- #1

TMT

- 31

- 3

As far as my knowledge COP

_{(Heating)}=Q

_{Hot}/W

=T

_{Sink}/T

_{Sink}-T

_{Source}

where

T

_{Sink}=353K Heat rejected to Steam boiler (After compression)

T

_{Source}=318K Heat collected from ambient

COP

_{(Heating)}=318/(353-318) = 318/40 = 7.95

Again for rankine turbine efficiency = 1 - T

_{Condensed}/T

_{Vapor}

where

T

_{Condensed}=253K

T

_{Vapor}=353K

Turbine efficiency = 1 - 253/353 = 0.283

if Heat pump driven by N Kw

Heat pump deliver N x 7.95 Kw

Turbine can convert this with %28.3 efficiency

Turbine work out = N x 7.95 x 0.238 = N x 2.252 Kw

Now overall system efficiency = Energy

_{Output}/Energy

_{Input}

= N x 2.252 Kw/N Kw

=

**2.252**

Achieved

**Efficiency > 1**

Am I wrong? ( excess energy taken from environment not crated from absent)