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page 54 of 188 RIVM report 461502024<br />

thermal capacity in base-load operation runs with an average load-factor BLF T , the required<br />

thermal capacity to generate the base-load demand, ECap bT , is :<br />

(&DS<br />

E7<br />

*(O' * )UDF%/<br />

=<br />

− β *((&DS<br />

* %/) + (&DS * %/) + (&DS<br />

E+<br />

+<br />

β * %/)<br />

7<br />

E18<br />

18<br />

E15<br />

* %/)<br />

15<br />

)<br />

MWe (4.2)<br />

The total required base-load capacity is calculated as ECap b = ECap H + ECap NU + ECap NR +<br />

ECap bT . It is possible that ECap bT < 0. In this case ECap bT is taken zero and the excess nonthermal<br />

capacity, ECap exc,N , is assumed to be operated in peak-load. The capacity available for<br />

peak-load, ECap p , equals ECap inst - ECap b . Its load factor is calculated as:<br />

[ * (1 − )UDF%/) /((&DS<br />

* ), 3/) ]<br />

3/) = 0,1 *(O'<br />

β<br />

(4.3)<br />

S<br />

with PLF max an assumed upper limit for the load factor of peak-load capacity.<br />

The choice of FracBL, BLF and PLF can be calibrated to the historical value of the (regional)<br />

over-all system load factor. In first instance, FracBF and BLF are kept constant over time,<br />

whereas PLF is calculated to gauge demand and production under the condition PLF < PLF max ,<br />

as described above. One may wish to simulate measures to increase the over-all system load<br />

factor (e.g. load management) by increasing PLF max . Alternatively, one may incorporate other<br />

characteristics for N-options by a change of BLF over time (e.g. lower values if photovoltaics<br />

have a larger share).<br />

This formulation takes into account that a capacity shortage may develop. If this occurs, it<br />

generates demand for additional capacity to be built according to the equation for required<br />

capacity expansion (k=H, T, NU, NR):<br />

(&DS<br />

RUG<br />

= ((&DSE<br />

+ ( Pr RG<br />

S<br />

/( 3/)<br />

max<br />

* β ) − (&DSLQVW<br />

+ ∑ (&DSN<br />

/ 7/7N<br />

) MWe (4.4)<br />

N<br />

in which the last term accounts for depreciated capacity. In the actual calculation, an<br />

extrapolated demand GElD for the calculation of ECap b<br />

34 is used and a construction time CT k<br />

is taken into account. For the calculation of the electricity produced in the peak-load, it is<br />

assumed that the excess non-thermal-capacity (NU or NR) is used at the PLF-value and the<br />

remainder is supplied with T-capacity. A desired reserve margin factor is used to ensure an<br />

adequate level of system reliability - neither too high nor too low.<br />

)XHOXVHDQGFDSDFLW\H[SDQVLRQ<br />

What type of capacity will be ordered? This is determined by the following allocation rules:<br />

• For K\GURSRZHU, capacity is exogenously prescribed on the basis of a desired fraction of the<br />

estimated technical hydropower potential in the region;<br />

max<br />

34 Demand is anticipated over a time horizon of TH years on the basis of a trend factor of the form (1+r) TH with r the annual<br />

growth rate in the past TH years.

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