Тепловая схема электродвигателя¶
В данном примере демонстрируется, как можно смоделировать тепловое состояние бесщеточного двигателя с использованием модели с сосредоточенными параметрами. Тепло, выделяющееся из-за потерь мощности в статоре, обмотке и роторе, представлено тремя источниками теплового потока: тепловыделение в статоре (Q Статора), тепловыделение обмотки (Q Обмотки) и тепловыделение ротора из-за потерь на намагничивание и вихревые токи (Q Ротора). Потери были зафиксированы во время моделирования типичного цикла работы электродвигателя и сохранены в блоках Repeating table. Тепловой контур двигателя состоит из теплопроводящих элементов, тепловых масс и конвективных блоков теплопередачи, которые воспроизводят пути распространения тепла в деталях: обмотке, статоре, корпусе, роторе, передней и задней опорах подшипников и фланце. Двигатель обменивается теплом с атмосферой через контакты корпус-атмосфера, фланец-атмосфера и подшипник 1 -атмосфера. Имитируются условия окружающей среды с помощью источника идеальной температуры, установленного на 300 К.
Определение функции для загрузки и запуска модели:¶
Out[0]:
start_model_engee (generic function with 1 method)
Запись из simout в переменные сигналов о температурах и тепловых потоках:
Визуализация результатов моделирования¶
Блоки, использованные в примере¶
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24.43, 24.5, 24.57, 24.64, 24.71, 24.78, 24.85, 24.92, 24.99, 25.06, 25.13, 25.2, 25.27, 25.34, 25.41, 25.48, 25.55, 25.62, 25.69, 25.76, 25.83, 25.9, 25.97, 26.04, 26.11, 26.18, 26.25, 26.32, 26.39, 26.46, 26.53, 26.6, 26.67, 26.74, 26.81, 26.88, 26.95, 27.02, 27.09, 27.16, 27.23, 27.3, 27.37, 27.44, 27.51, 27.58, 27.65, 27.72, 27.79, 27.86, 27.93, 28, 28.07, 28.14, 28.21, 28.28, 28.35, 28.42, 28.49, 28.56, 28.63, 28.7, 28.77, 28.84, 28.91, 28.98, 29.05, 29.12, 29.19, 29.26, 29.33, 29.4, 29.47, 29.54, 29.61, 29.68, 29.75, 29.82, 29.89, 29.96, 30.03, 30.1, 30.17, 30.24, 30.31, 30.38, 30.45, 30.52, 30.59, 30.66, 30.73, 30.8, 30.87, 30.94, 31.01, 31.08, 31.15, 31.22, 31.29, 31.36, 31.43, 31.5, 31.57, 31.64, 31.71, 31.78, 31.85, 31.92, 31.99, 32.06, 32.13, 32.2, 32.27, 32.34, 32.41, 32.48, 32.55, 32.62, 32.69, 32.76, 32.83, 32.9, 32.97, 33.04, 33.11, 33.18, 33.25, 33.32, 33.39, 33.46, 33.53, 33.6, 33.67, 33.74, 33.81, 33.88, 33.95, 34.02, 34.09, 34.16, 34.23, 34.3, 34.37, 34.44, 34.51, 34.58, 34.65, 34.72, 34.79, 34.86, 34.93, 35, 35.07, 35.14, 35.21, 35.28, 35.35, 35.42, 35.49, 35.56, 35.63, 35.7, 35.77, 35.84, 35.91, 35.98, 36.05, 36.12, 36.19, 36.26, 36.33, 36.4, 36.47, 36.54, 36.61, 36.68, 36.75, 36.82, 36.89, 36.96, 37.03, 37.1, 37.17, 37.24, 37.31, 37.38, 37.45, 37.52, 37.59, 37.66, 37.73, 37.8, 37.87, 37.94, 38.01, 38.08, 38.15, 38.22, 38.29, 38.36, 38.43, 38.5, 38.57, 38.64, 38.71, 38.78, 38.85, 38.92, 38.99, 39.06, 39.13, 39.2, 39.27, 39.34, 39.41, 39.48, 39.55, 39.62, 39.69, 39.76, 39.83, 39.9, 39.97, 40.04, 40.11, 40.18, 40.25, 40.32, 40.39, 40.46, 40.53, 40.6, 40.67, 40.74, 40.81, 40.88, 40.95, 41.02, 41.09, 41.16, 41.23, 41.3, 41.37, 41.44, 41.51, 41.58, 41.65, 41.72, 41.79, 41.86, 41.93, 42, 42.07, 42.14, 42.21, 42.28, 42.35, 42.42, 42.49, 42.56, 42.63, 42.7, 42.77, 42.84, 42.91, 42.98, 43.05, 43.12, 43.19, 43.26, 43.33, 43.4, 43.47, 43.54, 43.61, 43.68, 43.75, 43.82, 43.89, 43.96, 44.03, 44.1, 44.17, 44.24, 44.31, 44.38, 44.45, 44.52, 44.59, 44.66, 44.73, 44.8, 44.87, 44.94, 45.01, 45.08, 45.15, 45.22, 45.29, 45.36, 45.43, 45.5, 45.57, 45.64, 45.71, 45.78, 45.85, 45.92, 45.99, 46.06, 46.13, 46.2, 46.27, 46.34, 46.41, 46.48, 46.55, 46.62, 46.69, 46.76, 46.83, 46.9, 46.97, 47.04, 47.11, 47.18, 47.25, 47.32, 47.39, 47.46, 47.53, 47.6, 47.67, 47.74, 47.81, 47.88, 47.95, 48.02, 48.09, 48.16, 48.23, 48.3, 48.37, 48.44, 48.51, 48.58, 48.65, 48.72, 48.79, 48.86, 48.93, 49, 49.07, 49.14, 49.21, 49.28, 49.35, 49.42, 49.49, 49.56, 49.63, 49.7, 49.77, 49.84, 49.91, 49.98, 50.05, 50.12, 50.19, 50.26, 50.33, 50.4, 50.47, 50.54, 50.61, 50.68, 50.75, 50.82, 50.89, 50.96, 51.03, 51.1, 51.17, 51.24, 51.31, 51.38, 51.45, 51.52, 51.59, 51.66, 51.73, 51.8, 51.87, 51.94, 52.01, 52.08, 52.15, 52.22, 52.29, 52.36, 52.43, 52.5, 52.57, 52.64, 52.71, 52.78, 52.85, 52.92, 52.99, 53.06, 53.13, 53.2, 53.27, 53.34, 53.41, 53.48, 53.55, 53.62, 53.69, 53.76, 53.83, 53.9, 53.97, 54.04, 54.11, 54.18, 54.25, 54.32, 54.39, 54.46, 54.53, 54.6, 54.67, 54.74, 54.81, 54.88, 54.95, 55.02, 55.09, 55.16, 55.23, 55.3, 55.37, 55.44, 55.51, 55.58, 55.65, 55.72, 55.79, 55.86, 55.93, 56, 56.07, 56.14, 56.21, 56.28, 56.35, 56.42, 56.49, 56.56, 56.63, 56.7, 56.77, 56.84, 56.91, 56.98, 57.05, 57.12, 57.19, 57.26, 57.33, 57.4, 57.47, 57.54, 57.61, 57.68, 57.75, 57.82, 57.89, 57.96, 58.03, 58.1, 58.17, 58.24, 58.31, 58.38, 58.45, 58.52, 58.59, 58.66, 58.73, 58.8, 58.87, 58.94, 59.01, 59.08, 59.15, 59.22, 59.29, 59.36, 59.43, 59.5, 59.57, 59.64, 59.71, 59.78, 59.85, 59.92, 59.99, 60.06, 60.13, 60.2, 60.27, 60.34, 60.41, 60.48, 60.55, 60.62, 60.69, 60.76, 60.83, 60.9, 60.97, 61.04, 61.11, 61.18, 61.25, 61.32, 61.39, 61.46, 61.53, 61.6, 61.67, 61.74, 61.81, 61.88, 61.95, 62.02, 62.09, 62.16, 62.23, 62.3, 62.37, 62.44, 62.51, 62.58, 62.65, 62.72, 62.79, 62.86, 62.93, 63, 63.07, 63.14, 63.21, 63.28, 63.35, 63.42, 63.49, 63.56, 63.63, 63.7, 63.77, 63.84, 63.91, 63.98, 64.05, 64.12, 64.19, 64.26, 64.33, 64.4, 64.47, 64.54, 64.61, 64.68, 64.75, 64.82, 64.89, 64.96, 65.03, 65.1, 65.17, 65.24, 65.31, 65.38, 65.45, 65.52, 65.59, 65.66, 65.73, 65.8, 65.87, 65.94, 66.01, 66.08, 66.15, 66.22, 66.29, 66.36, 66.43, 66.5, 66.57, 66.64, 66.71, 66.78, 66.85, 66.92, 66.99, 67.06, 67.13, 67.2, 67.27, 67.34, 67.41, 67.48, 67.55, 67.62, 67.69, 67.76, 67.83, 67.9, 67.97, 68.04, 68.11, 68.18, 68.25, 68.32, 68.39, 68.46, 68.53, 68.6, 68.67, 68.74, 68.81, 68.88, 68.95, 69.02, 69.09, 69.16, 69.23, 69.3, 69.37, 69.44, 69.51, 69.58, 69.65, 69.72, 69.79, 69.86, 69.93, 70, 70.07, 70.14, 70.21, 70.28, 70.35, 70.42, 70.49, 70.56, 70.63, 70.7, 70.77, 70.84, 70.91, 70.98, 71.05, 71.12, 71.19, 71.26, 71.33, 71.4, 71.47, 71.54, 71.61, 71.68, 71.75, 71.82, 71.89, 71.96, 72.03, 72.1, 72.17, 72.24, 72.31, 72.38, 72.45, 72.52, 72.59, 72.66, 72.73, 72.8, 72.87, 72.94, 73.01, 73.08, 73.15, 73.22, 73.29, 73.36, 73.43, 73.5, 73.57, 73.64, 73.71, 73.78, 73.85, 73.92, 73.99, 74.06, 74.13, 74.2, 74.27, 74.34, 74.41, 74.48, 74.55, 74.62, 74.69, 74.76, 74.83, 74.9, 74.97, 75.04, 75.11, 75.18, 75.25, 75.32, 75.39, 75.46, 75.53, 75.6, 75.67, 75.74, 75.81, 75.88, 75.95, 76.02, 76.09, 76.16, 76.23, 76.3, 76.37, 76.44, 76.51, 76.58, 76.65, 76.72, 76.79, 76.86, 76.93, 77, 77.07, 77.14, 77.21, 77.28, 77.35, 77.42, 77.49, 77.56, 77.63, 77.7, 77.77, 77.84, 77.91, 77.98, 78.05, 78.12, 78.19, 78.26, 78.33, 78.4, 78.47, 78.54, 78.61, 78.68, 78.75, 78.82, 78.89, 78.96, 79.03, 79.1, 79.17, 79.24, 79.31, 79.38, 79.45, 79.52, 79.59, 79.66, 79.73, 79.8, 79.87, 79.94, 80.01, 80.08, 80.15, 80.22, 80.29, 80.36, 80.43, 80.5, 80.57, 80.64, 80.71, 80.78, 80.85, 80.92, 80.99, 81.06, 81.13, 81.2, 81.27, 81.34, 81.41, 81.48, 81.55, 81.62, 81.69, 81.76, 81.83, 81.9, 81.97, 82.04, 82.11, 82.18, 82.25, 82.32, 82.39, 82.46, 82.53, 82.6, 82.67, 82.74, 82.81, 82.88, 82.95, 83.02, 83.09, 83.16, 83.23, 83.3, 83.37, 83.44, 83.51, 83.58, 83.65, 83.72, 83.79, 83.86, 83.93, 84, 84.07, 84.14, 84.21, 84.28, 84.35, 84.42, 84.49, 84.56, 84.63, 84.7, 84.77, 84.84, 84.91, 84.98, 85.05, 85.12, 85.19, 85.26, 85.33, 85.4, 85.47, 85.54, 85.61, 85.68, 85.75, 85.82, 85.89, 85.96, 86.03, 86.1, 86.17, 86.24, 86.31, 86.38, 86.45, 86.52, 86.59, 86.66, 86.73, 86.8, 86.87, 86.94, 87.01, 87.08, 87.15, 87.22, 87.29, 87.36, 87.43, 87.5, 87.57, 87.64, 87.71, 87.78, 87.85, 87.92, 87.99, 88.06, 88.13, 88.2, 88.27, 88.34, 88.41, 88.48, 88.55, 88.62, 88.69, 88.76, 88.83, 88.9, 88.97, 89.04, 89.11, 89.18, 89.25, 89.32, 89.39, 89.46, 89.53, 89.6, 89.67, 89.74, 89.81, 89.88, 89.95, 90.02, 90.09, 90.16, 90.23, 90.3, 90.37, 90.44, 90.51, 90.58, 90.65, 90.72, 90.79, 90.86, 90.93, 91, 91.07, 91.14, 91.21, 91.28, 91.35, 91.42, 91.49, 91.56, 91.63, 91.7, 91.77, 91.84, 91.91, 91.98, 92.05, 92.12, 92.19, 92.26, 92.33, 92.4, 92.47, 92.54, 92.61, 92.68, 92.75, 92.82, 92.89, 92.96, 93.03, 93.1, 93.17, 93.24, 93.31, 93.38, 93.45, 93.52, 93.59, 93.66, 93.73, 93.8, 93.87, 93.94, 94.01, 94.08, 94.15, 94.22, 94.29, 94.36, 94.43, 94.5, 94.57, 94.64, 94.71, 94.78, 94.85, 94.92, 94.99, 95.06, 95.13, 95.2, 95.27, 95.34, 95.41, 95.48, 95.55, 95.62, 95.69, 95.76, 95.83, 95.9, 95.97, 96.04, 96.11, 96.18, 96.25, 96.32, 96.39, 96.46, 96.53, 96.6, 96.67, 96.74, 96.81, 96.88, 96.95, 97.02, 97.09, 97.16, 97.23, 97.3, 97.37, 97.44, 97.51, 97.58, 97.65, 97.72, 97.79, 97.86, 97.93, 98, 98.07, 98.14, 98.21, 98.28, 98.35, 98.42, 98.49, 98.56, 98.63, 98.7, 98.77, 98.84, 98.91, 98.98, 99.05, 99.12, 99.19, 99.26, 99.33, 99.4, 99.47, 99.54, 99.61, 99.68, 99.75, 99.82, 99.89, 99.96, 100.03, 100.1, 100.17, 100.24, 100.31, 100.38, 100.45, 100.52, 100.59, 100.66, 100.73, 100.8, 100.87, 100.94, 101.01, 101.08, 101.15, 101.22, 101.29, 101.36, 101.43, 101.5, 101.57, 101.64, 101.71, 101.78, 101.85, 101.92, 101.99, 102.06, 102.13, 102.2, 102.27, 102.34, 102.41, 102.48, 102.55, 102.62, 102.69, 102.76, 102.83, 102.9, 102.97, 103.04, 103.11, 103.18, 103.25, 103.32, 103.39, 103.46, 103.53, 103.6, 103.67, 103.74, 103.81, 103.88, 103.95, 104.02, 104.09, 104.16, 104.23, 104.3, 104.37, 104.44, 104.51, 104.58, 104.65, 104.72, 104.79, 104.86, 104.93, 105, 105.07, 105.14, 105.21, 105.28, 105.35, 105.42, 105.49, 105.56, 105.63, 105.7, 105.77, 105.84, 105.91, 105.98, 106.05, 106.12, 106.19, 106.26, 106.33, 106.4, 106.47, 106.54, 106.61, 106.68, 106.75, 106.82, 106.89, 106.96, 107.03, 107.1, 107.17, 107.24, 107.31, 107.38, 107.45, 107.52, 107.59, 107.66, 107.73, 107.8, 107.87, 107.94, 108.01, 108.08, 108.15, 108.22, 108.29, 108.36, 108.43, 108.5, 108.57, 108.64, 108.71, 108.78, 108.85, 108.92, 108.99, 109.06, 109.13, 109.2, 109.27, 109.34, 109.41, 109.48, 109.55, 109.62, 109.69, 109.76, 109.83, 109.9, 109.97, 110.04, 110.11, 110.18, 110.25, 110.32, 110.39, 110.46, 110.53, 110.6, 110.67, 110.74, 110.81, 110.88, 110.95, 111.02, 111.09, 111.16, 111.23, 111.3, 111.37, 111.44, 111.51, 111.58, 111.65, 111.72, 111.79, 111.86, 111.93, 112, 112.07, 112.14, 112.21, 112.28, 112.35, 112.42, 112.49, 112.56, 112.63, 112.7, 112.77, 112.84, 112.91, 112.98, 113.05, 113.12, 113.19, 113.26, 113.33, 113.4, 113.47, 113.54, 113.61, 113.68, 113.75, 113.82, 113.89, 113.96, 114.03, 114.1, 114.17, 114.24, 114.31, 114.38, 114.45, 114.52, 114.59, 114.66, 114.73, 114.8, 114.87, 114.94, 115.01, 115.08, 115.15, 115.22, 115.29, 115.36, 115.43, 115.5, 115.57, 115.64, 115.71, 115.78, 115.85, 115.92, 115.99, 116.06, 116.13, 116.2, 116.27, 116.34, 116.41, 116.48, 116.55, 116.62, 116.69, 116.76, 116.83, 116.9, 116.97, 117.04, 117.11, 117.18, 117.25, 117.32, 117.39, 117.46, 117.53, 117.6, 117.67, 117.74, 117.81, 117.88, 117.95, 118.02, 118.09, 118.16, 118.23, 118.3, 118.37, 118.44, 118.51, 118.58, 118.65, 118.72, 118.79, 118.86, 118.93, 119, 119.07, 119.14, 119.21, 119.28, 119.35, 119.42, 119.49, 119.56, 119.63, 119.7, 119.77, 119.84, 119.91, 119.98, 120.05, 120.12, 120.19, 120.26, 120.33, 120.4, 120.47, 120.54, 120.61, 120.68, 120.75, 120.82, 120.89, 120.96, 121.03, 121.1, 121.17, 121.24, 121.31, 121.38, 121.45, 121.52, 121.59, 121.66, 121.73, 121.8, 121.87, 121.94, 122.01, 122.08, 122.15, 122.22, 122.29, 122.36, 122.43, 122.5, 122.57, 122.64, 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33.67, 33.74, 33.81, 33.88, 33.95, 34.02, 34.09, 34.16, 34.23, 34.3, 34.37, 34.44, 34.51, 34.58, 34.65, 34.72, 34.79, 34.86, 34.93, 35, 35.07, 35.14, 35.21, 35.28, 35.35, 35.42, 35.49, 35.56, 35.63, 35.7, 35.77, 35.84, 35.91, 35.98, 36.05, 36.12, 36.19, 36.26, 36.33, 36.4, 36.47, 36.54, 36.61, 36.68, 36.75, 36.82, 36.89, 36.96, 37.03, 37.1, 37.17, 37.24, 37.31, 37.38, 37.45, 37.52, 37.59, 37.66, 37.73, 37.8, 37.87, 37.94, 38.01, 38.08, 38.15, 38.22, 38.29, 38.36, 38.43, 38.5, 38.57, 38.64, 38.71, 38.78, 38.85, 38.92, 38.99, 39.06, 39.13, 39.2, 39.27, 39.34, 39.41, 39.48, 39.55, 39.62, 39.69, 39.76, 39.83, 39.9, 39.97, 40.04, 40.11, 40.18, 40.25, 40.32, 40.39, 40.46, 40.53, 40.6, 40.67, 40.74, 40.81, 40.88, 40.95, 41.02, 41.09, 41.16, 41.23, 41.3, 41.37, 41.44, 41.51, 41.58, 41.65, 41.72, 41.79, 41.86, 41.93, 42, 42.07, 42.14, 42.21, 42.28, 42.35, 42.42, 42.49, 42.56, 42.63, 42.7, 42.77, 42.84, 42.91, 42.98, 43.05, 43.12, 43.19, 43.26, 43.33, 43.4, 43.47, 43.54, 43.61, 43.68, 43.75, 43.82, 43.89, 43.96, 44.03, 44.1, 44.17, 44.24, 44.31, 44.38, 44.45, 44.52, 44.59, 44.66, 44.73, 44.8, 44.87, 44.94, 45.01, 45.08, 45.15, 45.22, 45.29, 45.36, 45.43, 45.5, 45.57, 45.64, 45.71, 45.78, 45.85, 45.92, 45.99, 46.06, 46.13, 46.2, 46.27, 46.34, 46.41, 46.48, 46.55, 46.62, 46.69, 46.76, 46.83, 46.9, 46.97, 47.04, 47.11, 47.18, 47.25, 47.32, 47.39, 47.46, 47.53, 47.6, 47.67, 47.74, 47.81, 47.88, 47.95, 48.02, 48.09, 48.16, 48.23, 48.3, 48.37, 48.44, 48.51, 48.58, 48.65, 48.72, 48.79, 48.86, 48.93, 49, 49.07, 49.14, 49.21, 49.28, 49.35, 49.42, 49.49, 49.56, 49.63, 49.7, 49.77, 49.84, 49.91, 49.98, 50.05, 50.12, 50.19, 50.26, 50.33, 50.4, 50.47, 50.54, 50.61, 50.68, 50.75, 50.82, 50.89, 50.96, 51.03, 51.1, 51.17, 51.24, 51.31, 51.38, 51.45, 51.52, 51.59, 51.66, 51.73, 51.8, 51.87, 51.94, 52.01, 52.08, 52.15, 52.22, 52.29, 52.36, 52.43, 52.5, 52.57, 52.64, 52.71, 52.78, 52.85, 52.92, 52.99, 53.06, 53.13, 53.2, 53.27, 53.34, 53.41, 53.48, 53.55, 53.62, 53.69, 53.76, 53.83, 53.9, 53.97, 54.04, 54.11, 54.18, 54.25, 54.32, 54.39, 54.46, 54.53, 54.6, 54.67, 54.74, 54.81, 54.88, 54.95, 55.02, 55.09, 55.16, 55.23, 55.3, 55.37, 55.44, 55.51, 55.58, 55.65, 55.72, 55.79, 55.86, 55.93, 56, 56.07, 56.14, 56.21, 56.28, 56.35, 56.42, 56.49, 56.56, 56.63, 56.7, 56.77, 56.84, 56.91, 56.98, 57.05, 57.12, 57.19, 57.26, 57.33, 57.4, 57.47, 57.54, 57.61, 57.68, 57.75, 57.82, 57.89, 57.96, 58.03, 58.1, 58.17, 58.24, 58.31, 58.38, 58.45, 58.52, 58.59, 58.66, 58.73, 58.8, 58.87, 58.94, 59.01, 59.08, 59.15, 59.22, 59.29, 59.36, 59.43, 59.5, 59.57, 59.64, 59.71, 59.78, 59.85, 59.92, 59.99, 60.06, 60.13, 60.2, 60.27, 60.34, 60.41, 60.48, 60.55, 60.62, 60.69, 60.76, 60.83, 60.9, 60.97, 61.04, 61.11, 61.18, 61.25, 61.32, 61.39, 61.46, 61.53, 61.6, 61.67, 61.74, 61.81, 61.88, 61.95, 62.02, 62.09, 62.16, 62.23, 62.3, 62.37, 62.44, 62.51, 62.58, 62.65, 62.72, 62.79, 62.86, 62.93, 63, 63.07, 63.14, 63.21, 63.28, 63.35, 63.42, 63.49, 63.56, 63.63, 63.7, 63.77, 63.84, 63.91, 63.98, 64.05, 64.12, 64.19, 64.26, 64.33, 64.4, 64.47, 64.54, 64.61, 64.68, 64.75, 64.82, 64.89, 64.96, 65.03, 65.1, 65.17, 65.24, 65.31, 65.38, 65.45, 65.52, 65.59, 65.66, 65.73, 65.8, 65.87, 65.94, 66.01, 66.08, 66.15, 66.22, 66.29, 66.36, 66.43, 66.5, 66.57, 66.64, 66.71, 66.78, 66.85, 66.92, 66.99, 67.06, 67.13, 67.2, 67.27, 67.34, 67.41, 67.48, 67.55, 67.62, 67.69, 67.76, 67.83, 67.9, 67.97, 68.04, 68.11, 68.18, 68.25, 68.32, 68.39, 68.46, 68.53, 68.6, 68.67, 68.74, 68.81, 68.88, 68.95, 69.02, 69.09, 69.16, 69.23, 69.3, 69.37, 69.44, 69.51, 69.58, 69.65, 69.72, 69.79, 69.86, 69.93, 70, 70.07, 70.14, 70.21, 70.28, 70.35, 70.42, 70.49, 70.56, 70.63, 70.7, 70.77, 70.84, 70.91, 70.98, 71.05, 71.12, 71.19, 71.26, 71.33, 71.4, 71.47, 71.54, 71.61, 71.68, 71.75, 71.82, 71.89, 71.96, 72.03, 72.1, 72.17, 72.24, 72.31, 72.38, 72.45, 72.52, 72.59, 72.66, 72.73, 72.8, 72.87, 72.94, 73.01, 73.08, 73.15, 73.22, 73.29, 73.36, 73.43, 73.5, 73.57, 73.64, 73.71, 73.78, 73.85, 73.92, 73.99, 74.06, 74.13, 74.2, 74.27, 74.34, 74.41, 74.48, 74.55, 74.62, 74.69, 74.76, 74.83, 74.9, 74.97, 75.04, 75.11, 75.18, 75.25, 75.32, 75.39, 75.46, 75.53, 75.6, 75.67, 75.74, 75.81, 75.88, 75.95, 76.02, 76.09, 76.16, 76.23, 76.3, 76.37, 76.44, 76.51, 76.58, 76.65, 76.72, 76.79, 76.86, 76.93, 77, 77.07, 77.14, 77.21, 77.28, 77.35, 77.42, 77.49, 77.56, 77.63, 77.7, 77.77, 77.84, 77.91, 77.98, 78.05, 78.12, 78.19, 78.26, 78.33, 78.4, 78.47, 78.54, 78.61, 78.68, 78.75, 78.82, 78.89, 78.96, 79.03, 79.1, 79.17, 79.24, 79.31, 79.38, 79.45, 79.52, 79.59, 79.66, 79.73, 79.8, 79.87, 79.94, 80.01, 80.08, 80.15, 80.22, 80.29, 80.36, 80.43, 80.5, 80.57, 80.64, 80.71, 80.78, 80.85, 80.92, 80.99, 81.06, 81.13, 81.2, 81.27, 81.34, 81.41, 81.48, 81.55, 81.62, 81.69, 81.76, 81.83, 81.9, 81.97, 82.04, 82.11, 82.18, 82.25, 82.32, 82.39, 82.46, 82.53, 82.6, 82.67, 82.74, 82.81, 82.88, 82.95, 83.02, 83.09, 83.16, 83.23, 83.3, 83.37, 83.44, 83.51, 83.58, 83.65, 83.72, 83.79, 83.86, 83.93, 84, 84.07, 84.14, 84.21, 84.28, 84.35, 84.42, 84.49, 84.56, 84.63, 84.7, 84.77, 84.84, 84.91, 84.98, 85.05, 85.12, 85.19, 85.26, 85.33, 85.4, 85.47, 85.54, 85.61, 85.68, 85.75, 85.82, 85.89, 85.96, 86.03, 86.1, 86.17, 86.24, 86.31, 86.38, 86.45, 86.52, 86.59, 86.66, 86.73, 86.8, 86.87, 86.94, 87.01, 87.08, 87.15, 87.22, 87.29, 87.36, 87.43, 87.5, 87.57, 87.64, 87.71, 87.78, 87.85, 87.92, 87.99, 88.06, 88.13, 88.2, 88.27, 88.34, 88.41, 88.48, 88.55, 88.62, 88.69, 88.76, 88.83, 88.9, 88.97, 89.04, 89.11, 89.18, 89.25, 89.32, 89.39, 89.46, 89.53, 89.6, 89.67, 89.74, 89.81, 89.88, 89.95, 90.02, 90.09, 90.16, 90.23, 90.3, 90.37, 90.44, 90.51, 90.58, 90.65, 90.72, 90.79, 90.86, 90.93, 91, 91.07, 91.14, 91.21, 91.28, 91.35, 91.42, 91.49, 91.56, 91.63, 91.7, 91.77, 91.84, 91.91, 91.98, 92.05, 92.12, 92.19, 92.26, 92.33, 92.4, 92.47, 92.54, 92.61, 92.68, 92.75, 92.82, 92.89, 92.96, 93.03, 93.1, 93.17, 93.24, 93.31, 93.38, 93.45, 93.52, 93.59, 93.66, 93.73, 93.8, 93.87, 93.94, 94.01, 94.08, 94.15, 94.22, 94.29, 94.36, 94.43, 94.5, 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104.09, 104.16, 104.23, 104.3, 104.37, 104.44, 104.51, 104.58, 104.65, 104.72, 104.79, 104.86, 104.93, 105, 105.07, 105.14, 105.21, 105.28, 105.35, 105.42, 105.49, 105.56, 105.63, 105.7, 105.77, 105.84, 105.91, 105.98, 106.05, 106.12, 106.19, 106.26, 106.33, 106.4, 106.47, 106.54, 106.61, 106.68, 106.75, 106.82, 106.89, 106.96, 107.03, 107.1, 107.17, 107.24, 107.31, 107.38, 107.45, 107.52, 107.59, 107.66, 107.73, 107.8, 107.87, 107.94, 108.01, 108.08, 108.15, 108.22, 108.29, 108.36, 108.43, 108.5, 108.57, 108.64, 108.71, 108.78, 108.85, 108.92, 108.99, 109.06, 109.13, 109.2, 109.27, 109.34, 109.41, 109.48, 109.55, 109.62, 109.69, 109.76, 109.83, 109.9, 109.97, 110.04, 110.11, 110.18, 110.25, 110.32, 110.39, 110.46, 110.53, 110.6, 110.67, 110.74, 110.81, 110.88, 110.95, 111.02, 111.09, 111.16, 111.23, 111.3, 111.37, 111.44, 111.51, 111.58, 111.65, 111.72, 111.79, 111.86, 111.93, 112, 112.07, 112.14, 112.21, 112.28, 112.35, 112.42, 112.49, 112.56, 112.63, 112.7, 112.77, 112.84, 112.91, 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