Calculate in polar form the sequence components

Assignment Help Electrical Engineering

Reference no: EM1392037

1. Express the following operators:

j, j², j³, a, a², a³, -a², -a in rectangular form and sketch the operators in the complex plane.

2. Evaluate the following expressions in polar form

a. a²- 1

b. 1- a - a²

c. 2a² + 3 + 2a

d.1 + a + a²

3.Determine analytically the voltages to neutral V_an, V_bn. V_cn in a circuit where

V_an1 =	50	∠0° V
V_an2 =	10	∠90⁰ V
^Van° =	10	∠180⁰ V

4.Solve Problem 3 graphically

5. Determine the symmetrical components of the three currents l_a= 10∠0A l_b = 10∠250A, = 10∠110 A

6.The current flowing in the fines towards a balanced load connected in delta formation are l_a=100∠0A, l_b=141.4∠225A, and I_c=100∠90A . Determine a general expression for the relation between the symmetrical components of the line currents flowing towards a delta-connected load and the phase currents in the load, that is, between l_a1 and l_ab1 and between l_a2 and l_ab2. Start by drawing phasor diagrams of the positive and negative sequence line and phase currents. Find l_ab in amperes from the symmetrical components of the given line currents

7. State Fortescue's Theorem and illustrate its principle by means of a simple phasor diagram of an unbalanced three-phase system.

(ii) Calculate in polar form the sequence components of unbalanced lineto-neutral voltages given as follows:

(iii) Calculate in polar form the phase currents corresponding to the sequence components

(ii) V_a =180∠45^° v, V_b = 50∠-30^° V, V_c= 80∠0^o V

(iii) I_aa = 50∠15^°A , l_a1, = 200∠60^°A , 1_a2 = 160∠290°A

Reference no: EM1392037

Questions Cloud

Determining probability for normal distribution : According to an IRS study, it takes a mean of 330 minutes for taxpayers to prepare, copy and electronically file a 1040 tax form. This distribution of times follows the normal distribution and the standard deviation is 80 minutes.

Assuming the basic fixed-order quantity inventory model : Assuming the basic fixed-order quantity inventory model fits this situation and no safety stock is needed, which of the following is the reorder point (R)?

Question on normal distribution and z-score : The amounts of money requested on home loan applications at a particular bank follow the normal distribution, with a mean of $80,000 and a standard deviation of $24,000. A loan application is received during the day.

Forecast the rental and leasing revenue : Shown below are rental and leasing revenue ?gures for of?ce machinery and equipment in the United States over a seven-year period according to the U.S. Census Bureau. Use these data to run a linear regression and then forecast the rental and leasi..

Calculate in polar form the sequence components : Calculate in polar form the sequence components of unbalanced lineto-neutral voltages and calculate in polar form the phase currents corresponding to the sequence components

Paragraph about the normal distribution : Write down a paragraph about the normal distribution. In the paragraph give an example of a distribution that you would judge to be nearly normal and explain why you have made that conclusion.

Energy storage molecule : Determine what kind of energy storage molecule would you most likely find in the highest quantity in the seed of a plant? please explain why it would be this type of molecule in one sentence.

Using the probability approach to determine an inventory : Using the probability approach to determine an inventory safety stock and wanting to be 95 percent sure of covering inventory demand

Normal distribution-z-score and percentage : Suppose a botanist grows many individually potted eggplants, all treated identically and arranged in groups of four pots on the greenhouse bench.

User Account

All Pages