Technical and basic information for the study of prevention (trends, polarities and vehicles)

Technical and basic information for the study of prevention (trends, polarities and vehicles)

                                            

1- Introduction

In addition to the basic information of electrical power systems, relays practitioners must have the ability to deal with and understand the directions, polarities and basic components that contain important information of current and directional voltage in fault conditions.

 

2- Vector Phasors

A vector is a complex number used to represent variable quantities in the form of a sine curve. In relay systems, vectors are used to design relays and perform a complete analysis of their performance during failures.  A faasor diagram must be accompanied by the circle it represents, unless the circle is quite clear. The vector diagram shows both the value and relative angles of all currents and potential differences, while the circuit only shows the locations, direction, polarity of currents and potential differences, and this difference should be obvious because most of the time confusion or confusion occurs when the direction drawing and the circuit drawing are combined or the circuit drawing is omitted altogether.

 

2-1  Symbols for drawing the circuit of the current:

The current or overflow is represented in two ways the first is the representation of the current with a uniform arrow on the circuit, Figure (1).   The second method is represented by lower binary symbols that express the terminal from which the current begins to move to the terminal it ends (IAB example), Figure (2). 


Figure (1)

 


Figure (2)

 

2.2  Alternating voltage codes 

The polarity of the voltage is represented in two ways, one is to add a sign (+) at the end of the arrow representing the potential difference, which expresses the highest point of voltage, and the second method is to use lower symbols, for example: (Vab) expresses the voltage difference between two voltages (a&b) where a is  higher than b, and the symbols that are used are as follows:

1.                  The symbol (V) is used to express voltage, and will be used to express the voltage difference. (E) is used to represent the voltage generated. The symbol U is also used   in some countries.

2.                  The use of (+) at the end of the arrow on the circuit expresses the positive party with respect to the other end in half of one cycle.

3.                  In the method of the lower symbols of the current or the potential difference, it expresses the real or assumed direction of the decrease in voltage when the voltage is at half the positive cycle. An example of the voltage difference between the two ends is a, b, and     the voltage is positive if the voltage of the other end (a) is higher than the voltage of the other end (b) in the positive alternating wave, and during the negative half of the wave, the situation is reversed.

 

 

 

2.3  Vector Symbols:

The most common type of axes consists of the axis of real quantities (X) and the axis of imaginary quantities (Y) as shown in Figure 3. These two axes are fixed in plane, while vectors move because they represent sine curves (the positive direction of rotation is counterclockwise) and thus the position of the vector is different at any moment in time. The length of the vector is proportional to its maximum value. Projecting this vector onto the real and imaginary axes, the real and imaginary compounds are represented at this moment. The vector can be represented by the effective value of R.M.S  ., which is often used. Point A can be represented in Figure (3) as follows:

1.      Phasor form       

2.    Polar          form   

3.      Complex form

4.      Exponential form

 

 


 

Figure (3): Fixed axes and directional labeling

 

2.3.1   The Law of Multiplication

The absolute value of directional multiplication is the product of the absolute values of the vectors and the angle is the sum of the angles for each.

 

2.3.2  The Law of Partition

The absolute value of the division is the product of the absolute value of the vectors and the angle is the product of the subtraction of the angles for each.

 

2-4  Vector diagram

The vectors are plotted from the origin point as shown in Figure (4) while in Figure (5) the directional drawing of the voltage has been shifted to show the voltage of the successive points (ABCD) of the connection respectively. In the United States the vectors of the three-phase system  are called (a,b,c) or (a,b,c) or (1,2,3), and in some other countries they are called (r, s,t), the symbol (n) of the neutral point, and the symbol (g) of the earth, are generally inconsistent, as they each have a different meaning, and the voltage difference between them is generally not equal to zero. The ground resistance (Rg) is shown in the ground potential difference of the relays.

 


Figure (4): Directional drawing of the open type of basic elements (resistor - reactor - capacitor) connected in sequence

 


Figure (5) Drawing the closed vector of the circle in Figure (4)

 

1.                  Rotation of Faces and Rotation of Vector

Phase rotation(phase sequence) vs. phasor rotation

Rotation of faces or sequence of faces is the order in which successive vectors are given when they reach a maximum positive value, and the rotation of a vector by a universal definition is in a counterclockwise direction. All standard relays have rotations of the three axes (a, b, c) and the conductivity can change from one rotation to another and the conductivity changes between (b, c) .

 

3- Polarity in the circles of relays:

3-1 Transformer Polarity

Figures (6 and 7) show the polarity of both the current and voltage transformers and the sum or subtraction. The polarity is denoted by  X  or by a black box as in Figures (6 and 7). The passage of current outside the terminal marked polarity at the secondary coil of the transformer is observed and it must be in the same direction as the current entry at the side with the polarity symbol at the primary coil.

 The voltage difference from the pole to the non-polarity mark in the first coil of the transformer must be in the same direction as the potential difference from the point that bears the polarity to the non-polarity mark at the secondary coil and the expression (it is necessary that they be in the same direction) allows a small error in the phase angle.

 


Figure (6) Polarity and Circuit Drawing of Transformers


 

Figure (7) Polarity and Circuit Drawing for a Traditional Representation of a Current Transformer and a Linear Conduction Transformer

 


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