Wiring diagram one motor conveyor

In the industrial world that use machine tools, there is a conveyor. The conveyor is used to move or distribute the products produced by the industry itself. Example of a conveyor as shown in the picture below

Wiring diagram or simple start-stop control circuit one motor conveyor is shown below

Click to enlarge

Electric parts needed for the wiring above:
1. Breaker NFB 3P 10 A 1 pc
2. Transformer (step down) 380 V / 220 V 3 A 1 pc
3. Magnetic Contactor 3P coil 220 V 1 pc
4. Thermal Over load Relay 1 pc
5. Fuse glass 2 A dan 3 A @ 1 pc
6. Pilot lamp 220 V 1 pc
7. Start button 1pc
8. Stop button 1 pc
9. Motor

Wiring diagram compressor, star-triangle (star-delta) switching system

In most cases compressor driven by the large power motor, above 10 KW. That used to generate the huge air pressure anyway.

Example of compressor with power 30 KW (40 HP) as shown in the picture below.

To reduce inrush current (electric current of early motion) that can reach 200% to 300% of normal current when the motor will rotate, the system needs to be made such a wiring diagram star-triangle (star-delta) switching, as shown by the picture below.

Click to enlarge
Electric parts needed for the wiring above:
1. Breaker 100 A 1 pc
2. Transformer step down 380 V / 220 V 3 A 1 pc
3. Magnetic contactor 3P 55 KW coil 220 V 3 pcs
4. Power on delay (Timer) 220 V 1 pc
5. Thermal over load relay 65 A 1 pc
6. Fuse glass 2 A dan 3 A @ 1 pc
7. Start button 1 pc
8. Stop button 1 pc
9. Motor 37 KW 380 V 3 φ 1 unit

Multiplication and division method of a complex numbers

When the addition and subtraction method of a complex numbers must be in rectangular form, the multiplication and division method of a complex numbers, should be in polar form. Where has the rule: absolute value multiplied (or divided) with absolute value. For angle value have rules: if multiplication, angle value added with angle value and if division, angle value subtracted with angle value.

Sample question 1: (36 ∠ 22°) × (5 ∠ 45°) = ?

Completion:

r (abs) = 36 × 5 = 180

φ (angle) = 22 + 45 = 67

Result:

(36 ∠ 22°) × (5 ∠ 45°) = 180 ∠ 67°

If there is a question multiplication (or division) of rectangular and polar, then the rectangular form must be converted into polar form.

Sample question 2: (14 + j63) ÷ (25 ∠ 37°) = ?

Completion:

Conversion rectangular form (14 + j63) into polar form

14 + j63 = 64.53681 ∠ 77.47119°

we have

r (abs) = 64.53681 ÷ 25 = 2.58147

φ (angle) = 77.47119 - 37 = 40.47119

Result:

(14 + j63) ÷ (25 ∠ 37°) = 2.58147 ∠ 40.47119°

Addition and subtraction method of a complex numbers

Addition and subtraction method of a complex numbers given by the problem, solved in rectangular form. Where has the rule: real part added (or subtracted) with real part, and imaginary part added (or subtracted) with imaginary part of a complex numbers.

Sample question 1: (30 + j25) + (13 − j5) = ?

Completion:

x (real) = 30 + 13 = 43

y (imaginary) = 25 − 5 = 20

Result:

(30 + j25) + (13 − j5) = 43 + j20

If there is a question addition (or subtraction) of polar and rectangular, then the polar form must be converted into rectangular form.

Sample question 2: (53 + j17) + (21 ∠ 22°) = ?

Completion:

Conversion polar form (21 ∠ 22°) into rectangular form

21 ∠ 22° = 21 (cos 22 + jsin 22) = 19.47086 + j7.86674

we have

x (real) = 53 + 19.47086 = 72.47086

y (imaginary) = 17 + 7.86674 = 24.86674

Result:

(53 + j17) + (21 ∠ 22°) = 72.47086 + j24.86674

How to operation of a scientific calculator for conversion complex numbers

To solve the problems of a complex numbers (manual method), you should have a scientific calculator. An example Casio S-V.P.A.M fx-570w as I use to my scientific calculator, that looks like the picture below.

Casio S-V.P.A.M fx-570w scientific calculator

Operating a scientific calculator you notice calculator buttons present in a [ ] that will be described below, this applies to brands and types of scientific calculator in general.

1. Conversion the complex numbers rectangular form into polar form

Example: 30 + j25 = ?

r (abs) = [ SHIFT ] [ Pol( ] [ 30 ] [ , ] [ 25 ] [ ) ] [ = ] 39.05125

φ (angle) = [ RCL ] [ F ] [ = ] 39.80557

Becomes: 30 + j25 = 39.05125 ∟ 39.80557°

2. Conversion the complex numbers polar form into rectangular form

Example: 40 ∟ 65° = ?

x (real) = [ SHIFT ] [ Rec( ] [ 40 ] [ , ] [ 65 ] [ ) ] [ = ] 16.90473

y (imaginary) = [ RCL ] [ F ] [ = ] 36.25231

Becomes: 40 ∟ 65° = 16.90473 + j36.25231

Notes:

Mode position calculator in D or Deg (degree)
RCL-E and RCL-F is use to switch the value shown.

Calculation polar form into rectangular form of a complex numbers

After understanding the manual calculation method to convert complex numbers rectangular form into polar form, this time we'll learn the manual calculation method to convert complex numbers polar form into rectangular form, or the otherwise.

The complex numbers conversion's software, I have given it for free, click Converting complex numbers. It's how to compare the results of manual calculation with the execution of software's program.

Here I will give an example of the manual calculation method to convert complex numbers polar form into rectangular form, with sample questions 40 ∟ 65°

Given the polar form:

40 ∟ 65°

r (abs) = 40
φ (angle) = 65

Completion:
x (real) = r (cos φ) = 40 (cos 65) = 16,90473
y (imaginary) = r (sin φ) = 40 (sin 65) = 36,25231

Then the rectangular form becomes:
x + jy = 16,90473 + j36,25231

See a picture below, the calculation above Polar form into rectangular form