not become useless because the damaged disc can be replaced by the sound one. (iv) The suspension arrangement provides greater flexibility to the line. The connection at the cross arm is such that insulator string is free to swing in any direction and can take up the position where mechanical stresses are minimum. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 9 COLLEGE OF SCIENCE AND TECHNOLOGY Cont….Advantages……. (v) In case of increased demand on the transmission line, it is found more satisfactory to supply the greater demand by raising the line voltage than to provide another set of conductors. Therefore, the additional insulation required for the raised voltage can be easily obtained in the suspension arrangement by adding the desired number of discs. (vi) The suspension type insulators are generally used with steel towers. As the conductors run below the earthed cross-arm of the tower, therefore, this arrangement provides partial protection from lightning. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 10 COLLEGE OF SCIENCE AND TECHNOLOGY Strain Insulators: •Similar to suspension type insulators. •When there is a dead end of the line or there is corner or sharp curve, the line is subjected to greater tension. •For low voltage lines (< 11 kV), shackle insulators are used as strain insulators. •However, for high voltage transmission lines, strain insulator consists of an assembly of suspension insulators. •The discs of strain insulators are used in the vertical plane. When the tension in lines is exceedingly high, as at long river spans, two or more strings are used in parallel. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 11 COLLEGE OF SCIENCE AND TECHNOLOGY Shackle Insulator : •Now a days, shackle insulators are frequently used for low voltage distribution lines. •Such insulators can be used either in a horizontal position or in a vertical position. •They can be directly fixed to the pole with a bolt or to the cross arm. •They can be directly fixed to the pole with a bolt or to the cross arm. Fig. Shackle Insulator 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 12 COLLEGE OF SCIENCE AND TECHNOLOGY The surges; causes; effects and protections What is surges in power system? • Electrical devices are designed to handle specific voltages. Unfortunately, in cases where devices are subject to higher voltages than they are designed for, damage can occur. • A power surge is: an abnormally high voltage lasting for a short period of time a transient wave of voltage, current or power in an electrical circuit. • This is usually a sub-cycle overvoltage lasting less than a half-cycle of the regular voltage waveform, and can either be additive or subtractive with positive or negative polarity. https://www.sunpower-uk.com/glossary/what-is-a-power-surge/ 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 13 COLLEGE OF SCIENCE AND TECHNOLOGY • This is usually an oversupply of the voltage from a source such as mains supply or generator and lasting only for a few microseconds. Typical surges may last for 50 microseconds and even though it’s only a very short duration, they surge can reach 6000 Volts and 3000Amps by the time they arrive at the powered equipment Causes of power surges • Surges are produced by various events such as equipment faults, lightning discharges, capacitor bank building and load switching. The ability of the equipment to withstand the transients greatly impact on its reliability. • There are different types of power surges based on the sources and voltages involved. A surge can range from five to ten volts when a hair dryer is turned on or several thousand volts when a lightning strikes a transformer https://www.sunpower-uk.com/glossary/what-is-a-power-surge/ 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 14 COLLEGE OF SCIENCE AND TECHNOLOGY Effects of power surges • The power surges, which are brief overvoltage disturbances or spikes may reach amplitudes of as high as tens of thousands of volts, and can degrade, damage, or destroy electronics equipment within an industrial or manufacturing facility, or within a home or commercial building or it can damage the lines and equipment’s connected to the system • Surges are common causes of failures in electronics and computer equipment. • Low level surges won’t cause instant damage such as blowing fuses or melting electronic components, instead it causes gradual degradation of the components until they completely fail. The larger power surges cause instantaneous damage, blowing up fuses, semiconductors, resistor and capacitors 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 15 COLLEGE OF SCIENCE AND TECHNOLOGY How to protect equipment from electrical power surges? The surges can be suppressed before reaching the equipment. There are different methods that can be used depending on magnitude of expected surges and the powered equipment. The most common method is the use of surge protective devices (SPDs). The SPDs limit the transient overvoltage from reaching the equipment, hence preventing damage to the equipment. They divert the surge to an alternative route such as the ground and hence drive the excess voltage away from the powered equipment. These components vary in their: The common devices used are: •Effectiveness •Reliability •Metal Oxide Varistor (MOV) •Availability •Silicon Avalanche diode (SAD) •Energy capability •Gas Discharge Tubes (GDT) •Cost https://www.sunpower-uk.com/glossary/what-is-a-power-surge/ 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 16 COLLEGE OF SCIENCE AND TECHNOLOGY the corona and corona losses; interference between communication lines. the sag and tension of a given profile in electrical power line 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 17 COLLEGE OF SCIENCE AND TECHNOLOGY Corona in an overhead transmission line https://www.electricaltechnology.org/2018/02/corona-effect-discharge-transmissionlines-power-system.html https://muniracademy.com/corona-effect/ • Electric power transmission practically deals with the bulk transfer of electrical energy, from generating stations situated many kilometers away from the main consumption centers or the cities • A power system transmission lines are separated by certain spacing when potential difference is applied across the power conductors in transmission lines then air medium present between the phases of the power conductors acts as insulator medium however the air surrounding the conductor subjects to electro static stresses . • When the potential increases still further then the atoms present around the conductor starts ionize 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 18 COLLEGE OF SCIENCE AND TECHNOLOGY ……………….Corona in an overhead transmission line • Corona was electrical discharge emerge around overhead line conductor, due to air flow where would disturb radio waves and creating lost power. • When a normal ac voltage is applied across two conductors with enough spacing between them, there is no change in the atmospheric conditions surrounding the conductors. But if the voltage exceeds a particular limiting value, then the air surrounding the conductors will gets ionized and luminous glow (weak purple color) will rise with hissing sound. This phenomena is called corona. • Corona is the phenomenon in which hissing sound, violet glow and production of ozone takes place in an overhead transmission line. It is not necessary that the violet glow appears, but the hissing sound is always present in Corona. The effect which is the cause of corona is known as Corona Effect. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 19 COLLEGE OF SCIENCE AND TECHNOLOGY Further increase in the potential difference in the transmission lines then a faint luminous glow of violet color appears together along with hissing noise. This phenomenon is called corona The corona discharge around a high voltage coil. 11/22/2022 Large corona discharge (white) around conductors energized by a 1.5 million volt transformer in a laboratory. EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 20 COLLEGE OF SCIENCE AND TECHNOLOGY • Corona is a type of localised emission resulting from transient gaseous ionisation in an insulation system when the voltage stress i.e., voltage gradient exceeds a critical value,is also known a partial discharge . • Corona can also occur within voids in insulators as well as at the conductor/insulator interference • The corona effect in power system has a predominant role in reducing the efficiency of EHV (extra high voltage lines). • During wet and humid conditions, water drops collect on the conductors and increase corona activity. under these conditions , a crackling or humming sound may be heard in the immediate vicinity of the line. • Then the ions produced in this process repel with each other and attracts towards the conductor at high velocity which intern produces other ions by collision. The ionized air surrounding the conductor acts as a virtual conductor and increases the effective diameter of the power conductor. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 21 COLLEGE OF SCIENCE AND TECHNOLOGY The phenomenon of corona is affected by the physical state of the atmosphere as well as by the conditions of the line (i) Atmosphere. As corona is formed due to ionization of air surrounding the conductors, therefore, it is affected by the physical state of atmosphere. In the stormy weather, the number of ions is more than normal and as such corona occurs at much less voltage as compared with fair weather. (ii) Conductor size. The corona effect depends upon the shape and conditions of the conductors. The rough and irregular surface will give rise to more corona because unevenness of the surface decreases the value of breakdown voltage. Thus a stranded conductor has irregular surface and hence gives rise to more corona that a solid conductor. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 22 COLLEGE OF SCIENCE AND TECHNOLOGY …………Factor Affecting Corona (iii) Spacing between conductors. If the spacing between the conductors is made very large as compared to their diameters, there may not be any corona effect. It is because larger distance between conductors reduces the electro-static stresses at the conductor surface, thus avoiding corona formation. (iv) Line voltage. The line voltage greatly affects corona. If it is low, there is no change in the condition of air surrounding the conductors and hence no corona is formed. However, if the line voltage has such a value that electrostatic stresses developed at the conductor surface make the air around the conductor conducting, then corona is formed. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 23 COLLEGE OF SCIENCE AND TECHNOLOGY The phenomenon of corona plays an important role in the design of an overhead transmission line. Therefore, it is profitable to consider the following terms much used in the analysis of corona effects: (i) Critical disruptive voltage. It is the minimum phase-neutral voltage at which corona occurs. (ii) Visual critical voltage. It is the minimum phase-neutral voltage at which corona glow appears all along the line conductors. (iii) Power loss due to corona. Formation of corona is always accompanied by energy loss which is dissipated in the form of light, heat, sound and chemical action. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 24 COLLEGE OF SCIENCE AND TECHNOLOGY Consider two conductors of radii r cm and spaced d cm apart. If V is the phase-neutral potential, then potential gradient at the conductor surface is given by: In order that corona is formed, the value of g must be made equal to the breakdown strength of air. The breakdown strength of air at 76cm pressure and temperature of 25ºC is 30 kV/cm (max) or 21·2 kV/cm (r.m.s.). In order that corona is formed, the value of g must be made equal to the breakdown strength of air. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 25 COLLEGE OF SCIENCE AND TECHNOLOGY If Vc is the phase-neutral potential required under these conditions, then, The above expression for disruptive voltage is under standard conditions i.e., at 76 cm of Hg and 25ºC. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 26 COLLEGE OF SCIENCE AND TECHNOLOGY If these conditions vary, the air density also changes, then it will affect corona, thus altering the value of go. The value of go is directly proportional to air density. Thus the breakdown strength of air at a barometric pressure of b cm of mercury and temperature of tºC becomes δ go where 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 27 COLLEGE OF SCIENCE AND TECHNOLOGY Correction must also be made for the surface condition of the conductor. This is accounted for by multiplying the above expression by irregularity factor mo. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 28 COLLEGE OF SCIENCE AND TECHNOLOGY (ii) Visual critical voltage. It is the minimum phase-neutral voltage at which corona glow appears all along the line conductors. It has been seen that in case of parallel conductors, the corona glow does not begin at the disruptive voltage Vc but at a higher voltage Vv, called visual critical voltage. The phase-neutral effective value of visual critical voltage is given by the following empirical formula : where mv is another irregularity factor having a value of 1·0 for polished conductors and 0·72 to 0·82 for rough conductors. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 29 COLLEGE OF SCIENCE AND TECHNOLOGY (iii) Power loss due to corona. Formation of corona is always accompanied by energy loss which is dissipated in the form of light, heat, sound and chemical action. When disruptive voltage is exceeded, the power loss due to corona is given by : 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 30 COLLEGE OF SCIENCE AND TECHNOLOGY Advantages and disadvantages of Corona Advantages (i) Due to corona formation, the air surrounding the conductor becomes conducting and hence virtual diameter of the conductor is increased. The increased diameter reduces the electrostatic stresses between the conductors. (ii) Due to lightning and switching, surges are produced, thus Corona reduces the effects of transients produced by surges. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 31 COLLEGE OF SCIENCE AND TECHNOLOGY Disadvantages (i) Corona is accompanied by a loss of energy. This affects the transmission efficiency of the line. (ii) Ozone is produced by corona and may cause corrosion of the conductor due to chemical action. (iii) The current drawn by the line due to corona is non-sinusoidal and hence non-sinusoidal voltage drop occurs in the line. This may cause inductive interference with neighbouring communication lines. Radio Interference: Corona produces radiations which create disturbance in the radio waves, this is known as Radio Interference. The signal affected by it can be television, radio or communication signal. It affects the area of few kilometers 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 32 COLLEGE OF SCIENCE AND TECHNOLOGY Methods of Reducing Effect of Corona careful design should be made to avoid corona on the sub-stations or busbars rated for 33 kV and higher voltages otherwise highly ionised air may cause flash-over in the insulators or between the phases, causing considerable damage to the equipment. The corona effects can be reduced by the following methods : 1. By increasing the spacing between the conductors: Corona Discharge Effect can be reduced by increasing the clearance spacing between the phases of the transmission lines . However increase in the phases results in heavier metal supports. Cost and Space requirement increases. 2. By increasing the diameter of the conductor: Diameter of the conductor can be increased to reduce the corona discharge effect. By using hollow conductors corona discharge effect can be improved. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 33 COLLEGE OF SCIENCE AND TECHNOLOGY ……………Methods for reducing corona: 3. By using Bundled Conductors: By using Bundled Conductors also corona effect can be reduced this is because bundled conductors will have much higher effective diameter compared to the normal conductors. 4. By Using Corona Rings or Grading Rings: This now does not have much significance as Corona Rings or Grading Rings are present on the surge arresters to equally distribute the potential along the Surge Arresters or Lightning Arresters which are present near the Substation and in the Transmission lines. Bundled Conductors 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 34 COLLEGE OF SCIENCE AND TECHNOLOGY 1. Determine the critical descriptive voltage and corona loss for a 3-phase line operating at 110kV which has a conductor of 1.25 cm diameter arranged in a 3.05metre delta. Assume air density factor of 1.07 and the dielectric strength of air to be 21kV/cm. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 35 COLLEGE OF SCIENCE AND TECHNOLOGY 2. A 3-phase line has conductors 2 cm in diameter spaced equilaterally 1 m apart. If the dielectric strength of air is 30 kV (max) per cm, find the disruptive critical voltage for the line. Take air density factor δ = 0·952 and irregularity factor mo = 0·9. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 36 COLLEGE OF SCIENCE AND TECHNOLOGY 3. A 3-phase, 220 kV, 50 Hz transmission line consists of 1·5 cm radius conductor spaced 2 metres apart in equilateral triangular formation. If the temperature is 40ºC and atmospheric pressure is 76 cm, calculate the corona loss per km of the line. Take mo = 0·85. Solution the corona loss is given by : Review exercises found in the book of Principles of power systems, by Mehta pages 184-186. Available in UR/CST library 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 37 COLLEGE OF SCIENCE AND TECHNOLOGY Sag an Overhead Lines • Erecting an overhead line, it is very important that conductors are under safe tension. • If the conductors are too much stretched between supports in a bid to save conductor material, the stress in the conductor may reach unsafe value and in certain cases the conductor may break due to excessive tension. In order to permit safe tension in the conductors, they are not fully stretched but are allowed to have a dip or sag. • The difference in level between points of supports and the lowest point on the conductor is called sag. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 38 COLLEGE OF SCIENCE AND TECHNOLOGY A conductor suspended between two equilevel supports A and B. The conductor is not fully stretched but is allowed to have a dip. The lowest point on the conductor is O and the sag is S. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 39 COLLEGE OF SCIENCE AND TECHNOLOGY • Conductor sag and tension is an important consideration in the mechanical design of overhead lines. • The conductor sag should be kept to a minimum in order to reduce the conductor material required and to avoid extra pole height for sufficient clearance above ground level • It is also desirable that tension in the conductor should be low to avoid the mechanical failure of conductor and to permit the use of less strong supports • The tension on the conductor depends on the following factors: Weight of the conductor Wind effects Ice loading Temperature variation clearance above ground level 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 40 COLLEGE OF SCIENCE AND TECHNOLOGY (i) When supports are at equal levels. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 41 COLLEGE OF SCIENCE AND TECHNOLOGY Consider a conductor between two equilevel supports A and B with O as the lowest point. It can be proved that lowest point will be at the mid-span. Refer fig.below in which ‘O’ is the lowest point of the conductor spacing. • L=length of span in meters • W=weight of the conductor per unit length • T=tension on the conductor • Consider any point ‘P’ on the conductor whose coordinate are ‘x’ and ‘y’. • There are two external forces acting on the portion ‘OP 1. Tension T 2. The weight wx which acts at a distance of x/2 from the point O or P, as OP=x acting downward EPE3262_Transmission & distribution prepared by JOSEE 11/22/2022 MUSABYIMANA 42 COLLEGE OF SCIENCE AND TECHNOLOGY Equating the moments of above two forces about point O, we get, 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 43 COLLEGE OF SCIENCE AND TECHNOLOGY We can see this condition at (ii) When supports are at unequal levels. hilly areas. • Conductor suspended between two supports A and B which are at different levels. The lowest point on the conductor is O. Let l = Span length h = Difference in levels between two supports x1 = Distance of support at lower level (i.e., A) from O x2 = Distance of support at higher level (i.e. B) from O T = Tension in the conductor If w is the weight per unit length of the conductor, then, 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 44 COLLEGE OF SCIENCE AND TECHNOLOGY If w is the weight of conductor per unit length of the conductor, then, 𝑤𝑥 2 2𝑇 From 𝑦 = by replacing y=S1 or S2, and X= X1 or X2 , we get 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 45 COLLEGE OF SCIENCE AND TECHNOLOGY 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 46 COLLEGE OF SCIENCE AND TECHNOLOGY Effect of wind and ice loading. • The above formulae for sag are true only in still air and at normal temperature when the conductor is acted by its weight only. • In actual practice, a conductor may have ice coating and simultaneously subjected to wind pressure The weight of ice acts vertically downwards i.e., in the same direction as the weight of conductor. The force due to the wind is assumed to act horizontally i.e., at right angle to the projected surface of the conductor. Hence, the total force on the conductor is the vector sum of horizontal and vertical forces as shown in this fig. EPE3262_Transmission & distribution prepared by JOSEE 11/22/2022 MUSABYIMANA 47 COLLEGE OF SCIENCE AND TECHNOLOGY 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 48 COLLEGE OF SCIENCE AND TECHNOLOGY 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 49 COLLEGE OF SCIENCE AND TECHNOLOGY Example: A 132 kV transmission line has the following data : Wt. of conductor = 680 kg/km ; Length of span = 260 m Ultimate strength = 3100 kg ; Safety factor = 2 Calculate the height above ground at which the conductor should be supported. Ground clearance required is 10 metres. clearance above ground level 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 50 COLLEGE OF SCIENCE AND TECHNOLOGY Solve example found in the book of Principle of power system by Mehta page 190-198 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 51 COLLEGE OF SCIENCE AND TECHNOLOGY Some Mechanical Principles Some important points in the mechanical design of overhead transmission lines. (i) Tower height Tower height depends on the length of the span. With long spans, relatively few towers are required but they must be tall and costly. It is not usually possible to determine the tower height and span length on the basis of direct construction costs because the lightning hazards increase greatly as the height of the conductor is increased. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 52 COLLEGE OF SCIENCE AND TECHNOLOGY (ii) Conductor clearance to ground level (h1): The conductor clearance to ground at the time of greatest sag should not be less than some specified distance (usually between 6 and 12 m), depending on the voltage, on the nature of the country and on the local laws. The greatest sag may occur on the hottest day of summer on account of the expansion of the wire or it may occur in winter owing to the formation of a heavy coating of ice on the wires. Special provisions must be made for melting ice from the power lines. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 53 COLLEGE OF SCIENCE AND TECHNOLOGY (iii) Sag and tension : When laying overhead transmission lines, it is necessary to allow a reasonable factor of safety in respect of the tension to which the conductor is subjected. The tension is governed by the effects of wind, ice loading and temperature variations. The relationship between tension and sag is dependent on the loading conditions and temperature variations. For example, the tension increases when the temperature decreases and there is a corresponding decrease in the sag. Icing-up of the line and wind loading will cause stretching of the conductor by an amount dependent on the line tension 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 54 COLLEGE OF SCIENCE AND TECHNOLOGY (iv) Stringing charts : For use in the field work of stringing conductors, temperature-sag temperature tension charts plotted for the given conductor loading conditions. the and are and These charts are very helpful while stringing overhead lines. Sag Tension (v) Conductor spacing : Spacing of conductors should be able to provide safety against flash-over when the wires are swinging in the wind. The proper spacing is a function of span length, voltage and weather conditions. The use of horizontal spacing eliminates the danger caused by unequal ice loading. Small wires or wires of light material are subjected to more swinging by the wind than heavy conductors. Therefore, light wires should be given greater spacing. 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 55 COLLEGE OF SCIENCE AND TECHNOLOGY (vi) Conductor vibration : Wind exerts pressure on the exposed surface of the conductor. If the wind velocity is small, the swinging of conductors is harmless provided the clearance is sufficiently large so that conductors do not approach within the sparking distance of each other. A completely different type of vibration, called dancing, is caused by the action of fairly strong wind on a wire covered with ice, when the ice coating happens to take a form which makes a good air-foil section. Then the whole span may sail up like a kite until it reaches the limit of its slack, stops with a jerk and falls or sails back. The harmful effects of these vibrations occur at the clamps or supports where the conductor suffers fatigue and breaks eventually. In order to protect the conductors, dampers are used. Review exercises found in the book of Principles of power systems, by Mehta pages 200-201. Available in UR/CST library 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 56 COLLEGE OF SCIENCE AND TECHNOLOGY End of lecturer 3 Any question(s) ?????? 11/22/2022 EPE3262_Transmission & distribution prepared by JOSEE MUSABYIMANA 57 𝑤𝑥 2 𝑦= 2𝑇 GMR=0.7788r (ε0 = 8.85 x 10-12 F/m)