Solve questions 1-8 below by the Euler's method and RK4 method. 1 A simple RL-electrical circuit consists of a constant reristance R (in ohms), a constant inductance L (in hengry) and an electromotive force E(t) (in volts).

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.40P
icon
Related questions
icon
Concept explainers
Question

numerical method 

by ODEs

If the exact solution is i=8(1-e“), find the absolute errors at each
iteration.
Transcribed Image Text:If the exact solution is i=8(1-e“), find the absolute errors at each iteration.
Solve questions 1-8 below by the Euler's method and RK4 method.
1
A simple RL-electrical circuit consists of a constant reristance R (in
ohms), a constant inductance L (in hengry) and an electromotive force
E(t) (in volts).
E
R
ll
According to Kirchoff's second laws, the current I (in amperes) in the
circuit satisfies the equation
di
L+ Ri = E(t).
dt
Given E(t) =120, L=3 henrys, R=15 ohms and i=0 when t=0
Solve the first-order differential equation for 0<t<0.05 with At =0.01.
Transcribed Image Text:Solve questions 1-8 below by the Euler's method and RK4 method. 1 A simple RL-electrical circuit consists of a constant reristance R (in ohms), a constant inductance L (in hengry) and an electromotive force E(t) (in volts). E R ll According to Kirchoff's second laws, the current I (in amperes) in the circuit satisfies the equation di L+ Ri = E(t). dt Given E(t) =120, L=3 henrys, R=15 ohms and i=0 when t=0 Solve the first-order differential equation for 0<t<0.05 with At =0.01.
Expert Solution
steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
Knowledge Booster
Load flow analysis
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Power System Analysis and Design (MindTap Course …
Power System Analysis and Design (MindTap Course …
Electrical Engineering
ISBN:
9781305632134
Author:
J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:
Cengage Learning