1 E E2101 CIRCUIT ANALYSIS Academi c Y ear AY20 23 /24 Semes te r 1 Co urse Coordinator Click here to access EEE Course Coordin ator’s L ist Cours e Type C ore Pre - requisites N IL AU 3 Grad i ng Letter Gr ading Contact Hours Lectures: 19.5 hou rs , Tutorials: 1 9.5 hours, Laboratories: 6 hours Prop osal Date 1 5 Apr il 2023 Course Aims This course focuses on the f un da me ntal pri nciples of circuit theorems and circu it elements, DC / AC and three - ph ase circuit s, transient and steady - state responses, circuit analysis using Laplace transforms. In this course, you will learn various techniqu es (“tools”) to analyze the ope ra ti on of real circuits. Our maj or concern is the a nalysis of circ u its, i. e. the s tudy of the be havior of the circuit , not the creatio n of circuits, i.e., the engineering design of the circuit. Intended Learning Outcomes (ILO) Upon the successful comple ti on o f this c ourse, you shall b e able to: 1. A nalyse AC and DC line a r circui ts. 2. S et up indepen den t equations of linea r circuits and sol ve them using the techniques and skills acquired in this course. 3. Interpret and perform th e analytical techniques learnt in t hi s course correctly that ca n serve as a good f o undation for t h e study of linea r control s yst ems, power networks, electronics and c ommunication systems in later years C ourse Content No Topic Lecture Hours 1 Circu it T he orems Basic laws Independent and dependent sour c es. Operational amplifiers as cir cuit elements. No dal an d mesh a nalysis. Li nea rity and superposition. Thevenin’s the orem and Norton’s theorem. Maximum power t ra nsfer theorem. Star - delta trans fo rm at ion. 3 2 Energy S torage Ele ments and Transient Responses Capacitance and Inductance. Fir st order cir cuits. Init ial cond itions and ste p inputs. Natural response and time co nstant. Circuits with storage element s. Coupled circuits and dot c on ve nt ion. Fir st orde r transient responses. 3 3 Laplace Transforms in C ircuit Analysis 3 2 Review of the Lap lace T ransform. s - domai n circui t elements. Ci rcuit solutions with/without initial c onditions. Applications to RLC ci rcuits. Networks w it h mutual i nductance. Concept of transfer functions. Circuits with non - step in p uts. 4 Network Functions and Two - Por t Networks Transfer fun ctions. Poles and s tab ility. Time - domain behaviour from pole - zero plots. Step and impul se responses. DC an d AC steady - state responses. S eries and parallel resonance. Two - port networks. A d mittance, impedance, hyb rid and transmission p ar ameters. 3 5 Alterna ting Cur rent Circui ts Sinusoids and phasors. Phasor relation ships for circuit ele me nts. Impedances a nd a dmittanc es. Impedances com binations. Phasor diagrams. Sinusoidal steady - state analysis. Circuit theor ems for AC circuits. AC powe r analysis. Instantaneo us and a verage powe r. Maximum average power transfer theorem . RMS value. Conserva ti on of ac power. A pp ar ent powe r and power factor . Complex power. Power factor correction. Single - ph a se power measurements. 3 6 Three - phase AC Circu i ts Three - phase voltage generat ion. Balanc ed - three phase voltages. Phase sequence. Balanced Wye - W ye , Wye - Delta, Delt a - De lt a and De lta - Wye connection s. AC power for three phase systems. Unbalanced th r ee - phase system. Three - p hase power measurement s. 4.5 Total 19.5 LAB DESCR IPTION: 6 hours Two la b modules are incorporated in this cou rse. 1. L2 1 01A CIRCUIT THEOREMS AN D TIME RESPONSES O F P AS SI VE NETWO RKS Objectives: (a) T o study the concept of circuit linearity. (b) To determ i ne the Thevenin equivalent of a given circui t. (c) To study the d elivery of maximum pow er to a load. (d) To study the transient responses of the series RC and R LC circuits. 2. L2 1 01 B TW O - PORT N ETWORK PARAMETERS AND TRANSIENT RESPONSE OF A GENERAL SECOND - ORDER CIR C UIT Objectives: (a) To measure the admitt ance - parameters and tra nsmissio n parameter s o f two - port network. (b) To investigate the relationships between individ ua l network parame ter s an d two - po rt networks in cas cade and parallel connections. (c) To study the transient resp onse of a general second - order cir cuit. 3 Course Outline Type To pic of inte res t Number of hours Lectures Circuit th eorems 3 Energy Storage E lements and Tr ansie nt R esponses 3 Laplace Trans forms in Circuit Analysis 3 Network Functions and Two - Port Networks 3 Alternating Current Cir cuits 3 Three - phase A C Circui ts 4.5 Fa cil itated learning = 1.5 hours * 1 3 weeks = 19.5 hours Others Lab or atories = 3 hours * 2 lab s = 6 hours Tutorials = 1 .5 hour s * 13 weeks = 1 9.5 hours Total = 19.5 + 6 + 19.5 = 4 5 hours Assess ment (Includ es both continuous and summ ati v e asses s ment) Com pon ent Course LO Tested Related Programme LO or Graduate Attri bu tes Weighting Team/ Individual As se ss ment rubrics 1. Final Examin ation (1 - 3) (a - d) 60% Individual 2. Quiz (1 - 2) (a - b) 20% Individual 3. Assignment 1 ( 1 - 2) (a - b) 5% Individual 4. Assig nme nt 2 (1 - 3) (a - c ) 5% Individual 5. Laboratory L 20 01A (1 - 2) (a - b) 5% T eam 6. Laboratory L2001B (1 - 3) (a - c ) 5% Team Total 10 0 % Mapping of Course SLOs to EAB Graduate Attributes (new requirem e nt to up date School da tabase) Co urse Student Learning Outco mes Cat EAB’s 12 Graduate Attributes (a) (b) (c) (d) (e) (f ) (g) (h) (i) (j) (k) ( l) E E2 1 01 Circ uit analysis Core ◐ 1. Analyze AC and DC linear circuits. (a - c ) 2. Set up independe nt equations o f linear circuits a nd solve them using the techniques and skills acquired in this course. (a - c ) 3. Interpret and perform th e analytical techniques learnt in t hi s course c orrectly that ca n serve as a good f oundation for t h e study of linear cont rol systems, power ( a - d ) 4 networks, elec tronics and communication systems in later years Legend: Fully consistent (contributes to more than 75% of Student Learn ing Outc omes ) ◐ Partially consistent (contributes to about 50% of Student Learning Outcomes) Weakly consistent (contributes to about 25% of Student Learning Outcomes) Bla nk Not related to Student Learni ng Outcomes De scription of Assessment Components *EAB Graduate Attributes 1 a) Engineering Knowledge Apply the knowledge of mathematics, natural science, engineering fundamentals, and an engineering specialisation as specified in WK1 to WK4 respectively to the solution of complex engineering problems. b) Problem Analysis Identify, formulate, res earch literature, and analyse complex engineering problems reaching substantiated conclusions using first principles of mathematics, natural sciences, and engineering sciences. (WK1 to WK4) c) Design / Development of Solutions Design solutions for complex e ngineering problems and design systems, components or processes that meet the specified needs with appropriate consideration for public health and safety, cultural, s ocietal, and environmental considerations. (WK5) d) Investigation C onduct investigations of complex problems using research - based knowledge (WK8) and research methods including design of experiments, analysis and interpretation of data, and synthesis of the information to provide valid conclusions. e) Modern Tool Usage Create, select, and apply a ppropriate techniques, resources, and modern engineering and IT tools including prediction and modelling to complex engineering problems, with an understanding of the limitations. (WK6) f) The Engineer and Society Apply reasoning informed by contextual know ledge to assess societal, health, safety, legal and cultural issues and the consequent responsibilities relevant to professional engineering practice and solutions to complex engineering problems. (WK7). 1 Reference: EAB Accreditation M anual 5 g) Environ ment and Sustainability Understand and eval uate the sustainability and impact of professional engineering work in the solution of complex engineering problems in societal and environmental contexts. (WK7) h) Et hics Apply ethical principles and commit to professional ethics and responsibilities and n orms of the engineering practice. (WK7) i) Individual and Team Work Function effectively as an individual, and as a member or leader in diverse teams and in multidisci plinary settings. j) Communication Communicate effectively on complex engineering activitie s with the engineering community and with society at large, such as being able to comprehend and write effective reports and design documentation, make effective pres entations, and give and receive clear instructions. k) Project Management and Finance Demon strate knowledge and understanding of engineering management principles and economic decision - making, and apply these to one’s own work, as a member and leader in a t eam, to manage projects and in multidisciplinary environments. l) Life - long Learning Recogn ise the need for, and have the preparation and ability to engage in independent and life - long learning in the broadest context of technological change. N O Knowledg e Profile WK 1 A systematic, theory - based understanding of the natural sciences applicable to the discipline WK 2 Conceptually - based mathematics, numerical analysis, statistics and formal aspects of computer and information science to support analysis and modelling applicable to the discipline WK 3 A systematic, theory - based formulation of engi neering fundamentals required in the engin eering discipline WK 4 Engineering specialist knowledge that provides theoretical frameworks and bodies of knowledge for the accepted practice areas in the engineering discipline; much is at the forefront of the di scipline WK 5 Knowledge that supports engineering design in a practice area 6 WK 6 Knowledge of engineering practice (technology) in the practice areas in the engineeri ng discipline WK 7 Comprehension of the role of engineering in society and identified issu es in engineering practice in the discipline: ethics and the professional responsibility of an engineer to public safety; the impact of engineering activity: economic , social, cultural, environmental and sustainability WK 8 Engagement with selected knowled ge in the research literature of the discipline Formative Feedback In order to provide formative feedback, students are expected to attend all tutorial classes. In addition, students will be asked to make presentations of solutions o f assigned questions du ring the tutorial classes and every student will have o ne opportunity to make presentations and marks will be awarded. Learning & Teaching A pproa ch Approach How does this approach supp o rt students in achieving the learning outc omes? LECTURE Students will view the recorded lectures and attend the face - to - face lectures which will be conducted in an interactive way. TUTORIAL The tutorial will be conducted in an in teractive manner where s tudents are expected to interact with t he tuto r and other students, ask questions and provide alternative solutions to t utorial questions. LABORATORY There will be two three - hour laboratory sessions where students will reinforce t heir understanding. Stu d ents ar e exp ected to watch the briefing of the laboratory sessions and the use of the equipment before attending the lab oratory session. Students are expected to discuss the experimental results using the theory learnt. Reading s & Refer ences Te xtbook 1. Al ex ander Charles K and Sadiku Mat thew N O, Fundamentals of Electric Circuits , 7 th Edition, McGraw - Hill, 20 21 . ( TK4 54.A375 2017 ) References 1. Nilsson James William and Riedel Susan A, Electric Circuits , 1 1 th Edition, Pearson/Prentic e - Hall, 201 9 . (TK45 4 .N712 2 015) 2. Hayt William Hart, K emmerly Jack Ellsworth and Durbin Steven M, Engineering Circuit Analysis , 9 th Edi tion, McGraw Hill, 201 9 . (TK454.H426 2012) 3. M. Nahvi and J.A. Edminister, Schaum’s Outline s Electric Circuits , 5th Edition, McGraw - Hil l , 201 1. 7 C ourse Pol i cy & Student Responsi bility General : 1. Students are expected to watch the recorded lecture s and attempt the tutorial questions. 2. Students are expected to take responsibility to follow up with cours e notes, assignments and course r elat ed a nn ouncements. 3. Students are e xpected to participate in all tutorial discussions and ac tivities. Continuous a ssessments and laboratories: Students are required to attend all continuous assessments and laboratory sess ions. Absenteeism : Conti nuous asse ss ment s and laboratories make up a sign ificant portion of students’ course grade s . Absence from continuous assess ments and laboratories without officially approved leave will result in no marks and affect students’ overall course grade s Acade mic Integrity Good academic work depends on honesty and ethical behaviour. The qu ality o f your work as a student relies on adherin g to the principles of a cadem ic integrity and to the NTU H on our Co de, a set of valu es shared by the whole university com munit y. Truth, Trust and Justice are at the core of NTU’s shared values. As a student, it i s important that you recogni s e you r responsi bilities in understand in g and applying the principles of a c ademic integrit y in all the work you do at NTU. Not knowing w hat i s involved in maintaining academic integrity does not excuse academic dishonesty. You nee d to actively equip yourself wit h strategi es to avo id all forms of acad emic dishonesty, including p l agiarism , acad emic fra ud, collusion and cheating. If you are uncer tain about the definitions of any of these terms, you should refer to the A cademic I ntegri ty Handbook for more infor mati on. Consult your instr uctor (s) if you need any clarification about the requirements of academic integrity in the course. Course Instr uctors Instructor Offic e Location Phone Email The contact info will be provided to students at the beginning of each semester. Planned We ekl y Schedule Week Topic Course LO Reading s/ Acti vities 1. Basic Conc epts and Laws and Nodal Analysis Sound understanding of basic concepts and laws and Nodal Analysis Watch the recorded lectures and attempt Tutorial 1 . Tutorial class for tutorial 1a. 2. Mesh Analysis, Circuit Theorem a nd Oper a tional Ampli fies Sound under standing of Mesh Analysis, Circuit Theorem and Opera tional Amplifiers T utorial class for tutorial 1 b Watch the recorded lectures and attempt Tutorial 2 for week 3 3. Capacitors, Induc tors, Natural Response of First - Sound under standing of the phys ical pr inciples of Tutorial class for tutorial 2. Watch the recorded lectures , 8 Order Ci rcuits capacitors and inductors . T o be able to compute the natural response of RC and R L circuits. try the Practice q uestions and t hen attempt Tut orial 3 for w e ek 4. 4. For ced Response of First - Order Circuits To be able to c ompute the forced response of RC and LC circuits, and natural/forced response of parallel and series RLC circuits. Face - t o - face lectu re 1 Tutorial class for tutorial 3. Watch the recorde d lectures , try the p ractice q ues tions , attempt Tutorial 4 for we ek 5. 5. Basics o f Laplace Transform, Properties of Lapl ace Transform. Basics of Circuits Analy sis in Laplace Domain Sound understandin g of the definition and properties of the Laplace Tra nsform, and the concepts behind the ana lysis of circuits in Laplace domain Tutorial class for t utorial 4. Watch the recorded lectures , try the Practice Questions , t hen attempt Tutorial 5 for week 6. 6 Analysis of Circuits in Laplace Domain To be able to analyse circu its in Laplace domain. Face - t o - face lectu re 2 Tuto rial class for tutorial 5. Watch the recorded lectures , try the Practice Questions and t hen a t tempt T utorial 6 for week 7 7. Netwo rk Functions, Poles and Zeros o f Transfer Functions, Stability, Time Domain Output Response from Poles of Input and Poles of Transfer Function, Impulse Response and Step Response. To be able to determine the output response from the poles and zeros of tra nsfer function and input Tutorial class for tutorial 6. Watch the rec orded lectures , try the Practice Questions and t hen attempt Tutorial 7 for week 8 8. Two - port networks (admittance, impedance, hybrid, ABCD) define d by short - circuit and open circuit tests. Interconn ection of Two - port networks, Reciproc al and Symmetric al Tw o Port Networks. To be able to determine p arame ters of two port networks and interconnected two - port networks. Face - t o - face lectu re 3 Tutori al class for tutorial 7. Watch the recor ded lectures , try the Practice Questi ons and t hen att empt Tuto r ial 8 for week 9. 9. Sinusoids and Ph asors, Transformat ion of Time Domain Ci rcuits to Phasor Domain Circuits To be able to transform time domain circuits to phasor domain circuits Tutorial c lass for tutorial 8. Watch the record ed lectures and try the Practice Questions. Then attempt Tutoria l 9 for week 10. 10 Phasors approach to Sin usoidal Steady State Circuit Analysis – KVL, KCL, Nodal Analysis, Mesh Sound un derstanding of phasors approach using KVL, KCL, Nodal Analysis, Mes h Analysis and Circuit Tutorial c lass for tu torial 9. Watch the r ecorded lec tures , try the Practic e Questions and t hen attempt Tutorial 10 for 9 Analysis and Circuit Theorems Theorems week 11. 11. AC Power Analysis, C omplex Power, Power Factor Correction Sound understan ding of complex power and power factor correction Face - t o - face lectu re 4 Tutorial class for tutorial 10. Watch the recorded lectures and try the Practic e Questions. Then attempt Tut orial 11 12 Three Phase Circuits, Balanced Volta ge Sources, Balanced L oads and Unbalan ced Loads To be able to determine line currents, pha se currents, line voltages and phase voltages of Balanced Three Phase Voltage Sour c es (Wye, Delt a) connected to Th ree Phase Ba lanced L oads (Wye, Delta) Face - t o - face lectu re 5 Watch the rec orded lecture s , try the Practice Questions and t hen attempt Tutor ial 12 for week 13. 13. Three Phase Power Measurements To be able to m easure three phase power for unbalanced load s Face - t o - face lect u re 6 Tutorial class for tutorial 12. Watch the rec orded lectures a nd try the Practic e Questions.