……… POWER LOST FOR DRIVING THE MOTOR

J ……… FLYWHEEL MASS MOMENT OF INERTIA

..……. FLYWHEEL ANGULAR VELOCITY

……… PITCH ANGLE

……… ROLL ANGLE RESULTS

(Monthly Avg. Power Extraction) ………Power Generated

C ………Damping Coefficient Of PTO

J ………Flywheel Mass Moment Of Inertia

……….Flywheel Angular Velocity

..…….Pitch Angle Amplitude

………Stiffness Of PTO HYDRODYNAMIC ANALYSIS

( DAMPING) PTO EFFICIENCY:

POWER ELECTRONICS:

POWER EXTRACTED IS OF FLUCTUATING NATURE

IT DOESN’T MATCH TO THE GRID STANDARDS

CONVERSION LOSSES NEED TO BE CONSIDERED

In the hypothesis, the power electronics along with the linear generators work with an efficiency of 75%. What is Power Take - Off (PTO) ????

It’s a device converting mechanical energy into electrical energy.

TYPES :

Rotary type PTO

Linear Type PTO I’ ………. Pitching Mass Moment Of Inertia

I”(wѠ)……Added Mass Moment Of Inertia

B(wѠ)…….Hydrodynamic Damping

K ………..Hydrostatic Stiffness

……….Wave Induced Exitation Moment

...…….Wave Frequency

…...….Pitch Angle

The Wave Excitation Moment On A Float Is Given By:

where is the amplitude of the excitation moment and its magnitude is given by

where A …… Wave Amplitude

L …… Length of the Float

B …… Float width

……. Non-Dimensional Amplitude ( ≈ 0.2 to 0.5 ) Air drag due to turbulent motion over a flat plate is given by

Torque to overcome this drag is estimated as

where

Therefore, power lost to overcome aerodynamic drag is given by DESIGN & ANALYSIS OF

GYROSCOPIC WAVE ENERGY CONVERTER R PTO & MOORING By Chaurasia Shashi

Prabhu Karthick

Sanjay Pal

Aftab Alam Hon'ble Guide - Er M. Aquil FLOAT HYDRODYNAMICS WAVE ENERGY GYRO-DYNAMICS According To Linear Wave Theory, energy of a wave is given by,

where, H …..Significant Wave Height

T ….. Wave Time Period ENERGY OF WAVE WAVE PARAMETERS Wave Energy : Unexplored Potential Its Time for Non-Conventional Energy Conventional Energy WAVE ENERGY CONVERTERS (WECs) SALTER’S DUCK Courtesy :NIO,Andheri WAVE DATA Courtesy MEDA INDIAN SCENARIO

(AROUND MAHARASHTRA) Courtesy NIO, Andheri GLOBAL SCENARIO

Central Water and Power Research Station (CWPRS), Pune and Department of Marine Engineering of IIT Madras are the Institutes which have undertake experiments in wave energy research. A pilot plant of 150 KW was successfully installed at VIZHINJHAM near Trivandrum by CWPRS and IIT Chennai in late 80s.

Department of Ocean development has located a site at ROSS Island in Andaman and Nicobar islands where a plant of 1 MW is proposed. A Swedish company Sea Power AS is interested to start a project of 1 MW at KAVARATTI in Lakshadweep. INDIAN SCENARIO MOTOR POWER

(To overcome Gyroscopic Effects) SYSTEM SPECIFICATION ACTUAL MODEL POWER CONVERSION PRINCIPLE GYROSCOPIC PRINCIPLE WAVE MARINE CONTAINER FLOATER SUPPORTING FRAME ACTUAL MODEL MOTOR POWER

(To overcome Aerodynamic Drag) ADVANTAGE OVER OTHER WECs Series DC-Motor Characteristics SELECTION OF MOTOR MOTOR POWER

(To overcome Aerodynamic Drag) HYDRODYNAMIC MATHEMATICAL MODEL EXCITATION MOMENT ON A FLOAT FLOAT MOTIONS FLOAT MOTION WITH 6 DOF DIFFRACTION:

Due to Diffracted waves pressure around the body changes.

RADIATION:

Due 6 DOF motion, the float itself generates waves. FORCES ACTING ON A FLOAT HYDRODYNAMIC (ADDED) MASS:

Due to acceleration of fluid around the float as it (fluid) moves. FORCES ACTING ON A FLOAT FROUDE KRYLOV FORCE:

Due to pressure gradient generated around the float by the accelerated motion of the fluid. FORCES ACTING ON A FLOAT WORKING CONSTRUCTION POWER TAKE-OFF WORKING PTO SELECTION POWER LOST DURING EXTRACTION

REQUIREMENTS OF MOORING:

Maintain the floating structure on station .

No tension loads in the electrical transmission cable(s).

The mooring system should allow the removal of single devices without affecting the mooring of adjacent devices.

Removal of mooring lines for inspection and maintenance must be possible.

The mooring must be sufficiently stiff to allow berthing for inspection and maintenance purposes.

Contact between mooring lines must be avoided. MOORING Spread Mooring: Multi-Catenary Mooring

Single Point Mooring: Catenary Anchor Leg Mooring (CALM) MOORING CONFIGURATION ANALYSIS & RESULTS OPTIMIZATION

( RESONANCE ) RESONANT FREQUENCY : HYDRODYNAMIC ANALYSIS

( ADDED INERTIA) HYDRODYNAMIC ANALYSIS

( HYDROSTATIC STIFFNESS ) AQWA REQUIREMENTS POWER EQUATION TIME (s) POWER (W) For

T = 9.15 sec

H = 1.23 m

P(avg) = 5 kW RESULTS (PRE-MONSOON) SIMULINK FLOAT-GYROSCOPIC MODEL LAYOUT Voltage (V) OPTIMIZATION

( CONTROLING LTG) OPTIMIZATION

( DAMPING CO-EFFICIENT ) POWER (W) For

T = 9.4 sec

H = 2.455 m

P(avg) = 23 kW RESULTS (SW MONSOON) TIME (s) POWER (W) For

T = 9.26 sec

H = 1.59 m

P(avg) = 8.76 kW RESULTS (POST MONSOON) THANK YOU !!!

H. Kanki, S. Arii, T. Furusawa, T. Otoyo, ―”Development of advanced wave power generation system by applying gyroscopic moment”‖, Proc. of the 8th European Wave and Tidal Energy Conference, 2009.

M. Ravindran and Paul Mario Koola,“Energy From Sea Waves- the Indian Wave Energy Programme”.

N. Bianchi, S. Bolognani, D.D. Corte, F. Tonel, “Tubular linear permanent magnet motors: an overall comparison”, Industry Applications Conference, 37th IAS Annual Meeting, vol.2, 2002 pp. 1266 – 1273.

S.H. Salter, Wave power, Nature 249 (1974) 720–724.

J. Falnes, “Ocean Waves and Oscillating Systems”, Cambridge University Press, Cambridge, 2002.

Prof. M. C. Deo, Civil Engg. Department, IIT- Bombay . REFERENCES CONCLUSION Expressions for the power production of the device is estimated.

Linear tubular PTOs with variable damping coefficient and stiffness enables maximum power extraction.

The maximum power absorbed is proportional to the flywheel angular momentum, square of the wave frequency, the amplitude of pitch and the amplitude of oscillation of the PTO shaft.

Hence maximum power absorption can be achieved by using cheap flywheel having low inertia but high angular speed. OPTIMIZATION

( RESONANCE ) RESONANT FREQUENCY : INTRODUCTION TIME (s) Linear Tubular PTO for GWEC

Greater power can be absorbed

Dynamically Balanced

Better efficiency

Simple in construction

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# Gyroscopic Wave Energy Converter

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