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The relevance of energy storages for an autarky of electricity supply ...

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5.4 Derived daily storage dem<strong>an</strong>d<br />

<strong>The</strong> main visualisations <strong>for</strong> the following explainations are Figure 5.1: Annual<br />

<strong>electricity</strong> dem<strong>an</strong>d 2050, Const<strong>an</strong>t scenario, Figure 5.2: Annual <strong>electricity</strong> dem<strong>an</strong>d<br />

2050, Growth scenario, Table 5.3: Daily storage dem<strong>an</strong>d 2050 – Const<strong>an</strong>t scenario<br />

<strong>an</strong>d Table 5.4: Daily storage dem<strong>an</strong>d 2050 – Growth scenario. All detailed<br />

calculations <strong>an</strong>d graphs are included in appendix.<br />

Daily storage is not needed in winter months, as <strong>electricity</strong> dem<strong>an</strong>d is higher th<strong>an</strong><br />

<strong>electricity</strong> production over the course <strong>of</strong> the whole day. <strong>The</strong>r<strong>for</strong>e the difference<br />

between dem<strong>an</strong>d <strong>an</strong>d <strong>supply</strong> is is taken out <strong>of</strong> <strong>an</strong>nual storage during these months. To<br />

be able to feed into daily <strong>energy</strong> storage during the course <strong>of</strong> one day (QSTO-Din),<br />

daily electriciy <strong>supply</strong> (QRES-Ed) has to exceed daily <strong>electricity</strong> dem<strong>an</strong>d (QDd); see<br />

Equation (19).<br />

(19) If QRES-Ed > QDd (1+lg) à QSTO-Din<br />

During the summer months, from April until September more <strong>electricity</strong> is produced<br />

th<strong>an</strong> consumed. <strong>The</strong>re<strong>for</strong>e, over<strong>supply</strong> occurs <strong>an</strong>d <strong>energy</strong> is fed into <strong>an</strong>nual storage.<br />

However, a small amount has to be stored in daily storage <strong>for</strong> the evening, when<br />

dem<strong>an</strong>d is higher th<strong>an</strong> <strong>supply</strong> (approx. 6.00 pm – approx. 1.00 am), which is due to a<br />

lack <strong>of</strong> <strong>electricity</strong> from PV.<br />

To calculate the exact amount <strong>of</strong> <strong>electricity</strong> needed from daily storage during the<br />

course <strong>of</strong> a day (QSTO-Dout), hourly <strong>electricity</strong> dem<strong>an</strong>d (QDh) <strong>an</strong>d <strong>supply</strong> (QRES-Eh) are<br />

compared. Every time dem<strong>an</strong>d exceeds <strong>supply</strong>, <strong>electricity</strong> is taken out <strong>of</strong> daily<br />

<strong>energy</strong> storage – see Equation (20). <strong>The</strong> total daily <strong>electricity</strong> dem<strong>an</strong>d from <strong>energy</strong><br />

storage (QSTO-Dout) is calculated by adding up hourly values (QSTO-Hout) – see<br />

Equation (21), where dem<strong>an</strong>d (QDh) exceeds <strong>supply</strong> (QRES-Eh) – see Equation (22).<br />

(20) If QDh (1+lg) > QRES-Eh à QSTO-Dout<br />

(21) QSTO-Dout = [QSTO-Hout] 1 + [QSTO-Hout] 2 + [QSTO-Hout] 3 + [QSTO-Hout] n<br />

(22) QSTO-Hout = QDh (1+lg) – QRES-Eh<br />

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