insert magneto category not working

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magento

when i try to insert new category in database no error appear and no category inserted here is my code what is wrong

not that the new categories are parent not child

$cat_arr have some categories

try{
                $category = Mage::getModel('catalog/category');
                foreach ($cat_arr as $cat ) {


                        $category->setName($cat['shortName']);
                        $category->setUrlKey($cat['localizedId']);
                        $category->setIsActive(1);
                        $category->setDisplayMode('PRODUCTS');
                        $category->setIsAnchor(1); //for active achor
                        $category->setDescription($cat['name']);

                        $category->setStoreId(Mage::app()->getStore()->getId());
                        $category->setAttributeSetId($category->getDefaultAttributeSetId());
                        // $parentCategory = Mage::getModel('catalog/category')->load($parentId);
                        // $category->setPath($parentCategory->getPath());

                        $category->save();
                    }
                    } catch(Exception $e) {
                        var_dump($e);
                    }