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Wave-to-Wire Model and 
Energy Storage Analysis of an 
Ocean Wave Energy 
Hyperbaric Converter 
AUTHORS 
Edson H. Watanable; Senior Member, IEEE 
Jose Paulo Vilela Chunha; Member, IEEE 
Presented By: Md. Jakir Hossain 
Course No: EE 4130 
Roll No: 1003033 
Electrical and Electronic Engineering; KUET
OUTLINES 
Title and Content Layout with List 
Dynamic Modeling of WEC 
• Mathematical Modelling of the Accumulator 
• Proposed Model for Generating Unit 
 Energy Storage Analysis 
 Simulation of Proposed Wave-to-Wire Model 
• Illustration of the Performances 
 Evaluation of the Dynamic Behavior of the System
Schematic of the WEC 
Title and Content Layout with List 
Fig1: Schematic of the wave energy converter 
PTO : Power Take-Off 
WEC : Wave Energy Converter 
INPH : National Institute of Waterways Research
INPH Sea-state Occurrence Data 
Title and Content Layout with List 
Fig2: Sea-state occurrence at Port of Pecem, Brazil 
Wave Height (Hs) 
Between 1 and 1.75m; 90% 
Higher than 2m; 20% 
Peak Wave Period (tp) 
Range of 5-7s; 90% 
Range of 12-20s; 20%
Wave-to-Wire Model 
Title and Content Layout with List 
Fig3: Basic block diagram of the wave-to-wire model 
Pw = kwHw 
2tw kW 
kw = (ρg2/32π) × 10-3 kg/m/s4 
Pw = Power of the incident wave train 
Hw = wave height 
tw = wave period
Accumulator Model 
Title and Content Layout with List 
Fig4: Small-scale pumping modules at LabOceano 
Fig5: Schematic representation of 
the hydropneumatic accumulator 
Ṗc = ϒmgRgTg[ (Qi - Qo) / (VT - Va)ϒ+1 ]
Generating Unit Model 
Title and Content Layout with List 
Fig6: Equivalent electric circuit of the synchronous generator (a) d-axis and (b) q-axis 
Fig7: synchronous generator circuit (a) rotor and stator in the dq frame and 
(b) stator connected to a three-phase load
Fluctuations of Simulation Parameters 
Title and Content Layout with List
Simulation Results 
Title and Content Layout with List 
Fig8: Simulation results: Pumping unit variables and variables and mechanical power 
for the islanded system and connected system
Simulation Results 
Title and Content Layout with List 
Fig9: Simulation results: Generating unit 
variables for the islanded system 
Fig10: Simulation results: Generating unit 
variables for connected system
Conclusions 
A complete mathematical wave-to-wire model is presented 
The main subsystems of the converter were described 
The dynamic models were integrated to evaluate storage of the system 
A model for the generating unit was proposed 
Simulation of the proposed model (1:10) were presented 
Smoothing of system output using energy storage devices 
The output electrical power was found to be 14 ± 0.0022% kW 
The output terminal voltage is found to be 380 ± 0.001% Volt
Title and Content Layout with List 
Thank You

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Wave-to-Wire Model of an Ocean Wave Energy Converter

  • 1. Wave-to-Wire Model and Energy Storage Analysis of an Ocean Wave Energy Hyperbaric Converter AUTHORS Edson H. Watanable; Senior Member, IEEE Jose Paulo Vilela Chunha; Member, IEEE Presented By: Md. Jakir Hossain Course No: EE 4130 Roll No: 1003033 Electrical and Electronic Engineering; KUET
  • 2. OUTLINES Title and Content Layout with List Dynamic Modeling of WEC • Mathematical Modelling of the Accumulator • Proposed Model for Generating Unit  Energy Storage Analysis  Simulation of Proposed Wave-to-Wire Model • Illustration of the Performances  Evaluation of the Dynamic Behavior of the System
  • 3. Schematic of the WEC Title and Content Layout with List Fig1: Schematic of the wave energy converter PTO : Power Take-Off WEC : Wave Energy Converter INPH : National Institute of Waterways Research
  • 4. INPH Sea-state Occurrence Data Title and Content Layout with List Fig2: Sea-state occurrence at Port of Pecem, Brazil Wave Height (Hs) Between 1 and 1.75m; 90% Higher than 2m; 20% Peak Wave Period (tp) Range of 5-7s; 90% Range of 12-20s; 20%
  • 5. Wave-to-Wire Model Title and Content Layout with List Fig3: Basic block diagram of the wave-to-wire model Pw = kwHw 2tw kW kw = (ρg2/32π) × 10-3 kg/m/s4 Pw = Power of the incident wave train Hw = wave height tw = wave period
  • 6. Accumulator Model Title and Content Layout with List Fig4: Small-scale pumping modules at LabOceano Fig5: Schematic representation of the hydropneumatic accumulator Ṗc = ϒmgRgTg[ (Qi - Qo) / (VT - Va)ϒ+1 ]
  • 7. Generating Unit Model Title and Content Layout with List Fig6: Equivalent electric circuit of the synchronous generator (a) d-axis and (b) q-axis Fig7: synchronous generator circuit (a) rotor and stator in the dq frame and (b) stator connected to a three-phase load
  • 8. Fluctuations of Simulation Parameters Title and Content Layout with List
  • 9. Simulation Results Title and Content Layout with List Fig8: Simulation results: Pumping unit variables and variables and mechanical power for the islanded system and connected system
  • 10. Simulation Results Title and Content Layout with List Fig9: Simulation results: Generating unit variables for the islanded system Fig10: Simulation results: Generating unit variables for connected system
  • 11. Conclusions A complete mathematical wave-to-wire model is presented The main subsystems of the converter were described The dynamic models were integrated to evaluate storage of the system A model for the generating unit was proposed Simulation of the proposed model (1:10) were presented Smoothing of system output using energy storage devices The output electrical power was found to be 14 ± 0.0022% kW The output terminal voltage is found to be 380 ± 0.001% Volt
  • 12. Title and Content Layout with List Thank You