Apparatus for producing precursor having concentration gradient and material injection scheduling method therefor
View Patent ↗The present invention relates to a material injection scheduling method for producing a precursor having a concentration gradient using an apparatus for producing a precursor having a concentration gradient mixing materials of a first feed tank and a second feed tank with each other in advance in a mixer and injecting the mixed material into a reactor.
1. A material injection scheduling method for producing a precursor having a concentration gradient using an apparatus for producing a precursor having a concentration gradient mixing a material of a first feed tank (Q 1 ) and a material of a second feed tank (Q 2 ) with each other in advance in a mixer (Q 3 ) to form a mixed material and injecting the mixed material into a reactor, the method comprising:
(a) transferring a predetermined amount of the material from Q 1 to Q 3 to be stored in Q 3 in advance;
(b) calculating a feed flow rate Q 3 by dividing a sum of a total amount of the material from Q 1 and a total amount of a material from Q 2 by a total process time (Tr);
(c) calculating a feed flow rate of the material from Q 1 during a total process time (Tr), using Equation 2 below;
the flow rate( FQ 1 t ) of the material from Q 1 for a given time interval=2×(total amount of material from Q 1−the predetermined amount of material from Q 1 stored in Q 3 in advance−amount of material from Q 1 injected prior to the given time interval)/(time required for feeding entire material from Q 1 feed tank( TQ 1)−time already taken for injection into Q 3) Equation 2
(d) calculating an optimal value of FQ 1 t for making a difference in FQ 1 t to be a constant by iteratively inputting an estimated value of FQ 1 t;
(e) correcting the feed flow rate of the material from Q 1 by redistributing a difference between the optimal value of FQ 1 t obtained in (d) and the flow rate (FQ 1 t ) for each time interval as calculated in (c), and the values of the difference are arranged to time in reverse order to be subtracted from the optimal value of FQ 1 t obtained in (d); and
(f) calculating a feed flow rate of the material from Q 2 by subtracting the feed flow rate of the material from Q 1 corrected in (e) from the feed flow rate of the material from Q 3 ,
(g) setting the feed flow rate of the material from Q 1 to be the feed flow rate calculated in (e) for supplying the material from Q 1 into Q 3 , and setting the feed flow rate of material from Q 2 to be the feed flow rate calculated in (f) for supplying the material from Q 2 into Q 3 so as to form a mixed material, and
(h) supplying the mixed material into a reactor wherein a co-precipitation reaction takes place.
2. The method of claim 1 , further comprising, between (b) and (c),
(bb) calculating a time taken for feeding the entire material from Q 1 in consideration of an amount of the material from Q 1 injected into Q 3 before mixing the material from Q 1 and the material from Q 2 with each other in Q 3 .
3. The method of claim 2 , further comprising between (c) and (e),
(cd) determining whether or not the difference in the feed flow rate of the material from Q 1 is the same between feeding steps other than between a first time interval and a second time internal and between a last time interval and a time interval just before the last time interval.
4. The method of claim 3 , wherein: if it is determined at (cd) that the difference in the feed flow rate of the material from Q 1 is not the same between time intervals other than between the first time interval and the second time interval and between the last time interval and the time interval just before the last time interval, (c) is performed again.
5. The method of claim 4 , further comprising, between (cd) and (e),
(cd1) adding individual values of the feed flow rate of the material from Q 1 for total process time calculated in (c); and
(cd2) determining whether or not the sum of the individual values of the feed flow rate of the material from Q 1 calculated in (cd1) is greater than a total amount of material to be injected from Q 1 into Q 3 during the total process time Tr.
6. The method of claim 1 , further comprising, between (e) and (f), (ee) determining whether or not a difference between the sum of the feed flow rates of the material from Q 1 and the total amount of the material to be injected from Q 1 into Q 3 is a predetermined value or less.
7. The method of claim 6 , wherein: if the difference between the sum of the feed flow rates of the material from Q 1 and the total amount of the material to be injected from Q 1 into Q 3 is not the predetermined value or less in (ee), (d) and (e) are performed again.
8. The method of claim 1 , wherein: the material from Q 1 is a mixed solution of nickel and cobalt, and the material from Q 2 is a mixed solution of nickel, cobalt, and manganese.