I know how to call the import api to upload a pbix file in C#, however I don't have much expertise on PowerShell. Please reference below C# code and modify the powershell script accordingly
using System; using System.Net; using System.IO; namespace PBIGettingStarted { class Program { //Access key for app token private static string accessKey = "myaccesskey"; //Power BI app token values private static string workspaceCollectionName = "myworkspace"; private static string workspaceId = "myworkspaceid"; private static string pbixFileName = "AdventureWorksdddd.pbix"; static void Main(string[] args) { //Imports uri var uri = String.Format ("https://api.powerbi.com/v1.0/collections/{0}/workspaces/{1}/imports?datasetDisplayName=SampleImport", workspaceCollectionName, workspaceId); //PBIX file to import DirectoryInfo di = new DirectoryInfo(AppDomain.CurrentDomain.BaseDirectory); string fileName = @"C:\test\mytest.pbix"; //Create web request HttpWebRequest request = (HttpWebRequest)WebRequest.Create(uri); //Import Request format: // Header: // Content - Type: multipart / form - data; ----------BOUNDARY // Authorization: AppToken // Body: // ----------BOUNDARY // Content - Disposition: form - data; filename = "{pbix file}.pbix" // Content - Type: application / octet – stream //Define POST request.Method = "POST"; request.UseDefaultCredentials = true; //Header // Boundary string boundary = "----------BOUNDARY"; byte[] boundaryBytes = System.Text.Encoding.ASCII.GetBytes("\r\n--" + boundary + "\r\n"); // Content - Type request.ContentType = "multipart/form-data; boundary=" + boundary; // Authorization - Use AppToken jwt for Authorization header request.Headers.Add("Authorization", String.Format("AppKey {0}", accessKey)); //Body string bodyTemplate = "Content-Disposition: form-data; filename=\"{0}\"\r\nContent-Type: application / octet - stream\r\n\r\n"; string body = string.Format(bodyTemplate, fileName); byte[] bodyBytes = System.Text.Encoding.UTF8.GetBytes(body); //Get request stream using (Stream rs = request.GetRequestStream()) { rs.Write(boundaryBytes, 0, boundaryBytes.Length); rs.Write(bodyBytes, 0, bodyBytes.Length); using (FileStream fileStream = new FileStream(fileName, FileMode.Open, FileAccess.Read)) { byte[] buffer = new byte[4096]; int bytesRead = 0; while ((bytesRead = fileStream.Read(buffer, 0, buffer.Length)) != 0) { rs.Write(buffer, 0, bytesRead); } } byte[] trailer = System.Text.Encoding.ASCII.GetBytes("\r\n--" + boundary + "--\r\n"); rs.Write(trailer, 0, trailer.Length); } //Get response using (HttpWebResponse response = request.GetResponse() as System.Net.HttpWebResponse) { //If Import succeeds, StatusCode = Accepted var responseStatusCode = response.StatusCode.ToString(); } } } }