Hogere Zeevaartschool Antwerpen - HZS

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2016 2017Hogere Zeevaartschool AntwerpenMaritime Electricity and Electronics0.1PrerequisitesThe courses Marine Electrotechnics part2, Marine Electronics Analoge part2and Marine Electronics digital part2 will pursue the courses Marine Electrotechnics part1, Marine Electronics Analoge part1, Marine Electronics digital part1 , Marine Electrotechnics part 1 , General Electricity as well asthe basics on Thermodynamics and Mechanics. The comprehension of thesepreliminary courses is a premise for success this year. To test yourself: Electrical Machines, Drives, And Power Systems.Theodore WildiISBN 0-13-196918-81. Units2. Fundamentals of Electricity, Magnetism, and Circuits3. Fundamentals of Mechanics and Heat4. Three-Phase Induction Machines5. Selection and Application of three Phase Induction Machines6. Equivalent Circuit of the Induction Motor7. Synchronous Generators8. Synchronous Motors Solve the excersises of aforementioned chapters.These chapters are considered an integral part of the courses MarineElectrotechnics part 2. Marine Electronics Analoge part 1 is considered an integral part ofMarine Electronics Analoge part 2.1

Marine Electronics digital part 1 is considered an integral part of Marine Electronics Digital part 2.0.20.2.1ConventionsUnitsValues and numbers can have a maximum of two lagging zero’s, and can’thave any leading zeros.10Ω OK100Ω OK1000Ω N OK 1KΩ0, 1A N OK 100mA0.2.2Earth GroundEarthFigure 1: earth symbolEarth is a direct connection to the earth’s potential. As long as a ship isat sea the hull can be considered as the earth, when the ship is moored theschip’s hull can no longer be considered as earth as it will propably have adifferent potential unless the hull is earthed ,fysically connected to the earth.0.2.3GroundFigure 2: ground symbolThe ground of an electrical circuit is the reference we chose and againstwhich we make our measurements, its our 0 volts or the place where we putthe black lead of our voltmeter.2

0.2.4Earth GroundIn some cases the chassis or metal case of our appliance is connected to boththe earth and the ground. In this special case we refer to this connection asearth ground. (osciloscopes and power supply’s in the electronics lab).0.30.3.1ReviewOhm’s lawFigure 3: ohm’s lawv1 v2Rv2 v1 i Ri Unloaded Voltage Dividerv1 v2R1 R2v1 v2vo v1 R1.i1 v1 R1.R1 R2R1 v1 .(v1 v2)R1 R2R1R1 v1 (v1. v2.)R1 R2R1 R2R2R1vo v1. v2.R1 R2R1 R2i1 i2 i 3

Figure 4: Unloaded Voltage DividerFigure 5: Loaded Voltage DividerLoaded Voltage Divideri1 i2 i(1)v1 vo(2)R1vo v2i2 (3)R2i1 With (1),(2) and (3)v1 vovo v2 iR1R2v1vovov2 iR1 R1R2 R2vov1v2vo iR1 R2R1 R24

R1.R2R1.R2R1.R2R1.R2.vo .vo .v1 .v2 R1.R2.iR1R2R1R2R2R1R1.R2vo v1. v2. i.R1 R2R1 R2R1 R20.3.2CapacitorFigure 6: capacitor i,v relationshipUnit of capacitance C is expressed in Farad.i C.dvdt1 Ztv i.dtC 0with S ddtand1S Rt0dti S.C.v or i S.C.(v1 v2)v 11.i or (v1 v2) .iS.CS.C v can not change instantaneously (initial value) i 0 for DC (perfect insulator) (final value) every change of voltage over a capacitor takes timeReactanceThe reactance of a capacitor is its resistance towards AC currents and isexpressed in ohms.v1 v21Zc iS.C5

Special Case: pure sinusoidal voltageZc 111 S.Cω.C2.π.f.CWhat if f 0 ?0.3.3InductorFigure 7: inductor i,v relationshipUnit of inductance L is expressed in Henri.v L.i with S ddtand1S Rt0didt1Zti.dtL 0dtv v1 v2 S.L.ii 1.(v1 v2)S.L. i can not change instantaneously (initial value) v 0 for DC (short circuit) (final value) every change of current through a capacitor takes timeReactanceThe reactance of an inductor is its resistance towards AC currents and isexpressed in ohms.v1 v2 S.LZL i6

Special Case: pure sinusoidal voltaged ω SdtZL ω.L 2.π.f.LWhat if f 0 ?0.3.4StepresponseFigure 8: exponential function The voltage over a capacitor will change exponentially in response toa unity step function. The current through an inductor will change exponentially in responseto a unity step function.Whe can write an exponential function as:tx A B.e τwith: A and B are constants t time in seconds τ is the time constant in seconds7

startvalue at a time t 0x xo A Bfinal value at a time t x x AThen we can write:B xo A xo x So:tx x (xo x ).e τOr:tx x (x xo).e τVoltage over a capacitor in response to a step functionFigure 9: Voltage over a capacitor in response to a step functiontx x (x xo).e τtvc v2 (v2 v1).e R.CWe can prove that R.C is a time constant in seconds:8

1volt 1ampere.1ohm 1coulomb 1f arad.1volt 1ampere 1coulomb1secondeτ C.R F arad.ohm coulomb voltcoulombseconds. coulomb. secondsvolt ampereamperecoulombCurrent through an induction in response to a step functionFigure 10: Current through an induction in response to a step functionio 0iv Rtx x (x xo).e τ9

vv Lt .e RR Ris a time function in seconds: With:iL We can prove thatH LRm2 .kgWbV.ss2m2 .kgJT.m2 Ω.s C2s2 .A2A2AAAFwith: A ampere C Coulomb F Farad J Joule kg kilogram m meter s second Wb Weber T tesla V volt Ω ohmSo:LHenriΩ.seconds τ secondsRΩΩ10

trotechnics part1, Marine Electronics Analoge part1, Marine Electronics dig-ital part1 , Marine Electrotechnics part 1 , General Electricity as well as the basics on Thermodynamics and Mechanics. The comprehension of these preliminary courses is a premise for success this year. To test yourself: Elec-tri

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