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PASSIVE FILTERS

PASSIVE FILTERS. Prepared by Ertuğrul Eriş Reference book: Nilsson/Riedel, «Electric Cırcuıts». Updated: November 2011. FILTERS ( FİLTRELER ). Input/output: sinusoidal signals Output → frequency selective/attenuated. FILTERS/TRANSFER FONCTION. FILTER TYPES. H(s) = V 0 (s) / V i (s).

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PASSIVE FILTERS

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  1. PASSIVE FILTERS Prepared by Ertuğrul Eriş Reference book: Nilsson/Riedel, «Electric Cırcuıts» Updated: November 2011 Ertuğrul Eriş

  2. FILTERS (FİLTRELER) • Input/output: sinusoidal signals • Output →frequency selective/attenuated Ertuğrul Eriş

  3. FILTERS/TRANSFER FONCTION Ertuğrul Eriş

  4. FILTER TYPES H(s) = V0(s) / Vi(s) Geçen band: passband Geçmeyen band: stopband Frekans cevabı eğrisi: Frequency response plot Genlik Eğrisi: magnitude plot Faz Eğrisi: phase angle plot Kesim frekansı: cutoff frequency Alçak geçiren filtre: lowpass filter Yüksek geçiren filtre: highpass filter Band geçiren filtre: bandpass filter Band geçirmeyen filtre: bandreject filter Investigation Transfer function’s module and phase is directly related to filter characteristik, Why? Ertuğrul Eriş

  5. LOW-PASS FILTERS:RL (ALÇAK GEÇİREN FİLTRELER) Ourput: resistors voltage, What happens if it were inductor voltage? ω=0 İnductor is short-circuited Source voltage equals resistor voltage ω=∞ İnductor ope-circuit No Resister voltage Ertuğrul Eriş

  6. CUT OFF FREQUENCY Cut off frequency, for which transfer function magnitude is decreased b y thr factor from its max value.. The average power delivered to the loaad is one half the maximum average powere. Why do we need cut off frequency? Ertuğrul Eriş

  7. LOW-PASS FILTERS:RL Sum of inductor’s and resistors voltages constant, when one of the element’s voltage increase s the orher element’s voltage decreases ω=0 |H(jω)|=1 WHY? İdeal/practical charteristics? Ertuğrul Eriş

  8. LOW-PASS FILTERS:RC Ertuğrul Eriş

  9. TRANSFER FUNCTIONS FOR LOW PASS FILTERS Ertuğrul Eriş

  10. TRANSFER FONCTION/ DECIBEL Ertuğrul Eriş

  11. dB AND OUTPUT/INPUT RATIO Ertuğrul Eriş

  12. LOW-PASS FILTER AMPLITUDEBODE DIAGRAM (strait line aproximation) Ertuğrul Eriş

  13. LOW-PASS FILTERS/BODE DIAGRAM L= 1 mH R= 10KΩ C= 1 μH R= 10KΩ Ertuğrul Eriş

  14. HIGH-PASS FILTER:RC Ourput: resistors voltage, What happens if it were capacitor voltage? ω=0 Capacitor open-circuit No Resister voltage ω=∞ capacitor is short-circuited Source voltage equals resistor voltage Ertuğrul Eriş

  15. CUT OFF FREQUENCY Ertuğrul Eriş

  16. HIGH-PASS FILTER:RC Sum of the inductor’s and resistors voltages constant, when one of the element’s voltage increase s the orher element’s voltage decreases Ertuğrul Eriş

  17. HIGH-PASS FILTER:RC Ertuğrul Eriş

  18. LOADING THE SERIES RL HIGH-PASS FILTER Pass band much like ideal but cut off frequency decreased. Ertuğrul Eriş

  19. HIGH-PASS FILTER/ TRANSFER FUNCTION Ertuğrul Eriş

  20. HIGH-PASS FILTER AMPLITUDE BODE DIAGRAM (strait line aproximation) 20log10ω/p1 Ertuğrul Eriş

  21. HIGH-PASS FILTERS/ BODE DIAGRAM C= 1 μH R= 10KΩ L= 1 mH R= 10KΩ Ertuğrul Eriş

  22. BAND-PASS FILTERS ωc1, ωc2 = kesim frekansları (cut off frequency), max |h(jω)|/ √2 ω0 = orta frekans (center frequency), = Where transfer function becomes real = Where transfer function’s amplitude becomesmax imum = resonance frequency = β = Band genişliği (Bandwidth) = ωc1- ωc2 Q = Kalite faktörü (quality factor) = ω0/ β İf two of these parameters are known then the others can be calculated. Why there are additional parameters? Ertuğrul Eriş

  23. BAND-PASS FILTER: SERIES RLC Egative frequency has been ignored!!. Yorum: What are the differences from the previous filters? Why? What would be the ımphedance of serial LC at center frequency? İs this ideal pass-band filter? Ertuğrul Eriş

  24. BAND-PASS FILTER AMPLITUDE BODE DIAGRAM(strait line aproximation) ω01=8 r/s→1,35 Hz ω02=118 r/s→18,9 Hz 1 r/s <ω < 10 r/s için 10 r/s <ω < 100 r/s için 100 r/s <ω < ∞ r/s için Rule: sum of induvidual log terms in different frequency bands Ertuğrul Eriş

  25. BAND-PASS FILTER PHASEBODE DIAGRAM(strait line aproximation) Ertuğrul Eriş

  26. BAND-PASS FILTER AMPLITUDE/PHASEBODE DIAGRAM L=100mH C=10μF R=11Ω Ertuğrul Eriş

  27. SERIES RLC BAND-PASS FILTER SYNTHESIS Lower cutoff frequency: 1000 Hz Upper cutoff frequency: 10000 HZ L, C, R? Two parameters, three unknowns? Bir parametre seçimi : Standart capacitor values are limited, there are more standart resistor and ınductor values. Attention: Radial frequeccy in formulas but normal frequency given Solution: C = 1μF L = (1/ω02C) = 2.533 mH What shall we do, if the calculated values are not available as standart values? Ertuğrul Eriş

  28. LOADED BAND-PASS FILTERS Yorum: Orta frekans değişmedi, Band içi genlik düzleşti, Band genişliği arttı İyi mi oldu? Neden? Çözüm? Ertuğrul Eriş

  29. BAND-PAS FILTER: SERIES R WITH PARALLEL LC Yorum: What are the differences from the previous filters? Why? What would be the ımphedance of serial LC at center frequency? İs this ideal pass-band filter? Ertuğrul Eriş

  30. BAND-PAS FILTER:SERIES R WITH PARALLEL LC L=1mH, C=1μF, R=0,1Ω Ertuğrul Eriş

  31. SERIES RLC BAND-PASS FILTER SYNTHESIS Lower cutoff frequency: 5KHz Upper cutoff frequency: 200Hz L, C, R? Two parameters, three unknowns? Bir parametre seçimi : Standart capacitor values are limited, there are more standart resistor and ınductor values. Attention: Radial frequeccy in formulas but normal frequency given Solution C = 5μF R = (1/βC)= 159Ω L = (1/ω02C) = 202 μH Ertuğrul Eriş

  32. BAND-PASS FILTER/ TRANSFER FUNCTION Ertuğrul Eriş

  33. SERIES RLC CIRCUIT TIME AND FREQUENCY DOMAINS Ertuğrul Eriş

  34. BAND-REJECT FILTERS Compare with band-pass filters circuits Ertuğrul Eriş

  35. BAND-REJECT FILTERS Ertuğrul Eriş

  36. BAND-REJECT FILTERS TRANSFER FUNCTIONS Ertuğrul Eriş

  37. BAND-REJECT FILTERS(series LC/ BODE DIAGRAM Ertuğrul Eriş

  38. BAND-REJECT FILTERS(parallel LC/ BODE DIAGRAM Ertuğrul Eriş

  39. Ertuğrul Eriş

  40. Ertuğrul Eriş

  41. Ertuğrul Eriş

  42. PROGRAM DESIGN DEPT, PROGRAM G R A D U A T E S T U D E N T STATE, ENTREPRENEUR STUDENT PROGRAM OUTCOMES P R OG R A M O U T C O M E S P R OG R A M O U T C O M E S FIELD QALIFICATIONS EU/NATIONAL QUALIFICATIONS KNOWLEDGE SKILLS COMPETENCES NEWCOMERSTUDENT ORIENTIATION ALUMNI, PARENTS GOVERNANCE Std. questionnaire ORIENTIATION NGO STUDENT PROFILE Std. questionnaire FACULTY STUDENT, ??? CIRCICULUM ??? INTRERNAL CONSTITUENT Std. questionnaire EXTRERNAL CONSTITUENT EXTRERNAL CONSTITUENT REQUIREMENTS EU/NATIONAL FIELD QUALIFICATIONS PROGRAM OUTCOMES QUESTIONNAIRES QUALITY IMP. TOOLS GOAL: NATIONAL/INTERNATIONAL ACCREDITION

  43. BLOOM’S TAXONOMYANDERSON AND KRATHWOHL (2001) !!Listening !! Doesn’t exits in the original!!! http://www.learningandteaching.info/learning/bloomtax.htm Ertuğrul Eriş

  44. ULUSAL LİSANS YETERLİLİKLER ÇERÇEVESİ BLOOMS TAXONOMY Ertuğrul Eriş

  45. COURSE ASSESMENT MATRIX LEARNING OUTCOMES Devre Analizi İlk Ders

  46. ‘ABET’ ENGINEERING OUTCOMES Ertuğrul Eriş

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