Composition including refrigerant, use thereof, refrigerator having same, and method for operating said refrigerator
AssigneeDaikin Industries, Ltd.
InventorsMitsushi ITANO, Daisuke KARUBE, Yuuki YOTSUMOTO, Shun OHKUBO, Tatsuya TAKAKUWA
Life of this patent
Estimating the term…
Abstract
An object of the present invention relates to a refrigerant composition that has three types of performance, i.e., a refrigerating capacity that is equivalent to or higher than that of R410A, a sufficiently low GWP, and a lower flammability (Class 2L) according to the ASHRAE standard. As a means for achieving the object, a composition comprising a refrigerant, the refrigerant comprising CO2, trans-1,2-difluoroethylene (HFO-1132(E)), difluoromethane (R32), and 2,3,3,3-tetrafluoro-l-propene (R1234yf), is provided.
Claims11
A composition comprising a refrigerant, the refrigerant comprising CO2, trans-1,2-difluoroethylene (HFO-1132(E)), difluoromethane (R32), and 2,3,3,3-tetrafluoro-l-propene (R1234yf), wherein
- when the mass % of CO2, R32, HFO-1132(E), and R1234yf based on their sum is respectively represented by w, x, y, and z;
- if 0<w≤1.2, coordinates (x,y,z) in a ternary composition diagram in which the sum of R32, HFO-1132(E), and R1234yf is (100-w) mass % are within the range of a figure surrounded by curves IJ, JK, and KL, and straight lines LB″, B″D, DC, and CI that connect the following 7 points:
- point I (0.0, 72.0, 28.0-w),
- point J (18.3, 48.5, 33.2-w),
- point K (36.8, 35.6, 27.6-w),
- point L (51.7, 28.9, 19.4-w),
- point B″ (−1.5278w2+2.75w+50.5, 0.0, 1.5278w2−3.75w+49.5),
- point D (−2.9167w+40.317, 0.0, 1.9167w+59.683), and
- point C (0.0, −4.9167w+58.317, 3.9167w+41.683), or on the above line segments (excluding points on the straight lines B″D and CI);
- if 1.2<w≤4.0, coordinates (x,y,z) in a ternary composition diagram are within the range of a figure surrounded by curves IJ, JK, and KL, and straight lines LB″, B″D, DC, and CI that connect the following 7 points:
- point I (0.0, 72.0, 28.0-w),
- point J (18.3, 48.5, 33.2-w),
- point K (36.8, 35.6, 27.6-w),
- point L (51.7, 28.9, 19.4-w),
- point B″ (51.6, 0.0, 48.4-w),
- point D (−2.8226w+40.211, 0.0, 1.8226w+59.789), and
- point C (0.0, 0.1081w2−5.169w+58.447, −0.1081w2+4.169w+41.553), or on the above line segments (excluding points on the straight lines B″D and CI);
- or
- if 4.0<w≤7.0, coordinates (x,y,z) in a ternary composition diagram are within the range of a figure surrounded by curves IJ, JK, and KL, and straight lines LB″, B″ D, DC, and CI that connect the following 7 points:
- point I (0.0, 72.0, 28.0-w),
- point J (18.3, 48.5, 33.2-w),
- point K (36.8, 35.6, 27.6-w),
- point L (51.7, 28.9, 19.4-w),
- point B″ (51.6, 0.0, 48.4-w),
- point D (−2.8w+40.1, 0.0, 1.8w+59.9), and
- point C (0.0, 0.0667w2−4.9667w+58.3, −0.0667w2+3.9667w+41.7), or on the above line segments (excluding points on the straight lines B″D and CI);
- the curve IJ is represented by coordinates (x, 0.0236x2−1.716x+72, −0.0236x2+0.716x+28-w),
- the curve JK is represented by coordinates (x, 0.0095x2−1.2222x+67.676, −0.0095x2+0.2222x+32.324-w), and
- the curve KL is represented by coordinates (x, 0.0049x2−0.8842x+61.488, −0.0049x2−0.1158x+38.512-w).
A composition comprising a refrigerant, the refrigerant comprising CO2, trans-1,2-difluoroethylene (HFO-1132(E)), difluoromethane (R32), and 2,3,3,3-tetrafluoro-l-propene (R1234yf), wherein
- when the mass % of CO2, R32, HFO-1132(E), and R1234yf based on their sum is respectively represented by w, x, y, and z;
- if 0<w≤1.2, coordinates (x,y,z) in a ternary composition diagram in which the sum of R32, HFO-1132(E), and R1234yf is (100-w) mass % are within the range of a figure surrounded by curves IJ and JK, and straight lines KF, FC, and CI that connect the following 5 points:
- point I (0.0, 72.0, 28.0-w),
- point J (18.3, 48.5, 33.2-w),
- point K (36.8, 35.6, 27.6-w),
- point F (−0.0833w+36.717, −4.0833w+5.1833, 3.1666w+58.0997), and
- point C (0.0, −4.9167w+58.317, 3.9167w+41.683), or on the above line segments (excluding points on the straight line CI);
- if 1.2<w≤1.3, coordinates (x,y,z) in a ternary composition diagram are within the range of a figure surrounded by curves IJ and JK, and straight lines KF, FC, and CI that connect the following 5 points:
- point I (0.0, 72.0, 28.0-w),
- point J (18.3, 48.5, 33.2-w),
- point K (36.8, 35.6, 27.6-w),
- point F (36.6, −3w+3.9, 2w+59.5), and
- point C (0.0, 0.1081w2−5.169w+58.447, −0.1081w2+4.169w+41.553), or on the above line segments (excluding points on the straight line CI);
- if 1.3<w≤4.0, coordinates (x,y,z) in a ternary composition diagram are within the range of a figure surrounded by curves IJ and JK, and straight lines KB′, B′D, DC, and CI that connect the following 6 points:
- point I (0.0, 72.0, 28.0-w),
- point J (18.3, 48.5, 33.2-w),
- point K (36.8, 35.6, 27.6-w),
- point B′ (36.6, 0.0, -w+63.4),
- point D (−2.8226w+40.211, 0.0, 1.8226w+59.789), and
- point C (0.0, 0.1081w2−5.169w+58.447, −0.1081w2+4.169w+41.553), or on the above line segments (excluding points on the straight line CI);
- or
- if 4.0<w≤7.0, coordinates (x,y,z) in a ternary composition diagram are within the range of a figure surrounded by curves IJ and JK, and straight lines KB′, B′D, DC, and CI that connect the following 6 points:
- point I (0.0, 72.0, 28.0-w),
- point J (18.3, 48.5, 33.2-w),
- point K (36.8, 35.6, 27.6-w),
- point B′ (36.6, 0.0, −w+63.4),
- point D (−2.8w+40.1, 0.0, 1.8w+59.9), and
- point C (0.0, 0.0667w2−4.9667w+58.3, −0.0667w2+3.9667w+41.7), or on the above line segments (excluding points on the straight line CI);
- the curve IJ is represented by coordinates (x, 0.0236x2−1.716x+72, −0.0236x2+0.716x+28-w);
- and
- the curve JK is represented by coordinates (x, 0.0095x2−1.2222x+67.676, −0.0095x2+0.2222x+32.324-w).
A composition comprising a refrigerant, the refrigerant comprising CO2, R32, HFO-1132(E), and R1234yf, wherein
- when the mass % of CO2, R32, HFO-1132(E), and R1234yf based on their sum is respectively represented by w, x, y, and z,
- if 0<≤1.2, coordinates (x,y,z) in a ternary composition diagram in which the sum of R32, HFO-1132(E), and R1234yf is (100-w) mass % are within the range of a figure surrounded by curves IJ and JK, and straight lines KF, FC, and CI that connect the following 4 points:
- point I (0.0, 72.0, 28.0-w),
- point J (18.3, 48.5, 33.2-w),
- point E (18.2, −1.1111w2−3.1667w+31.9, 1.1111w2+2.1667w+49.9), and
- point C (0.0, −4.9167w+58.317, 3.9167w+41.683), or on the above line segments (excluding points on the straight line CI);
- if 1.2<w≤4.0, coordinates (x,y,z) in a ternary composition diagram are within the range of a figure surrounded by curves IJ and JK, and straight lines KF, FC, and CI that connect the following 4 points:
- point I (0.0, 72.0, 28.0-w),
- point J (18.3, 48.5, 33.2-w),
- point E (−0.0365w+18.26, 0.0623w2−4.5381w+31.856, −0.0623w2+3.5746w+49.884), and
- point C (0.0, 0.1081w2−5.169w+58.447, −0.1081w2+4.169w+41.553), or on the above line segments (excluding points on the straight line CI);
- or
- if 4.0<w≤7.0, coordinates (x,y,z) in a ternary composition diagram are within the range of a figure surrounded by curves IJ and JK, and straight lines KF, FC, and CI that connect the following 4 points:
- point I (0.0, 72.0, 28.0-w),
- point J (18.3, 48.5, 33.2-w),
- point E (18.1, 0.0444w2−4.3556w+31.411, −0.0444w2+3.3556w+50.489), and
- point C (0.0, 0.0667w2−4.9667w+58.3, −0.0667w2+3.9667w+41.7), or on the above line segments (excluding points on the straight line CI), and
- the curve IJ is represented by coordinates (x, 0.0236x2−1.716x+72, −0.0236x2+0.716x+28-w).
A composition comprising a refrigerant, the refrigerant comprising CO2, R32, HFO-1132(E), and R1234yf, wherein
- when the mass % of CO2, R32, HFO-1132(E), and R1234yf based on their sum is respectively represented by w, x, y, and z,
- if 0<w≤0.6, coordinates (x,y,z) in a ternary composition diagram in which the sum of R32, HFO-1132(E), and R1234yf is (100-w) mass % are within the range of a figure surrounded by curves GO and OP, and straight lines PB″, B″D, and DG that connect the following 5 points:
- point G (−5.8333w2−3.1667w+22.2, 7.0833w2+1.4167w+26.2, −1.25w2+0.75w+51.6),
- point O (36.8, 0.8333w2+1.8333w+22.6, −0.8333w2−2.8333w+40.6),
- point P (51.7, 1.1111w2+20.5, −1.1111w2−w+27.8),
- point B″ (−1.5278w2+2.75w+50.5, 0.0, 1.5278w2−3.75w+49.5), and
- point D (−2.9167w+40.317, 0.0, 1.9167w+59.683), or on the above line segments (excluding points on the straight line B″D);
- if 0.6<w≤1.2, coordinates (x,y,z) in a ternary composition diagram are within the range of a figure surrounded by curves GN, NO, and OP, and straight lines PB″, B″D, and DG that connect the following 6 points:
- point G (−5.8333w2−3.1667w+22.2, 7.0833w2+1.4167w+26.2, −1.25w2+0.75w+51.6),
- point N (18.2, 0.2778w2+3w+27.7, −0.2778w2−4w+54.1),
- point O (36.8, 0.8333w2+1.8333w+22.6, −0.8333w2−2.8333w+40.6),
- point P (51.7, 1.1111w2+20.5, −1.1111w2−w+27.8),
- point B″ (−1.5278w2+2.75w+50.5, 0.0, 1.5278w2−3.75w+49.5), and
- point D (−2.9167w+40.317, 0.0, 1.9167w+59.683), or on the above line segments (excluding points on the straight line B″D);
- if 0<w≤0.6, the curve GO is represented by coordinates (x, (0.00487w2−0.0059w+0.0072)x2+(−0.279w2+0.2844w−0.6701)x+3.7639w2−0.2467w+37.512, 100-w-x-y);
- if 0.6<w≤1.2, the curve GN is represented by coordinates (x, (0.0122w2≤0.0113w+0.0313)x2+(−0.3582w2+0.1624w−1.4551)x+2.7889w2+3.7417w+43 .824 , 100-w-x-y);
- if 0.6<w≤1.2, the curve NO is represented by coordinates (x, (0.00487w2−0.0059w+0.0072)x2+(−0.279w2+0.2844w−0.6701)x+3.7639w2−0.2467w+37.512, 100-w-x-y);
- if 0<w≤1.2, the curve OP is represented by coordinates (x, (0.0074w2−0.0133w+0.0064)x2+(−0.5839w2+1.0268w−0.7103)x+11.472w2−17.455w+40.07, 100-w-x-y);
- if 1.2<w≤4.0, coordinates (x,y,z) in a ternary composition diagram are within the range of a figure surrounded by curves MW, WN, NO, and OP, and straight lines PB″, B″D, DC, and CM that connect the following 8 points:
- point M (0.0, −0.3004w2+2.419w+55.53, 0.3004w2−3.419w+44.47),
- point W (10.0, −0.3645w2+3.5024w+34.422, 0.3645w2−4.5024w+55.578),
- point N (18.2, −0.3773w2+3.319w+28.26, 0.3773w2−4.319w+53.54),
- point O (36.8, −0.1392w2+1.4381w+24.475, 0.1392w2−2.4381w+38.725),
- point P (51.7, −0.2381w2+1.881w+20.186, 0.2381w2−2.881w+28.114),
- point B″ (51.6, 0.0, −w+48.4),
- point D (−2.8226w+40.211, 0.0, 1.8226w+59.789), and
- point C (0.0, 0.1081w2−5.169w+58.447, −0.1081w2+4.169w+41.553), or on the above line segments (excluding points on the straight lines B″D and CM);
- the curve MW is represented by coordinates (x, (0.0043w2−0.0359w+0.1509)x2+(−0.0493w2+0.4669w−3.6193)x−0.3004w2+2.419w+55.53, 100-w-x-y),
- the curve WN is represented by coordinates (x, (0.0055w2−0.0326w+0.0665)x2+(−0.1571w2+0.8981w−2.6274)x+0.6555w2−2.2153w+54.044, 100-w-x-y),
- the curve NO is represented by coordinates (x, (−0.00062w2+0.0036w+0.0037)x2+(0.0375w2−0.239w−0.4977)x−0.8575w2+6.4941w+36.078, 100-w-x-y), and
- the curve OP is represented by coordinates (x, (−0.000463w2+0.0024w−0.0011)x2+(0.0457w2−0.2581w−0.075)x−1.355w2+8.749w+27.096, 100-w-x-y);
- or if 4.0<w≤7.0, coordinates (x,y,z) in a ternary composition diagram are within the range of a figure surrounded by curves MW, WN, NO, and OP, and straight lines PB″, B″D, DC, and CM that connect the following 8 points:
- point M (0.0, −0.0667w2+0.8333w+58.133, 0.0667w2−1.8333w+41.867),
- point W (10.0, −0.0667w2+1.1w+39.267, 0.0667w2−2.1w+50.733),
- point N (18.2, −0.0889w2+1.3778w+31.411, 0.0889w2−2.3778w+50.389),
- point O (36.8, −0.0444w2+0.6889w+25.956, 0.0444w2−1.6889w+37.244),
- point P (51.7, −0.0667w2+0.8333w+21.633, 0.0667w2−1.8333w+26.667),
- point B″ (51.6, 0.0, -w+48.4),
- point D (−2.8w+40.1, 0.0, 1.8w+59.9), and
- point C (0.0, 0.0667w2−4.9667w+58.3, −0.0667w2+3.9667w+41.7), or on the above line segments (excluding points on the straight lines B″D and CM);
- the curve MW is represented by coordinates (x, (0.00357w2−0.0391w+0.1756)x2+(−0.0356w2+0.4178w−3.6422)x−0.0667w2+0.8333w+58.103, 100-w-x-y),
- the curve WN is represented by coordinates (x, (−0.002061w2+0.0218w−0.0301)x2+(0.0556w2−0.5821w−0.1108)x−0.4158w2+4.7352w+43.383, 100-w-x-y),
- the curve NO is represented by coordinates (x, 0.0082x2+(0.0022w2−0.0345w−0.7521)x−0.1307w2+2.0247w+42.327, 100-w-x-y), and
- the curve OP is represented by coordinates (x, (−0.0006258w2+0.0066w−0.0153)x2+(0.0516w2−0.5478w+0.9894)x−1.074w2+11.651w+10.992, 100-w-x-y).
A composition comprising a refrigerant, the refrigerant comprising CO2, R32, HFO-1132(E), and R1234yf, wherein
- when the mass % of CO2, R32, HFO-1132(E), and R1234yf based on their sum is respectively represented by w, x, y, and z,
- if 0<w≤0.6, coordinates (x,y,z) in a ternary composition diagram in which the sum of R32, HFO-1132(E), and R1234yf is (100-w) mass % are within the range of a figure surrounded by a curve GO, and straight lines OF and FG that connect the following 3 points:
- point G (−5.8333w2−3.1667w+22.2, 7.0833w2+1.4167w+26.2, −1.25w2+0.75w+51.6),
- point O (36.8, 0.8333w2+1.8333w+22.6, −0.8333w2−2.8333w+40.6), and
- point F (−0.0833w+36.717, −4.0833w+5.1833, 3.1666w+58.0997), or the above line segments;
- the curve GO is represented by coordinates (x, (0.00487w2−0.0059w+0.0072)x2+(−0.279w2+0.2844w−0.6701)x+3.7639w2−0.2467w+37.512, 100-w-x-y);
- if 0.6<w≤1.2, coordinates (x,y,z) in a ternary composition diagram are within the range of a figure surrounded by curves GN and NO, and straight lines OF and FG that connect the following 4 points:
- point G (−5.8333w2−3.1667w+22.2, 7.0833w2+1.4167w+26.2, −1.25w2+0.75w+51.6),
- point N (18.2, 0.2778w2+3.0w+27.7, −0.2.778w2−4.0w+54.1),
- point O (36.8, 0.8333w2+1.8333w+22.6, −0.8333w2−2.8333w+40.6), and
- point F (−0.0833w+36.717, −4.0833w+5.1833, 3.1666w+58.0997), or on the above line segments;
- if 0.6<w≤1.2, the curve GN is represented by coordinates (x, (0.0122w2−0.0113w+0.0313)x2+(−0.3582w2+0.1624w−1.4551)x+2.7889w2+3.7417w+43.824, 100-w-x-y);
- if 0.6<w≤1.2, the curve NO is represented by coordinates (x, (0.00487w2−0.0059w+0.0072)x2+(−0.279w2+0.2844w−0.6701)x+3.7639w2−0.2467w+37.512, 100-w-x-y);
- if 1.2<w≤1.3, coordinates (x,y,z) in a ternary composition diagram are within the range of a figure surrounded by curves MW, WN, and NO, and straight lines OF, FC, and CM that connect the following 6 points:
- point M (0.0, −0.3004w2+2.419w+55.53, 0.3004w2−3.419w+44.47),
- point W (10.0, −0.3645w2+3.5024w+34.422, 0.3645w2−4.5024w+55.578),
- point N (18.2, −0.3773w2+3.319w+28.26, 0.3773w2−4.319w+53.54),
- point O (36.8, −0.1392w2+1.4381w+24.475, 0.1392w2−2.4381w+38.725),
- point F (36.6, −3w+3.9, 2w+59.5), and
- point C (0.0, 0.1081w2−5.169w+58.447, −0.1081w2+4.169w+41.553), or on the above line segments (excluding points on the straight line CM);
- the curve MW is represented by coordinates (x, (0.0043w2−0.0359w+0.1509)x2+(−0.0493w2+0.4669w−3.6193)x−0.3004w2+2.419w+55.53, 100-w-x-y),
- the curve WN is represented by coordinates (x, (0.0055w2−0.0326w+0.0665)x2+(−0.1571w2+0.8981w−2.6274)x+0.6555w2−2.2153w+54.044, 100-w-x-y), and
- the curve NO is represented by coordinates (x, (−0.00062w2+0.0036w+0.0037)x2+(0.0375w2−0.239w−0.4977)x−0.8575w2+6.4941w+36.078, 100-w-x-y);
- if 1.3<w≤4.0, coordinates (x,y,z) in a ternary composition diagram are within the range of a figure surrounded by curves MW, WN, and NO, and straight lines OB′, B′D, DC, and CM that connect the following 7 points:
- point M (0.0, −0.3004w2+2.419w+55.53, 0.3004w2−3.419w+44.47),
- point W (10.0, −0.3645w2+3.5024w+34.422, 0.3645w2−4.5024w+55.578),
- point N (18.2, −0.3773w2+3.319w+28.26, 0.3773w2−4.319w+53.54),
- point O (36.8, −0.1392w2+1.4381w+24.475, 0.1392w2−2.4381w+38.725),
- point B′ (36.6, 0.0, -w+63.4),
- point D (−2.8226w+40.211, 0.0, 1.8226w+59.789), and
- point C (0.0, 0.1081w2−5.169w+58.447, −0.1081w2+4.169w+41.553), or on the above line segments (excluding points on the straight line CM);
- the curve MW is represented by coordinates (x, (0.0043w2−0.0359w+0.1509)x2+(−0.0493w2+0.4669w−3.6193)x−0.3004w2+2.419w+55.53, 100-w-x-y),
- the curve WN is represented by coordinates (x, (0.0055w2−0.0326w+0.0665)x2+(−0.1571w2+0.8981w−2.6274)x+0.6555w2−2.2153w+54.044, 100-w-x-y), and
- the curve NO is represented by coordinates (x, (−0.00062w2+0.0036w+0.0037)x2+(0.0375w2−0.239w−0.4977)x+(−0.8575w2+6.4941w+36.078), 100-w-x-y);
- or
- if 4.0<w≤7.0, coordinates (x,y,z) in a ternary composition diagram are within the range of a figure surrounded by curves MW, WN, and NO, and straight lines OB′, B′D, DC, and CM that connect the following 7 points:
- point M (0.0, −0.0667w2+0.8333w+58.133, 0.0667w2−1.8333w+41.867),
- point W (10.0, −0.0667w2+1.1w+39.267, 0.0667w2−2.1w+50.733),
- point N (18. 2, −0.0889w2+1.3778w+31.411, 0.0889w2−2.3778w+50.389),
- point O (36.8, −0.0444w2+0.6889w+25.956, 0.0444w2−1.6889w+37.244),
- point B′ (36.6, 0.0, −w+63.4),
- point D (−2.8w+40. 1, 0.0, 1.8w+59.9), and
- point C (0.0, 0.0667w2−4.9667w+58.3, −0.0667w2+3.9667w+41.7), or on the above line segments (excluding points on the straight line CM);
- the curve MW is represented by coordinates (x, (0.00357w2−0.0391w+0.1756)x2+(−0.0356w2+0.4178w−3.6422)x−0.0667w2+0.8333w+58.103, 100-w-x-y),
- the curve WN is represented by coordinates (x, (−0.002061w2+0.0218w−0.0301)x2+(0.0556w2−0.5821w−0.1108)x−0.4158w2+4.7352w+43.383, 100-w-x-y), and
- the curve NO is represented by coordinates (x, (0.0082x2+(0.0022w2−0.0345w−0.7521)x−0.1307w2+2.0247w+42.327, 100-w-x-y).
A composition comprising a refrigerant, the refrigerant comprising CO2, R32, HFO-1132(E), and R1234yf, wherein
- when the mass % of CO2, R32, HFO-1132(E), and R1234yf based on their sum is respectively represented by w, x, y, and z,
- if 1.2<w≤4.0, coordinates (x,y,z) in a ternary composition diagram in which the sum of R32, HFO-1132(E), and R1234yf is (100-w) mass % are within the range of a figure surrounded by curves MW and WN, and straight lines NE, EC, and CM that connect the following 5 points:
- point M (0.0, −0.3004w2+2.419w+55.53, 0.3004w2−3.419w+44.47),
- point W (10.0, −0.3645w2+3.5024w+34.422, 0.3645w2−4.5024w+55.578),
- point N (18.2, −0.3773w2+3.319w+28.26, 0.3773w2−4.319w+53.54),
- point E (−0.0365w+18.26, 0.0623w2−4.5381w+31.856, −0.0623w2+3.5746w+49.884), and
- point C (0.0, 0.1081w2−5.169w+58.447, −0.1081w2+4.169w+41.553), or on the above line segments (excluding points on the straight line CM);
- the curve MW is represented by coordinates (x, (0.0043w2−0.0359w+0.1509)x2+(−0.0493w2+0.4669w−3.6193)x−0.3004w2+2.419w+55.53, 100-w-x-y), and the curve WN is represented by coordinates (x, (0.0055w2−0.0326w+0.0665)x2+(−0.1571w2+0.8981w−2.6274)x+0.6555w2−2.2153w+54.044, 100-w-x-y);
- or
- if 4.0<w≤7.0, coordinates (x,y,z) in a ternary composition diagram are within the range of a figure surrounded by curves MW and WN, and straight lines NE, EC, and CM that connect the following 5 points:
- point M (0.0, −0.0667w2+0.8333w+58.133, 0.0667w2−1.8333w+41.867),
- point W (10.0, −0.0667w2+1.1w+39.267, 0.0667w2−2.1w+50.733),
- point N (18.2, −0.0889w2+1.3778w+31.411, 0.0889w2−2.3778w+50.389),
- point E (18.1, 0.0444w2−4.3556w+31.411, −0.0444w2+3.3556w+50.489), and
- point C (0.0, 0.0667w2−4.9667w+58.3, −0.0667w2+3.9667w+41.7), or on the above line segments (excluding points on the straight line CM);
- the curve MW is represented by coordinates (x, (0.00357w2−0.0391w+0.1756)x2+(−0.0356w2+0.4178w−3.6422)x−0.0667w2+0.8333w+58.103, 100-w-x-y), and
- the curve WN is represented by coordinates (x, (−0.002061w2+0.0218w−0.0301)x2+(0.0556w2−0.5821w−0.1108)x−0.4158w2+4.7352w+43.383, 100-w-x-y).
Dependencies are inferred from the claim text.