I'm just getting started tackling a similar situation, but I believe this may address your needs:
http://www.codeproject.com/Articles/246772/Convert-xlsx-xls-to-csv
This uses the ExcelDataReader api that you can get from NuGet
http://exceldatareader.codeplex.com/
Like Tim was saying, you're going to have to make sure and possibly validate that the columns and structure are the same between sheets. You may also have to eat the header rows on all the sheets after the first one. I'll post an update and some code samples once I've finished.
Update [7/15/2013]. Here's my finished code. Not very fancy, but it gets the job done. All of the sheets are tables in the DataSet, so you just loop through the tables adding onto your destination. I'm outputting to a MongoDB, but I'm guessing you can swap that out for a StreamWriter for your CSV file rather easily.
private static void ImportValueSetAttributeFile(string filePath)
{
FileStream stream = File.Open(filePath, FileMode.Open, FileAccess.Read);
// Reading from a OpenXml Excel file (2007 format; *.xlsx)
IExcelDataReader excelReader = ExcelReaderFactory.CreateOpenXmlReader(stream);
// DataSet - The result of each spreadsheet will be created in the result.Tables
DataSet result = excelReader.AsDataSet();
// Free resources (IExcelDataReader is IDisposable)
excelReader.Close();
var connectionString = ConfigurationManager.ConnectionStrings[0].ConnectionString;
var database = ConfigurationManager.AppSettings["database"];
var mongoAccess = new MongoDataAccess(connectionString, database);
var cdm = new BaseDataManager();
int ind = 0;
for (int i = 0; i < result.Tables.Count; i++)
{
int row_no = 1;
while (row_no < result.Tables[ind].Rows.Count) // ind is the index of table
// (sheet name) which you want to convert to csv
{
var currRow = result.Tables[ind].Rows[row_no];
var valueSetAttribute = new ValueSetAttribute()
{
CmsId = currRow[0].ToString(),
NqfNumber = currRow[1].ToString(),
ValueSetName = currRow[2].ToString(),
ValueSetOid = currRow[3].ToString(),
Definition = currRow[4].ToString(),
QdmCategory = currRow[5].ToString(),
Expansion = currRow[6].ToString(),
Code = currRow[7].ToString(),
Description = currRow[8].ToString(),
CodeSystem = currRow[9].ToString(),
CodeSystemOid = currRow[10].ToString(),
CodeSystemVersion = currRow[11].ToString()
};
cdm.AddRecords<ValueSetAttribute>(valueSetAttribute, "ValueSetAttributes");
row_no++;
}
ind++;
}
}